Answer:
Step-by-step explanation:
<u>Step 1: Distribute the plus</u>
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<u>Step 2: Combine like terms</u>
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Answer:
Answer:
Part A: a coefficient is either 20 or 35, both work. A variable is c or w, again either work. The constant is 23.50.
Part B: He will have $503.50
Part C: The coefficient would change, because the amount per car changes, not the amount of cars.
Step-by-step explanation:
A coefficient goes in front of the variable (which is the letter, usually shown as x). The constant is a number with no variable attached.
We replace c with 20, and w with 12, giving us 20(3)+35(12)+23.50 for our equation. After multiplying, we come up with 60+420+23.50, which equals 503.50.
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
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