Answer: 0.75
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.
So we can think of 75% as the ratio 75 to 100 or 75 ÷ 100.
Dividing by 100 moves the decimal point two places to the left so 75 ÷ 100 will move the decimal point two places to the left which would give us .75 or 0<em>.</em>75.
This means that 75% can be written as the decimal 0<em>.</em>75.
Step-by-step explanation:
A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:
f(x) -> a f(x-h)+k
substitute f(x) by sqrt(x), then
sqrt(x) -> a*sqrt(x-h) + k
So the given equation is derived from f(x) = sqrt(x), hence a radical function.
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
1 unit to the left of -1 on the number line is -2.
Thus, 7 units to the left of -1 is -8.
The appropriate choice is ...
... c. -8
Answer:
0.11
Step-by-step explanation:
