Jared just started a Tennis School. He found an online store selling racquets for $30 each. Write the rule to represent how much Jared spent on a set of racquets for his school.

Answer:

Slope of f(x) is greater than slope of g(x)

g(x) has a greater y intercept

Step-by-step explanation:

Given

f(x) table

[tex]g(x) = 2x + 6[/tex]

Solving (a):

First, we determine the slope of f(x).

From the table, we take any two corresponding values of x and f(x).

Represent f(x) with y

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

The slope (m) is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]

[tex]m = \frac{-6 +12}{0 +1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

Represent this with m1

[tex]m_1 = 6[/tex]

Calculating the slope of g(x).

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope.

We have that:

[tex]g(x) = 2x + 6[/tex]

By comparing  [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]

[tex]m = 2[/tex]

Represent this with m2

[tex]m_2 = 2[/tex]

Comparing both slope, we can say that:

f(x) has a greater than slope of g(x)

Another comparison is that:

Slope of f(x) is 3 times the slope of g(x)

Solving (b): Function with greater y intercept.

The general form of an equation is [tex]y = mx + b[/tex]

Where b represents the y intercept.

First, we need to determine the equation of f(x) using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that, from the table of f(x):

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

[tex]m_1 = 6[/tex]

So:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-12) = 6(x - (-1))[/tex]

[tex]y + 12 = 6(x +1)[/tex]

[tex]y + 12 = 6x +6[/tex]

Solve for y

[tex]y = 6x + 6 - 12[/tex]

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

By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6

For g(x), we have:

[tex]g(x) = 2x + 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of g(x) is 6

Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]

Answer:

3

Step-by-step explanation:

4×2.5=10

2×7.5=15

10+15=25

34-25=9

9÷3=3

Answer:

3

Step-by-step explanation:

4(2.50)=10

2(7.50)=15

15+10=25

34-25=9

3(3)=9

25+9=34

Answer:

D

Step-by-step explanation:

Answer:

x=-2/3,2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2 (3x - 2) - 4x + 1 = 9

Distribute the 2 to 3x and -2

6x - 4 - 4x + 1 = 9

Combine like terms

2x - 3 = 9

Add three to both sides

2x = 12

Divide by 2

x = 6

Answer:

(Look at comments)

Answer:

jnkj

Step-by-step explanation:

Answer:

$3,080

I Don't know how to deal with money.

PLEASE MARK BRAINLIEST

Answer:

9

Step-by-step explanation:

Answer:

7 pounds

Step-by-step explanation:

In order to find the answer to this question add the cost of a pound worth of almonds to the total amount of money she spent altogether in till you cannot add anymore.

[tex]3.50+3.50=7.00[/tex]

[tex]7.00+3.50=10.50[/tex]

[tex]10.50+3.50=14.00[/tex]

[tex]14.00+3.50=17.50[/tex]

[tex]17.50+3.50=21.00[/tex]

[tex]21.00+3.50=24.50[/tex]

=[tex]7lb[/tex]

Check work:

[tex]3.50\times7=24.50[/tex]

Hope this helps

Answer:

Step-by-step explanation:

3.50 per pound

Let each pound represent x

Total of almonds bought is 24.50

therefore 3.50x = 24.50

x = 24.50 ÷3.50

x= 7

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

Learn more about quadrilateral on https://brainly.com/question/23935806

#SPJ2

Answer:

71.0

Step-by-step explanation:

Answer:

(x + 5)(x + 4)

Step-by-step explanation:

[tex]x^{2} +9x+20=(x+5)(x+4)[/tex]

Answer:

Step-by-step explanation:

x^2+9x+20

(x+4)(x+5)

Answer:

-19

Step-by-step explanation:

so you are just going to substitute in -5 for a and 7 for b.

-2(7)+ (-5)

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

Height of entire screen :

(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

Answer:

C

Step-by-step explanation:

the y-intercept is -2 and the slope is up 3 left two which is -3/2

Answer:

1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer: x=10 and y=25

Step-by-step explanation:

ok, so since we know straight angles=180 degrees, so since one part=100, the other smaller angle=80. This means that 11x-30=80 and 5y-25=100. 11*10=110, and 110-30=80, so x=10. 5*25=125, and 125-25=100, so y=25. And lol. me too. When I used to do these problems, I was stuck for a very, very long time. Just try to use logic most of the time.

Answer:

y = 25 and x = 10

Step-by-step explanation:

the angles on top and on bottom are equal so...

5y - 25 = 100

5y - 25 + 25 = 100 + 25

5y = 125

5y/5 = 125/5

y = 25

Every line is 180 degrees so we know that if the top and bottom angles are 100 then the other angles need to equal 80

11x - 30 = 80

11x - 30 + 30  = 80 + 30

11x = 110

11x/11 = 110/11

x = 10

Answer:

the answer is 16 im pretty sure

Step-by-step explanation: hope this helps :)

-14 is right after -15

-3 is the 3rd point left of 0

-8 is the 8th point left of 0

Answer:

∠ACB = 72

Step-by-step explanation:

OAD is straight line.

∠DAB +  ∠OAB  = 180

142 + ∠OAB  = 180

          ∠OAB = 180 - 142

          ∠OAB =  38

ΔAOB is isosceles triangle. OA = OB = radius

∠OAB = ∠OBA = 38   {angles opposite to equal sides or equal}

In ΔAOB ,

∠OAB + ∠OBA + ∠AOB = 180   {Anlge sum property of triangle}

   38 + 38 + ∠AOB = 180

               76 + ∠AOB = 180

                       ∠AOB = 180 - 76

                       ∠AOB = 104

THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle

∠AOB =  2*∠ACB

∠ACB = ∠AOB/2

         = 104/2

∠ACB = 72

Answer:

17

Step-by-step explanation:

22 is a multiple of 11 and 22-5 is 17

Answer:

scalene right

Step-by-step explanation:

no side congruent and right

Answer:

45:40

27:24

Step-by-step explanation:

45:40 c=5

27:24 c=3

Answer:

Greater than 10 but less than 100.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

You can do this using slope formula, y2-y1/x2-x1.

We first substitute in the numbers--> -2 - 13/ 6 - (-4)

Then we simplify to get--> -15/10 = -3/2

You could also graph the points and find the rise over run.

Hope this helps!

Answer:

20°

Step-by-step explanation:

If m∠N = 140° and NO = PN , then m∠O = m∠P = (180° - 140°) / 2 = 20°

Answer:

slope(m)=-1

Step-by-step explanation:

let the point (8,8) and (12,12) be ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex])

slope of point([tex]m_{1}[/tex])=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

                             =(12-8)/(12-8)

                            =1

let the slope of perpendicular line to given point be [tex]m_{2}[/tex]

now ,

    [tex]m_{1} m_{2}[/tex]=-1

  so [tex]m_{2}[/tex]=-1

Answer: a big rock

Step-by-step explanation: i am just dumb and lazy