What is an equation that passes through the points (3,8) and (1,0)

Answer:

Step-by-step explanation:

The only possible simplification of the slope -5/1 is -5.

Answer:

Investor invested $7,800 at 8% and $6,200 at 6.5%

Step-by-step explanation:

Use formula

[tex]I=P\cdot r\cdot t,[/tex]

where

I = interest

P = principal

r = rate (as decimal)

t = time

First investment:

[tex]P_1=x\\ \\r_1=0.08\\ \\t_1=1[/tex]

then

[tex]I_1=x\cdot 0.08\cdot 1\\ \\I_1=0.08x[/tex]

Second investment:

[tex]P_2=14,000-x\\ \\r_2=0.065\\ \\t_2=1[/tex]

then

[tex]I_2=(14,000-x)\cdot 0.065\cdot 1\\ \\I_2=0.065(14,000-x)[/tex]

The amount of interest earned for 1 year was $1,027, then

[tex]I_1+I_2=1,027\\ \\0.08x+0.065(14,000-x)=1,027\\ \\0.08x+910-0.065x=1,027\\ \\0.08x-0.065x=1,027-910\\ \\0.015x=117\\ \\x=7,800\\ \\14,000-x=6,200[/tex]

Investor invested $7,800 at 8% and $6,200 at 6.5%

Answer: 1190

None of these answer choices are correct I showed my work on paper.

Answer:

it seems that you meant to use fractions. as a K12 student the answer is 9/20. Hope that helps!

Answer:

b=4

Step-by-step explanation:

6b+2=2b+18 add and subtract like terms

-2b. -2b

4b+2=18

-2. -2

4b=16

----- ----- divide

4. 4

b= 4

Answer: b = +4

Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

So first, let's put our variables together on the left side by subtracting 2b from both sides of the equation. That gives us 4b + 2 = 18.

Now we can move our numbers to the right by subtracting 2 from both sides and we get 4b = 16.

Divide both sides by 4 and b = +4.

Answer:

To solve this equation your goal is to get x by itself

First we need to distribute the 3 through the (2x-7)

x-6x+21=76 (-3*2x=-6x, -7*-3=21)

Your next step is to combine like terms

-5x+21=76 (x-6x=-5x)

Next subtract 21 from both sides

-5x=55 (21-21=0, 76-21=55)

Last you need to divide both sides by -5

x=-11 (-5/-5=1, 55/-5=-11)

x=-11

Hope this helps ;)

The solution to the given equation x - 3(2x - 7) = 76 is x = -11.

The equation is given as follows:

x - 3(2x - 7) = 76

First, distribute the 3 to the terms inside the parentheses:

x - 6x + 21 = 76

Combine like terms:

-5x + 21 = 76

Subtract 21 from both sides:

-5x = 76 - 21

-5x = 55

Divide both sides by -5 to solve for x:

x = 55 / -5

x = -11

Therefore, the solution to the given equation x - 3(2x - 7) = 76 is x = -11.

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The complete question is as follows:

Solve the below equation.

x - 3(2x - 7) = 76

Answer:

-$336.00

Step-by-step explanation:

-$248.00+-$73.00+-$15.00=-$336.00

Answer:

[tex]\large \boxed{6x^{3} - 4x^{2} - 8x -16}[/tex]

Step-by-step explanation:

(3x² + 4x + 4)(2x - 4)

The easiest method is probably to use long multiplication.

3x²  + 4x   + 4

2x   -  4            

6x³ +  8x² +  8x

      - 12x² - 16x - 16

6x³ -  4x² -   8x -16

[tex]\text{The product of the polynomials is $\large \boxed{\mathbf{6x^{3} - 4x^{2} - 8x -16}}$}[/tex]

Answer:

6x3 – 4x2 – 8x – 16

Step-by-step explanation:

Final answer:

The greatest common factor of 75 and 20 is 5, and by applying the distributive property, the expression 75+20 can be factored as 5(19).

Explanation:

The greatest common factor (GCD) of 75 and 20 is 5. Applying the distributive property to factor out 5, we get:

75 + 20 = 5 × (15 + 4)

Here's the breakdown:

Find the GCD: The largest factor that divides both 75 and 20 is 5.

Divide each term by the GCD: Divide 75 by 5 to get 15 and divide 20 by 5 to get 4.

