WILL BE MARK BRAINL 2(2x+32)+2/5(4x+4)

Answers

Answer 1

= 28/5x + 328/5

is the answer. work is on attached piece of paper

WILL BE MARK BRAINL 2(2x+32)+2/5(4x+4)
Answer 2

Answer:

4

(

7

x

+

82

)

5

Step-by-step explanation:


Related Questions

Which answer describes the function f(x)=2x^3-x^2

Odd
Even
Neither

Answers

it is neither, it cannot be raised to a power unless it is 0 or 1 :)

The function is neither an odd function nor an even function

The function is given as:

f(x)=2x^3-x^2

Calculate f(-x)

f(-x)= 2(-x)^3 - (-x)^2

f(-x)= -2x^3 - x^2

Calculate -f(x)

-f(x)= -2x^3 + x^2

From the above computation,

f(x), f(-x) and -f(x) are not equal

Hence, the function is neither an odd function nor an even function

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Why is this wrong in Sudoku? I know I can’t put any of the same number in the same row, column, or box with numbers 1-9. But this 3 in red is not breaking those rules. I’m new to sudoku so please help!

Answers

If you put the red 3 where it is, you would be forced to put another 3 on the top-left corner of the central-left square. This would violate the first column.

This implies that the 3 in the central square must be in the top-central place.

which of the following is a disadvantage to purchasing points​

Answers

Answer:closing cost increase and savings are gained after the break-even point

Step-by-step explanation:

The disadvantage to purchasing points is closing costs are an increased option (B) is correct.

What is a closing cost?

Fees paid at the conclusion of a real estate transaction are known as closing costs.

The complete question is:

Which of the following is a disadvantage to purchasing points

A.they lower monthly paymentsB.closing costs are increasedC.An immediate tax break is receivedD.the interest rate is lowered for the life of the loan

As we know, the payments paid directly to the lender during closing in exchange for a lower interest rate are referred to as mortgage points or discount points.

By doing this, the buyer lowers the rate, which lowers his monthly mortgage payments.

Thus, the disadvantage to purchasing points is closing costs are an increased option (B) is correct.

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Plz Help me 50 points to who ever answers firstt

Answers

Answer:

[tex]\boxed{\bold{57 \ Ft.}}[/tex]

Step-by-step explanation:

Assignment: Find area of rectangle without triangle

Area of whole rectangle including triangle: 66 Feet

(6 * 11 = 66)

Area of Triangle: [tex]\bold{\frac{1}{2}Base \ \cdot \ Height }[/tex]

Height: 3

Base: 6 (Solved by using this: (11 - 2 + 3))

Half of base: 3

3 * 3 = 9

66 - 9 = 57

16 =2/3 f equals what

Answers

Answer:

The answer is f = 24

Step-by-step explanation:

In order to find this, multiply both sides by 3/2

16 = 2/3f

24 = f

f=24


16 = (2/3)*f // - (2/3)*f

16-((2/3)*f) = 0

(-2/3)*f+16 = 0

16-2/3*f = 0 // - 16

-2/3*f = -16 // : -2/3

f = -16/(-2/3)

f = 24

Can someone please answer the chart part please?? ASAP!!

Answers

When x=0, that’s the y-intercept. So in this case the y-intercept would be (0,2)

Please help and thank you

Answers

Answer:

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Step-by-step explanation:

Given: [tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

We need to completely isolate [tex]b_{1}[/tex] to solve.

[tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

[tex]A=(\frac{1}{2}b_{1} +\frac{1}{2} b_{2})h[/tex]

[tex]A=\frac{1}{2}b_{1} h+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h+A=\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h=-A+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}=\frac{-A}{h}+\frac{1}{2}b_{2}[/tex]

Finally, multiply both sides by -2 to completely isolate [tex]b_{1}[/tex].

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Answer:

The right option is D

Step-by-step explanation:

See the image

Use formula I=prt to solve:

Steve borrowed 450$ for 3 years the yearly interest rate was 13%. How much interest did he owe at the end of 3 years?

Answers

Answer: $175.50

Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.

