Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answer:

8x^2-8.76x+2.92

Step-by-step explanation:

Factor using FOIL and then simplify

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.

   [tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]

Thus c equals 39.

Hope that helped!

Answer:

Step-by-step explanation:

Solve for CF

CF = CE - FE

CF = 34 - 18 = 16

Bisectors Cut the base line they are connect to in a proportion.

40/CF = x/18

40/16 = x/18              Cross Multiply

16x = 40 * 18             Combine the right

16x = 720                  Divide by 16 on both sides

16x/16 = 720/16

x = 45

Answer:

x = [tex]\sqrt{15}[/tex]

Step-by-step explanation:

Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.

Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8

Using Pythagoras' identity, then

x² + 7² = 8²

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take square root of both sides )

x = [tex]\sqrt{15}[/tex]

Answer:

that is the orgin which means the middle.

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

hoping that it will help you

Answer: A

Step-by-step explanation:

Answer:

goes in order like...

∠3

definiton of angle bisector

∠1

transitive property of congruence

Step-by-step explanation:

i took the test and got it right

Answer:

N=32

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

32-18=14

Answer:

Step-by-step explanation:

The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"    

given that Mike is paid $5 per hour

and that he only works 2 hours per week

that means in a week he earns= 5*2= $10

Also, given that mike has a fee of $84 to pay

it would take him 84/10= 8.4weeks

it would take him 8.4weeks to pay the money

Answer:

31,168 miles

Step-by-step explanation:

3,896 x 8 = 31,168

Answer:

3300 m²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²

Area of a square = side length x side length

⇒ area of the square = 30 x 30 = 900 m²

Surface area of square-base pyramid = area of 4 triangles + area of square

⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²

Answer:

its a right triangle

Step-by-step explanation:

[tex]50^{2} = 30^{2} + 40^{2}[/tex]

This is the same as writing the fraction [tex]\frac{24}{7}[/tex]

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]

The horizontal side of the right triangle is 7 units long.

--------------------

The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]

The value for the tan [tex]\theta[/tex]  is 24/7.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

P = 24

Now, Base, B= √H² - P²

B= √25² - 24²

B= √625- 576

B= 7

Now, tan [tex]\theta[/tex] = P/ B

                  = 24/ 7

Hence, the value for the tan [tex]\theta[/tex]  is 24/7.

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Answer:

$9

Step-by-step explanation:

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]

-5-(-2) is the same as -5+2:

[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]

Hence, the slope of the given line is

[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\tt{An~Amiable~Helper}[/tex]

The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope of line passing through the points (1, -2) and (3, -5)

m= -5-(-2)/3-1

=-5+2/2

=-3/2

Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

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Answer:

the mean

Step-by-step explanation:

mean is calculated average

Answer:

A: the mean

Step-by-step explanation:

Sorry for this very late response, but if anyone wasn't sure if answer A is correct, it is. I can confirm this because I just took the test, I hope I could help! (:

Hey there!

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.

In this case, the slope is 1/6.

First, flop it over:

6/1 (or just 6)

Then, change its sign:

-6

Now, the line passes through the point (0, 5)

The reason 5 is highlighted is because it's the y-intercept of 5.

So we have the Slope & the Intercept.

See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)

In this formula, m stands for the slope, and b stands for the y-intercept.

In this case, -6 is the slope, and 5 is the y-intercept.

Hence, the equation is

[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\text{An amiable teenager }[/tex]

Answer:

We can't see the planes

Step-by-step explanation:

Answer:

Put the question up bruh

Step-by-step explanation:

The total point is an illustration of arrangements

There are 6 different numbers that could the total points scored by Jordan

The different number (n) that can represent the total point is calculated as:

n = 2 points + 3 points + 1

Remove the units

n = 2 + 3 + 1

Evaluate the sum

n = 6

Hence, there are 6 different numbers that could the total points scored by Jordan?

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i didn't know the answer sorry

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

Answer:

615.44

Step-by-step explanation:

If the diameter is 28, that means the radius is 14.

The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44

The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

We are given that;

Diameter=28cm

Now,

In this case, the diameter of the circle is 28 cm, so the radius is half of that:

r = 28 / 2 = 14 cm

Plugging this value into the formula, we get:

A = π × 14²

Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:

A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²

Or

A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²

Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.

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Answer:

13.8

Step-by-step explanation:

If Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;

XY/YZ = 1/4

cross multiply;

YZ = 4XY

Also, if the coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3

XY = 2.5

YZ = 4(2.5)

YZ = 10

Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y

coordinate of Z = 10+3.8

coordinate of Z = 13.8

Answer:

7 cm

Step-by-step explanation:

Pls mark me as brainliest if its correct and learn wrll

If x = y, then 5x = 5y --> Multiplication Property

Answer:

a) x³y²

b) 6x²y³

Step-by-step explanation:

For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)

For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³

Hope this helps!

Answer:

x-5

Step-by-step explanation:

The answer to your question is 32

2 (10-4)2+8

2*(6)*2+8

2*6*2=24

24+8=32