Answer:
1. E
2. A
3. B
4. AB
5. E
6. D
7. BC
8. CD
9. A
10. C
Step-by-step explanation:
Answer:
r = {-8, -4}
Step-by-step explanation:
Simplifying
r2 = -32 + -12r
Solving
r2 = -32 + -12r
Solving for variable 'r'.
Reorder the terms:
32 + 12r + r2 = -32 + -12r + 32 + 12r
Reorder the terms:
32 + 12r + r2 = -32 + 32 + -12r + 12r
Combine like terms: -32 + 32 = 0
32 + 12r + r2 = 0 + -12r + 12r
32 + 12r + r2 = -12r + 12r
Combine like terms: -12r + 12r = 0
32 + 12r + r2 = 0
Factor a trinomial.
(8 + r)(4 + r) = 0
Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:
Simplifying
8 + r = 0
Solving
8 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8
Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8
Combine like terms: 0 + -8 = -8
r = -8
Simplifying
r = -8
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:
Simplifying
4 + r = 0
Solving
4 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4
Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4
Combine like terms: 0 + -4 = -4
r = -4
Simplifying
r = -4
Solution
r = {-8, -4}
Answer:
x ≥ 6 or x ≤ -2
Step-by-step explanation:
- I x - 2 I + 4 ≤ 0
- I x - 2 I ≤ -4
I x - 2 I ≥ 4
x - 2 ≥ 4 or x - 2 ≤ -4
x ≥ 6 or x ≤ -2
Answer:
Step-by-step explanation:
GIVEN: The weight, in pounds, of a newborn baby 
months after birth can be modeled by the function 
.
TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.
SOLUTION:
in
if 
Hence y-intercept is
the y-intercept in this represents the weight of baby just after he is born.
Answer: x=-1 y=1
Step-by-step explanation:
solve y in 3+2x-y=0
y=3+2x
sub y=3+2x into -3 -7y=10x
-14x- 24= 10x
solve x in -14x-24=10x
x= -1
sub x= -1 into y =3+2x
y=1
so therefore x= -1 and y=1
