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2 years ago

Find [g o f](x)=5x-5,g(x)=3x-2

Mathematics

1 answer:

wariber [46]2 years ago

7 0

Answer:

$→f(x) = 5x - 5 \\→g(x) = 3x - 2 \\ [gof](x) = g(f(x)) = 3(5x - 5) - 2 \\ [gof](x) = 15x - 15 - 2 = 15x - 17 \\ \boxed{[gof](x) = 15x - 17}✓$

[gof](x) = 15x - 17 is the right answer.

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What is the equation of the line in point-slope form?

evablogger [386]

Answer:

$y +500 = -\frac{1}{5}(x - 100)$

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

$(x_1,y_1) = (-400,-400)$

$(x_2,y_2) = (100,-500)$

First, we calculate the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-500 - (-400)}{100- (-400)}$

$m = \frac{-500 +400}{100+400}$

$m = \frac{-100}{500}$

$m = -\frac{1}{5}$

The equation is then calculated using:

$y - y_2 = m(x - x_2)$

Substitute x and y values

$y - (-500) = -\frac{1}{5}(x - (100))$

$y +500 = -\frac{1}{5}(x - 100)$

8 0

2 years ago

What is the result of (x^2 – 10x) – (–5x^2 + x)?

Tanzania [10]

Answer:

$( {x}^{2} - 10x) - ( - 5 {x}^{2} + x) \\ {x}^{2} - 10x + 5 {x}^{2} - x \\ \boxed{6 {x}^{2} - 11x}$

<h3>(6x²-11x) is the right answer.</h3>

6 0

3 years ago

What is cos 30º? O A. 13 B. 1 Oc. O D. 3 2 E. O F. 1 /

babunello [35]

Answer: I do not understand the options you gave but but cos30º is equal to $\sqrt{3}$ /2 which is 0.86602540378.

7 0

2 years ago

Carl plans to invest $500 at 8.25% interest, compounded continuously. How long will it take the money to triple?

gogolik [260]

Use exponential growth equation.

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2 years ago

David waits by the crosswalk sign on his way to school. The angle outlined on the sign turns through 50 one-degree angles. Find

mamaluj [8]

Answer:

7 $\frac{1}{5}$ th turns

Step-by-step explanation:

An angle that turn through n one-degrees is said to have an angle measure of n degree. An angle that turns through 1/360 of a circle is called a one degree angle, this is used to measure angles

:. measure of the angle turns through 50 one degree angles

= $\frac{360}{50}$ = 7 $\frac{1}{5}$ th turns.

4 0

3 years ago