Is the following relation a function?
Yes
No

Answer:

Jasmine ran last week 37.2 miles

Step-by-step explanation:

Let

x ----> number of miles Rob ran last week

y ----> number of miles Jasmine ran last week

we know that

x=y-27.2 ----> equation A

x=10 ----> equation B

Substitute equation B in equation A and solve for y

10=y-27.2

y=10+27.2

y=37.2 miles

Answer:

Step-by-step explanation:

Just to keep the computer happy by not having to figure out rounding answers that involve square roots and other problem numbers. I've chosen numbers that should work out evenly. And you should be able to draw the trapezoid.

Givens

H = 14

a = 23

b = 25

Area = 336

Formula

Area = (a + b)*h/2

Solution

Area = (23 + 25)*14/2

Area = 48 * 7

Area = 336

Note if a + b = 48 any values for a and b will work.

Answer:

([tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex]

Step-by-step explanation:

Given the 2 equations

- 2x = 16 - 8y → (1)

x + 4y = 25 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = 25 - 4y → (3)

Substitute x = 25 - 4y into (1)

- 2 (25 - 4y) = 16 - 8y ← distribute left side

- 50 + 8y = 16 - 8y ( add 8y to both sides )

- 50 + 16y = 16 ( add 50 to both sides )

16y = 66 ( divide both sides by 16 )

y = [tex]\frac{66}{16}[/tex] = [tex]\frac{33}{8}[/tex]

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × [tex]\frac{33}{8}[/tex] )

  = [tex]\frac{50}{2}[/tex] - [tex]\frac{33}{2}[/tex] = [tex]\frac{17}{2}[/tex]

Solution is ( [tex]\frac{17}{2}[/tex], [tex]\frac{33}{8}[/tex] )

To solve the given system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation. The solution to the system is x = 17 and y = 6.25.

To solve the system of equations using substitution, we need to solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for x:

-2x = 16 - 8y

Adding 2x to both sides, we get:

0 = 16 - 8y + 2x

Now, we solve the second equation for x:

x + 4y = 25

Substituting the expression for x into the second equation, we get:

16 - 8y + 2x + 4y = 25

Simplifying the equation:

-4y + 16 + 25 = -2x + 2(25)

Combine like terms:

41 - 4y = 50 - 2x

Now, let's isolate x:

-2x = 41 - 4y - 50

Simplifying the equation:

-2x = -4y - 9

Dividing by -2, we get:

x = 2y + 4.5

Now we have the expression for x, which we can substitute into either of the original equations to find the value of y. Let's substitute it into the first equation:

-2(2y + 4.5) = 16 - 8y

Simplifying the equation:

-4y - 9 = 16 - 8y

Adding 8y to both sides:

4y - 9 = 16

Adding 9 to both sides:

4y = 25

Dividing by 4, we get:

y = 6.25

Now that we have the value of y, we can substitute it into the expression for x:

x = 2(6.25) + 4.5

Simplifying the expression:

x = 12.5 + 4.5

Simplifying further:

x = 17

So, the solution to the system of equations is x = 17 and y = 6.25.

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Answer:

A

Step-by-step explanation:

Given the graphs of f(x) and g(x) then the solution to f(x) = g(x) are at the points of intersection of the 2 functions.

That is at the points with x- coordinates

x = - 1 and x ≈ 5.4 → A

The solutions to the equation f(x)=g(x) is x=-1, 5.4

WHAT IS FUNCTIONS?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

the graphs of f(x) and g(x) then the solution to f(x) = g(x) are at the points of intersection of the 2 functions.

That is at the points with x- coordinates

x = - 1 and x ≈ 5.4

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Answer:

You can find the perpendicular bisector of MA and then plug in the point.

Step-by-step explanation:

To find the perpendicular bisector of MA, you have to go through a 4 step process.

1. Find the midpoint of MA

2. Find the slope of MA

3. Find the perpendicular slope to the slope of MA.

4. Substitute in your midpoint into the equation and solve for the y-intercept.

Plug in your point into the equation and see if it works out.

