I'm really confused on this one... plz help me!
~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~
Consider the situation where the Robinson family is driving home from visiting their relatives The table driving a certain amount of time, x shows how many miles, y, remain after Use the table, choose all that are correct.

A) The function that models the situation is y- 325 25x

B) The function that models the situation is y- 350-50x

C) The rate of change defined by the function is 50

D) The initial value defined by the function is 350

I'm Really Confused On This One... Plz Help Me!~~~~~~~~~~~~~~~~~Consider The Situation Where The Robinson

Answers

Answer 1

Answer: Choice B and choice D

The function that models the situation is y = 350 - 50x

The initial value defined by the function is 350

====================================================

Explanation:

Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)

The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.

The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.

Answer 2
Final answer:

The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.

Explanation:

The function that models the situation is y = 350 - 50x.

B) The function that models the situation is y = 350 - 50x.

C) The rate of change defined by the function is 50.

D) The initial value defined by the function is 350.

To determine the function that models the situation, we can use the table provided.

The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.

Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.

The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.

In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.

The initial value of 350 represents the distance remaining when no time has passed (x = 0).

This means that when the family starts their drive, they have 350 miles left to travel.

Therefore, option D is correct.


Related Questions

Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly. The expression below shows the depreciated sales value of the gadget: 2020 – 22m What does the variable of the expression represent? The monthly depreciation value of the gadget. The amount of money Megan will get when she sells the gadget. The number of months Megan will wait to sell the gadget. The original value of the gadget.

Answers

Answer:

3. The number of months Megan will wait to sell the gadget.

Step-by-step explanation:

We have been given that Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciates monthly.

The expression below shows the depreciated sales value of the gadget: [tex]2020-22m[/tex]

From above expression we can see that gadget's original value is $2020 and its value falls by $22 every month and m represents the number of months after which Megan will sell her gadget.

Therefore, the variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice.  


The variable m represents the number of months Megan will wait to sell the gadget and 3rd option is the correct choice. The variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.

The original value of the gadget is 2020, and the monthly depreciation value is 22.

So, the expression 2020 – 22m represents the amount of money Megan will get when she sells the gadget after m months.

If Megan waits for 0 months to sell the gadget, then m = 0 and she will get

2020 – 22 * 0 = $2020.

If Megan waits for 1 month to sell the gadget, then m = 1 and she will get

2020 – 22 * 1 = $1998.

Therefore, the variable m in the expression 2020 – 22m represents the number of months Megan will wait to sell the gadget.

Learn more about Depreciation here:

https://brainly.com/question/17827672

#SPJ3

HELP PLEASE! 49 POINTS!


show work!!!!!!

Answers

Answer:

1. y = 2/3 x +2

2.  y = -x -8

Step-by-step explanation:

The slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept

1. y = 2/3 x +2

2.  y = -x -8

ANSWER:

1. y = 2/3x + 2

2. y = -1x + -8

ABOUT SLOPE INTERCEPT FORM:

y = mx + bm represents the slopeb represents the starting point AKA the y - intercept

Hope this helps you!!! :)

Is (0,0) a solution to this system? y ≥ x^2 - 4 y < 2x - 1

A. Yes. (0,0) satisfies both inequalities.

B. No. (0,0) satisfies y < 2x - 1 but does not satisfy y ≥ x^2 - 4.

C. No. (0,0) does not satisfy either inequality.

D. No. (0,0) satisfies y ≥ x^2 - 4 but does not satisfy y < 2x - 1.

Answers

The inequality y ≥ x^2-4 satisfies (0,0) but the inequality y < 2x-1

does not satisfy (0,0).  

Finding solution of both the inequalities:Consider the inequality  y ≥ x^2-4   -------(i)

          Substitute (x,y)=  (0,0) in the above inequality

                                   0 ≥ (0^2)-4

                                         0 ≥ -4

              The above inequality is true.

             Hence, (0,0) is the solution of inequality (i)

Consider the inequality y < 2x-1   ---------(ii)

          Substitute (x,y)=  (0,0) in the above inequality

                                0 < 2(0) - 1

                                0 <  -1

                The above inequality is not true.

          Hence (0,0) does not satisfy the above inequality (ii).

Learn more about the System of solutions:

https://brainly.com/question/14307357?referrer=searchResults

#SPJ2

Given cos a= 3/5, sin B = 5/13 and a and B are first quadrant angles find cos(a + B)
A. 1/3
B. 16/65
C. -33/65

Please explain

Answers

Answer:

Option B is correct.

