3 years ago

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

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The sum of 3 consecutive integers is 60. What is the value of the third integer?

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3 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

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Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

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loris [4]

The answer is a.
I hope this helped

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3 years ago

Read 2 more answers

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1​

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))A. -5x-1B. 5x +1C. -7x +1