Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago.

If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have? (Only 1 choice of answer)

A.
x + 5 = (5 − x) − 5, which has one solution

B.
x + 5 = (x + 5) − 5, which has infinitely many solutions

C.
x + 5 = (x + 5) − 5, which has no solution

D.
x + 5 = (5 − x) − 5, which has infinitely many solutions

E.
(x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions

Answer: I'm assuming you just need to graph each ordered pair without doing anything else to them. The first number in the ordered pair is called the x-intercept, the second number is the y-intercept. To graph an ordered pair you need to count the x-intercept number and go to that number on the x-axis (horizontal), do the same for the y-intercept on the y-axis (vertical) and make a point/dot. Repeat this for the other two ordered pairs.

Answer,

Determine the x-intercept and y-intercept and plot on the graph.

Explanation,

If you already have your three ordered pairs simply start off by determining the x and y intercepts. After you have done this you can plot the x intercept on the x-axis and the y intercept on the y-axis. Repeat for the other two as well.

Here is an example, (5,7)

Our x intercept is (5) and our y intercept is (7).  

You should have a graph that looks somewhat like the first picture.

Then you will find where the (5) goes which is on the x-axis. (The x-axis is the horizontal line)

Then you will find where the (7) goes which is on the y-axis. (The y-axis is the vertical line.)

The second picture shows the plotted graph.

Answer:

9

Step-by-step explanation:

for the expression y(x+x)+3, we can first simplify:

y(2x)+3

then we can substitute 1 for x and 3 for y:

3(2*1)+3

multiply inside the parenthesis:

3*2+3

multiply 3 and 2:

6+3

add 3:

9

Therefore, this evaluates to 9

y( x + x) + 3, where x = 1 and y=3

Plug 1 in for x and 3 in for y like...

3( 1 + 1) + 3

To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses

3( 1 + 1) + 3

3(2) + 3

Exponent

There are none so go on to the next step

Multiplication

3(2) + 3

6 + 3

Division

There are none so go on to the next step

Addition

6 + 3

9

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

A

Step-by-step explanation:

To evaluate g(1) substitute x = 1 into g(x), that is

g(1) = 1² + 1 = 1 + 1 = 2 → A

Answer:

the first one

Step-by-step explanation:

The answer will be 238,900 miles.

If you round off 238, 854 to the nearest hundreds, you get

238,900 in miles.

Hope this helps!!!

Mark Brainliest!!!

Answer

Average/Mean: 13.7 pools

Step-by-step explanation:

When asked to find the average number of anything, you are trying to find the mean.

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  

To calculate it:  

• add up all the numbers,  

• then divide by how many numbers there are.

Answer:

B if you mean (-2)^(-3)

Step-by-step explanation:

(-2)-3=-5

But based on the answers I think you meant to write (-2)^(-3)

which means 1/(-2)^3

So we have 1/(-2*-2*-2)=1/-8 or -1/8

Answer:

B. -1/8.

Step-by-step explanation:

I guess you mean (-2)^-3

= 1 / (-2)^3

= 1 / -8

= -1/8.

Answer:

Step-by-step explanation:

Given that the park is 6 miles due west of your house, and the library is 11 miles north of your house.

Thus the park and library forms the legs of a right triangle with shortest distance being the hypotenuse (provided there are no buildings in between)

We can use pythagoren theorem to find the shortest distance i.e. hypotenuse.

Shortest distance^2 =[tex]\sqrt{6^2+11^2} =\sqrt{197}[/tex]

We find that square root is 14.03

Thus shortest distance is 14 miles.

The shortest distance from the park to the library is 12.53 miles.

It is the measure of the length between the two points. It is a scalar quantity.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

The park is 6 miles due west from your house.

And the library is 11 miles north of your house.

The shortest distance from the park to the library.

Perpendicular P = 11

Bas B = 6

We know the Pythagoras theorem.

H² = P² + B²

H² = 11² + 6²

H² = 121 + 36

H² = 157

H = 12.53

Thus, The shortest distance from the park to the library is 12.53 miles.