Value of cos(a+B) is,  [tex]\frac{16}{65}[/tex]

Step-by-step explanation:

Using the formula:

[tex]\cos(a+B) = \cos a \cos B -\sin a \sin B[/tex]

Given the values:

[tex]\cos a = \frac{3}{5}[/tex] and [tex]\sin B = \frac{5}{13}[/tex]

Using trigonometric identity:

[tex]\sin^2 \theta + \cos^2 \theta =1[/tex]

or

[tex]\sin \theta = \sqrt{1-\cos^2 \theta}[/tex]

or

[tex]\cos \theta = \sqrt{1-\sin^2 \theta}[/tex]

Find the value of sin a and cos B;

Using trigonometric identity:

[tex]\sin a = \sqrt{1-\cos^2 a}[/tex]

[tex]\sin a = \sqrt{1-(\frac{3}{5})^2}[/tex] = [tex]\sqrt{1-\frac{9}{25}} = \sqrt{\frac{25-9}{25}}=\sqrt{\frac{16}{25} } =\frac{4}{5}[/tex]

Similarly;

[tex]\cos B = \sqrt{1-\sin^2 B}[/tex]

[tex]\cos B = \sqrt{1-(\frac{5}{13})^2}[/tex] = [tex]\sqrt{1-\frac{25}{169}} = \sqrt{\frac{169-25}{169}}=\sqrt{\frac{144}{169} } =\frac{12}{13}[/tex]

Substitute these given values equation [1] we have;

[tex]\cos(a+B) =\frac{3}{5} \cdot \frac{12}{13}-\frac{4}{5} \cdot \frac{5}{13}[/tex]

[tex]\cos(a+B) =\frac{36}{65}-\frac{20}{65}[/tex]

then;

[tex]\cos(a+B) =\frac{36-20}{65}=\frac{16}{65}[/tex]

Since, the angles a and B are in first quadrant angles therefore the value of cos(a+B) is, [tex]\frac{16}{65}[/tex]


Final answer:

To find cos(a + B), use the formula cos(a + B) = cos(a)cos(B) - sin(a)sin(B). Substitute the given values of cos(a) = 3/5 and sin(B) = 5/13, and solve for cos(B) using the Pythagorean identity. Then substitute all the values into the formula and simplify to find cos(a + B) = 16/65.

Explanation:

To find cos(a + B), we can use the formula:

cos(a + B) = cos(a)cos(B) - sin(a)sin(B)

Given that cos(a) = 3/5 and sin(B) = 5/13, we can substitute these values into the formula:

cos(a + B) = (3/5)(cos(B)) - (sin(a))(5/13)

To find cos(B), we can use the Pythagorean identity:

cos²(B) + sin²(B) = 1

Substituting the given value of sin(B), we can solve for cos(B):

cos(B) = √(1 - (5/13)²)

Now we can substitute the values of cos(a), sin(B), and cos(B) into the formula for cos(a + B):

cos(a + B) = (3/5)(√(1 - (5/13)²))) - (5/13)(5/13)

Simplifying this expression gives us the final answer: cos(a + B) = 16/65.

plz help me with these two questions :)

Answers

26)b and c
27) a, b and c
26 would be B I don't know what the other one is

5y - 10 = -25
ok try this one buster.

Answers

Answer:

Y= -3

Step-by-step explanation:

5y-10=-25     Add 10 on both sides

5y=-15      Divide by 5 on both sides

y=-3

what is the algebr expression for the following word phrase: the produc of 4 more then x and 6?

a)4(x+6)
b) 6(x+4)
c)6+(x+4)
d)6-(x+4)

Answers

Answer:

b) 6(x + 4)

Step-by-step explanation:

The given word phrase "The product of 4 more than x and 6"

4 more than x = 4 + x

The product "4 + x" and 6

6(x + 4)

Answer: b) 6(x + 4)

What is the probability that both spinners will land on 2? AMSWERS- A)1/12 B)1/6 C)1/4 D)1/3

ONE GRAPH IS 1,2,3 AND THE OTHER GRAPH SHOWS 1,2,3,4 OUTCOMES

Answers

Answer:

The probability that both spinners will land on 2 is A) 1/12.

Step-by-step explanation:

To get this answer you must:

-First, take the total number of outcomes and set that as you denominator, which would be 3.

-Since, your looking for the probability of two, and there is only one two you would put one as your numerator. By now you should have a fraction of: 1/3.