I = PRT

I = 450 x .13 x 3

Now to solve for it:

I = $175.50

simplify 4x2 + 8x - 11x + 6 - 5x2 + 2​

Answers

Answer:

[tex]\boxed{\bold{-5x+8}}[/tex]

Step-by-step explanation:

Combine Similar Elements: [tex]\bold{8x-11x=-3x}[/tex]

[tex]\bold{4\cdot \:2x-3x+6-5\cdot \:2x+2}[/tex]

Multiply: [tex]\bold{4\cdot \:2=8}[/tex]

[tex]\bold{8x-3x+6-10x+2}[/tex]

Group Like Terms

[tex]\bold{8x-3x-10x+6+2}[/tex]

Combine Similar Elements: [tex]\bold{8x-3x-10x=-5x}[/tex]

[tex]\bold{-5x+6+2}[/tex]

Add Numbers: [tex]\bold{6+2=8}[/tex]

[tex]\bold{-5x+8}[/tex]

To simplify the expression, combine like terms resulting in -1[tex]x^2[/tex] - 8x + 8.

To simplify the given algebraic expression, we need to combine like terms. The terms in the expression are: 4[tex]x^2[/tex], 8x, -11x, 6, -5[tex]x^2[/tex], and 2. Combining the [tex]x^2[/tex] terms and the x terms separately, we get:

[tex]4x^2 - 5x^2 = -1x^2[/tex]

8x - 11x - 5x = -8x

Finally, we add the constant terms: 6 + 2 = 8.

Putting it all together, the simplified version of the expression is: -1[tex]x^2[/tex] - 8x + 8.

What are the coordinates of the midpoint of the segment whose endpoint are P(-6, 3) and Q(9, -11)

A. (-3, -2)
B. (-1.5, -1)
C. (1.5, -4)
D. (3, -8)

Answers

Answer:

[tex]\large\boxed{C.\ (1.5,\ -4)}[/tex]

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

[tex]M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points P(-6, 3) and Q(9, -11).

Substitute:

[tex]M_{PQ}(x,\ y)\\\\x=\dfrac{-6+9}{2}=\dfrac{3}{2}=1.5\\\\y=\dfrac{3+(-11)}{2}=\dfrac{-8}{2}=-4[/tex]

Answer:

(-1.5, -1)

Step-by-step explanation:

Add polynomial expressions

Answers

[tex]12 {g}^{2} + 4g - 1[/tex]

Answer:

[tex]12g^2 + 4g - 1[/tex]

Step-by-step explanation:

Hello!

We can add the two polynomials vertically.

Add[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}[/tex]

[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}\\12g^2 + 4g - 1[/tex]

The simplified form is  [tex]12g^2 + 4g - 1[/tex].

A standard coffee mug has a capacity of 16 fluid ounces. If Anni needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?

Answers

13 quarts of coffee

Answer:

13 quarts

Step-by-step explanation:

1 quart = 32 ounces

mug = 16 ounces = 1/2 quart

26 * 1/2 = 13

After a party, there are 3 3/4pizzas left over. If they need to be split among 6 people, how much pizza will each person take home?

Answers

Answer:

5/8 of a pizza

Step-by-step explanation:

a school club needs 350 feet of rope for a project. they have the amounts of rope listed below.
4 pieces of rope that are each 14 yards in length
1 piece of rope that is 10.5 yards in length
1 piece of rope that is 101.25 feet in length. how much additional rope , in feet, does the school club need in order to have enough rope for their project?

Answers

Answer:

They need 57.5 more feet of rope

Step-by-step explanation:

Add all the lengths of rope together in feet ( so convert the yards to feet; 1 yd=   3 ft) and then subtract that number from 350!

Hope this helped! <3  

I think this is correct

Answer:

The school club needs additional 49.25 feet of rope.

Step-by-step explanation:

Total length of rope needed = 350 feet

Available lengths are :

4 pieces of rope that are each 14 yards in length. Total length = [tex]4\times14=56[/tex] yards

1 piece of rope that is 10.5 yards in length.

Total yards = [tex]56+10.5=66.5[/tex] yards

Now converting yards to feet as the final answer will be in feet.

1 yard = 3 feet

So, 66.5 yards = [tex]3\times66.5=199.5[/tex] feet

1 piece of rope that is 101.25 feet in length.

Total rope in feet = [tex]199.5+101.25=300.75[/tex] feet

As 350 feet of rope is needed, the club needs more rope of 350-[tex]300.75=49.25[/tex] feet

Therefore, the school club needs additional 49.25 feet of rope.