Rewrite with the GCD factored out: Combine the results from step 2 and multiply by the GCD: 5 × (15 + 4).

Therefore, the factored expression using the distributive property is 5 × (15 + 4).

Thus, the factored form of the expression 75+20 is 5(19).

Answer:

5 feet long

Plz give brainliest

Answer:

y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.

Step-by-step explanation:

The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.

Now, only a system of parallel straight lines has no solution.

And the parallel straight lines have an equal slope and different y-intercept.

Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.

And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.

So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)

Answer:

B: y=5(x+2)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

0.8 is equal to 80%

you need to figure out 80% of 15

100% = 15

10% = 1.5

(x8)

80% = 12

you would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one

Answer:

Sample answer: The number of squares that are shaded divided by 15 must equal 0.8, so the number of squares must be 0.8(15), which equals 12. The fraction 12/15 reduces to 4/5 which is equal to 8/10.

Step-by-step explanation:

The sample answer on edge

Answer:

Step-by-step explanation:

6x + 4y = 2                              3x + 2y = 1

4y = -6x + 2                             2y = -3x + 1

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

same line, infinite solutions.....Consistent and dependent

Answer:

Consistent and dependent

Step-by-step explanation:

Option B

The number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

[tex]1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }[/tex]

To find: Number of light years in [tex]6.79 \times 10^{16}[/tex] miles

Let "x" be the number of light years in [tex]6.79 \times 10^{16}[/tex] miles

Then number of light years in [tex]6.79 \times 10^{16}[/tex] miles can be found by dividing [tex]6.79 \times 10^{16}[/tex] miles by miles in 1 light year

[tex]\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508[/tex]

Thus number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years

Answer:

The equation of the required line in the slope-intercept form is

y = -3x + 10

Step-by-step explanation:

i) the required line passes through the point (5, -5)

ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2

  Therefore the slope of the given line is -3.

  Therefore the slope of the required line is also -3

  The equation of the required line in the slope-intercept form is

  y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15    ⇒      y = -3x + 10   ∴ 3x + y = 10.

A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6  no matter what she got on the previous roll.

Step-by-step explanation:

Lets define probability first

"Probability is the likeliness of occurrence of an event"

When we call a die fair, that means that each number on the die has an equal chance of occurrence when rolled.

If on 7 rolls, the outcomes were 7 each time, this doesn't mean that the chances of rolling a specific number on a fair die is changed. On the next roll, 3 will have the same probability as before that is 1/6

So,

The correct answer is:

A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6  no matter what she got on the previous roll.

Keywords: Probability, die roll

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Answer:

by definition

The coordinates of point A are:

(cosθ , sinθ)

Answer:

7

Explanation:

(3)(3)+(4)(2) − 10

(3)(3)

= 9

(4)(2)

= 8

9 + 8 = 17

17 - 10 = 7

Answer:

7

Step-by-step explanation:

3(3)+4(2)-10

9+8-10

17-10

7

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

Answer:

54

Step-by-step explanation:

4.5x=3(x+27)

4.5x=3x+81

1.5x=81

x=54

Answer:

Step-by-step explanation:

17/333 11/120 7/99 4/52 3/50

Answer:

The hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be [tex]x.[/tex]

And the hotel charge in second city before tax be [tex]y.[/tex]

So, as the hotel charge of the second city was 1500 higher than the first.

Thus,

[tex]y=x-1500[/tex]   ........(1)

And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.

6% of [tex]x[/tex] + 10% of [tex]y[/tex] = $670.

[tex]\frac{6x}{100} +\frac{10y}{100} =670[/tex]

[tex]0.06x+0.10y=670[/tex]

Substituting the value of [tex]y[/tex] from equation (1) we get:

[tex]0.06x+0.10(x-1500)=670[/tex]

[tex]0.06x+0.10x-150=670[/tex]

[tex]0.16x-150=670[/tex]

Adding both sides by 150 we get:

[tex]0.16x=820[/tex]

Dividing both sides by 0.16 we get:

[tex]x=5125.[/tex]

The hotel charge in first city before tax = $5125.

Now, substituting the value of [tex]x[/tex] in equation (1) we get:

[tex]y=x-1500[/tex]

[tex]y=5125-1500[/tex]

[tex]y=3625.[/tex]

The hotel charge in second city before tax = $3625.

