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MaRussiya [10]
3 years ago
9

What is the solution to the equation?

Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

7

Step-by-step explanation:

3 {(x + 9)}^{ \frac{3}{4} }  = 24 \\  \\ {(x + 9)}^{ \frac{3}{4} }  =  \frac{24}{3}  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =  8  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =   {2}^{3}   \\  \\ (x + 9) =  {2}^{3 \times  \frac{4}{3} }  \\  \\ x + 9 =  {2}^{4}  \\  \\ x + 9 = 16 \\  \\ x = 16 - 9 \\  \\ x = 7

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What is the value of -2xy if x = -1 and y = 6? <br><br> A. 12 <br> B.-12 <br> C. 26 <br> D. 8
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Answer: A

Step-by-step explanation:

If we are given the values of x and y, we just have to plug them into the expression. So -2xy means -2(-1)(6) which is 12. 12 corresponds to A so A is the correct answer.

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3 years ago
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Help! Please show work and identify the solution or how many solutions there are to the system
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Step-by-step explanation:

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3 years ago
Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum
ira [324]

Answer:

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Step-by-step explanation:

The series is defined as

t_n=2(n+3)

Put n=1.

t_1=2(1+3)=2\times 4=8

Put n=2.

t_2=2(2+3)=2\times 5=10

Put n=3.

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The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

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The sum of n terms of an arithmetic series is

S_n=\frac{n}{2}[2a+(n-1)d]

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288=\frac{2n}{2}[8+n-1]

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0=(n+19)(n-12)

Equate each factor equal to zero.

n=-19,12

The number of terms can not be negative, therefore the value of n must be 12.

6 0
3 years ago
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