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PilotLPTM [1.2K]
2 years ago
10

Find the rate of change of the line by completing parts (a) and (b).

Mathematics
1 answer:
Taya2010 [7]2 years ago
4 0

Answer:

The rate of change is 1/2

Step-by-step explanation:

Formula:

y-y/x-x

The two points i chose were (-1,1) and (1,1)

You plug them in:

1-0/ 1 - (-1)

leaving you with 1/2

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100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
(4y^2)^3(3y^2) Please help :)
Ierofanga [76]

Answer:

192y^8

Step-by-step explanation:

7 0
2 years ago
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Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
never [62]
<u>6
</u>13.20
Divide by 6
<u>1
</u>2.2
6 0
3 years ago
Can I please get some help on this...I have tried to many times...
Bezzdna [24]

Answer: A

Step-by-step explanation:

First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.

\sqrt{x-2} =0

When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.

5 0
3 years ago
8/2(2+2) PLEASE HELP ME!!!!!<br> Stop reporting this!!! I need help!!!
Eva8 [605]

Answer:

16

Step-by-step explanation:

you do 2+2 which is 4 then 8/2 is 4 and you multiple 4*4

5 0
3 years ago
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