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3 years ago

12

What number must you add to complete the square? x^2+6x=23

1 answer:

Shalnov [3]3 years ago

8 0

Answer:

9

Step-by-step explanation:

using the formula (b/2)^2 you will divide 6 by 2 and square it. you will get 9. if you add 9 to the left side, you would have to add it on the right side as well (23+9=32). your answer should look like x^2+6x+9=32

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The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct

Zarrin [17]

The functions would be:

D. y=x³

We can check it out.

(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
(2,8); x=2; y=8 ⇒8=(2)³=2*2*2=8
(3,27); x=3; y=27 ⇒27=3³=3*3*3=27
(4,64): x=4; y=64 ⇒64=4³=4*4*4=64
(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125

8 0

3 years ago

Can someone help me out

Nastasia [14]

Answer:

40

Step-by-step explanation:

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4 years ago

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Calcule a área lateral de uma pirâmide regular quadrangular de altura 6 cm e área da base 64 cm2

sweet [91]

Answer:

bam

Step-by-step explanation:

bam

8 0

3 years ago

A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

4 0

4 years ago

33. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 78 and a standard deviation

tino4ka555 [31]

Given the scores on a statewide standardized test are normally distributed

Mean = μ = 78

Standard deviation = σ = 3

Normalize the data using the z-score by using the following formula and chart:

$z=\frac{x-\mu}{\sigma}$

Estimate the percentage of scores of the following cases:

(a) between 75 and 81

so, the z-score for the given numbers will be:

$\begin{gathered} 75\rightarrow z=\frac{75-78}{3}=\frac{-3}{3}=-1 \\ 81\rightarrow z=\frac{81-78}{3}=\frac{3}{3}=1 \end{gathered}$

As shown, the percentage when (-1 < z < 1) = 68%

(b) above 87

$87\rightarrow z=\frac{87-78}{3}=\frac{9}{3}=3$

The percentage when (z > 3) = 0.5%

(c) below 72

$72\rightarrow z=\frac{72-78}{3}=\frac{-6}{3}=-2$

The percentage when (z < -2) = 0.5 + 2 = 2.5%

(d) between 75 and 84

$\begin{gathered} 75\rightarrow z=\frac{75-78}{3}=-\frac{3}{3}=-1 \\ 84\rightarrow z=\frac{84-78}{3}=\frac{6}{3}=2 \end{gathered}$

The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%

3 0

1 year ago