Answer:
8i + 4
Step-by-step explanation:
Add/subtract like terms:
7 - 3
= 4
-4i - (-12i)
-4i + 12i
= 8i
Add these together:
8i + 4
So, the simplified expression is 8i + 4
Answer:
m = -1/2
Step-by-step explanation:
let me know if it helped
(too lazy to write a explanation)
Answer:
BC=25
Step-by-step explanation:
this is an isosceles triangle, so sides AB and sides AC are equal
AB = AC
4x+1 = 2x+23
subtract 2x from each side
2x+1 = 23
subtract 1 from each side
2x =22
divide by 2 on each side
x =11
BC = 3x-8
substitute the value of x
BC = 3*11 -8
BC = 33 -8
BC=25
Answer:
$15.63 ≤ x ≤ $54.365
Step-by-step explanation:
Profit of the phone company is modeled by the equation,
p(x) = -50x² + 3500x - 2500
For the profit of at least $40000,
-50x² + 3500x - 2500 ≥ 40000
-50x² + 3500x ≥ 40000 + 2500
-50x² + 3500x ≥ 42500
-x² + 70x ≥ 850
x² - 70x + 850 ≤ 0
By quadratic formula,
x - intercept of the inequality will be,
x = 
x = 
x = 15.635, 54.365
Therefore, $15.635 ≤ x ≤ $54.365 will be the range of cost for which profit will be at least $40000.
Answer:
a ≤ 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
3(a - 4) ≤ 33
<u>Step 2: Solve for </u><em><u>a</u></em>
- Divide 3 on both sides: a - 4 ≤ 11
- Add 4 on both sides: a ≤ 15
Here we see that any value <em>a </em>less than or equal to 15 would work as a solution to the inequality.
