3 years ago

Common factors of 28 and 40

1 answer:

7 0

28: 1, 2, 4, 7, 14, 28

40: 1, 2, 4, 5, 8, 10, 20, 40

The common factors are 1, 2, and 4.

You can use a factor rainbow to help you find the factors (:

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

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3 years ago

Evaluate the expression for the given value of the variable(s). 5a + 5b; a = -6, b = -5

Vika [28.1K]

Your answer is A. You literally plug in the numbers for a and b to solve for the equation.

4 0

3 years ago

Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.

mars1129 [50]

Answer:

$(x-5)^2+(y+2)^2=16$

Step-by-step explanation:

lol brainlessly...

General Circle function: $(x-h)^2+(y-k)^2=r^2$ , where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

$(x-5)^2+(y-(-2))^2=4^2$

$(x-5)^2+(y+2)^2=16$

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3 years ago

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shusha [124]

Answer:

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Step-by-step explanation:

Round it up to 49.10

8 0

2 years ago

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Dafna1 [17]

Answer:

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Step-by-step explanation:

hope it helped.

4 0

3 years ago

Read 2 more answers