You'll have to do the actual work yourself though!

The point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.

The perpendicular bisector on a line segment is the line which divides the line in two equal parts and intersect the line at 90 degrees.

The line segment MA has the end points as M(−2, 4) and A(−6, −2). The midpoint of this line segment is,

[tex]p=(\dfrac{-2+(-6)}{2},\dfrac{4+(-2)}{2})\\p=(\dfrac{-8}{2},\dfrac{2}{2})\\\\p=(-4,1)[/tex]

The slope of this line segment MA is,

[tex]m=\dfrac{-2-4}{-6-(-2)}\\m=\dfrac{-6}{-4}\\m=\dfrac{3}{2}[/tex]

The slope of MA is 3/2. Thus, the slope of a line segment which is perpendicular to this is -2/3.

Thus, the point which satisfy the equation of line having the slope -2/3 and point (-4,1), lies on the perpendicular bisector of MA.

Learn more about the perpendicular bisector on a line here:

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Oops wrong one man I’m sorry

Answer: The function would be,

[tex]P(x)=50000(1.04)^x+35000(1.055)^x[/tex]

The approximate total profit after 4 years is $ 97341.65.

Step-by-step explanation:

Given,

For branch A,

First year profit = $ 50,000,

And, the profit increased by 4% every year.

Thus, the profit of branch A after x years,

[tex]P_1=50000(1+\frac{4}{100})^x[/tex]

[tex]\implies P_1=50000(1.04)^x[/tex]

Also, for branch B,

First year profit = $ 35,000,

And, the profit increased by 5.5% every year.

Thus, the profit of branch B after x years,

[tex]P_2=35000(1+\frac{5.5}{100})^x[/tex]

[tex]\implies P_2=35000(1.055)^x[/tex]

Hence, the total profit,

[tex]P=P_1+P_2[/tex]

[tex]\implies P(x)=50000(1.04)^x+35000(1.055)^x[/tex]

Which is the required function.

After 4 years, x = 3,

Therefore, the total profit after 4 years would be,

[tex]\implies P(3)=50000(1.04)^3+35000(1.055)^3=\$ 97341.648125\approx \$ 97341.65[/tex]

Answer:

$17,930.12

Step-by-step explanation:

A suitable financial calculator can tell you the unpaid balance is $17,930.12 after 60 monthly payments of $149.

___

It seems likely the formulas and examples in your reference material will be helpful, too.

Answer: $17,930.12

Step-by-step explanation:

confirmed

Hello There!

Great Question!

To calculate the area of a rectangular prism, you would multiply the length, the width, and the depth. As we want to measure this in cubic feet, we should convert all of the measurements to feet to begin with.

How wide is the garden? (either 7 or 8 feet)

How long is the garden? (Whichever of 7 or 8 wasn’t used)

How deep is this garden? 6 inches.

Well, that’s not feet, right?

How many inches are in a foot? 12.

Divide 6 by 12, what is the answer? .5.

Answer:

11

Step-by-step explanation:

We are given the following expression which we are to solve:

[tex] - 2 9 + 4 0 [/tex]

Since there are no brackets, multiplication or division signs so we will solve this from left to right starting from the negative sign.

Adding 40 to -29 or subtracting 29 from 40 is the same so we get:

[tex] - 2 9 + 4 0 = 1 1 [/tex]

Step-by-step explanation:

The sample space is the list of possible combinations:

H1, H2, H3, H4, T1, T2, T3, T4

Combinations that include a 2 are:

H2, T2

Add by positive 3 for each of the numbers

-6+3=-3

-3+3=0

0+3= 3

3+3= 6

Answer is 6

ANSWER

The next term is 6.

EXPLANATION

The given arithmetic sequence is -6,-3,0,3,

There is a constant difference of 3.

That is,

-3--6=-3+6=3

This means that, we need to add 3 to the previous terms to get the subsequent terms.

To get the next term after 3, we add 3 to obtain 3+3=6

Therefore the next term of the sequence is 6.

