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Maurinko [17]
2 years ago
14

What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2?

Mathematics
1 answer:
Bumek [7]2 years ago
4 0

Answer:

B

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Here k = 2 , then

y = 2x

This means that the y- coordinate is twice the x- coordinate

The only point where this is true is the point

(2, 4 ) → B

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Consider function f.
tekilochka [14]

Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does
mylen [45]

Answer:

22 m

Step-by-step explanation:

The computation of the how much far does the boat travel is as follows:

sin 43 degrees = 15 ÷ d

d = 15 ÷sin 43 degrees

= 15 ÷ 0.6820

= 21.99

= 22 m

Hence, the how much far does the boat travel is 22 m

We simply applied the above formula so that the correct value could come

The same is to be considered

8 0
2 years ago
A rectangle has an area of 3 3/4 square feet. the length is 1 1/2 . what is the width
Law Incorporation [45]

Answer:

The answer is 2  1/2

Step-by-step explanation:

First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.

Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2

15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .

15/4 x 2/3 =15 x2 = 30 , 4x3=12  so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2

8 0
2 years ago
Need Help ASAP!!
egoroff_w [7]
Bxh

14x15= 210
Hope this help
4 0
3 years ago
What is the solution to the equation -4(2x + 3) = 2x + 6 - (8x + 2)?
MrRa [10]

Answer:

B. x = -8

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

4 0
3 years ago
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