7(2+3x)+8, 12+3(8+x), and (7x+2)3+8x

Answer:

x=61

Step-by-step explanation:

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Answer:

See image

Step-by-step explanation:

This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.

So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.

The Add exponents rule and Subtract are 100% correct.

The expressions are matched to the method needed to evaluate as shown below.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The first expression is 5³ × 5³.

Multiplication rule of exponents states that,

xᵃ × xᵇ = xᵃ⁺ᵇ

That is we add the exponents.

So, 5³ × 5³ = 5³⁺³ = 5⁶

The next expression is (7²)³.

We have the rule, (xᵃ)ᵇ = xᵃᵇ

So, here, multiply the exponents.

(7²)³ = 7⁶

(4x³)⁵

We can write it as,

(4x³)⁵ = 4⁵ . (x³)⁵

That is write is as product of the powers.

Division rule of exponents states that,

xᵃ / xᵇ = xᵃ⁻ᵇ

6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴

So, subtract the exponents.

Hence the expressions are matched.

Learn more about Exponents here :

https://brainly.com/question/5497425

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Answer: 95,800 - 28,766 = 67,034

Step-by-step explanation: hope this helps :)

the ratio is 24:30

or the simplified version is 4:5

Answer:

2/3

Step-by-step explanation:

Answer:

The slope of the one of the top is -1/4

The slope of the one on the bottom is 1/6

Step-by-step explanation:

The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.

The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.

Answer:

-10.9

Step-by-step explanation:

Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.

Divide -65.4 by the count of the numbers. (6)

Step-by-step explanation:

as just answered in the other question, the y-intercept is simply the y-value, when x=0.

it is -5 for function 1.

and function 2 clearly crosses the y-axis at y = -7, which is the y-intercept.

as -5 is greater than -7, function 1 had the greater y- intercept.

Answer:

C. y=4.5x

Step-by-step explanation:

divide y by x

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

Answer:

the answer is is c I promise

Step-by-step explanation:

I just took the test

Answer:

-23.66666667

(⅓x²-8y)

Step-by-step explanation:

(⅓x²-8y) is the simplest form :)

Answer:

i think its 1/2

Step-by-step explanation:

Answer:

A. 1/2

1 over 2 is equal to 1/2

B. 1/2 Batch

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

Answer:

C is your answer for your question

Step-by-step explanation:

is it like this ? no diagrams ?

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

3 liters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry no one answered your question sooner. First Let x = what the daughter receives

Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.

Answer:

the answer is A. g(x) = -x^2 - 4

Step-by-step explanation:

hope this helps! :)

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

I have no clue I just need the points have a good day tho :)

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

Answer:

3

Step-by-step explanation:

dont ask me

i'm doing this for points, don't question it

Answer:

B

Step-by-step explanation:

Answer:

Principal = Rs. 5000

Rate of Interest = 5%

Number of years = 2 y 3 m = 2 1/4 years

Interest = (P x N x R) / 100

ie (5000 x 9/4 x 5) /100= Rs. 562.50

Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.