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2 years ago

If f(x) = 7x-6, which of the following is the inverse of f(x)?

Mathematics

1 answer:

Harman [31]2 years ago

8 0

Answer:

$f^{-1}$ (x) = $\frac{x+6}{7}$

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 7x - 6 ( add 6 to both sides )

y + 6 = 7x ( divide both sides by 7 )

x = $\frac{y+6}{7}$

Change y back into terms of x, hence

$f^{-1}$ (x) = $\frac{x+6}{7}$

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What is the area of the figure?

hammer [34]

The area of the figure is 9

7 0

2 years ago

Can anyone help me with this?

Artemon [7]

7) 5+4 = 9

4+5=9

8) 6+5 = 11

5+6 = 11

9) 6+7 = 13

7+6 = 13

10) 7+8 = 15

8+7 = 15

11) 8+9 = 17

9+8 = 17

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13) 7+6 = 13

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3 0

2 years ago

Read 2 more answers

The measurements 45.367 cm and 43.43 cm are made in the same unit of measure. Which measurement is less precise? Explain your an

Kaylis [27]

Answer:

45.367 cm

Step-by-step explanation:

Approximating to a more number of decimal places gives a better estimation of the exact value.

For 45.367 cm, we approximated to three decimal places or five significant figures.

For 43.43 cm, the approximation is done to four decimal places.

Therefore the measurement 45.367cm is more precise because it has a relatively smaller error.

7 0

2 years ago

Y=-x^2-10x+24 What is the y value of the vertex?

emmasim [6.3K]

Answer:

Step-by-step explanation:

1.) Get the equation in the form y = ax^2 + bx + c.

2.) Calculate -b / 2a. This is the x-coordinate of the vertex.

3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

1.) y = -x^2 - 10x + 24

2.) -(-10) / 2(-1) = -5

3.) y = -(-5)^2 - 10(-5) + 24

y = -25 + 50 + 24

y = 49

7 0

2 years ago

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

GaryK [48]

Answer:

8.88 feet

Step-by-step explanation: Since it is a square all the sides equal the same number. You may not know how to use square roots yet but, I will show you how they are helpful. The square root of a number is when the 2 numbers being multiplied together are the same. For example, 3*3 is 9. The square root of 9 is 3 because when you multiply 3 and 3 together you get 9. For your problem since all the problems start with 8.8 we know it is bigger than 8 and less than 9 because the square root of 8 is 64 and the square root of 9 is 81. Since 79 is closer to 81 then it is to 64 we know 8.86 and 8.87 won't work because they are too small. From here the best way to figure it out is by trial and error if you are not allowed to use a calculator. So try 8.88 times 8.88 and 8.89 times 8.89. But if you are allowed to use a calculator (a scientific calculator) type in 79. There should be a button that looks like $\sqrt{x\\$ . If you press it it will give you the square root of 79 (which is what you are looking for).

6 0

2 years ago