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gizmo_the_mogwai [7]
3 years ago
14

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

rcept of -4 and a y-intercept of 3. Write an equation for this relationship in standard form.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3).  Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3.  Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

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Solve for c.<br><br> a(c−b)=d
tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

3 0
3 years ago
When a linear function has a slope of 5, what is the "run" part of the slope?
alukav5142 [94]
Slope equals rise over the run
so if slope = 5 then the rise also equals 5 and the run is 1


7 0
3 years ago
Find the volume of the following
ki77a [65]
Finding the volume of this will mean that we'll have to know the formula. The formula for finding the volume of a prism is L x W x H. 
L- Lenght
W - Width
H - Height.

So Volume is going to be equalled to  6 x 5 x 4 = 120 cm cubed
6 0
3 years ago
Read 2 more answers
350 divided by 10 to the 3rd power
Sergio [31]

Answer:

<h2>0.35</h2><h2>Step-by-step explanation:</h2>

350 divided by 10 to the 3rd power

350 : 10³ =

350 : 1000 =

0.35

7 0
3 years ago
What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4 ?
Mumz [18]

Answer:

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

Step-by-step explanation:

Given in the question the expression:

(x + 1) / (x² + x - 6) ÷  (x² + 5x + 4) / (x+4)

factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation

(x + 1) / (x-2)(x+3) ÷  (x² + 5x + 4) / (x+4)

Taking reciprocal to convert ÷ into ×

(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)

factorisation of (x² + 5x + 4) =  (x+1)(x+4) by using quadratic equation

(x + 1) / (x-2)(x+3)    x    (x+4) / (x+1)(x+4)

cancel (x + 1) from both expression

1 / (x-2)(x+3)    x    (x+4) / (x+4)

cancel (x+4)

1 / (x-2)(x+3)  Simplified form

5 0
3 years ago
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