I how do we simplify-3(4x - 5y + 6) + 8x - 9

Answers

Step-by-step explanation:

By using the distributive formula, you can solve this:

-a(b - c + d) = -ab + ac - ad

-3(4x - 5y + 6) + 8x - 9

Use distributive property:

-12x + 15y - 18 + 8x - 9

Add/Subtract by the common terms:

-12x + 8x = -4x

-18 - 9 = - 27

Plug it back into an equation:

= -4x + 15y - 27

That is your answer!!

Hope that helped

~A̷l̷i̷s̷h̷e̷a̷♡

Answer:

-4x + 15y - 27

Step-by-step explanation:

-3 (4x -5y + 6) = -3*4x, -3* -5y and -3*6

-3*4x= -12x

-3*-5y= 15y

-3*6= -18

-12x + 15y -18 +8x - 9

Combine like terms (-12x + 8x) and (-18 - 9)

12-8 = 4 and 18+9 = 27 now flip the signs, add the variables back on (the letters) and carry down what was remaining (15y)

-4x + 15y -27

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.

Answers

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2 , the value of x is 4

Given

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2

we need to write the given expression in equation

Twelve divided by the sum of x and 2 is written as  [tex]\frac{12}{x+2}[/tex]

quotient of 4 and difference of x  and 2 can be written as

[tex]\frac{4}{x-2}[/tex]

Now make them equal and solve for x

[tex]\frac{12}{x+2} =\frac{4}{x-2} \\12\left(x-2\right)=\left(x+2\right)\cdot \:4\\12x-24=4x+8\\12x=4x+32\\8x=32\\x=4[/tex]

So the value of x is 4

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Final answer:

To solve the given equation 12 / (x + 2) = 4 / (x - 2), we cross multiply, simplify and solve for x, the solution is x=4.

Explanation:

The equation given in this problem translates to the following algebraic equation: 12 / (x + 2) = 4 / (x - 2)

To solve for x, we first cross multiply to remove fractions: 12 * (x - 2) = 4 * (x + 2) which simplifies to 12x - 24 = 4x + 8

Then, subtract 4x from both sides: 8x - 24 = 8 and finally add 24 to both sides: 8x = 32. Therefore, solving for x by dividing both sides with 8, we get x = 4.

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7.
Cirrus clouds form more than 6,000 meters above Earth. Write an inequality to represent H, the height, in
meters, of cirrus clouds.
Enter your answer in the space provided. Enter only your inequality

Answers

Answer:

h > 6000

Step-by-step explanation:

Let h be the height of the Cirrus clouds in the inequality.

h > 6000

This states that  h  is greater than  6000

Point O is the center of the circle. What is the value of X?
Answer options: 64, 54, 34, 44.

Answers

Answer:

34°

Step-by-step explanation:

The angle made when a tangent and a radius intersect=90°

Therefore angle OQP =90°

The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)

=56°

The right triangle  OPQ can hence be solved as follows

angle POQ=56°

angle OQP=90°

angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

In order for the line to be parallel it has to be the same slope. So basically you want to put the equation in slope intercept form Y=Mx+b. Do isolate the Y.

Answer

y-4=2/3(x-3)

y-4=2/3x-2

+4. +4

y=2/3x+2

Answer:

y + 2 = (2/3)(x - 1)

Step-by-step explanation:

Two lines with the same slope are parallel; if two lines are parallel, they have the same slope.

Starting with the standard point-slope formula for the straight line,

y - k = m (x - h), where (h, k) is the given point, we get:

y -[-2] = (2/3)( x - 1), or

y + 2 = (2/3)(x - 1) This is the desired equation of the parallel line.

From the years 1988 through 1996 Steffi Graf won the annual U.S open tennis championships five times and Wimbledon seven times what percent or both tournaments combined during those 9 years was Steffi Graf the women’s champion?

Answers

Answer:

66.67%

Step-by-step explanation:

If there is 1 US open tennis championship and 1 Wimbledon per year, there are a total of 9 US open and 9 wimbledon from 1988 to 1998. So in total there are 18 championships.

Steffi Graf won 5 US open and 7 Wimbledons = 12

Essentially we want to know, 12 is what percent of 18? We can solve this by:

[tex]\frac{12}{18}*100=66.67[/tex]

Hence, 66.67% won

Which of the following pairs of lines are perpendicular? Select all that apply.

