A season pass to the local water park costs 84. If you go to the park ten times during the season, what is the unit rate of cost per visit?

Answer:

[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{3}{2}x-5}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=\dfrac{x}{2}-2=\dfrac{1}{2}x-2\\\\g(x)=2x^2+x-3\\\\(f+g)(x)=\left(\dfrac{1}{2}x-2\right)+(2x^2+x-3)\\\\=\dfrac{1}{2}x-2+2x^2+x-3\qquad\text{combine like terms}\\\\=2x^2+\left(\dfrac{1}{2}x+x\right)+(-2-3)\\\\=2x^2+1\dfrac{1}{2}x-5\\\\=2x^2+\dfrac{3}{2}x-5[/tex]

Answer:

y=3

Step-by-step explanation:

3 (3y - 9) = 0

Divide each side by 3

3/3 (3y - 9) = 0/3

3y -9 = 0

Add 9 to each side

3y -9+9 = 0+9

3y =9

Divide by 3

3y/3 = 9/3

y =3

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Answer:

(-5, 1)

Step-by-step explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

Answer:(-5, 1)

Step-by-step explanation:

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

F (- 12) = 2/3(-12)+7

F (- 12) = 2(-4) + 7

F(-12) = -8 + 7

F(-12) = -1

Answer:

[tex]\boxed{\text{A. \$1.25; B. September by 4.7 \%}}[/tex]

Step-by-step explanation:

Part A. Price of flowers in September

Let x = price of flowers in September.

Then 1.2x = price of flowers in October

1.2x = $1.50

[tex]x = \dfrac{\$1.50 }{1.20} = \$1.25\\\\\text{The price of flowers in September was }\boxed{\textbf{\$1.25}}[/tex]

Part B. Seventh-grade class

40 % of September price = 0.40 × $1.25 = $0.50

    40 % of October price = 0.40 × $1.50 = $0.60

In September

[tex]\text{Earnings} = \text{900 flowers} \times \dfrac{\$0.50}{\text{1 flower} } = \$450[/tex]

In October,

[tex]\text{Earnings} = \text{700 flowers} \times \dfrac{\$0.60}{\text{1 flower} } = \$430\\\\\text{Difference} = \$450 - \$430 = \$20[/tex]

The class earned $20 more in September.

Compared with October earnings,

[tex]\text{\% Difference} = \dfrac{\text{Difference}}{\text{October earnings}} \times 100\%\\\\\text{\% Difference} = \dfrac{\$20}{\$430} \times 100\% = 4.7 \%\\\\\text{The class made more money in } \boxed{\textbf{September}} \text{ by } {\boxed{\mathbf{4.7 \%}}[/tex]

The answer above me deserves brainliest !! They did so well!!!

The center of the circle is (-3, -9/2) and the radius is sqrt(41)/2.

To find the coordinates of the center and length of the radius of the circle, we need to rewrite the equation of the circle in the standard form (x-h)^2 + (y-k)^2 = r^2. First, complete the square for the x and y terms by adding and subtracting the necessary constants:

x^2 + 6x + 4y = 23

x^2 + 6x + 9 + 4y + 9 = 23 + 9 + 9

(x + 3)^2 + (y + 9/2) = 41/4

Therefore, the center of the circle is (-3, -9/2) and the radius is sqrt(41/4), which simplifies to sqrt(41)/2.

Answer:

12

Step-by-step explanation:

First, multiply the length by two then, subtract the total by the sum, last divide by two.

(25 * 2)

(74 - 50)

(24/2)

Answer = 12

Answer:

w>/=12

Step-by-step explanation:

2(25)+2w>/= 74

50+2w>/=74

-50          -50

2w>/=24/2

w>/=12

Answer:

1/28

Step-by-step explanation:

Before picking 1st song

Total songs = 8

Rock songs = 2

Probability of picking a rock song as the first song,

= 2 rock songs out of 8 total songs remaining

= 2/8

After picking 1st song

Total songs left over = 7

Rock songs left over = 1

Hence, Probability of picking a rock song as the second song,

= 1 rock song out of 7 total songs remaining

= 1/7

Probability of picking 2 consecutive rock songs,

= [tex]\frac{2}{8}[/tex] x [tex]\frac{1}{7}[/tex]

= [tex]\frac{1}{28}[/tex]

Answer:

Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)

Step-by-step explanation:

Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize

You can also determine the equation of the linear function as then graph both equations on the graph tool

Finding gradient m

Given (0,6) and (1,3)

m=change in value of y/change in value of x

[tex]m=\frac{3-6}{1-0} =\frac{-3}{1} =-3[/tex]

Finding the equation of the linear function

Taking points (2,0)   and (x,y)

[tex]m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6[/tex]

From the graph,they intersect at

(0.686,3.941) and (2.914,-2.741)

Answer:

Yes, at positive x coordinates

Answer:

Distributive property.

For this case we have that by definition, the distributive property establishes that:

[tex]a (b + c) = ab + ac[/tex]

So, if we have:

[tex]5 (x-7) = 55[/tex]

When applying distributive property to the terms within the parenthesis we have:

[tex]5x-35 = 55[/tex]

The distributive property was used to write the second step.