-Next, do the same exact thing for the next graph. Take the total number of outcomes for the graph which is 4, and set that as your denominator.

-Then, set one as your numerator since there is only one two in the other graph. You should now have a second fraction of: 1/4.

-Lastly, multiply both of the fractions. Multiply both of the numerator together and you should get one. Then, multiply both of the numbers which would result in you getting a  number of 12.

1/3(1/4) = 1/12.

Jill bought a 9 pound bag of cat food for her cats. She had used 4/5 of the bag. How many pounds has she used?

A. 9 4/5

B. 8 4/5

C. 8 3/5

D. 7 1/5

Answers

Answer:

D. 7 1/5

Step-by-step explanation:

We would calculate the amount of pounds she used by multiplying the total amount of cat food = 9 to the amount she has used = 4/5

= [tex]9 * \frac{4}{5}[/tex]

= [tex]\frac{36}{5}[/tex]

= [tex]7 \frac{1}{5}[/tex]

(An image is attached for the calculation)

The coordinates of the vertices of JKL are J(-5, -1), K(0, 1) , and L(2, -5). Which statement correctly describes whether JKL is a right triangle?

Answers

Answer:

It is NOT a right triangle.

Step-by-step explanation:

You must figure out the slopes of the segments of the triangle to see if it is a right triangle. If they are perpendicular (meaning the slopes are negative reciprocals of each other), they form a right angle, making it a right triangle.

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex] This formula finds slope using two points.


Let's figure out the slope of JK.

(-1-1)/(-5-0) = m

Simplify.

-2/-5 = m

A negative divided by a negative makes a positive.

2/5 = m

Now LK.

(-5-1)/(2-0) = m

Simplify.

-6/2 = m

Divide.

-3/1 = m

Now JL.

(-1+5)/(-5-2) = m

Simplify.

4/-3 = m

None of these slopes are negative reciprocals of each other, thus deeming it not a right triangle.

Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠3?
A) ∠5 and ∠6
B) ∠5 and ∠7
C) ∠6 and ∠7
D) ∠6 and ∠8

Answers

C) 6 and 7.

angles that are opposite to each other are congruent.

Answer:

C) ∠6 and ∠7

Step-by-step explanation:

We have been given that lines a and b are parallel. We are asked to find the angle on line b that will be congruent to angle 3.

We can see that angle 3 is under the line a and on the left side of transversal.

We know that the corresponding angles and alternate interior angles formed by two parallel lines are equal.

We can see that angle 7 corresponds to angle 3 and angle 6 is alternate interior angle of angle 3.

Therefore, angle 7 and angle 6 will be congruent with angle 3 and option C is the correct choice.

If the original price is $23.99 and the mark down is 44% what is the sale price

Answers

Answer:

The sale price is $13.43

Step-by-step explanation:

In order to find the sale price of an item, we multiply it by the remaining percentage of cast left. Since we are subtracting 44% of the cost, that means that we are paying 56% of it. Therefore, we can multiply the cost by 56%

23.99 * .56 = $13.43

Answer: $13.43

Step-by-step explanation:

make your 22% a decimal by dividing it by 100 equaling 0.22 then since its markDOWN you subtract 1.00 - 0.22 equaling 0.88 then multiply 0.88 by $23.99 which is supposed to equal $13.43

What is the diameter of a circle with a circumference of 66 ft? Use 22/7 for pie

Answers

Answer:

21 ft

Step-by-step explanation:

Diameter = Circumference/Pi

Diameter = 66/(22/7)

Diameter = 21

What is the pattern and slope ? Please answer !!

Answers

Answer:

The slope is 3

Step-by-step explanation:

To find the slope we can use the formula

m = (y2-y1)/ (x2-x1)

Using the points (5,14) and (-5,-16)

m= (-16-14)/ (-5-5)

  = -30/-10

 = 3

Point M is between points L and N on segment LN. LM=5x, MN=2x+4, and LN=10x-16
Use the information to solve for x, and then find LN, LM, and MN.

Answers

Answer:

x= 6.6

LM= 33

MN= 17.2

LN=50

Step-by-step explanation:

10x-16= 5x+2x+4 (LN=LM+MN)

10x-16=7x+4

3x-16=4

3x=20

x=6.6

then plug 6.6 back into equation and round to the nearest whole number.

What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ... 4,372 12,288 16,383 65,535

Answers

Answer:

16,383 or C

Step-by-step explanation:


Answer:

Option 3rd is correct.

