determine when you would want to use h(x) applying the $5 coupon first, and determine when you would want to use j(x) applying the 25% off first.
(my notes if needed)

Answer:

second

Step-by-step explanation:

(2x-5)(3x+1) = 6x² +2x -15x -5 = 6x² -13x - 5

Answer:

x=8

Step-by-step explanation:

1. Distribute the 3 into the (x-3) to have 3x-9 = -2x+31

2. Add 9 to each side to get 3x = -2x+40

3. Add 2x to each side to get 5x = 40

4. Divide each side by 5 to get x=8

Solving for the value of x,

→ 3(x - 3) = -2x + 31

→ 3x - 9 = -2x + 31

→ 3x + 2x = 31 + 9

→ 5x = 40

→ x = 40/5

→ [ x = 8 ]

Thus, the value of x is 8.

Answer: 190800

Step-by-step explanation:

10 • 10 = 100

Than when you multiply anything 100 you just add two 0s to the end.

100 • 1908 = 190800

For your question: "The path of a seat on a new Ferris wheel is modeled by: What is the maximum height a rider will experience?"

The answer is B. 55 feet.

I got this through working this on my own. Let me know if you have any other questions down below.

The path of a seat on a new Ferris wheel is modeled by the function. the maximum height a rider will experience is 55 feet.

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function,

if results in negative output, then at that point, there is maxima.

If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

The path of a seat on a new Ferris wheel is modeled by

[tex]x = -25sin( \dfrac{ \pi} {30}t)\\\\y= -25cos( \dfrac{ \pi} {30}t)+ 30,[/tex]

To find its maximum, we will derivate this function and equalize it to 0.

[tex]y'(t)= \dfrac{5}{6}\pi cos( \dfrac{ \pi} {30}t)\\\\y''(t)= \dfrac{1}{36}\pi^2 cos( \dfrac{ \pi} {30}t)[/tex]

Now given that we have an arbitrary critical point,

If   [tex]y''(t) > 0[/tex] then we will have a minimum at tn.

If  [tex]y''(t) < 0[/tex] then we will have a maximum at tn.

by replacing the equation with the critical points.

y(30) = 55

y(-30) = 55

We found out that the maximum height a rider will experience is 55 feet.

The answer is B. 55 feet.

Learn more about maxima and minima of a function here:

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Answer:

The perimeter of the rectangle is 70 cm

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Two sides of a rectangle are in the ratio 3 : 4

→ Let the width is the shorter side and the length is the longer side

∴ The ratio between the width and the length is 3 : 4

∵ The longer side is 20 cm

∴ The length of the rectangle = 20 cm

→ By using the ratio method

→  width  :  length

→  3          :  4

→  w         :  20

→ By using cross multiplication

∵ w × 4 = 3 × 20

∴ 4w = 60

→ Divide both sides by 4

∴ w = 15

∴ The width of the rectangle = 15 cm

∵ The perimeter of the rectangle = 2(length + width)

∴ The perimeter of the rectangle = 2(20 + 15)

∴ The perimeter of the rectangle = 2(35)

∴ The perimeter of the rectangle = 70 cm

∴ The perimeter of the rectangle is 70 cm

Answer:

c=80

Step-by-step explanation:

Answer

Answer:

Increase?

Step-by-step explanation:

Because think about it let's use 1/2 as an example.

1/2 equals .5 now lets add 2 to both the numerator and denominator

3/4 is the result and it also equals .75 which is larger than .5 so that's why the answer is increase.

and u can keep on going on with the method

4/5=.8

If equal amounts are added to the numerator and the denominator of the current ratio, the ratio will always decrease.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Let m be the positive number.

And the ratio is p:q = p/q.

If equal amounts are added to the numerator and the denominator of the current ratio is,

(p+m)/(q+m).

The ratio will always decrease.

Therefore, the ratio will always decrease.

To learn more about the ratio;

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Answer:

Books in inventory= 66.5%

Step-by-step explanation:

First, we determine the number of books sold:

Books sold= 75 + 50 + 64 + 78 + 135= 402 books

Now, using the following formula, the percentage of books in inventory:

Books in inventory= [(books sold/total books) -1]*100

Books in inventory= [1 - (402/1,200)]*100

Books in inventory= 66.5%

Answer:

It is a*1=a

Step-by-step explanation:

This is because the identity property of multiplication states:

The product of 1 and any number is that number.

So therefore this equation represents the property

where a number A times 1 equals the number itself A.

so a*1=a is the correct answer

Answer:

y = 24

Step-by-step explanation:

Step 1:

y = - 6x        Equation

Step 2:

x = - 4        Given

Step 3:

y = - 6 ( - 4 )        Input x value

Answer:

y = 24

Hope This Helps :)

Answer:

w = -10.5

Step-by-step explanation:

p = 21 +2w

get 2w by its self

p= 21 + 2x

-21  -21

p - 21 = 2w

cancel out p

p(0) - 21 = 2w

-21 = 2w

divide both sides by 2

w= -10.5

Hope this helps!!!

Answer:

X=3

Step-by-step explanation:

Answer:

5w^2 over 12 is your answer. hope it helped!

Step-by-step explanation:

Answer:

5w^2 over 12

Step-by-step explanation:

The slope of a graph is base on the rise over run of the line connected by the points which composed of an X and Y coordinate. The rise of the line is its Y and the Run is X. Base on the assigning of variables of its x and y value, the slope is calculate by dividing the weeks by its test so the answer is 3 over 4 or 0.75

Step-by-step explanation:

The coordinates is (5.5,2).

Answer:

Step-by-step explanation:

1.

a. m = (y2-y1)/(x2-x1) = slope

Function 1:

m = (9-4)/(-3+1)

m = -5/2

Function 2:

m = (4-0)/(0+1)

m = 4/1

b. Function 2 has the greater rate of change.

2.

a.

g = 6-2w

g = 6.75-3w

b and c.

If you graph both of those functions they will cross each other and where they cross is the price of each item. The w value will be the waffle at $0.75 and the g value will be the grand slam at $4.50.

Answer:

D. 0

General Formulas and Concepts:

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

f(x) = csc(x)

f'(π/2) is x = π/2

Step 2: Differentiate

Step 3: Evaluate

Not really ready. But will be! FYI that's not really a question.

Answer:

Using the Pythagorean Theorem:

15^2 = 12^2 + base^2

base^2 = 225 -144

base^2 = 81

base = 4

Step-by-step explanation:

Answer:

The answer is 9

Answer:

x=40

Step-by-step explanation:

3x-18+x+7+x+9=180

5x-20=180

5x=200

x=40

Answer:

x < 5

Step-by-step explanation:

Step 1: Simplify

7x−35<2x−10

Step 2: Substract 2x from both sides

7x−35−2x<2x−10−2x

5x−35<−10

Step 3: Add 35 to both sides

5x−35+35<−10+35

5x<25

Step 4: Divide by 5

5x/5 × 25/5

x < 5

Answer:

x=5

Step-by-step explanation:

7x-35<2(x-5)

7x-35<2x-10

7x-2x<-10+35

5x<25

x<25/5

x<5

Answer:

c+b / a

option 4

Step-by-step explanation:

ax - b = c

add b to both sides

ax = c + b

divide a on both sides

x = c+b / a

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Answer:

Since one of the angles is 90°, the triangle is right.

Step-by-step explanation:

Angles in a Triangle

The sum of angles in a triangle is 180°. We are given the angles are x, 5x, and 6x, thus:

x + 5x + 6x = 180

Simplifying:

12x = 180

Dividing by 12:

x = 180/12 = 15

x = 15°

5x = 75°

6x = 90°

Since one of the angles is 90°, the triangle is right.

Answer:

1 answer which would be -5+5 which =0

Step-by-step explanation:

Answer:

c

Step-by-step explanation: i just did it

Answer:

b is the answer

Step-by-step explanation:

Step-by-step explanation:

0.45x, where x = number of bags sold

Hope this helped. Have a good day!

52 bags x $0.45 for each bag =$23.40 earned for sarah 's troop