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ICE Princess25 [194]
3 years ago
8

Which expressions are equivalent to 7x - 14?Check all that apply.

Mathematics
2 answers:
Nookie1986 [14]3 years ago
8 0

Alright, lets get started.

The given expression is 7x - 14

Option A : 14 - 7x not equivalent with given expression.

Option B : x  - 2 not equivalent with given expression.

Option C : - (14 - 7x)

We could distribute minus sign into parenthesis

- 14 + 7 x

or

7 x - 14 which is equivalent with given expression.

Option D : 7 (x-2)

Distribute 7 into parenthesis

7 x - 7 * 2

7 x - 14 which is equivalent with given expression.

Option E :

3x - 14 + 4x

Adding similar terms together

7 x - 14 which is equivalent with given expression.

Option F :

2x - 10 + 5x + 4

Adding similar terms together

7 x - 10 + 4

7 x - 6 not equivalent with given expression.

It means option C, D, E are equivalent to given expression. : Answer

Hope it will help :)


ehidna [41]3 years ago
7 0
The answer to this is D
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What value of x makes the following equation true?<br> 15+3x=3(2−2x)
Alinara [238K]

Answer:

\boxed {x = -1}

Step-by-step explanation:

Solve for the value of x:

15 + 3x = 3(2 - 2x)

-Use <u>Distributive Property</u>:

15 + 3x = 3(2 - 2x)

15 + 3x = 6 - 6x

-Take 6x and add it to 3x:

15 + 3x + 6x = 6 + 6x - 6x

15 + 9x = 6

-Subtract both sides by 15:

15 - 15 + 9x = 6 - 15

9x = -9

-Divide both sides by 9:

\frac{9x}{9} = \frac{-9}{9}

\boxed {x = -1}

Therefore, the value of x is -1.

5 0
3 years ago
It cost sam $9.30 to purchase a duck float. He then marks the price up by 50%. How much does sam charge for the duck float?
Alina [70]

Answer: $13.95

50%+ of 9.30 is 13.95 (if you do the math)

4 0
2 years ago
Find the slope of the line passing through the points (-5, -2) and (3, -9)
KatRina [158]

Answer:

-8/-11

Step-by-step explanation:

4 0
4 years ago
A simple random sample of size nequals=8181 is obtained from a population with mu equals 77μ=77 and sigma equals 27σ=27. ​(a) De
ivanzaharov [21]

Answer:

a) P(\bar X>81.5)=1-0.933=0.067

b) P(\bar X

c) P(73.4  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=77,\sigma=27)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(77,\frac{27}{\sqrt{81}})

Part a

We want this probability:

P(\bar X>81.5)=1-P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X >81.5)=1-P(Z

P(\bar X>81.5)=1-0.933=0.067

Part b

We want this probability:

P(\bar X\leq 69.5)

If we apply the formula for the z score to our probability we got this:

P(\bar X \leq 69.5)=P(Z\leq \frac{69.5-77}{\frac{27}{\sqrt{81}}})=P(Z

P(\bar X\leq 69.5)=0.0062

Part c

We are interested on this probability

P(73.4  

If we apply the Z score formula to our probability we got this:

P(73.4

=P(\frac{73.4-77}{\frac{27}{\sqrt{81}}}

And we can find this probability on this way:

P(-1.2

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.2

3 0
4 years ago
Please help me ..!!!
Simora [160]
The range of the piecewise function would be from [2,infinity), or the second choice.
6 0
3 years ago
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