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Stella [2.4K]
3 years ago
13

SIMPLIFY 5(2X-3)+4(X+1)

Mathematics
2 answers:
levacccp [35]3 years ago
4 0

Answer: 14x - 11

Step-by-step explanation:

Add  10x and 4x.

14x −15 + 4

Add −15 and 4.

14 x −11              

OR.

Apply the distributive property. 5 ( 2 x ) + 5 ⋅ − 3 + 4 ( x + 1 )

Multiply  2  by  5 . 10 x + 5 ⋅ − 3 + 4 ( x + 1 )

Multiply  5  by   − 3  . 10 x − 15 + 4 ( x + 1 )

Apply the distributive property. 10 x − 15 + 4 x + 4 ⋅ 1

Multiply  4  by  1 . 10 x − 15 + 4 x + 4

hoped this helped lmk if it did

8090 [49]3 years ago
3 0

Answer:

14x - 11

Step-by-step explanation:

Distribute

10x - 15 + 4x + 4

Combine like terms

14x - 11

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D. Because the 3 is the rate and the 6 is what was already there.
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3 years ago
Read 2 more answers
What is the value of x?
soldi70 [24.7K]

Answer:

5\sqrt{3}

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = a\sqrt{3}

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = 5\sqrt{3}

90* = 10

3 0
3 years ago
Select the correct answer from each drop-down menu.
ruslelena [56]

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

  • The independent variable is the input of the relation
  • The dependent variable is the output of the relation
  • The values of dependent variables depend on the values of independent variables
  • When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months:  0       :  1         :  2       :  3          :  4

→ Number of Fish      : 1,024 :  1,280 :  1600 :  2,000  :  2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

   is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the <u><em>Number of Months</em></u> and should be placed on the<em> </em><u><em>x-axis</em></u>

The dependent variable in the relationship is the <em><u>Number of Fish</u></em> and should be placed on the <u><em>y-axis</em></u>

<u><em /></u>

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0
3 years ago
An analyst for a new company used the first three years of revenue data to project future revenue for the company. The analyst p
Westkost [7]

Using limits, it is found that since \lim_{x \rightarrow \infty} f(x) < 0, the company is expected to operate at a loss, hence it is not expected to be successful.

The revenue function is given by:

f(x) = -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50

<h3>Limit:</h3>
  • The projected revenue over the long-term is given by the limit of f(x) as x goes to infinity.

Then:

\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50 = \lim_{x \rightarrow \infty} -2x^5 = -2(\infty)^5 = -\infty

Since the limit is negative, the company is expected to operate at a loss, hence not being successful.

To learn more about limits, you can take a look at brainly.com/question/24821129

3 0
3 years ago
Over the past few years, there has been a strong positive correlation between the annual consumption of diet soda drinks and the
Law Incorporation [45]

Answer:No. A strong correlation does not imply causation.

Step-by-step explanation:

Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.

Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.

A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.

Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.

7 0
4 years ago
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