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gtnhenbr [62]
3 years ago
10

what is f(x) = 2x2 28x – 5 written in vertex form? f(x) = 2(x 7)2 – 19 f(x) = 2(x 7)2 – 103 f(x) = 2(x 14)2 – 14 f(x) = 2(x 14)2

– 98
Mathematics
2 answers:
Katarina [22]3 years ago
4 0
Hello,
++++++++++++++++++++++
Answer B
++++++++++++++++++++++

2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103

++++++++++++++++++++++++++++++
lana66690 [7]3 years ago
4 0

Answer:

f(x)=2(x+7)^2-103

Step-by-step explanation:

f(x) = 2x^2+28x - 5

To find out vertex apply the formula x=-b/2a

The value of a=2 and b=28

x=\frac{-b}{2a} =\frac{-28}{4} =-7

Now plug in x=-7 in f(x) equation and find out f(-7)

f(-7) = 2(-7)^2+28(-7)- 5=-103

Vertex is (-7,-103)

Now use vertex formula

f(x)=a(x-h)^2+k

a=2, h=-7, k=-103

Plug in all the values in the vertex form equation

f(x)=2(x+7)^2-103

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3 years ago
You are designing a ramp where the horizontal distance is twice the vertical rise. what will be the ramp angle to the nearest te
ankoles [38]
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7 0
3 years ago
Using substitution <br> x+3y=3<br> 3y-2x=12
frez [133]

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

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And we need to solve the equation using Substituting method . So on taking the first equation ,

\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y

<u>Put </u><u>this</u><u> </u><u>value</u><u> </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6

<u>Put </u><u>this</u><u> </u><u>Value</u><u> </u><u>in </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21

<u>Hence</u><u> the</u><u> </u><u>Value</u><u> </u><u>of </u><u>x </u><u>is </u><u>2</u><u>1</u><u> </u><u>and </u><u>y </u><u>is </u><u>(</u><u>-</u><u>6</u><u>)</u><u> </u><u>.</u>

4 0
3 years ago
Read 2 more answers
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