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lesya [120]
3 years ago
7

Which of the following is the inverse of y=3x

Mathematics
2 answers:
Keith_Richards [23]3 years ago
8 0
Y/3=x or y divided by 3 is equals x. They are the same thing just but the equation in word form. 
Aneli [31]3 years ago
3 0

Answer:

y=\dfrac{1}{3}x

Step-by-step explanation:

Given: y=3x

We need to find the inverse of given function.

If y=f(x) is a function then inverse [/tex] x=f^{-1}(x)[/tex]

Inverse function is symmetry about the line y=x

Step 1: switch x and y

x=3y

Step 2: solve for y

divide both sides by 3

y=\dfrac{1}{3}x

Inverse function: f^{-1}(x)=\dfrac{1}{3}x

Hence, The inverse function is y=\dfrac{1}{3}x

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If the volume of the pyramid shown is 360 inches cubed, what is its height?
GenaCL600 [577]
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

5 0
3 years ago
Read 2 more answers
What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
2 years ago
Factoring trinomials
Kobotan [32]

Answer:

Trinomial

Step-by-step explanation:

Hope it helps

3 0
3 years ago
On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se
kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent  = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent  = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent  = \dfrac12(2x+12)

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

5 0
3 years ago
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Write 4.63 x 10^-3 in standard notation
Ierofanga [76]

Hello!

4.63 x 10^-3 = 0,00463

8 0
2 years ago
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