What is the y-intercept when a line has a slope of 3 and passes through
the point (2, 7)?

Answer: x=−4y+10

Step-by-step explanation:

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

Answer:

[tex]x = 4[/tex]

[tex]4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16[/tex]

Step-by-step explanation:

x4

\begin{gathered}4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\end{gathered}

4+12=16

6×4−8=16

4×4=16

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

Answer:

The answer is that the relation is not a function. because there are two x-values corresponding to multiple y-values

Step-by-step explanation:

Here we want to explain why the given set of points do not represent a function

For a function, we can have same y value for different x value

But, we cannot have same x value for different y value

The sets of point given however has 2 y-values having same x value and as such the points cannot form a function (1,4) and (1,-3)

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

Answer:

3 points on the line - (.5,3) (1,2) (1.5,1)

Step-by-step explanation:

y = -2x + 4      (1.5,1)

1 = -2x + 4    subtract 4 from each side

-3 = -2x        divide each side by -2

1.5 = x

y = -2x + 4      (1,2)

2 = -2x + 4    subtract 4 from each side

-2 = -2x        divide each side by -2

1 = x

y = -2x + 4      (.5,3)

3 = -2x + 4    subtract 4 from each side

-1 = -2x        divide each side by -2

.5 = x

Answer:

(1,2) (2,0) (3,-2)

Step-by-step explanation:

What I did to get those is plug in the numbers 1, 2, and 3 as values of X.

-2(1)+4

that gave me 2 as the Y value and now we have the coordinate (1,2).

-2(2)+4

that gave me 0 as the Y value and now we have the coordinate (2,0).

-2(3)+4

that gave me -2 as the Y value and now we have the coordinate (3,-2).

hope this helps.

Answer:

B. [tex] y = 160x + 2400 [/tex]

Step-by-step explanation:

The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]

Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].

Thus, the linear equation in slope-intercept form would be:

✅[tex] y = 160x + 2400 [/tex]

Answer:

I am not smart at math, but I wanted to try to help you.

Step-by-step explanation:

Answer:

The slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Given the equation

[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]

comparing it with the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 3/2

The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]

[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]

writing the line equation in the slope-intercept form

[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]

[tex]y=\frac{3}{2}x+1[/tex]

Thus, the slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Here,

As the slope-intercept form is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so

[tex]y=\frac{3}{2}x+1[/tex]

m=3/2

b = y-intercept = 1

Therefore, the slope-intercept equation is:

[tex]y=\frac{3}{2}x+1[/tex]

Answer:

The answer to this question is A

Step-by-step explanation:

Answer: 400,000 gallons

Step-by-step explanation: First find the per minute is 4000 next multiply by 100 minutes and it is 400,000

Answer:

b 5ft

Step-by-step explanation:

Answer:

x=10 and y=−9

Step-by-step explanation:

Answer:

(x,y) = (10,-9)

Step-by-step explanation:

x=-3y-17

2x+3y=-7

2(-3y-17)+3y=-7

y=-9

x=-3(-9)-17

x=10

Answer:

110

Step-by-step explanation:

Answer: and 10. 110. Plus chloe savage

Step-by-step explanation:

Answer:

[tex]m=4473-55h[/tex]

Step-by-step explanation:

Step one

Given data

speed= 55 miles per hour

time taken = 2 hours

Hence the distance covered is

from v=d/t

distance= velocity * time

distance= 55*2

distance= 110 miles

this means that the initial reading of the odometer is

=4583-110

=4473 miles

after h hours the distance covered will be

distance = 55*h

distance= 55h

the reading of the odometer m is

m= initial reading-distance

Hence the reading of the odometer m is expressed as

[tex]m=4473-55h[/tex]

Answer:

Correct

m=55h+4473

Step-by-step explanation:

i got it right :-)

Answer:

the given are not correct the real answer is 15/29 or 0.517...

Step-by-step explanation:

7-58z = -23

-58z = -23 -7

-58z =-30 the negatives will cancel each other out

-58. -58

z = 30/58 divide both by 2

z= 15/29 which can also be equal to 0.517...

Answer:

22

Step-by-step explanation:

1. Divide $15 by 6 first to get the unit price per bottle.

$15/6= $2.50

2. Now divide the new dollar amount by the unit price.

$55.00/2.50 = 22

Answer:

696 39/100

Step-by-step explanation:

Answer:

-1.5-21x

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

slope =rise /run = -1/3

from left to right your line goes down so the slope is negative

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

To find the slope, you need to find the rise (y-direction) over the run              (x-direction). The rise is 1, and the run -3. Put them in a fraction to get [tex]-\frac{1}{3}[/tex].

Hope this helps! :)

Answer:

∠one  and ∠seven

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

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

Work Shown:

q = (-4, 1) is one vector

r = (a,3) is another vector

The resultant vector is

q+r = (-4,1)+(a,3)

q+r = (-4+a,1+3)

q+r = (-4+a,4)

Multiply both sides by 7

7(q+r) = 7*(-4+a,4)

7(q+r) = (7*(-4+a),7*4)

7(q+r) = (-28+7a, 28)

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

Since 7(q+r) = (-35, 28), we know that,

(-28+7a, 28) =  (-35, 28)

which leads to

-28 + 7a = -35

when we equate the x components of each vector. Let's solve for 'a'

-28 + 7a = -35

7a = -35+28

7a = -7

a = -7/7

a = -1

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

Check:

q = (-4,1)

r = (a,3) = (-1,3)

q+r = (-4,1)+(-1,3)

q+r = (-4+(-1), 1+3)

q+r = (-5, 4)

7*(q+r) = 7*(-5, 4)

7*(q+r) = (7*(-5), 7*4)

7*(q+r) = (-35, 28)

The answer is confirmed.

Answer:

D. -1

Step-by-step explanation:

edge test

Answer:

There are 32 students in the other 12 homerooms.

Step-by-step explanation:

32x12=384

384+28=412

Full equation: 32x12=384 28=412