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3 years ago

Which is equivalent to

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

Just what the bleep is happening here! 74847

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You have a $2,000 credit card debt, and you plan to pay it off through monthly payments of $50. If you are being charged 15% int

Luba_88 [7]

You can do this fairly easily on Excel. (its 56)

3 0

3 years ago

I NEED HELP!!!!

Ratling [72]

Answer:

8. False.

11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.

9. True.

10. True.

11. True

12. False.

$|-3+1|= 2\\|-3|+|1|=4$

13. True.

7 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

Simplify 4a +3b - a -5b

Umnica [9.8K]

4a + 3b - a - 5b

First, gather the like terms.
$(4a - a)+(3b-5b)$
Second, subtract 4a - a to get 3a.
$(3a)+(3b-5b)$
Third, subtract 3b - 5b to get 2b.
$3a - 2b$

Answer: 3a - 2b

6 0

3 years ago

-2x+4y=5x-5y solve for y

Lubov Fominskaja [6]

Answer:

y = 7x / 9

Step-by-step explanation:

3 0

3 years ago