A. y=2/3x+4 and y=2/3x-8
B. y=2/3x-8 and y=-3/2x-8
C. y=x+2 and y=-x+3
D. y=3x+2 and y=3x-2
E. y=3 and y=4
F. y=4/5x-8 and y=-5/4x+3

Answers

B, C, & F The slopes are opposite reciprocals of one another

Final answer:

Pairs B (y=2/3x-8 and y=-3/2x-8) and F (y=4/5x-8 and y=-5/4x+3) are the only ones with perpendicular lines, as their slopes multiply out to -1.

Explanation:

Lines are perpendicular if the product of their slopes is -1. The slopes (m) are derived from lines in the format y=mx+b.

A. y=2/3x+4 and y=2/3x-8 are not perpendicular; they have the same slope, meaning they're parallel.B. y=2/3x-8 and y=-3/2x-8 are perpendicular; the product of their slopes (2/3 * -3/2) equals -1.C. y=x+2 and y=-x+3 are perpendicular; the slopes are 1 and -1, and their product is -1.D. y=3x+2 and y=3x-2 are not perpendicular; like A, they are parallel.E. y=3 and y=4 are not lines with slopes but horizontal lines, hence not perpendicular.F. y=4/5x-8 and y=-5/4x+3 are also perpendicular; their slopes multiply to -1 (4/5 * -5/4).

Thus, the pairs B and F are the only ones that are perpendicular to each other.

Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x - 4, y + 4) A) J'(1, 0), N'(5, 0), M'(5, 3), P'(2, 5) B) J'(-2, 5), N'(2, 5), M'(2, 2), P'(-1, 0) C) J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1) D) J'(-1, 0), N'(-5, 0), M'(-5, -3), P'(-2, -5)

Answers

Answer:

C) J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1)

Step-by-step explanation:

The rule (x, y)→(x - 4, y + 4), means to translate the figure four points to the left and four points up. If we apply this rule to each vertex of the figure, the resulting coordinates are J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1).

Which diagram shows ∠1 and ∠2 as vertical angles? A) B) C) D)

Answers

Answer:the answer is c

Step-by-step explanation:

this question was on usatestprep and i got it wrong with the answer b that was given.

The correct diagram that shows ∠1 and ∠2 as vertical angles is Option C.

What is vertical angles?

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures.

If we consider the diagram given, option C shows two intersecting line, ∠1 and ∠2 are opposite angles formed by the intersecting lines, so they are vertical angles.

∠1 = ∠2 (because they are vertically opposite angles)

Thus, the correct diagram that shows ∠1 and ∠2 as vertical angles is option C.

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The missing diagram is in the image attached

Two positive numbers have a sum of 8 and their product is equal to the larger number plus 10

Answers

Answer:

There are 2 sets of numbers that work...

x = 3, y = 5

and

x = 6, y = 2

Step-by-step explanation:

Let x be one number, and let y be the other number.  We have 2 equations...

x + y = 8    (two positive numbers have a sum of 8)

xy = y + 10   (their product is equal to the larger number plus 10)

solve the first equation for y, and substitute that into the second equation...

y = 8 - x

  x(8 - x) = 8 - x + 10

now solve for x...

  8x - x² = 18 - x  

This is a quadratic, so get everything to one side so it's equal to zero...

   -x² + 9x - 18 = 0   (add x and subtract 18 from both sides)

Now solve for x...

     x² - 9x + 18 = 0    (divide both sides by -1)

         (x - 6)(x - 3) = 0    (factor)

so

x - 6 =  0  becomes   x = 6    (add 6 to both sides)

and

x - 3 = 0  becomes x = 3      (add 3 to both sides

If x is 3, then y = 5     (3 + 5 is 8, and 3(5) = 5 + 10, both equations hold up)

If x is 6, then y = 2    (6 + 2 is 8, and 6(2) = 2 + 10, both equation hold up)

   

Whats the area of 7.5 and 5.3

Answers

They area of 7.5 and 5.3 is 39.75
Final answer:

To find the area of a rectangle, you multiply the length by the width. In this case, the area is calculated as 7.5 (length) multiplied by 5.3 (width) equaling 39.75 square units.

Explanation:

The question you asked refers to calculating the area of a rectangle. The formula to calculate the area of a rectangle is length times width. Given the numbers 7.5 and 5.3, we can assume these are the measurements for length and width, respectively.

