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hodyreva [135]
3 years ago
11

Solve the equation 4/9y=8/3

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0
Multiply by 9/4 to get y=6.
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Which of the following is the inverse of the given function? Y=3x^5-4
lawyer [7]

y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

Step-by-step explanation:

   Given function y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4

   To find an inverse for any given function, which is of the form y=f(x), always swap x and y in the equation and try to get the form  x=f(y). Now, swapping back x and y, we get the inverse function.

   On swapping x and y, we get x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4

y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}

x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}

x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   Swapping back x and y, we get y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   This is the inverse function.

3 0
2 years ago
If f(x)=3<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="late
Anvisha [2.4K]

Answer:

\sf f(-3) = 23

<u>given:</u>

\sf f(x) = 3x^2 -4

to find the output, replace x with the given integer.

solve:

\sf f(-3) = 3(-3)^2 -4

\sf f(-3) = 3(9) -4

\sf f(-3) = 27 -4

\sf f(-3) = 23

5 0
1 year ago
Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, ho
VikaD [51]

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

8 0
2 years ago
I need help understanding how to get the answer.
const2013 [10]

Answer:

-157.87

Step-by-step explanation:

1) the rules are:

log_a(bc)=log_ab+log_ac;

and

log_ab^c=c*log_ab.

2) according to the rules above:

log_7(yz^8)=log_7y+8log_7z=-6.19-8*18.96=-157.87.

5 0
2 years ago
I am confusion, can someone help me?
Genrish500 [490]
450 >_ 750 - 70x

450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)

at least 5 people have to get off

hope this helped!
3 0
2 years ago
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