After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x| + 7
First we reflect the function f(x) across the x-axis
Multiply the function by -1
F(x) = -(|x| + 7)
To translated 4 units up add 4 to the function.
g(x) = -(|x| + 7) + 4
Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
Learn more about the function here:
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Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Your answer is 75°, 75°, and 30°
Because you know that angles in a triangle equal 180°, you can find what 1 in terms of the ratio is by adding 2, 5, and 5, and then dividing 180 by that value. 2 + 5 + 5 = 12, so 180 ÷ 12 = 15.
Now that you know that 1 in terms of the ratio is 15, you can multiply 15 by the ratio values, so
15 × 2 = 30°
15 × 5 = 75°
15 × 5 = 75°
I hope this helps!
Answer:
11.1d + 3.2h - 15
Step-by-step explanation:
