Question 8 of 10 What is the domain of the function graphed below ​

A coefficient in the algebraic expression is: 5

The constant is: 12

A variable is: x

A term in the algebraic expression can be: 5x or 12.

An algebraic expression consist of terms, which can be:

Thus, given the algebraic expression, 5x + 12, the following parts of the algebraic expression can be identified as shown below:

A coefficient in the algebraic expression is: 5 (tis is the number multiplied by the variable x)

The constant is: 12 (this is the number standing alone)

A variable is: x (this is the alphabet in the algebraic expression)

A term in the algebraic expression can be: 5x or 12.

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Check the picture below.

Answer:

3

Step-by-step explanation:

See the attached image.

Find the altitude of the top of the hill by adding the difference to the altitude of the check point 3:

Find the difference between the two altitudes:

You got it correct.

The given statement fraction numerator 6 y plus 2 x over denominator 5 end fraction in numerical form 18 is 6y + 2x = 90.

A linear equation in two variables has the highest degree of 1 and contains two variables generally in x and y.

Given in numerator we have 6y + 2 and in the denominator, we have 5 and this fraction equals to 18, This can be numerically represented as

(6y + 2x)/5 = 18.

6y + 2x = 90.

This is a linear equation in two variables x and y and for every value of x we get a corresponding value of y or vice-versa and all (x,y) ∈ R.

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Answer:Average Speed = 126.6 mph

Step-by-step explanation:

Answer: c=√29

Step-by-step explanation:

We use Pythagoras' theorem:

[tex]c^2=5^2+2^2\\c^2=5*5+2*2\\c^2=25+4\\c^2=29\\[/tex]

Extract the square root of both parts of the equation:

[tex]\sqrt{c^2}=\sqrt{29} \\ c=\sqrt{29}[/tex]

Answer:

4736 because count add them together or do it your way

Answer:

x = 36

y = 15

Step-by-step explanation:

127 - 52 = 75

75 / 5 = 15

2x + 3 = 5(15)

2x + 3 = 75

2x = 72

x = 36

Answer:

In order to round 25.691 to the greatest place or the nearest whole number, first start at the last digit behind the decimal, in the case, being the 1. When it comes to things like this, if the digit is 4&under meaning its the number 4,3,2,1 or 0. If it is 5&up, that means it could be 5-9, making the digit go up (but if its 2, then the digit just goes away, you wont have to worry about that one specific number).

Next step is to round the 9 which makes the 6 go up one digit (meaning it turns into a 7). Now, when you round the seven, it will make the whole number go up one digit, but if you want to round that as well, to start, it's first rounding equaled up to 26. If you're rounding it to a whole tens number, it would be 30. I hope that this helps you understand this subject or topic much better! :3

Step-by-step explanation:

The solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).

Herein we find a system formed by one linear equation and one nonlinear equation (quadratic equation). First, we equalize the two equations to eliminate the variable y:

2 · x² - 5 · x - 7 = 2 · x + 2

2 · x² - 7 · x - 9 = 0

2 · [x² - (7 / 2) · x - 9 / 2] = 0

2 · (x - 9 / 2) · (x + 1)

There are two solutions to x: x₁ = 9 / 2, x₂ = - 1. And the solutions for y are:

y₁ = 2 · (9 / 2) + 2

y₁ = 11

y₂ = 2 · (- 1) + 2

y₂ = 0

Then, the solutions to the system of equations are (x₁, y₁) = (9 / 2, 11) and (x₂, y₂) = (- 1, 0).

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Answer:

1.) 85+ (-10) = 95 is false.

2.)  5x+7 = 17 is false.

3.) -8(-2) - 7 = 14 – 5 is false.

Step-by-step explanation:

1. is false because since 85 ≠ 95, then 85 + ( - 10) = 95 is false.

2. is false because since 12 ≠ 17, then 5x + 7 = 17 is false.

3. is false because since -15 ≠ 14, then -8( - 2) - 7 = 14–5 is false.

From the temperatures given, we have that:

a) The regression equation is: y = 2.91x + 64.61.

b) The predicted temperature at 2 pm is of 88 ºF.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the input and the output are given as follows:

We have that an hour is 60 minutes, hence:

Thus the points are given as follows:

(0, 65), (0.75, 67), (1.5, 68), (2.5, 72), (3, 74), (3.75, 75), (4.5, 77), (5,80).

Inserting these points into the calculator, the equation is:

y = 2.91x + 64.61.

2 pm is 8 hours after 6 am, hence x = 8 and the predicted temperature, in ºF, is given by:

y = 2.91(8) + 64.61 = 88 ºF.

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The five number summary are as follows:

The range of the data sets is 25.

The interquartile range of the sets is 12.

The five number summary describes where data values occur, their central tendency, variability, and the general shape of their distribution.

The five number summary includes minimum number, maximum number, median(Q₂), first quartile(Q₁) and third quartile(Q₃).

Therefore, the five number summary are as follows:

27, 30, 41, 27, 20, 22, 36, 37, 44, 45, 29, 29

Arrange the data in ascending order.

