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1 year ago

G(x)=2x-8, f(x)=5-g(x) what is the value of f(10)

Mathematics

1 answer:

Rudik [331]1 year ago

5 0

By evaluating the function, we conclude that f(10) = -7

<h3>How to evaluate the function f(x)?</h3>

Here we know that:

g(x) = 2x - 8

And f(x) = 5 - g(x).

Then we can write:

f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13

Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.

f(10) = -2*10 + 13 = -20 + 13 = -7

Then, we conclude that f(10) = 7

If you want to learn more about evaluating:

brainly.com/question/1719822

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miguel joins a gym that has a 40$ membership fee and charges 22.50 per month.he also joins a martial art class that charges 16$

Kipish [7]

Answer:

Step-by-step explanation:

The gym membership is going to cost 40 initially plus 22.50 for each month after.

The total cost for the gym can be expressed as 40+22.50m

The martial arts class is going to cost 26 initially plus 16 for each month after.

The total cost for the martial arts class can be expressed as 26+16m

Now we have to combine these to get the total cost for both the gym and the martial arts class:

(40+22.50m) + (26+16m) = 66 + 38.50m (option A)

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3 years ago

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separ

Sidana [21]

Answer:

This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3

Step-by-step explanation:

The given function is

$f(x)=(x-3)^{-2}$

When we differentiate this function with respect to x, we get;

$f'(x)=-\frac{2}{(x-3)^3}$

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)

This implies that;

$0.06-0.25=-\frac{2}{(c-3)^3} (6)$

$-0.19=-\frac{12}{(c-3)^3}$

$(c-3)^3=\frac{-12}{-0.19}$

$(c-3)^3=63.15789$

$c-3=\sqrt[3]{63.15789}$

$c=3+\sqrt[3]{63.15789}$

$c=6.98$

If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).

But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.

3 0

3 years ago

Write an expression for the quotient of a number and 5 decreased by 4

Oksi-84 [34.3K]

Q=x/5-4

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3 years ago

Does the table represent a linear function? Explain why or why not

OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

<u>Linear Function </u>

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x y

0 0

1 1

2 8

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Slope= y/x

Slope = 0/0=0

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Since the slope of points x and y in the table is not same, and its graph is not linear.

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Keywords: Linear Function

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3 years ago

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Anna71 [15]

Answer:

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Step-by-step explanation:

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3 years ago