Solve -8a + 3a = -9a + 2x - 4 for a in terms of x.

Answer:

A(3,4), B(2,2), C(6,3), D(1,6)

Step-by-step explanation:

The coordinates you wrote out are different then what is shown on the graph, On the graph the points are A(3,2), B(2,4), C(6,3), D(1,0)

So when it comes to solving this first you need to know what you are going to reflect over, in this case its X=3 which would be a horizontal at point 3 and across.

Then you count how far away the points are from X=3 line and reflect.

Hard to explain but i hope it helps

The coordinates of A after reflecting across the line x=3 is (2,3).

Hence, the correct answer is (2,3) if it is reflected across the line x=3.

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Answer:

-300

Step-by-step explanation:

A counter-clockwise rotation is positive.

A clockwise rotation is negative.

Start at the top and go counter-clockwise 60 degrees.

Start at the top and go clockwise 300 degrees.

You end up at the same point.

It is -300 because a clockwise rotation is negative.

Here is a link with my work:

https://docs.google.com/document/d/1qWHf3acY0HKyWf8hU-_CKpbPZO214G__EGPvn53vM2I/edit?usp=sharing

Hope this helps! :)

- 300 is the same rotation as O

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given

A counter-clockwise rotation is positive.

A clockwise rotation is negative.

Start at the top and go counter-clockwise at 60 degrees.

Start at the top and go clockwise at 300 degrees.

It is -300 because a clockwise rotation is negative.

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Answer:

The next three numbers are; 2,8, and 5.

Step-by-step explanation:

Answer:

fraction 2-7

0.285714285714

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Step 1: Make a proportion

40/20 = 50/x

Step 2: Solve your proportion

2 = 50/x

2x = 50

x = 25

Answer:

try using a ruler

Step-by-step explanation:

A. We know that [tex]x[/tex] represents babysitting hours and [tex]y[/tex] represent tutoring hours.

Since she is allowed to work 20 hours per week, her babysitting hours plus her tutoring hours can't be more than 20 hours, in other words:

[tex]x+y\leq 20[/tex]

She babysits for $6 per hour and tutor for $10 per our. Since she wants to make at least $75, the sum of babysit hours and tutoring hours must be greater or equal $75, in other words:

[tex]6x+10y\geq 75[/tex]

Now we can put our inequalities together to create our system of inequalities:

[tex]x+y\leq 20[/tex]  (1)

[tex]6x+10y\geq 75[/tex]  (2)

B. To graph our system, we first need to find the equations of the lines bounding the inequalities. To do it we, are replacing the inequality sign with and equal and solving for [tex]y[/tex] in both inequalities.

For [tex]x+y\leq 20[/tex]

[tex]x+y=20[/tex]

[tex]y=20-x[/tex]

Now we can find the y and x intercepts to graph the line.

The y-intercept occurs when x = 0, so

[tex]y=20-0[/tex]

[tex]y=20[/tex]

The y-intercept has coordinates (0, 20)

The x-intercept occurs when y = 0, so

[tex]0=20-x[/tex]

[tex]-20=-x[/tex]

[tex]x=20[/tex]

The x-intercept has coordinates (20, 0)

For [tex]6x+10y\geq 70[/tex]

[tex]6x+10y=75[/tex]

[tex]10y=75-6x[/tex]

[tex]y=\frac{15}{2}-\frac{3}{5} x[/tex]

When x = 0,

[tex]y=\frac{15}{2}-\frac{3}{5} (0)[/tex]

[tex]y=\frac{15}{2}[/tex]

y-intercept = [tex](0,\frac{15}{2})[/tex]

When y = 0,

[tex]0=\frac{15}{2}-\frac{3}{5} x[/tex]

[tex]-\frac{15}{2}=-\frac{3}{5}x[/tex]

[tex]x=-\frac{15}{2}(-\frac{5}{3} )[/tex]

[tex]x=\frac{25}{2}[/tex]

x-intercept = [tex](\frac{25}{2} ,0)[/tex]

Now, since both inequalities have greater or equal/less or equal signs, the line bounding them are solid.

Now we can put it all together to create the graph of our system (check the attached picture).

The solution of the inequality is the shaded (purple) region where the two inequalities intercept.

C. As we can see in the graph the points (10, 5), (5, 8), and (2, 9) -as well as the x and y intercepts of both inequalities, are solutions of the system.

Let's choose the point (10, 5). To prove algebraically that the point is a valid solution of the system, we just need to replace the values in our system of inequalities and prove that both inequalities are true.

Since the point is (10, 5), x = 10 and y = 5

Replacing values in (1)

[tex]x+y\leq 20[/tex]

[tex]10+5\leq 20[/tex]

[tex]15\leq 20[/tex]

Since 15 is indeed less or equal to 20, the inequality is true.

Replacing values in (2)

[tex]6x+10y\geq 75[/tex]

[tex]6(10)+10(5)\geq 75[/tex]

[tex]60+50\geq 75[/tex]

[tex]110\geq 75[/tex]

Since 110 is greater or equal 75, the inequality is true.

