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Leto [7]
3 years ago
5

What are the vertex and x intercepts of the graph of the function below y=(x-4)(x + 2)

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

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

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)

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aev [14]
Since those are the zeros, we can say that the equation would have to be
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7 0
3 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

7 0
3 years ago
The world record for the greatest temperature range recorded in one day occurred in Browning,Montana in 1916.The temperature fel
zhannawk [14.2K]

Answer:

-100 F

Step-by-step explanation:

8 0
4 years ago
The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x2 + 5x
nikdorinn [45]

Answer:

  width: 15 inches; length: 20 inches

Step-by-step explanation:

The equation tells you the product of width (x) and length (x+5) is 300, so you're looking for factors of 300 that differ by 5.

  300 = 1·300 = 2·150 = 3·100 = 4·75 = 5·60 = 6·50 = 10·30 = 12·25 = 15·20

The factors in the last pair on this list differ by 5, so we have ...

  • width = 15 inches
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5 0
3 years ago
Which equation has no solution?<br> A. <br><br> B. <br><br> C. <br><br> D.
mestny [16]

Answer:

Option C, 5.1 + 2y + 1.2 = -2 + 2y + 8.3

Step-by-step explanation:

<u>Option C, since when you subtract and try to get y by itself, the y variable will disappear which means there is no solution.</u>

<u />

6.3 + 2y - 2y - 6.3 = 6.3 + 2y - 2y - 6.3

<em>0 = 0</em>

<em />

Answer:  Option C, 5.1 + 2y + 1.2 = -2 + 2y + 8.3

6 0
4 years ago
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