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Rudik [331]
3 years ago
6

Given ƒ(x) = 7x − 22, find x when ƒ(x) = 48.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0
X= 10. Should be pretty easy
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The value of a small airplane depreciates exponentially every year after it is purchased. The value, in thousands of dollars, a(
ratelena [41]

Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.

<h3>Exponential function:</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the function for the value of the airplane after t years is given by:

A(t) = 131.5(0.8)^t

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.

To learn more about exponential functions, you can take a look at brainly.com/question/8935549

4 0
2 years ago
Read 2 more answers
-5(6v-w-1) <br> Distributive prot
krok68 [10]

Answer:

-30v + 5w + 5

Step-by-step explanation:

-5(6v - w - 1) =

Multiply -5 by each term inside the parentheses.

= -5 * 6v - (-5) * w - (-5) * (-1)

= -30v + 5w + 5

5 0
3 years ago
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of
RUDIKE [14]
C prime would just be (4, 2) cause you are dilating it at 0,0 and with a scale factor of 2.
2(2, 1) is (4, 2)
This is double the distance from 0, 0 which makes sense
6 0
3 years ago
Isaac, a manager at a supermarket, is inspecting cans of pasta to make sure that the cans are neither dented nor have other defe
Fynjy0 [20]

Answer:

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.    

Step-by-step explanation:

W are given the following in the question:

Probability of defective can =

P(A) = \dfrac{1}{90}

We have to find the probability that Isaac will find his first defective can among the first 50 cans.

Then the number of adults follows a geometric distribution, where the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success is

P(X=k) = (1-p)^{k-1}p

We have to evaluate:

P(x = 50)\\= (1-\frac{1}{90})^{50-1}(\frac{1}{90})\\= 0.0064

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.

7 0
3 years ago
Find x. Assume that any segment that appears to be tangent is tangent.
Mamont248 [21]
The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.

Therefore, we can write and solve the following equation:

(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
6 0
3 years ago
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