Step-by-step explanation:

Given: 3 + 12 + 48 + 192 + .......

We have to find : Sum of first seven term of the given Geometric series.

First term , a = 3

Common ratio , r = [tex]\frac{12}{3}=4[/tex]

Sum of the n term of series,  [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

So,

[tex]S_7=\frac{3(1-4^7)}{1-4}[/tex]

[tex]S_7=\frac{3(1-4^7)}{-3}[/tex]

[tex]S_7=-(1-16384)[/tex]

[tex]S_7=-(-16383)[/tex]

[tex]S_7=16383[/tex]

Therefore, Option 3rd is correct.

A moving walkway at an airport moves at a pace of 1.75 feet per second. If you stand on the walkway as it moves, how long will it take to transport you 280 feet? CLEAR CHECK 160 seconds 278.25 seconds 490 seconds 625 seconds

Answers

Answer:

2 minutes 40 sec

Step-by-step explanation:

Recall that distance = rate times time.

Thus, time = distance / rate.

Here,

time = 280 ft / (1.75 ft/sec) = 160 sec, or 2 minutes 40 sec

Final answer:

To calculate the time it takes to travel 280 feet on a moving walkway at an airport moving at a pace of 1.75 feet per second, we use the formula time = distance/pace. This equates to approximately 160 seconds.

Explanation:

The question is asking about the time it takes to transport someone along a distance of 280 feet by a moving walkway in an airport, given that the pace of the walkway is 1.75 feet per second. To answer this, you use the formula of time = distance/pace. So we have time = 280 feet / 1.75 feet per second. This calculation will give you the answer in seconds. When you do this calculation, you will find that it takes approximately 160 seconds to cover that distance on the moving walkway.

Learn more about Time-Distance Calculation here:

https://brainly.com/question/32817533

#SPJ2

There are 40 girls and 32 boys who want to participate in the relay race. If each team must have the same number of girls and boys, A) what is the greatest number of teams that can race? B) How many boys and girls will be on each team?

Answers

Answer:

8 teams

5 girls and 4 boys

Step-by-step explanation:

To determine how many teams we can have , we need to determine the greatest common factor.

 girls:40 = 5*8

boys:32 = 4*8

The greatest common factor is 8

So we will have 8 teams

There will be 5 girls and 4 boys on each team

Jorge wrote the expression x + x + x + x + 3 to represent the sequence shown in the diagram at right. Does his expression make sense? Explain.

Answers

Answer:


Step-by-step explanation:

no because x can equal anything. It should at least write down a second number for it to be solved correctly.

The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $12 per ticket to the planetarium. The second day they paid $90 for transportation plus $9 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

Answers

Answer:  Total: 30 + 20y + 85 + 17y  This is the not simplified version.

37y+115 This is the simplified version. Hope this helps


Step-by-step explanation: I really don't know the steps.?


Four friends went to a local amusement park. Three of the friends bought ride tickets for x dollars, plus a game pass for $10. The other friend bought just a ride ticket. Write and simplify an expression showing the amount of total money spent.

Answers

Answer:

4X + 30 = TOTAL AMOUNT OF MONEY

Step-by-step explanation:

All of them bought a ride ticket (that explains the 4x)

3 of them also bought a game pass thet costs $10 each. That explains the 30


going deeper: If the total amount of money was $70

The tickets would've costed $10 each.

Look:

4x + $30 = $70

4x = 70 - 30

4x = 40

x = 40/4

x =$10

4x + 30

X=$10 dollars for each ticket the whole is $70

Are the equations 2x + 14 = 8 and x = -3 equivalent? Explain.

Answers

Answer:

They are equivalent

Step-by-step explanation:

2x+14 = 8

Lets solve for x

Subtract 14 from each side

2x+14-14 = 8-14

2x = -6

Divide by 2

2x/2 = -6/2

x = -3

They are the same

Answer:

Yes

Step-by-step explanation:

Solving for 2x+14=8

Subtract 14 on both sides: 2x= 8-14

2x = -6

Divide by 2: x = -3

-3 = -3

Hope this helps!!

Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

Answers

Answer:

m∠A=m∠D=60°, m∠B=m∠C=120°

Step-by-step explanation:

Consider isosceles trapezoid ABCD with midsegment MN. Draw two trapezoid heights BF and CE. Then quadrilateral FBCE is rectangle and EF=BC=17 units.

