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2 years ago

Let f(x)=2x^2-2x+7 and g(x) =x^2 +9x-6. Find f(x)-g(x)

Mathematics

2 answers:

Andreyy892 years ago

7 0

Answer:

x² - 11x + 13

Step-by-step explanation:

f(x) - g(x)

= 2x² - 2x + 7 - (x² + 9x - 6) ← distribute by - 1

= 2x² - 2x + 7 - x² - 9x + 6 ← collect like terms

= x² - 11x + 13

Helga [31]2 years ago

5 0

Step-by-step explanation:

hi im not really sure if this is right

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
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thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

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simplify:

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2 years ago

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Akimi4 [234]

Answer:

Step-by-step explanation:

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