Answer: Option A

[tex]P = 5.3 + 0.09125t[/tex]

Step-by-step explanation:

Note that for the initial year, 1990, the population was 5.3 billion.

The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.

In year 2 there will be 0.09125 * 2 billion people

In year 3 there will be 0.09125 * 3 billion people

In year 4 there will be 0.09125 * 4 billion people

In year t there will be 0.09125 * t billion of people

So the equation that models the number of people that there will be as a function of time is:

[tex]P = P_0 + rt[/tex]

Where [tex]P_0[/tex] is the initial population

[tex]P_0 = 5.3[/tex] billion

r is the rate of increase

[tex]r = 0.09125[/tex] billion per year

finally the equation is:

[tex]P = 5.3 + 0.09125t[/tex]

The correct answer is option A.

Answer: x=11.67

Step 1

Use the following equation to find x. We can use this equation because Triangle 1 (triangle within triangle ABC) and Triangle 2 (triangle ABC) are proportional and we can use the system of equations below to create and equation.

[tex]\frac{x}{9}=\frac{x+5}{12}[/tex]

Step 2

We can then use the equation below by cross multiplying the previous equation in step 1.

12x= 9x+35

Step 3

Then solve the equation to find x!

12x=9x+35

3x=35

x=11.67 (rounded to the nearest hundredth)

I found this, Hope this helps you.

A stem-and-leaf plot is a graphical representation of data that shows the distribution of values in a data set. It is created by writing the stem values in ascending order on the left side of the vertical line and the leaf values next to the corresponding stem value, in increasing order.

A stem-and-leaf plot is a graphical representation of data that shows the distribution of values. It is especially useful when dealing with small to medium-sized data sets. Here are the steps to create a stem-and-leaf plot:

For example, if you have the following data set: 12, 15, 19, 22, 23, 28, the stem-and-leaf plot would look like this:

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Answer: $450,000

Step-by-step explanation:

Answer: $450,000

Step-by-step explanation:

We know that Jerome's earnings were from $150,000

And we know that this was 1/3 of the company's overall earnings.

Then let's call "x" to the company's general earnings

So a third multiplied by x must equal Jerome's earnings

[tex]\frac{1}{3}x=150,000[/tex]

Now we solve the equation for the variable x

[tex]x=150,000*3\\\\x= \$450,000[/tex]

Finally, the general earnings of the company were $450,000

Answer:

[tex]h(17)=\sqrt{17\times17}=\boxed{17}[/tex]

Answer:

3x² - 9x + 5

Step-by-step explanation:

Given

(5x² - 3x + 4) - (2x² + 6x - 1)

Distribute the first parenthesis by 1 and the second by - 1

= 5x² - 3x + 4 - 2x² - 6x + 1 ← collect like terms

= (5x² - 2x²) + (- 3x - 6x) + (4 + 1)

= 3x² - 9x + 5

90 degrees is a right angle

Answer:

122

Step-by-step explanation:

The average of her two scores is calculated by the sum of her two scores divided by 2.

[tex]\boxed{\text{Average}=\frac{\text{sum of data}}{\text{number of data sets}} }[/tex]

Total score= 116(2)

Total score= 232

Total score= score of 1st game +score of 2nd game

Substituting value of first score and total score:

110 +score of 2nd game= 232

Subtract 110 from both sides:

score of 2nd game

= 232 -110

= 122

Additional:

To learn more about average, do check out the following!

Step-by-step explanation:

hope it helps you!!!!!!!!!!

Answer:

The answer is C) 54 pounds

Step-by-step explanation:

because im batman

Answer:

w=4

Step-by-step explanation:

adding a negative is like subtracting so w=11-7

Answer:

w = 4

Step-by-step explanation:

w = 11 + (-7)

w = 11 - 7

w = 4

#17: Domain: [−4,∞),{x|x≥−4}

Range: [−2,∞),{y|y≥−2}

#18 g(2)=4(2)+2

g(2)=10

f(10)=3(10)^2-2

f(10)=298

For this case we have:

Question 1:

We have the following functions:

[tex]f (x) = 2x-1\\g (x) = x ^ 2-2[/tex]

We must find (g_ {0} f) (x).

