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Scrat [10]
3 years ago
11

Kit bought a soft drink and a sandwich for 9.00 what was the price of each ifnthe sandwich cost 3.5 times as much as the soft dr

ink
Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

Sandwich = 6.75

Soft drink = 2.25

Step-by-step explanation:

9.00/4 = 2.25

2.25*3=6.75


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Consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?​
olga nikolaevna [1]

Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

Step-by-step explanation:

First, let's define the transformations:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Here we have:

f(x) = 6*sin(x - pi/8) + 8

and the transformed function:

g(x) = 6*sin(x - (7/16)*pi) + 1

We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:

g(x) = f(x + B) + A

g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1

Then we must have that:

(x + B - pi/8) = x -  (7/16)*pi

B - pi/8 = -(7/16)*pi

B = -(7/16)*pi + pi/8 =  -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16

And we also must have that:

8 + A  = 1

A = 1 - 8 = -7

Then the transformation is:

g(x) = f(x - 5*pi/16) - 7

This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.

3 0
3 years ago
Write the expression as an inequality.
g100num [7]

For the park's ride sign, there are two pieces we need to look at.

1) "At least 44"

2) "No more than 74"

The first piece tells us anyone more than 44 inches can ride. 45 inches is okay, since 45 is more than 44 (45 > 44 is true). 44 works too since 44 ≥ 44 is true. So you can say a person's height - h that is more than 44 makes it true, h ≥ 44. We reverse its orientation and say that 44 ≤ h.

The second piece says if you are under 74 inches you can ride. "No more than" means we don't include 74 inches but 73 inches would be fine. With symbols, 74 < 74 would be false, and 73 < 74 would be true. Using anyone's height - h - that means h < 74 is true.

Put the pieces together, and we have 44 ≤ h < 74 (choice B).

6 0
3 years ago
Explain how you can use absolute value to tell whether the sum of two integers is positive or negative
Tpy6a [65]
Any integer's sum and the reverse is equal to zero. You can add two positive integers the result will always be a positive sum, including two negative whole numbers dependable yields a negative aggregate. To discover the whole of a positive and a negative number, take the outright estimation of every number and after that subtract these qualities.
6 0
3 years ago
You mix 7 tablespoons of vinegar for every 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons o
Marianna [84]

Answer:

105

Step-by-step explanation:

its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105

4 0
3 years ago
10 more than a number c is 3.<br> Equation<br> Solution
Dennis_Churaev [7]

Answer:

c + 10 = 3

Step-by-step explanation:

3 0
3 years ago
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