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Leto [7]
2 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]2 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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A standard interior staircase has steps each with a rise (height) of 21 cm and a run (horizontal depth) of 24 cm. Research sugge
Alisiya [41]

Answer:

The staircase would extends 1.20 m if the changes were made.

Step-by-step explanation:

Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:

Number steps= \frac{Total heigth}{each step} \\Number steps= \frac{504}{21}  = 24 steps

To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.

using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.

So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.

6 0
3 years ago
8. Solve X=Students &amp; Y=Teachers<br> X+Y=24<br> X=3Y
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Answer:

x=18, y= 6

Step-by-step explanation:

if x+y=24

x= 24- y

in second case

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Can someone help plz
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I think the answer is B.
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