20, 22, 27, 27, 29, 29, 30, 36, 37, 41, 44, 45

There are as follows;

Therefore,

Range of the data sets = 45 - 20 = 25

Interquartile range (IQR) = Q₃ - Q₁ = 39 - 27 = 12

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Answer:

the correct answer is O. x ≤ 1

Step-by-step explanation:

the rest are wrong because of the equal to sign in inequalities

25 percent of the original price was saved during the purchase of the futon bed

The percent of the original price that is saved can be calculated as follows

The original price is $700

The new price is $525

The first step is to calculate the percentage change

= 700-525

= 175

Therefore the percent saved can be calculated as follows

= 175/700 × 100

= 0.25 × 100

= 25

Hence 25 percent of the original price was saved

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The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:

a) The payroll:

Debit Sales salaries $125,000

Debit Office salaries 35,000

Credit:

 Federal income tax withholding payable 32,300

 Medical insurance withholding payable 7,370

 Social security tax withholding payable 10,200

 Medicare tax withholding payable 2,550

 Cash $107,580

b) The employer's payroll tax expense:

Debit Payroll Tax Expense $975

Credit:

 Federal Unemployment Tax Payable $200

 State Unemployment Tax Payable $775

SUTA = 3.1% of $25,000 = $775

FUTA = 0.8% of $25,000 = $200

Sales salaries $125,000

Federal income tax withheld 32,300

Office salaries 35,000

Medical insurance withheld 7,370

Social security tax withheld 10,200

Medicare tax withheld 2,550

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Answer: I'm pretty sure its 14.

Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14

Answer:

If they all had to equal 360 when put together then the answer would be 22. If they All had to equal 180 when put together, then the answer would be 2.

Step-by-step explanation:

The directions are not quite clear but I have two answers just in case.

Answer:b B

Step-by-step explanation:or a

Answer:

152x-52

Step-by-step explanation:

The value of the expression after division is A = 100

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 2³ ( 152 / 8 ) - 52   be equation (1)

On dividing the equation by 8 in the expression , we get

On simplifying the equation , we get

A = 8 ( 19 ) - 52

On further simplification , we get

A = 152 - 52

A = 100

Therefore , the value of A is after the division is 100

Hence , the equation is A = 100

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The time taken depends upon velocity and distance so the time taken by both balls to reach the same height will be 30 seconds.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Units of velocity are given by ⇒ meter/second

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Difference between their initial height = 40 - 25 = 15 feet

It means if baseball cover x feet distance then football will cover x + 15 feet.

Now,

Time = distance covered / velocity

Since the time will be the same for both balls to meet them.

So,

Distance covered by baseball/velocity of baseball = Distance covered by football/ velocity of football

x/2.5 = (x + 15)/3

3x = 2.5x + 37.5

0.5x = 37.5

x = 75

So,

Time taken = 75/2.5 = 30 seconds.

Hence "After 30 seconds both balls will go to reach the same height".

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The rate of change of the linear function for the given table is determined as: C. 120.

A linear relationship function is represented as a straight line graph which can be expressed as a linear equation in slope-intercept form as, y = mx + b.

The rate of change of the function is represented as m, which is also the slope of the graph, and the y-intercept is b.

A linear function has a rate of change/slope which can be found using the formula:

m = y2 - y1/x2 - x1.

Given the set of table values that represents a linear function below, we can use two pairs of values to find the rate of change as follows:

(0.5, 60) = (x1, y1)

(1.5, 180) = (x2, y2)

Plug in the values

Rate of change (m) = (180 - 60)/(1.5 - 0.5)

Rate of change (m) = (120)/(1)

Rate of change (m) = 120

Therefore, the rate of change of the linear function for the given table is determined as: C. 120.

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(2,3) is a solution to the system of equations.

A collection of one or more linear equations containing the same variables is known as a system of linear equations (or linear system).

Consider the system of equations,

2x - 3y = - 5                                                                                 --------(1)

4x - 4y = - 4                                                                                 --------(2)

Multiplying equation (1) with 2.

4x - 6y = - 10

4x - 4y = - 4

Now, subtracting the above equations:

4x - 6y - ( 4x - 4y) = - 10 + 4

4x - 6y - 4x + 4y = - 6

- 2y = - 6

2y = 6

y = 3

Then,

4x - 4y = - 4

4x - 4 × 3 = - 4

4x - 12 = - 4

Adding 12 on both sides of the equation,

4x - 12 + 12 = - 4 + 12

4x = 8

x = ( 8/4 )

x = 2

Therefore, (x, y) = ( 2, 3) is a solution to the system of equations.

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Answer:

Yes

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

7/15 + 1/3

(7/15 x 1/1) (1/3 x 5/5) = ?

7/15 + 5/15 = ?

7+5/15 = 12/15

12/15 both sides divided by 3 = 4/5

therefore
7/15 + 1/3 = 4/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{15} + \dfrac{1}{3}}[/tex]

[tex]\mathsf{= \dfrac{7}{15} + \dfrac{1\times5}{3\times5}}[/tex]

[tex]\mathsf{= \dfrac{7}{15} + \dfrac{5}{15}}[/tex]

[tex]\mathsf{= \dfrac{7 + 5}{15 - 0}}[/tex]

[tex]\mathsf{= \dfrac{12}{15}}[/tex]

[tex]\mathsf{= \dfrac{12\div3}{15\div 3}}[/tex]

[tex]\mathsf{= \dfrac{4}{5}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{4}{5}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]