Answer:

Distributive property

Answer: 1439

Step-by-step explanation:

Volume= Length* breadth* height

= 15*1312*112

= 1439

Answer:

38

Step-by-step explanation:

The 38-deg angle and and angle 6 are vertical angles, so they are congruent.

m<6 = 38 deg

Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.

m<4 = m<6 = 38 deg

Answer:

38

Step-by-step explanation:

< 6 = 38  vertical angles

< 6 = <2  alternate interior angles

<2 = <4  vertical angles

<4 = 38

Answer:

C

Step-by-step explanation:

Ok, so to do this, we are just going to plug in (0,0) and see it it checks out.

Let's take the first question. y[tex]y\geq x^{2} -4[/tex]

When we plug (0,0) into this, we get the following

[tex]0\leq 0^{2} -4[/tex]

[tex]0\leq 0-4[/tex]

[tex]0\leq -4[/tex]

This is false.

Let's check the other equation:

[tex]0>2(0)-1\\0>0-1\\0>-1[/tex]

This is true.

So the correct answer is C

Answer:

I think the answer is B= 62  

Step-by-step explanation:

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Answer:

41°

Step-by-step explanation:

∠C is opposite of side c.

Using law of cosines:

c² = a² + b² − 2ab cos C

17.2² = 26² + 19² − 2(26)(19) cos C

cos C = 0.750

C ≈ 41°

Answer:

The answer is 41 degrees

Answer:

The simplification of the given expression  (r3s2t)4 is:

r¹²s⁸t⁴

Step-by-step explanation:

Given expression:

(r³s²t)⁴

power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:

= (r³)⁴(s²)⁴(t1)⁴

= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴

= r¹²s⁸t⁴

Answer:

4.75 is the answer

Step-by-step explanation:

The Gross sales were 393 million.

It is required to find the gross sales rounded to the nearest million

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let gross sales = x millions

Returns = 1/80xmillions

x-1/80x=380

29x/30=380

x=380*30/29

x=393.10≈393

Therefore, the Gross sales were 393 million.

Learn more about arithmetic here:

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See the attached picture:

Answer:

D

Step-by-step explanation:

8x-5x<21-6

x<15÷3

x<5

Answer:

D) { x | x < 5}

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x+21

Subtract 5x from each side

8x-5x+6 < 5x-5x+21

3x+6 < 21

Subtract 6 from each side

3x+6-6<21-6

3x <15

Divide each side by 3

3x/3 <15/3

x < 5

Answer:True

Step-by-step explanation:

Answer:

The sum of the exterior angles of a polygon is always 180 degrees.

Step-by-step explanation:

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A transversal is a line that passes through two lines (as shown above) on the same plane.

N is the transversal since it passes through line L and M at two distinct points.

Answer:

A transversal is a line that passes through two lines (as shown above) on the same plane.

N is the transversal since it passes through line L and M at two distinct points.

Step-by-step explanation:

Answer:

x = -4, 10

Step-by-step explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

[tex](x-3)^2 = 49\\\sqrt{(x-3)^2}=\sqrt{49}\\  x-3=+-7\\x=3+7=10\\x=3-7=-4[/tex]

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of [tex]\sqrt{49}[/tex]

Answer: -4 and 10

Step-by-step explanation:

b and c

the second and and the third option

the middle two

Answer:

2[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d = [tex]\sqrt{(4+2)^2+(-6-4)^2}[/tex]

  = [tex]\sqrt{6^2+(-10)^2}[/tex]

  = [tex]\sqrt{36+100}[/tex]

  = [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]

Answer:

An  equilateral triangle has all sides equal.  

If perimeter = 18y -6 then one side = (18y -6) / 3 =

6y -2

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

18y-6

y=18/6

y=3

18*3=54

Answer:

(t+p,r)

Step-by-step explanation:

To find midpoint you average the x's and averages the y's of the endpoints.

So x-coordinate (2p+2t)/2 =p+t

So y-coordinate (2r+0)/2=2r/2=r

So midpoint (p+t, r)

Answer:

The correct answer is first option

(t + p, r)

Step-by-step explanation:

Points to remember

midpoint formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]

To find the midpoint of EC

Let   (x1, y1) = E(2t, 0) and  (x2, y2) = C(2p, 2r)

Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]

 = (2(t + p)/2 , 2r/2)

 = (t + p, r)

Therefore midpoint of EC = (t + p, r)

The correct answer is first option

Answer: 495 degrees

Step-by-step explanation:

[tex]\frac{11\pi }{4}[/tex] · [tex]\frac{180}{\pi }[/tex]

[tex]\frac{1980}{4}[/tex]

495 degrees

Answer:

-2 = m

Step-by-step explanation:

y = -2x + 2; your y-intercept is [0, 2] and your x-intercept is [1, 0] (not all the time your x-intercept will be an endpoint). Simply do rise\run until you hit another endpoint. As you can see, you go two blocks south then go one block over east. Do you understand?