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3 years ago

What are the possible values of x if (4x-5)2=49? Check all that apply.

Mathematics

2 answers:

Mars2501 [29]3 years ago

8 0

The answer is x = 59/8

yKpoI14uk [10]3 years ago

7 0

Step-by-step explanation:

(4x-5)2=49

8x-10=49

8x=49+10

8x=59

x=59/8

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Find the midpoint of the coordinates (-2,1) and (4,-4)

kow [346]

(-2,1)
(4,-4)

$\\ \rm\longmapsto P(x,y)$

$\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)$

$\\ \rm\longmapsto \left(\dfrac{2}{2},\dfrac{-3}{2}\right)$

$\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)$

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2 years ago

Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1×103. Which number is the greatest, an

Tasya [4]

Assuming 6.5×10^3 5.5×10^5 1.1×10^3
are in scientific notation.
6500
550000
1100

are the choices without scientific notation.
so by looking at this you can assume (E) is the right answer

(E) <span>The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.</span>

6 0

2 years ago

Read 2 more answers

K divided by 11 is 7.<br>

sp2606 [1]

Answer:

Step-by-step explanation:

3 0

3 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

gavmur [86]

Answer:

Tobias did best on the aptitude test.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Emilio

Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.

z = (x-μ)/σ

z = 76 - 70.6/9

z = 0.6

For Alissa

Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.

z = (x-μ)/σ

z = 298.8 - 282/24

z = 0.7

For Tobias

Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.

z = (x-μ)/σ

z = 8.04 - 7.2/0.4

z = 2.1

Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.

8 0

2 years ago

An=an-1+6an-2 <br> n>2 a0=3 a1=6

Svetach [21]

$\begin{cases}a_0=3\\a_1=6\\a_n=a_{n-1}+6a_{n-2}&\text{for }n>2\end{cases}$

Let the generating function for $a_n$ be

$A(x)=\displaystyle\sum_{n\ge0}a_nx^n$

Multiplying both sides by $x^{n-2}$

$a_nx^{n-2}=a_{n-1}x^{n-2}+6a_{n-2}x^{n-2}$

Summing both sides over the non-negative integers greater than or equal to 2 gives

$\displaystyle\sum_{n\ge2}a_nx^{n-2}=\sum_{n\ge2}a_{n-1}x^{n-2}+6\sum_{n\ge2}a_{n-2}x^{n-2}$
$\displaystyle\frac1{x^2}\sum_{n\ge2}a_nx^n=\frac1x\sum_{n\ge1}a_nx^n+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(\sum_{n\ge0}a_nx^n-a_0-a_1x\right)=\frac1x\left(\sum_{n\ge0}a_nx^n-a_0\right)+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(A(x)-3-6x\right)=\frac1x\left(A(x)-3\right)+6A(x)$
$A(x)=\dfrac{3x+3}{1-x-6x^2}$
$A(x)=\dfrac3{5(1+2x)}+\dfrac{12}{5(1-3x)}$

For $|x|$ , the two series converge to

$\displaystyle A(x)=\frac35\sum_{n\ge0}(-2x)^n+\frac{12}5\sum_{n\ge0}(3x)^n$
$\implies A(x)=\displaystyle\sum_{n\ge0}\dfrac{3(-2)^n+12(3)^n}5x^n$
$a_n=\dfrac{3(-2)^n+12(3)^n}5=\dfrac{3(-2)^n+4(3)^{n+1}}5$

5 0

3 years ago