Both inequalities are true, so (10, 5) represents a solution for the model.

Answer:

True

Step-by-step explanation:

If the line is solid, it is part of the solution; if it is dotted or dashed, it is not.  Solid is ≥ ≤ while dashed is > <

Answer:

Net Profit Margin: 38.89%

Net Profit: $70,000.00

Profit Percentage: 63.64%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To find the height of a triangle given the area and the base, rearrange the area formula and plug in the known values. For an area of 36 square centimeters and a base of 6 centimeters, the height is calculated to be 12 centimeters.

The problem given states that a triangle has an area of 36 square centimeters and a base of 6 centimeters, and asks us to find the height. To solve this, we use the area formula for a triangle, which is Area = 1/2 × base × height. We have the area and the base, so we can solve for the height.

Step-by-step calculation:

Therefore, the height of the triangle is 12 centimeters (Answer b).

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Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line

m = [tex]\frac{-1-1}{1-0}[/tex] = - 2

Answer:

Slope = -2

Step-by-step explanation:

(0,1) and (1,-1)

Slope = (-1 -1)/(1-0)

Slope = -2

Answer:

3/8 backyard in 1/4 hour

Step-by-step explanation:

Her rate is (1 backyard) / (2/3 hour), or 3/2 backyard per hour.

At this rate, after 1/4 hour, she will have mowed:

  3/2 backyard         1 hr

------------------------- * ---------  =  3/8 backyard in 1/4 hour

       1 hour                  4

Jesse will mow 0.375 or 37.5% of the yard after 1/4 hour given that she takes 2/3 of an hour to mow the entire yard.

To solve this problem, we first understand that to mow the entire yard, Jesse takes 2/3 of an hour. Thus, the proportion of the yard that Jesse mows in 1 hour is 1 / (2/3) = 1.5. So, in 1/4 of an hour, the proportion of the yard that Jesse mows is (1/4) * 1.5 = 0.375.

Therefore, Jesse will mow 0.375, or 37.5% of the yard after 1/4 hour.

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Answer:

8

Step-by-step explanation:

Answer:

It would take Mauritania about 8 weeks to save up $16.

Answer:

d. Jessica can have up to 7 toppings on her pizza

Step-by-step explanation:

We know that the inequality that gives us the number of toppings Jessica can put on her pizza is [tex]0.75(t-1)+9.50\leq 14[/tex] where [tex]t\geq 1[/tex], so, to find the number of topics we just need to solve the inequality.

Let's do it step-by-step

Step 1. Subtract 9.50 from both sides of the inequality

[tex]0.75(t-1)+9.50-9.50\leq 14-9.50[/tex]

[tex]0.75(t-1)\leq 4.50[/tex]

Step 2. Distribute 0.75 to the two terms inside the parenthesis

[tex]0.75t-0.75\leq 4.50[/tex]

Step 3. Add 0.75 to both sides of the inequality

[tex]0.75t-0.75+0.75\leq 4.50+0.75[/tex]

[tex]0.75t\leq 5.25[/tex]

Step 4. Divide both sides of the inequality bu 0.75

[tex]\frac{0.75t}{0.75} \leq \frac{5.25}{0.75}[/tex]

[tex]t\leq 7[/tex]

Jessica can put up to 7 topping on her pizza.

We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza

Answer:

126 sq units.

Step-by-step explanation:

We want the side surface area only, we'll calculate both

For the sides, we have 4 triangles with a base of 7 and a height of 9 units.

The area of a triangle is calculated with A = (b * h)/2

So, each of the sides of the pyramid has an area of:

A = (7 * 9) / 2 = 31.5 sq units

There are four sides, so total lateral area: 4 * 31.5 = 126 sq units.

The total lateral area of that pyramid is 126 sq units.

The volume of one marble is 0.04 liters.

Multiply the volume by the number of marbles:

50 x 0.04 = 2 liters.

Add that to the volume of water:

33 +2 = 35 liters

The volume of the tank is 35 liters.

Part 2:

Subtract the volume of water from the volume of the tank:

35 - 20 = 15 liters.

Now divide the remaining volume by the volume of a marble:

15 / 0.04 = 375 marbles are needed.

To find the price per ounce of a 3-pound bag of sugar costing $9.12, multiply the pounds by 16 to get the total ounces (48), then divide the cost by the total ounces to get $0.19 per ounce.

To calculate the price per ounce of sugar for a 3-pound bag costing $9.12, first determine the total number of ounces, since there are 16 ounces in a pound. Multiplying 3 pounds by 16 ounces per pound gives us 48 ounces. Next, to find the price per ounce, you divide the total cost by the total number of ounces ($9.12 ÷ 48 ounces).

Performing the division gives us the cost per ounce of sugar: $9.12 divided by 48 ounces equals $0.19 per ounce.

Answer:

The mean for december is higher than januarys mean.

Step-by-step explanation:

Answer:

9π

Step-by-step explanation:

3²π = 9π

ANSWER

28.26 units square.

EXPLANATION

The area of a circle is given by

[tex]A = \pi \: {r}^{2} [/tex]

The radius of the circle is given as 3 units.

