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3 years ago

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)? 1) 0.565 2) 1.140 3) 1.771 4) 2.402

Mathematics

2 answers:

murzikaleks [220]3 years ago

6 0

Answer:7=0.5 |x-4| -3

+3 +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

-20=x-4 20=x-4

+4 +4 +4 +4

-16=x 24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer!

Read more on Brainly.com - brainly.com/question/3508210#readmore

Step-by-step explanation:

myrzilka [38]3 years ago

5 0

Y = .5(3)x = 1.5x
The inverse is x = 1.5 y which is f^-1(x)
Then y = x/1.5
f^-1(7) = 7/1.5 = 14/3 which is not an answer.
Is the problem written correctly.

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charle [14.2K]

Answer:

X to the second power + 5x + 6

Step-by-step explanation:

distribute (X + 2) and (X + 3)

you should get X to the second power + 3x + 2x + 6

then you add like terms (3x + 2x)

then you should get X to the second power + 5x + 6

8 0

3 years ago

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3 years ago

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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d

dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of $P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5$ , where $x$ is the selling price of the product, measured in dollars per unit, is:

$r = \frac{P(55)-P(50)}{55-50}$ (1)

Now we evaluate the function at each bound:

x = 50

$P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5$

$P(50) = 11$

x = 55

$P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5$

$P(55) = 9.125$

Then, the average rate of change is:

$r = \frac{9.125-11}{55-50}$

$r = -0.375$

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0

2 years ago

Two car washes charge a basic fee plus a fee based on the number of extras that

mezya [45]

Answer:

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

Explanation:

The complete question is shown in the attached diagram

The general form of the linear equation is:

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

For the first car wash, we are given the equation:

y₁ = x + 9

Now, we will start by getting the equation for the second car wash:

1- getting the slope:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5$

The equation now is: y = 1.5x+c

2- getting the y-intercept:

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

The equation for the second car wash is:

y₂ = 1.5x + 6

Part 1:

As mentioned above, the y-intercept represents the basic fee

For the first car wash:

y₁ = x + 9 ................> The basic fee is $9

For the second car wash:

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

Part 2:

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

Let's verify:

For x = 6:

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0

2 years ago

RS bisects QRT, mangleQRS = (3x + 8), and mangleSRT = (5x − 4).

Leya [2.2K]

Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.

(3x + 8) = (5x - 4)

3x = 5x - 12

-2x = -12

x = 6

Best of Luck!

5 0

3 years ago