More about the distance link is given below.

https://brainly.com/question/989117

Answer:

A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: Option A

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

Answer:

the angle of depression is 45 degrees

Step-by-step explanation:

120(150)

angle theorem

points postulate

90/2=45

please mark brainliest and give thanks

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+2}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Answer:

Yes it is equivalent.

Step-by-step explanation:

In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:

6f-1= 2f+4f+2-3

When you simplify this you´ll end up with the next equation:

6f-1= 6f -1

In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.

Answer:

⅓, -1⃣ = x

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer: 64%

Step-by-step explanation:

You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.

Answer:  [tex]\bold{y=\dfrac{59}{34}}[/tex]

Step-by-step explanation:

   5x + 2y = 7   ⇒   2(5x + 2y = 7)   ⇒   10x +  4y  =  14

  -2x + 6y = 9  ⇒   5(-2x + 6y = 9)  ⇒  -10x + 30y = 45

                                                                         34y = 59

                                                                       ÷34   ÷34

                                                                             y = 59/34

Answer:

y=59/34

Step-by-step explanation:

Answer:

Multiply by three for every number 1*3 =3 3*3=9 9*3=27

Step-by-step explanation:

Common ratio of the geometric sequence is 3.

A geometric sequence is a sequence in which the ratio of two consecutive terms is a fixed ratio.

Given,

Geometric sequence: 1, 3, 9, 27

The ratio of second and first term = 3/1

                                                        = 3

Similarly, the ratio of third and second term = 9/3

                                                                         = 3

Hence, the common ratio of the geometric sequence is 3.

To learn more about geometric sequence visit:

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Answer:

a= 2, b= 3, c= 7

Step-by-step explanation:

Given the quadratic equation:

Quadratic equation in general form is:

Comparing the two above we can get following coefficients:

a= 2

b= 3

c= 7

A= 4

B= 12

C= 9

Theese are correct

Answer:

C

Step-by-step explanation:

By observation, and inspecting the 2 given points closely, we can immediately see that both points have  y = -2 as common y-ordinates .

This means that the horizontal  line y =-2 joins these 2 points.

Answer C is correct.

Answer:

C

Step-by-step explanation:

use slope formula and slope-intercept form Y=mx=b

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-2}x+\stackrel{\stackrel{y}{\downarrow }}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}m=(y₂-y₁) / (x₂-x₁)[/tex]

It is given that:

A line with slope –2 and y-intercept 4.

The linear equation in one variable can be made:

As we know,

The standard equation of the line is:

y = mx + c

Here m is the slope and c is the y-intercept.

m = -2

c = 4

y = -2x + 4

Thus, the equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

Learn more about the slope here:

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Answer:

The answer is A. C, and F i took a test and i got it right on edgnuity sis  hope this helps

Answer:

You will have approximately  

4 , 049.58   in your account in 10 years

Step-by-step explanation:

To calculate the future value of $3000 deposited in an account with an 8% annual interest rate compounded monthly over 10 years, use the compound interest formula [tex]A = P(1 + r/n)^{(nt)}[/tex], resulting in approximately $6,658.93.

You want to find out how much money you will have in an account after 10 years when you deposit $3000 with an annual interest rate of 8% compounded monthly. To solve this, you can use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the time the money is invested or borrowed for, in years

Given the data:

P = $3000

r = 0.08 (since 8% = 0.08 when converted to a decimal)

n = 12 (monthly compounding)

t = 10 years

You can now calculate:

A = 3000(1 + 0.08/12)¹²⁰

Then:

A ≈ 3000(1 + 0.0066667)¹²⁰

A ≈ 3000(1.0066667)¹²⁰

A ≈ 3000(2.21964)

A ≈ $6,658.93

Hello!

Answer:

[tex]\boxed{A=7}\checkmark[/tex]

The answer should have a positive sign.

Step-by-step explanation:

First, you add by 16 from both sides of an equation.

[tex]8a-16+16=40+16[/tex]

Then, simplify.

[tex]40+16=56[/tex]

[tex]8a=56[/tex]

Therefore, divide by 8 from both sides of an equation.

