Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.
So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
Answer: -3
Step-by-step explanation:
-4
+ 
can be written as 
x
which is the same as 2
Also , can be written as 
x , which is the same as 5
Substituting into the main question , we have
-4 (2 ) + 5
= -8 + 5
= -3
Answer:
Jaime = 11
Sammy = 44
Step-by-step explanation:
It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:
S = 5J - 11
It is given that the sum of the two girl's ages is (55), use an equation to represent this.
S + J = 55
Substitute in the expression for the value of (S) in terms of (J),
(5J - 11) + J = 55
Simplify,
6J - 11 = 55
Inverse operations,
6J - 11 = 55
6J = 66
J = 11
Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,
S = 5(J) - 11
S = 5(11) -11
S = 55 - 11
S = 44
Answer:
D
Step-by-step explanation:
11x + 14 < -8
Cancel the addition by subtracting
11x + 14 - 14 < -8 - 14
11x < -22
11x / 11 < -22/11
x < -2
Therefore, the answer is D
ANSWERS:
2
−
4
−
2
1
x^{2}-4x-21
x2−4x−21
Grouping
1
Use the sum-product pattern
2
−
4
−
2
1
x^{2}{\color{#c92786}{-4x}}-21
x2−4x−21
2
+
3
−
7
−
2
1
x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-7x}}-21
x2+3x−7x−21
2
Common factor from the two pairs
3
Rewrite in factored form
Solution
(
−
7
)
(
+
3
)
