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fredd [130]
3 years ago
15

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 1, 2

and 2, 5, and g of x passes through one half, 2 and 1, 5.
Mathematics
1 answer:
disa [49]3 years ago
5 0
It’s 1,2 f(x) and gf of c
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Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).
igomit [66]

Answer:

y = 1/7x -1

Step-by-step explanation:

1) Find the slope.

- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.

2) Use the point-slope form and substitute the values available. Then solve.

m (slope) = 1/7

(a, b) = (14, 1)

y - b = m(x - a)

y - 1 = 1/7(x - 14)

y - 1 = 1/7x - 2

y = 1/7x - 1

The result is your answer.

Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^

7 0
2 years ago
A job fair was held at the Student Union. 25% of the students who attended received job offers. Of all of the students at the jo
vovangra [49]

Answer:

A) Both events are not independent.

B) Both events are not mutually exclusive

C) 8.33%

D) 80%

Step-by-step explanation:

A) Both events are not independent. This is because, If B occurs it means that it is very likely that J will occur as well.

B) Both events are not mutually exclusive. This is because it is possible for both events J and B to occur at the same time.

C) we want to find the probability that Joe who is not a business student will receive the job offer.

This is;

P(J|Not B) = P(J & Not B)/P(Not B)

Now,

P(J & Not B) = P(J) – (P(B) × P(J | B))

25% of the students who attended received job offers. Thus; P(J) = 0.25

40% were from the College of Business. Thus;

P(B) = 0.4

Among the business students, 50% received job offers. Thus;

P(J|B) = 0.5

Thus;

P(J & Not B) = 0.25 - (0.4 × 0.5)

P(J & Not B) = 0.25 - 0.2

P(J & Not B) = 0.05

Since P(B) = 0.4

Then, P(Not B) = 1 - 0.4 = 0.6

Thus;

P(J|Not B) = 0.05/0.6

P(J|Not B) = 0.0833 = 8.33%

D) This probability is represented by;

P(B | J) = P(B & J)/P(J)

P(B & J) = (P(B) × P(J | B)) = (0.4 × 0.5) = 0.2

P(B | J) = 0.2/0.25

P(B | J) = 0.8 = 80%

5 0
2 years ago
A circle with circumference of 10 has area of 100.<br> True or False
oksian1 [2.3K]
Circumference of a circle:
C = 2 r π 
10 = 2 r π
r = 10 / 2π = 5 / π
Area of a circle:
A = r² π = ( 5 / π )² * π = 25 / π² * π = 25 / π ≠ 100
Answer: False.
8 0
2 years ago
Read 2 more answers
The measure of two complementary angles are in the ratio 1 : 4. What are the degree measures of the two angles?
AlladinOne [14]
Since the angles are complementary, they add to 90°. So we can write the equation:
x represents the first angle, and 4x represents the second
x+4x=90
5x=90
x=18 

So the first angle is 18° and the second is 72° (18*4)

Hope this helps
6 0
3 years ago
A square has an area of 49 in.² what is each side of the perimeter
ludmilkaskok [199]
I hope this helps you




square one side a



Area=a.a



49=a.a



7.7=a.a



a=7



Perimeter=4a=4.7=28
8 0
3 years ago
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