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max2010maxim [7]
4 years ago
7

Which function has a greater y-intercept?

Mathematics
1 answer:
erica [24]4 years ago
8 0
To find the y-intercept of h(r), plug in 0 for r, and solve:

h(r) = -\frac{3}{2} r - 5

h(r) = -\frac{3}{2} × 0 - 5    <em>(plug in 0 for r and solve)</em>
= h(r) = -5

So the y-intercept for h(r)  is: -5
-------------------------------------------------------------------------------------------------------------

For p(r), the y-intercept is when x = 0.
From looking at the table, we see that when x=0,   p(r) = -5

So the y-intercept of p(r) = -5
-------------------------------------------------------------------------------------------------------------

ANSWER:

The y-intercept of h(r) and p(r) are both equal to -5, therefore the y-intercepts are the same.

So the answer would be:

c) The functions have the same y-intercept.

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Two-thirds of a number added to itself is 20. What is the number?
vivado [14]

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0
4 years ago
What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) What is the area of the rectangle?
RideAnS [48]

Answer:

The area of the triangle with the given vertices is 10 square units

Step-by-step explanation:

      x   y

D    3   3

E    3   -1

F   -2   -5

D    3   3


Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2

Absolute value: Abs

A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2

A = Abs [ (-3-15-6)-(9+2-15) ] / 2

A = Abs [ (-24)-(-4) ] / 2

A = Abs ( -24+4) / 2

A = Abs (-20) / 2

A = 20 / 2

A = 10 square units


4 0
3 years ago
I just need these three questions fine, they should be easy, 7th grade level
muminat

1) A graph is linear when the line on a graph is a straight line with no curves.

2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.

3) (I don't know what type of equation you mean but this is my guess)

Division is the last step of an equation.

7 0
3 years ago
Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x
ipn [44]

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

5 0
3 years ago
Which of the following shapes cannot generate a regular tessellation
Alex73 [517]
You are correct.It is a pentagon.
3 0
3 years ago
Read 2 more answers
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