13. What is x in the diagram?

hi

(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )

= ( x+5) (x +1)

so

solutions are : x+5=0 so x=-5

x+1= 0. so x= -1

solution are -5 +and -1

Answer:

rectangular prism

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.

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The function is:

[tex]f(x) = \frac{2x}{2x^3 - 5x^2 - 12x} = \frac{2x}{x(2x^2 - 5x - 12)} = \frac{2}{2x^2 - 5x - 12}[/tex]

The points outside the domain are the zeros of [tex]2x^2 - 5x - 12[/tex], which we find solving a quadratic equation.

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Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

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[tex]2x^2 - 5x - 12[/tex] is a quadratic equation with [tex]a = 2, b = -5, c = -12[/tex].

[tex]\Delta = b^{2} - 4ac = (-5)^2 - 4(2)(-12) = 121[/tex]

[tex]x_{1} = \frac{-(-5) + \sqrt{121}}{2(2)} = 4[/tex]

[tex]x_{2} = \frac{-(-5) - \sqrt{121}}{2(2)} = -\frac{6}{4} = -\frac{3}{2}[/tex]

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The domain is: x is an element of all real numbers such that [tex]x \neq (-\frac{3}{2}, 4)[/tex], second option.

A similar problem is given at https://brainly.com/question/13136492

Answer:

Step-by-step explanation:

Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that , second option.

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The domain of a function is all possible values that the input value x can assume.

The domain of a fraction is all real values of x except the zeros of the denominator.

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The function is:

The points outside the domain are the zeros of , which we find solving a quadratic equation.

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Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots  such that , given by the following formulas:

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is a quadratic equation with .

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The domain is: x is an element of all real numbers such that , second option.

A similar problem is given at brainly.com/question/13136492

Answer:

B

Step-by-step explanation:

Given

(x - 5)²

= (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25 → B

Answer:

Step-by-step explanation:

B..x2+10x+25

Answer:

48

Step-by-step explanation:

Kristian : Stephanie

3                 2

Kristian receives 72

72/3 = 24

Multiply each side by 24

Kristian : Stephanie

3*24                 2*24

72                        48

Answer:

x=60°

Does the answer help you?

Answer:

x=60°

Step-by-step explanation:

Hi there!

We are given that <ABD and <DBC are complementary angles.

If two angles are complementary, it means that they add up to 90 degrees.

In that case, <ABD + <DBC=90°.

We're also given that m<ABD=30° and m<DBC=x.

Substituting those values into the equation will give us:

30°+x=90°.

Subtract 30° from both sides.

x=60°.

Hope this helps!

Here we want to find the expressions we need to use to see if the functions g(x) and h(x) are inverses of each other.

The correct option is the last one, counting from the top.

∛((x + 72)^3) - 72  and -(∛(-x) - 72 + 72)^3

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have the functions:

g(x) = ∛(-x) - 72

h(x) =  -(x + 72)^3

Then the expressions we need to check are:

g( h(x) ) = ∛(-h(x)) - 72 = ∛(+(x + 72)^3) - 72 = (x + 72) - 72 = x

h( g(x) ) = -(g(x) + 72)^3 = -(∛(-x) - 72 + 72)^3 = -(∛(-x) )^3 = x

So we found that the two expressions needed are:

∛((x + 72)^3) - 72  and -(∛(-x) - 72 + 72)^3

Then the correct option is the last one, counting from the top.

If you want to learn more, you can read:

https://brainly.com/question/10300045

Answer:

GUYS ITS C THAT IS THE ANSWER

Answer:

(2X -5)^2 as a tri nominal:

2x+2x-10

Answer:

4x² - 20x + 20

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

a = 2x  ; b = 5

(2x- 5)² = (2x)² - 2*2x*5 + 5²  {(2x)² = 2x * 2x = 4x²}

           = 4x² - 20x + 25

Answer:

sorry. I dont know.

Step-by-step explanation:

sorry. I dont know.

Answer:

A. The number of women and the number of men included in the data

Step-by-step explanation:

The boxplot is a useful way to display data. It represents the distribution of data in a five-number summary. These five numbers include the minimum, first quartile, median, third quartile, and maximum. Respectfully, each line on the graph, from left to right, represents one of these numbers. However, because the graph only shows the distribution of data, it does not include the sample size.