To calculate the area, multiply the length (7.5) by the width (5.3). The calculation would be as follows: 7.5 * 5.3 = 39.75.

Therefore, the area of the rectangle is 39.75 square units.

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List 3 key words that refer to addition

Answers

SUM, Addition and Atogether

Step-by-step explanation: When solving word problems, it's helpful to use keywords. Keywords tell us when to use addition, subtraction, or estimation. However, we will be only focusing on the keywords for addition.

For addition, some common keywords are altogether, total, and in all.

For example, if the problem asks for the total cost or how many people altogether, then we will probably use addition.

Help!! Please please answer quickly and in the next 9 hours!

Solve these questions.

Answers

Answer:

Please refer to step-by-step.

Step-by-step explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

To find the x-intercept, we need to equate the value of y to 0.

-2x - 0 = -5

[tex]\dfrac{-2x}{-2}=\dfrac{-5}{-2}[/tex]

[tex]x=2.5[/tex]

To find the y-intercept, we need to equate the value of x to 0.

-2(0) - y = -5

Now since we cannot have a negative value, we need to divide both sides by -1.

[tex]\dfrac{-y}{-1}=\dfrac{-5}{-1}[/tex]

[tex]y=5[/tex]

To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

-y = 2x - 5

Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

6x + 3(0) = -9

[tex]\dfrac{6x}{6}=\dfrac{-9}{6}[/tex]

[tex]x=1.5[/tex]

Now we solve for the y-intercept.

6x + 3y = -9

6(0) + 3y = -9

[tex]\dfrac{3y}{3}=\dfrac{-9}{3}[/tex]

[tex]y = -3[/tex]

Now for the slope.

3y = -6x - 9

Now we need to divide all our variables by 3 to get y.

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}-\dfrac{9}{3}[/tex]

[tex]y=-2x-3[/tex]

17. x - y = 4

Let's start with the x-intercept.

x - y = 4

x - 0 = 4

[tex]x=4[/tex]

Now we solve for the y-intercept.

x - y = 4

0 - y = 4

-y=4

[tex]\dfrac{-y}{-1}=\dfrac{4}{-1}[/tex]

[tex]y = -4[/tex]

Now for the slope.

x - y = 4

-y = -x + 4

We need to divide all our variables by -1 to get y.

[tex]\dfrac{-y}{-1}=\dfrac{-x}{-1}+\dfrac{4}{-1}[/tex]

[tex]y=x-4[/tex]

18. 3x + 4y = 12

Let's start with the x-intercept.

3x + 4y = 12

3x + 4(0) = 12

[tex]\dfrac{3x}{3}=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Now we solve for the y-intercept.

3x + 4y = 12

3(0) + 4y = 12

[tex]\dfrac{4y}{4}=\dfrac{12}{4}[/tex]

[tex]y = 3[/tex]

Now for the slope.

3x + 4y = 12

4y = -3x + 12

[tex]\dfrac{4y}{4}=-\dfrac{3x}{4}+\dfrac{12}{4}[/tex]

[tex]y=-\dfrac{3x}{4}+3[/tex]

19. -7x + 2y = -16

Let's start with the x-intercept.

-7x + 2y = -16

-7x + 2(0) = -16

[tex]\dfrac{-7x}{-7}=\dfrac{-16}{-7}[/tex]

[tex]x=-2\dfrac{2}{7}[/tex]

Now we solve for the y-intercept.

-7x + 2y = -16

-7(0) + 2y = -16

[tex]\dfrac{2y}{2}=\dfrac{-16}{2}[/tex]

[tex]y=-8[/tex]

Now for the slope.

-7x + 2y = -16

2y = -7x - 16

[tex]\dfrac{2y}{2}=-\dfrac{7x}{2}-\dfrac{16}{2}[/tex]

[tex]y=-\dfrac{7x}{2}-8[/tex]

20. x - 5y = 55

Let's start with the x-intercept.

x - 5y = 55

x - 5(0) = 55

x = 55

Now we solve for the y-intercept.

x - 5y = 55

0 - 5y = 55

[tex]\dfrac{-5y}{-5}=\dfrac{55}{-5}[/tex]

[tex]y=-11[/tex]

Now for the slope.

x - 5y = 55

-5y = x + 55

[tex]\dfrac{-5y}{-5}=-\dfrac{x}{-5}+\dfrac{55}{-5}[/tex]

[tex]y=-\dfrac{x}{5}-11[/tex]

Consider the following division of polynomials. x^24+x^3+7x^2-6x+8 divide by x^2+2x+8 A) Use long division to determine the quotient of the polynomials. Show all of your work for full credit. B) Use mathematical methods to prove your answer. Show all of your work for full credit.

Answers

Answer:

 x²  -x + 1   Quotient

Step-by-step explanation:

Given in the question,

the numerator = x^4 + x³ + 7x² - 6x + 8

the denominator = x² + 2x + 8

Polynomial Long Division

Dividing :

x^4+x^3+7x^2-6x+8  ("Dividend")

By :

 x2+2x+8    ("Divisor")

                                                                 x²  -x + 1                      Quotient

                                                            -------------------------------

dividend          x² + 2x + 8     | x^4 +   x^3 +  7x² -6x + 8

divisor  *x²                                  x^4 + 2x^3 + 8x²

       

remainder                                                 -x³   - x²   -6x + 8

divisor  * -x1                                              -x³  -2x² . -8x  

 

remainder                                                           x²   +2x   +8

divisor  *1                                                            x²   +2x   +8

remainder                                                                          0

B)

(x²  -x + 1)   (x² + 2x + 8)    

= x^4 +   x^3 +  7x² -6x + 8

hence proved 

52.08 ÷ 3 =
A) 16.18
B) 16.36
C) 17.18
D) 17.36

Answers

Hey there!

52.08 ÷ 3 = 17.36

The correct answer is D

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

What is the solution to the above system of equations?

2x+5y=-4
4x-5y=22

A. (3,-2)
B. (13/3, -24/3)
C. (-2,3)
D. (3,2/5)

Answers

Answer:   A. (3,-2)

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    4x = 5y + 22

 [2]    x = 5y/4 + 11/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/4+11/2) + 5y = -4

  [1]    15y/2 = -15

  [1]    15y = -30

// Solve equation [1] for the variable  y  

  [1]    15y = - 30  

  [1]   y = - 2  

// By now we know this much :

   x = 5y/4+11/2

   y = -2

// Use the  y  value to solve for  x  

   x = (5/4)(-2)+11/2 = 3  

Solution :

{x,y} = {3,-2}  

4.8 Linear Systems UT - P1

For Those of You With 10 Questions and Are on the Same Topic!

____________________________________________________

1. What is the apparent solution to the system of equations graphed above?

A) [tex](-2,2)[/tex]

_______________________________________________________

2. A jet ski company charges a flat fee of $26.00 plus $3.25 per hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski. Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

B) [tex]8[/tex]

_______________________________________________________

3. Which graph best represents the solution to the following system?

[tex]\left \{ {{-3x+y < 1} \atop {-x+y\leq 2}} \right.[/tex]

Graph B

_______________________________________________________

4. A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

D) [tex]\left \{ {{x+y=12} \atop {21.50x+14.75y=204}} \right.[/tex]

_____________________________________________________

5. Which graph best represents the feasibility region for the system shown above?

[tex]\left \{ {{y\geq 2;x\leq 6} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

Graph A

____________________________________________________

6. (Graph Shown in Question) [tex]\left \{ {{x\leq 8;y\geq 0} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

What is the minimum value for P = x - 2y over the feasibility region defined by the constraints shown above?

D) [tex]-14[/tex]

_______________________________________________________

7. A candy store makes a 13-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $1.00 per pound, jelly beans cost $2.00 per pound, and hard candy costs $2.00 per pound. The mixture calls for three times as many gummy candy pieces as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?

C) 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy

______________________________________________________

8. How many solutions does the following system have?

[tex]\left \{ {{2x+3y=1} \atop {-3x-2y=-1}} \right.[/tex]

C) One Solution

______________________________________________________

9. Which linear system of equations does the matrix represent?

[-3  5 | 15 ]

[ 2  3 | -10]

C) [tex]\left \{ {{-3x+5y=15} \atop {2x+3y=-10}} \right.[/tex]

______________________________________________________

10. What is the solution to the above system of equations?

[tex]\left \{ {{2x+3y=-4} \atop {4x-5y=22}} \right.[/tex]

A) [tex](3,-2)[/tex]

______________________________________________________

Should be 10/10. Also, good luck on Part 2 guys!

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