By the trapezoid midsegment theorem,

[tex]MN=\dfrac{AD+BC}{2},\\ \\30=\dfrac{AD+17}{2},\\ \\60=AD+17,\\ \\AD=60-17=43\ units.[/tex]

Segments FA and ED are equal to [tex]\dfrac{43-17}{2}=13\ units.[/tex]

In right triangle ABF, the hypotenuse AB is twice greater than the leg FA, then m∠FBA=30°.

m∠B=m∠FBA+m∠CBF=30°+90°=120°.

In isosceles trapezoid

m∠B=m∠C=120°,

m∠A=m∠D and m∠A=180°-m∠B=180°-120°=60°=m∠D.


Final answer:

In a trapezoid with equal bases and a midsegment, the angle measures of the trapezoid can be determined using the properties of the figure. In this case, the angle measures are 90 degrees for each angle.

Explanation:

In a trapezoid ABCD, the midsegment MN is parallel to the bases AB and CD, and its length is equal to the average of the lengths of the bases. Given that AB = 26, CD = 26, and MN = 30, we can set up the equation: MN = (AB + CD) / 2. Substituting the given values, we get 30 = (26 + 26) / 2. Solving for the angle measures, we can use the fact that the opposite angles in a trapezoid are congruent. So, m∠A = m∠C and m∠B = m∠D. Since the sum of the interior angles of a trapezoid is always 360 degrees, we can use the equation: m∠A + m∠B + m∠C + m∠D = 360. Substituting the angle measures we found, we get 2(m∠A) + 2(m∠B) = 360. Solving for the angle measures, we get m∠A = m∠C = 90 degrees and m∠B = m∠D = 90 degrees.

Learn more about trapezoid here:

https://brainly.com/question/40147102

#SPJ3

what is the value of the lower quartile?
a.0
b.8
c.6
d.2
thank you!

Answers

Answer:

D

Step-by-step explanation:

From the box- plot the left hand side of the box represents the lower quartile

that is [tex]Q_{1}[/tex] = 2 → D


What is the pattern in this sequence?

1,9,17,25,33,...

Select from the drop down box to correctly complete the rule.
First Box
Add
Multiply by
Subtract
Divide by

Second box
9
8
-5
-9

Choose one from each box!



2. The ordered pairs model an exponential growth function
{(-1, 21.875), (0,35), (1,56), (2, 89.6)}
what is the function equation?

Enter your answer in the box
F(x)=

Answers

Answer in #1 it ads up by 8


Number 1 is Add by 8

& I'm not sure about number 2


multiplying integers


3(-7)

Answers

Answer:

-21

Step-by-step explanation:

3(-7)

3*7 =21

A positive times a negative is a negative

-21

Answer:

3x-7=21 ( i think )

Step-by-step explanation:

when you have a parenthesis beside a number you always multiply. A negative times a positive is a negative,

Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3 Select the correct answer from the drop-down menu.

Answers

Answer: Inconsistent

Step-by-step explanation:

y = 3x + 4   → m = 3, b = 4

y = 3x + 3   → m = 3, b = 3

These equations have the same slope but different y-intercepts so they are parallel lines which means they will never intersect.

NOTES

one solution: consistent & independent        lines crossinfinite solutions: consistent & dependent     same lineno solution: inconsistent                                  parallel lines

Answer:

Inconsistent

Step-by-step explanation:

Write as a numeral: 200,000+20,000+3,000+200+20+8

Answers

[tex]200,000+20,000+3,000+200+20+8=223,228\\\\200,000\\.\ 20,000\\.\ \ 3,000\\.\ \ \ \ \ 200\\.\ \ \ \ \ \ \ 20\\\underline{+\qquad\ 8}\\223,228[/tex]

What are the x–coordinates of the three points where the graphs of the equations intersect? x3 – 10x = x2 – 6

Answers

Answer:

(- 3, 0), (2 + [tex]\sqrt{2}[/tex], 0), (2 - [tex]\sqrt{2}[/tex], 0)