[tex]\frac{8a}{8}=\frac{56}{8}[/tex]

Finally, you simplify and solve to find the answer.

[tex]56\div 8 =7[/tex]

[tex]\boxed{x=7}[/tex], which is our correct answer.

I hope this helps you!

Have a great day! :)

-Charlie

To solve for a you must isolate it, meaning that a must be the only thing on the left side of the equation.

To do this first add 16 to both sides (what you do on one side you must do to the other). Since 16 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

8a + (- 16 + 16) = 40 + 16

8a + 0 = 56

8a = 56

Next divide 8 to both sides to finish isolating a. Since 8 is being multiplied by a, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the left side and bring it over to the right side.

8a/8 = 56/8

1a = 7

a = 7

Check:

8(7) - 16 = 40

56 - 16 = 40

40 = 40

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

7y - 3 / x  

Step-by-step explanation:

So , first you have to Simplify y/x

 ( 0 -  3/x ) +  ( 7   •    y/x )

Then simplify 3/x

 ( 0 -  3/x )  +  7y/x

Then add the fractions which have a common denominator

(Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible)

-3 + 7y/x  =  7y - 3/x  

you'll get your answer as : 7y-3 / x                        

Answer:

[tex]\frac{7y-3}{x}[/tex]

Step-by-step explanation:

Since the fractions have a common denominator of x, combine them by adding the numerators and leaving the denominator, that is

[tex]\frac{-3+7y}{x}[/tex] = [tex]\frac{7y-3}{x}[/tex]

[tex](g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330[/tex]

Answer:

W =2.6816

Step-by-step explanation:

Is means equals and of means multiply

W = 8% * 33.52

Change to decimal form

W = .08 * 33.52

W =2.6816

Answer:

(-infinity, -1)

Step-by-step explanation:

If you draw it, it should be easy to see. The vertex is (-1,-7).

There has been no reflection meaning the absolute function is open like the parent is.  

So the absolute value function is decreasing on (-inf,-1)

And increasing on (-1,inf)

The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given function,

f(x) = |x|

The plot of this has been graphed below,

Now,g(x) |x + 1| - 7

Since x → x + 1 thus the function has shifted left -1 and 7 units down.

So, the interval at which it is decreasing is (-∞,-1).

Hence "The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1)".

To learn more about the transformation of graphs,

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Answer:

The function of the graph is y = 3 cos (4x) ⇒ answer A

Step-by-step explanation:

- If the equation is y = A cos (B x)  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

  divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

* Lets look to the graph

- The maximum value is 3 and the minimum value is -3

∵ The height from the maximum point to the minimum point is

   3 - (-3) = 3 + 3 = 6

∴ The amplitude is 6/2 = 3

∵ A is the amplitude

∴ A = 3

- The distance between two consecutive peaks is π/2

∵ The period is the distance from one peak to the next peak

∴ The period = π/2

∵ The period = 2π/B

∴ 2π/B = π/2 ⇒ divide both sides by π

∴ 2/B = 1/2 ⇒ by using cross multiplication

∴ B = 4

- Lets write the form of the function

∵ y = A cos (Bx)

∵ A = 3 and B = 4

∴ y = 3 cos (4x)

* The function of the graph is y = 3 cos (4x)

Answer:A

Step-by-step explanation:

The formula is 2pir, so you divide by the 2, the pin the pi, then you have the radius, r.

for this question, it ask you to draw out.

j + 6 ≥ 7

j ≥ 7 - 6

j ≥ 1

How to draw it:

1. draw a Solid point on the number"1".

2. draw a small vertical line on the top of the point.

3. draw a long horizontal line to number "1" 's right side, and add an arrow in the end of the line.

First bring 6 to the right side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

j + 6  ≥  7

j + 6 - 6  ≥  7 - 6

j + 0  ≥  1

j  ≥  1

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

j  ≥ 1  

aka j is greater then or equal to one

This means that the graph will have an colored circle and the arrow will go to the right of 1. (look at the image below)

Hope this helped!

~Just a girl in love with Shawn Mendes