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2 years ago

The ordered pair (x,5) is a solution to the function f(x) = x^2 + 1

Mathematics

1 answer:

torisob [31]2 years ago

3 0

Answer:

x = ± 2

Step-by-step explanation:

Given

f(x) = x² + 1 and (x, 5 ) is a solution then f(x) = 5

Equating the two gives

x² + 1 = 5 ( subtract 1 from both sides )

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

Thus (- 2, 5) and (2, 5) are solutions

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Britney work 35 hours at a rate of pay of 9.55 how much did she earn before taxes

k0ka [10]

Answer:

3.66

Step-by-step explanation:

35÷9.55=3.66

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2 years ago

A function is given. h(t) = t2 + 3t; t = −1, t = 2

Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function $f(x)$ over the interval $a\leq x\leq b$ is given by this expression:

average rate of change = $\frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}$

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

$h(t)=t^2+3t\\\\t=-1\\t=2$

(a) To find the net change of the function, first we calculate the values of $h(2)$ and $h(-1)$

$h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10$

The net change is simply the difference

$h(2)-h(-1)=10-(-2)=12$

(b) The average rate of change takes the net change and divides it by the change in the $t$ value.

$\frac{12}{2-(-1)} =\frac{12}{3}=4$

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3 years ago

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Which of the following is most likely the next step in the series?

IgorC [24]

A. The hexagon as the series is adding a side each time. So you started with 3, 4, 5...

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3 years ago

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George ate 4 slices of pizza if this was 25% of the slices at the dinner table how many slices were there at the table to start

Lisa [10]

There were 16 slices

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3 years ago

Please help!!! <br> I’m so bad at math.

marishachu [46]

Answer:

x = - 9 , 6

Step-by-step explanation:

The given function is

$h(x) = \frac{x - 8}{x^{2} + 3x - 54}$

⇒ $h(x) = \frac{x - 8}{(x - 6)(x + 9)}$

Therefore, the value of h(x) will be undefined for the denominator equal to zero.

So, (x + 9)(x - 6) = 0

⇒ x = - 9 and x = 6

Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)

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2 years ago