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

The radius of circle is 12 inches

Solution:

Given that,

Consider circle c with angle [tex]\frac{3 \pi }{4} \text{ radians }[/tex]

Minor arc AB measures [tex]9 \pi[/tex] inches

Therefore, we can say,

[tex]Central\ angle\ in\ radians = \frac{3 \pi }{4}\\\\Arc\ length = 9 \pi[/tex]

To find: Radius of circle

The length of arc when angle given in radians is:

[tex]s = r \times \theta[/tex]

Where,

"s" is the arc length and "r" is the radius and [tex]\theta[/tex] is the central angle in radians

[tex]9 \pi = r \times \frac{3 \pi }{4}\\\\r = 9 \times \frac{4}{3}\\\\r = 12[/tex]

Thus the radius of circle is 12 inches

Answer:

B.) 12 inches

Step-by-step explanation:

To simplify this improper fraction we can turn it into a mixed number. The fact that the denominator is 2 and the numerator isn't divisible by 2 shows that it can't simplified any further as a improper fraction.

23/2 = 11 1/2

Best of Luck!

Answer:

x = (32y - 3)/6

Step-by-step explanation:

1. Multiply both sides of equation by 2y

6x + 3 = 32y

2. Isolate 6x

6x = 32y - 3

3. Isolate x

x = (32y - 3)/6

Answer:

see explanation

Step-by-step explanation:

Given

6x + [tex]\frac{3}{2}[/tex] y = 16

Multiply through by 2 to clear the fraction

12x + 3y = 32 ( subtract 12x from both sides )

3y = 32 - 12x ( divide both sides by 3 )

y = [tex]\frac{32-12x}{3}[/tex]

Answer:

The change in her speed is 7 m/s - 4 m/s = 3 m/s.

Step-by-step explanation:

Speed is defined as the rate of change of distance with time.

i) Let the total distance of the cross country be x meters.

ii) The change in her speed is 7 m/s - 4 m/s = 3 m/s.

Answer:

Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:

31 = x

Step-by-step explanation:

Let's analyze the equation written by Mikala:

x + 9 = 40

x = 40 - 9

x = 31

Now, let's solve for x the equation written by Kirk:

40 - x = 9

- x = 9 - 40

- x = -31

x = 31

Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:

40 - 9 = x

31 = x

The percent of the market will teddy bears occupy in November is 28.47%.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Form a table as shown

Months         Teddy Bears    Rabbits     Cats    Horses    Others    Totals toys

September      225                275           245      260          199        1204

October           346                 308           186      297          285       1422

November       467                 341            127       334          371         1640

So, the percent of the market will teddy bears occupy in November

= 467 / 1640 x 100

= 0.2847 x 100

= 28.47%

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Answer: A. -14

Step-by-step explanation:

Answer: A. -14

Step-by-step explanation: Use PEMDAS

(5+4-2) x (-2)

= (9-2) x (-2)

= 7 x (-2)

= -14

Answer:

y + 3 = (-5/2)(x - 2)

Step-by-step explanation:

First look at y =5x + 2.  It's immediately apparent that the y-intercept is 2, or (0, 2).  (0, 2) must then be a point on the new line, and we are told that (2, -3) is also on this new line.

The general point-slope equation is y - k = m(x - h).

We need to determine the slope of the new line.

Let h = 2, k = -3, x = 0 and y = 2.  Then:

2 + 3 = m(0 - 2).  Therefore, -2m = 5, and m = -5/2.

Then the equation of the new line, in point-slope form, is

y + 3 = (-5/2)(x - 2)

Let's check this result.  Do the coordinates of the y-intercept, (0, 2) satisfy this equation?

Is 2 + 3 = (-5/2)(0 - 2) true?

Is 5       = (-5/2)(-2) true?  YES

The equation of line is 2y = -5x+ 4.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows

m = Δy/Δx

where, m is the slope

In the coordinate plane, it describes the slope of the line.

Given:

passes through the point (2,-3) and has the same y intercept as y =5×+2

The, the intercept for the required line is 2.

Now, using y= mx+b

-3 = m(2) + 2

2m = -5

m= -5/2

Now, the equation of line passes through (2, -3)

y - y1 = m(x- x1)

y + 3= -5/2( x-2)

2y + 6= -5x+ 10

2y = -5x+ 4

Hence, the equation of line is 2y = -5x+ 4.

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