Two equations
let c the calories in carrot
let h the <span>calories in </span><span>hershey's kisses
</span><span>
4c + 8h = 230 eq 1</span>
10 c + 7 h = 263 eq 2
to solve the solution we multiply eq 1 by 10
we multiply <span>eq 2 by 4
</span>
40 c + 80 h = 2300
40c + 28 h = 1052
we subtract the two equations we get
52 h = 1248
h= 24
and so in replacing h = 24 in the equation we get c = 9.5
Answer:
(c) r units right
Step-by-step explanation:
The translation transformations are ...
g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up
Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.
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<em>Additional comment</em>
This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.
Now, suppose you transform this to ...
g(x) = f(x -2)
When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).
It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.
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You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."
y-u = f(x) . . . . . graph of f(x) shifted u units up
y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)
Answer:
8
Step-by-step explanation:
When you multiply 9 and 3 by 8 and then you subtract you get the same answer.
The percent change in attendance, relative to last year's show is a 5% increase.
<h3>What is a percentage? </h3>
A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
<h3>What is the percentage change in attendance? </h3>
The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.
[(16,800 - 16,000)/16,000] x 100 = 5%
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
7/6 cups
Step-by-step explanation:
Mug is 2/7 full
Amount of water in the mug = 1/3 cup
Assume the full capacity of the mug = m
Then the current capacity of water in mug = (2/7) of m = (2/7)m
Current capacity of water in mug is equivalent to 1/3 cup of water
Hence,
(2/7)m = 1/3
2m/7 = 1/3
Cross multiply
(2m * 3) = 7 * 1
6m = 7
m = 7/6
m = 1 1/6 cups