Step-by-step explanation:

rearrange the equation equating to zero

x³ - x² - 10x + 6 = 0

note that when x = - 3

(- 3)³ - (- 3)² - 10(- 3) + 6 = - 27 - 9 + 30 + 6 = 0, hence

x = - 3 is a root and (x + 3) is a factor of the polynomial

dividing x³ - x² - 10x + 6 ÷ (x + 3) gives

(x + 3)(x² - 4x + 2) = 0

solve x² - 4x + 2 = 0 using the quadratic formula

with a = 1, b= - 4 and c = 2

x = (4 ± [tex]\sqrt{16-(4(1)(2)}[/tex])/ 2

  = (4 ± [tex]\sqrt{8}[/tex]) / 2

  = (4 ± 2[tex]\sqrt{2}[/tex]) / 2

  = 2 ±[tex]\sqrt{2}[/tex], hence

x = 2 + [tex]\sqrt{2}[/tex], x = 2 - [tex]\sqrt{2}[/tex]

intersect at (- 3, 0), (2 +[tex]\sqrt{2}[/tex], 0), (2 - [tex]\sqrt{2}[/tex], 0)



Answer: [tex]\bold{x=-3,\quad x=2+\sqrt{2}, \quad x=2-\sqrt{2} }}[/tex]

Step-by-step explanation:

First, move all terms to one side with zero on the other side so the Zero Product Property can be applied:

x³ - x² - 10x + 6 = 0    Possible rational roots are: ±{1, 2, 3, 6}

Use synthetic division to find one of the roots.  Let's try x = -3

-3 |  1    -1    -10    6

   |  ↓   -3    12    -6

      1    -4     2     0  ← remainder is zero, so x = -3 is a root/intercept


Next, evaluate the reduced polynomial x² - 4x + 2 = 0

This can not be factored so use the quadratic formula to find the remaining roots/intercepts: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a = 1, b = -4, c = 2

[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}[/tex]

 [tex]=\dfrac{4\pm\sqrt{16-8}}{2}[/tex]

 [tex]=\dfrac{4\pm\sqrt{8}}{2}[/tex]

 [tex]=\dfrac{4\pm2\sqrt{2}}{2}[/tex]

 [tex]=2\pm\sqrt{2}[/tex]

[tex]x=2+\sqrt{2}\qquad x=2-\sqrt{2}[/tex]

Intercepts are [tex]x=-3,\quad x=2+\sqrt{2}, \quad x=2-\sqrt{2}}[/tex]


What number is 0.95 of 3500

Answers

Answer:

Alright well Convert fraction to an decimal, then multiply by 100

0.02714285% Hope this helps have a nice day :)

Step-by-step explanation:


the answer is 33.25 because if 3500 equal 100% and x equals 0.95 it will simplify into 33.25
Other Questions
Which expression is equal to (In picture) HELP ASAP PLZ! BRAINLIEST! Read the sentence: Our plan is to rove the country, traveling by car and camping when we feel a need to stop. Which word could you substitute for rove that tells the reader that it was a carefree and fun trip? Drift: to move in a random or casual way Gad: to be on the go without specific aim or purpose Gallivant: to go about, or roam for pleasure Saunter: to walk about in a leisurely way Im doing history can anybody help me please Discuss the shapes of s- orbitals, p-orbitals and d-orbitals. he data set represents the number of miles Mary jogged each day for the past nine days.6, 7, 5, 0, 6, 12, 8, 6, 9The outlier of the data set is If f(x) =-x2 +6x -1 and g(x)=3x2-4x-1 find f-g (x) how to write about freedom A ladder leaning against a wall makes a 60o angle with the ground. The base of the ladder is 4 m from the building. How high above the ground is the top of the ladder? What is the GCF of 18 and 27? Complete these sentences with the appropriate verb in the present perfect tense. (Por ejemplo he cantado) How was Martin Luther influential in the beginning of the reformation CIVICS QUESTION PLEASE HELPPP!!!Which of the following is a true statement about the map? The border between Washington and Canada is a thin, blue line; this indicates an international boundary. The border between Canada and Maine is a thin, black line; this indicates a state boundary. The border between Washington and Canada is a thin, black line; this indicates an international boundary. The border between Canada and Maine is a thick, black line; this indicates an international boundary. Maya earns 72 dollars for working 5 hours. How long will it take for her to earn 216 dollars at the same pay rate? Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7I Need Answer ASAPA. Multiply the first equation by 4.B. Add the first equation to the second equation.C. Multiply the second equation by -1D. Subtract the second equation from the first equation. Which of the following correctly defines topicalization?the subject of a sentence is the topic based on word order.the action word in the sentence starts the sentence in ASL as the topic.the object of a sentence is the topic based on word order.process of establishing the topic at the beginning of a sentence with non-manual expression. What is the relationship between the changes in the radii and the volume? What is the sum of + in simplistic form Ill give brainlest!!!!! Pleaseeeeee!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! What problems still existed in Italy after WW2? What might this lead to? Steam Workshop Downloader