By definition of composition of fusions we have to:

[tex](g_ {0} f) (x) = g [f (x)]\\(g_ {0} f) (x) = g [2x-1]\\(g_ {0} f) (x) = (2x-1) ^ 2-2\\(g_ {0} f) (x) = 4x ^ 2-2 (2x) + 1-2\\(g_ {0} f) (x) = 4x ^ 2-4x-1[/tex]

Answer:

[tex](g_ {0} f) (x) = 4x ^ 2-4x-1[/tex]

Question 2:

For this case we have a function of the form[tex]y = f (x)[/tex], where: [tex]f (x) = \sqrt {x + 4} -2[/tex]

We must graph the given function.

By definition, the domain of the function will be given by the values for which the function is defined. The function is not defined when the root is negative, that is to say for values of "x" less than -4. Then, the domain is:

[-4, ∞)

For its part, the range is the set of values that correspond to the domain. When replacing the values from -4 to infinity we have the following range:

[-2, ∞)

Answer:

See attached image

Domain: [-4, ∞)

Range: [-2, ∞)

Question 3:

For this case we have the following functions:

[tex]f (x) = 3x ^ 2-2\\g (x) = 4x + 2[/tex]

We must find, (f + g) (x):

By definition, we have to:

[tex](f + g) (x) = f (x) + g (x)\\(f + g) (x) = 3x ^ 2-2 + (4x + 2)\\(f + g) (x) = 3x ^ 2-2 + 4x + 2\\(f + g) (x) = 3x ^ 2 + 4x[/tex]

Now, we must find [tex](f + g) (2):[/tex]

[tex](f + g) (2) = 3 (2) ^ 2 + 4 (2)\\(f + g) (2) = 3 (4) +4 (2)\\(f + g) (2) = 12 + 8\\(f + g) (2) = 20[/tex]

Answer:

[tex](f + g) (2) = 20[/tex]

Answer: 146 is 500% of 29.2

Step-by-step explanation:

100%/x%=29.2/146

(100/x)*x=(29.2/146)*x       - we multiply both sides of the equation by x

100=0.2*x       - we divide both sides of the equation by (0.2) to get x

100/0.2=x  

500=x  

x=500

now we have:  

146 is 500% of 29.2

For this case we propose a rule of three:

146 ----------> 100%

29.2 ---------> x

Where the variable "x" is the percentage that represents 29.2 of 146.

[tex]x = \frac {29.2 * 100} {146}\\x = \frac {2920} {146}\\x = 20[/tex]

So, 29.2 is 20% of 146

Answer:

29.2 is 20% of 146

Answer: d

Step-by-step explanation:

Answer

-4-(-10)

explain

-4+10=6

the dude above me is correct

2x ≤ 30

You must isolate x. To do this divide 2 to both sides

2x/2 ≤ 30/2

x ≤ 15

x is less then or equal to 15

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: x ≤ 15

Step-by-step explanation:

Because...

2x ≤ 30

[tex]\frac{2x}{2} \leq \frac{30}{2}[/tex]

so after dividing 30 by 2 you get 15.

* Therefor, the answer is x ≤ 15

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer:

3,4,5 are congruent angles

Step-by-step explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

Answer:

#3 is congruent by SAS; #4 is congruent by SSS; #5 is congruent by AAS; #6 is congruent by ASA

Step-by-step explanation:

For #3, there are sides marked in each so we know we have 2 congruent sides, but the angle where the triangles meet are vertical angles.  So that congruency statement is SAS

For #4, there are again two sides marked in each triangle giving us 2 congruent sides, but since the two triangles share that one side, that gives us the third side for SSS

For #5, we have two angles marked congruent between the two triangles and they also share a side, so AAS is the congruency statement for that one

For #6, again 2 congruent angles and a shared side between, so ASA on that one.

You're in geometry now, yes?

One is going up and then going down and then going up and all the way up. You’re welcome

Answer:-250

Step-by-step explanation: