Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:
2,100 + 0.05x ≥ 2,400
We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)
How to solve this:
First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
Answer is 11/25 games lost which is 44%.
Step by step. 25 games minus 14 they won equals 11 games lost out of 25.
11 out of 25 = 11/25.
11/25 as a % - 11 divided by 25 = .44 which is 44%.
Check your work, 44% of 25 games = 11 games lost.
Problem solved.
<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,
<h2>
Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:
There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:
We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:
Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.
So, evaluating the function we have:
Hence, we have that the answer is the fourth option,
Have a nice day!
