Answer:
y = 3x –5
Step-by-step explanation:
for slope-intercept form, y = mx + b
find the slope, m
(-8 -4)/(-1-3) = m
-12/-4 =m
3 = m
Substitute for m and use either coordinate for y and x to calculate b
4 = 3(3) + b
4 = 9 + b. Subtract 9 from both sides
4 –9 = b
–5 = b. Rewrite the equation with the calculated values for m and b
y = 3x –5
Answer:
C and D
Step-by-step explanation:
They are both right
Answer:
C. Marie should make sure she surveys both the fathers and mothers.
Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
Answer:
x=3
y=3
Step-by-step explanation:
x = 6-y
-plug in (6-y) into first equation
2(6-y)+3y = 15
12-2y+3y=15
-2y+3y = 3
y=3
x=6-3
x=3
double check:
(2*3) + (3*3) = 6 + 9 = 15
3 + 3 = 6