We substitute r=3 and π=3.14 into the formula to obtain:

[tex]A = 3.14 \: \times {3}^{2} [/tex]

[tex]A = 28.26sq. \: units[/tex]

Therefore the area of the circle 28.26 units square.

here u go, see if u understand

Answer:

23.3 repeating

Step-by-step explanation:

23.333 or 23 1/3

Multiply (5/3)(2/3) = 10/9 now multiply that by 21 and you get 23.333 or 23 1/3 or 70/3

Answer:

73.4 units is the answer for the figure

Answer:

A. 73.4

Step-by-step explanation:

I jyst did the test lol

Answer: third option

[tex]y = \frac{4}{x}[/tex]

Step-by-step explanation:

It is said that two variables X and Y vary inversely if when the variable x increases then the variable and decreases.

The equations of inverse variation have the following form:

[tex]y = \frac{k}{x}[/tex]

Where k is the constant of variation

To know which of the equations varies inversely identify those that have the form

[tex]y = \frac{k}{x}[/tex]

You can see that the correct option is the third option

[tex]y = \frac{4}{x}[/tex]

Answer:

It's C.

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{8}[/tex] x²

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x-0)^2+(y-2)^2}[/tex] = | y + 2 |

Square both sides

(x - 0)² + (y - 2)² = (y + 2)² ← expand parenthesis

x² + y² - 4y + 4 = y² + 4y + 4 ( subtract y² + 4y + 4 from both sides )

x² - 8y = 0 ( subtract x² from both sides )

- 8y = - x² ( divide both sides by - 8 )

y = [tex]\frac{1}{8}[/tex] x²

Answer:

25 seconds

Step-by-step explanation:

Skydiving.  

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0  

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

Answer:

$21.25

Step-by-step explanation:

$500 * (1-.15)=$425 Sales Price

$425 * .05= $21.25 Commission

Answer:

"between 32 and 37"

Step-by-step explanation:

You can clearly look at the number line and see that each small line represents 1 unit.

Look at the box.

The left side of the box coincides with  2 units after 30, so 30 + 2 = 32

THe right side of the box coincides with  2 units after 35, so 35 + 2 = 37

Hence, the box part of the box plot contains all the values between 32 and 37

First we have to determine how many chairs there are total. To do this multiply 9 by 28

9*28 = 252

That means you have a total of 252 chairs. Since we can assume that every person who buys a $4 ticket will only sit in one chair, we can say that if all the seats are filled then 252 people bought a ticket

To find the total price multiply the total chairs by the cost per ticket (or chair, which ever way you want to think of it as)

252 * 4 = 1008

You would make $1008

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The value of the expression would be 11.

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

 11

Step-by-step explanation:

Let the number is n

Then as per statement of the question

"Eight more than three times the difference of four and a number"

Expression will be [3(4-n)+8]

Now for n = 3

Value of the expression will be [3(4 - 3 ) +8]

                    = [ 3 × 1 + 8 ]

                   = 11

Answer:

The central angle is [tex]40\°[/tex] or [tex]\frac{2}{9}\pi\ radians[/tex]

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=30\ cm[/tex]

substitute

[tex]A=\pi (30)^{2}[/tex]

[tex]A=900\pi\ cm^{2}[/tex]

step 2

Find the central angle in degrees for a sector with area [tex]100\pi\ cm^{2}[/tex]

Let

x----> the measure of the central angle in degrees

Remember that the area of the circle subtends a central angle of 360 degrees

so

using proportion

[tex]\frac{900\pi}{360}=\frac{100\pi}{x}\\ \\x=360*100\pi/900\pi \\ \\x=40\°[/tex]

step 3

Find the central angle in radians for a sector with area [tex]100\pi\ cm^{2}[/tex]

Let

x----> the measure of the central angle in radians

Remember that the area of the circle subtends a central angle of [tex]2\pi[/tex] radians

so

using proportion

[tex]\frac{900\pi}{2\pi}=\frac{100\pi}{x}\\ \\x=2\pi*100\pi/900\pi \\ \\x=\frac{2}{9}\pi\ radians[/tex]

Answer:Quadratic because I think so and because it has fours in it so yeah good luck :p

Answer:

Linar

Step-by-step explanation:

it only has one variable

Answer:

Weight of 4th graders, weight of 8th graders

Step-by-step explanation:

Got it right on IM

Plot 1 represents the weight of 4th grade students in pounds and plot 2 represents the weight of 8th grade students in pounds.

A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.

Given two dot plots in number line.

Both of the plots are using the same number line.

The values of numbers on the number line increases as we move towards right.

So the values market in the first plot is smaller values than that in the second plot.

If the weight of notebooks in kilogram is plotted in second plot, then the number of notebooks corresponding to each number in the number line should be same. But this is not the case, as in pot 1, there are 3 notebooks in the first value, but only 1 notebook in plot 2 as the first value.

Heights of skyscrapers can't be compared with ounces of water in bottle.

Weights of 3rd grade boys and girls will not be at this distance far.

So the option is c.

Hence the third option is the one representing the plots.

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