Answer:

A lengthy is 89yards and the width is 45yards

Answer:

25

Step-by-step explanation:

The graph is going up by 25 each block or point of the way, if im wrong, im sory

Answer:

C.

Brainliest, please!

Step-by-step explanation:

A negative exponent means that the number is really small, which is true in this case.

Answer:

0.00000135

Step-by-step explanation:

1.35 x 10-5 means,

1.35/100000

=>0.00000135

Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

Sorry if I'm wrong

Answer:

98

Step-by-step explanation:

Let x be the next test score

87, 92, 90, 84, 88, and 91, and x

We want to average them and the average to 90

(87+ 92+ 90+ 84+ 88+ 91+x)/7 = 90

Multiply each side by 7

(87+ 92+ 90+ 84+ 88+ 91+x)/7*7 = 90*7

(87+ 92+ 90+ 84+ 88+ 91+x) = 630

Combine like terms

x+532=630

Subtract 532

x = 630-532

x= 98

Answer:

Step-by-step explanation:

The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different

That means you have 6 numbers and 4 letters.

You have a 1/6 chance of throwing the 17

You have a 1/4 chance of spinning the F

P(F and 17) = 1/6 * 1/4 = 1/24

Answer:

a

Step-by-step explanation:

a

Answer:

liquidity

Step-by-step explanation:

when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.

which can actually lead to insolvency.

Answer:

8.555.... is a irrationtional number .

Answer:

96.94%

Step-by-step explanation:

Steps to solve "what percent is 950 of 980?" If you are using a calculator, simply enter 950÷980×100 which will give you 96.94 as the answer.

Answer:

96.94%

Step-by-step explanation:

Answer:

c 135cm^3 is the correct answer

Answer:

Step-by-step explanation:

volume of smaller cup=625×(3/5)³=625×27/125=5×27=135 cm³

Answer:   -80

Step-by-step explanation:

Answer:

556

Step-by-step explanation:

Surface area=2*(lb+bh+lh)=2*(110+80+88)=556

Cost of skateboard : $60

Cost of each lemonade = $1.50

Total glasses of lemonade to be sold = 60/1.5

= 60/15×10

= 4×10

= 40

Therefore she has to sell 40 glasses of lemonade

Must click thanks and mark brainliest

a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.

b. The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

From the question,

The data for the first week are

Week 1: 12, 8, 10, 9, 12

and for the second week

Week 2: 8, 7, 12, 9, 10

Putting the data together, we have  

12, 8, 10, 9, 12, 8, 7, 12, 9, 10.

Now,

]a. To determine the mean of the above data,

Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.

From the above, we have 10 numbers

∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]

[tex]Mean = \frac{97}{10}[/tex]

Mean = 9.7 minutes

For the median of the data

The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.

For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10

Arranging in ascending order, we get

7, 8, 8, 9, 9, 10, 10, 12, 12, 12.

Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.  

∴ [tex]Median = \frac{9+10}{2}[/tex]

[tex]Median = \frac{19}{2}[/tex]

Median = 9.5 minutes

For the mode of the data

The mode is the value that occurs most often.

From the data, 12 occurs most often (three times)

∴ Mode = 12 minutes

For the range of the data

Range is the difference between the highest and lowest values.

From the data

Highest value = 12

Lowest value = 7

∴ Range = 12 - 7

Range = 5 minutes

b. For the measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day.

Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.

∴ The measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Hence,

From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes

and the  measure Mahesh will use to describe how many minutes  the duration of his bus ride may differ from day to day is the range.

Learn more here: https://brainly.com/question/16882439

Answer:

6 meters and 3 meters are the dimensions of the vegetable patch.

Step-by-step explanation:

Keep in mind the formulas for perimeter and area of a rectangle are:

A - lw

P - 2 (l + w)

List the factors of 18:

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS of the vegetable patch:

1 meter and 18 meters

Area - 18 m^2

Perimeter - 38 meters

2 meters and 9 meters

Area - 18 m^2

Perimeter - 22 meters

3 meters and 6 meters

Area - 18 m^2

Perimeter - 18 meters

The rectangular vegetable patch with the dimensions 3 meters and 6 meters corresponds with the given area and perimeter of the vegetable patch mentioned. So that is your answer.

Hope this helps!