Answer:
It should be 384^2
Step-by-step explanation:
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Just do 3^2 * 3^2 he is incorrect because he multiplied the exponents and he was suppose to add them together. the correct answer should be 3 to the 4th power which is 81
Answer: g = -4 and h =1 or g= -1 and h = -2
Step-by-step explanation:
If two exponents have the same base and are multiplied together, you will keep the base unchange and add the exponents.
So looking at the equation, the base is 2 for both and they are raised to the powers g and h, meaning that if g and h are added together they have to equal -3.
So find two numbers that their sum is -3.
For example, -1 and -2 add up to -3, -4 and 1 add up to -3.
3x moved 3 units to the left, -5y moved 14 units to the right.
