3c + b.....when c = -7 and b = 4
3(-7) + 4 =
-21 + 4 =
- 17 <===
Answer:
18
Step-by-step explanation:
sub in x = -7 into the equation
f(-7) = |-14-4| = |-18| = 18
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
hope it helps
Step-by-step explanation:
The given inequality is
The sign of inequality is ≤, it means the points on relation line lie in the solution set.
The related equation of the inequality is
At x=0,
At x=1,
Plot the points (0,0) and (1,-2) on a coordinate plane.
The sign of inequality is ≤, it means we have shade below the line.
The point (-2,4) and (3,-6) are in solution set because,
(True)
(True)
Therefore option A is correct.
The points (1,2) and (1,3) are not in the solution set because,
(False)
(False)
Answer:
- After a 90% increase, there is 2,280
- After a 55% increase, there is 2015
- After a 58% decrease, there is 588
Step-by-step explanation:
Assume the original figures are x.
After a 90% increase, there is 2,280:
x * (1 + 90%) = 2,280
1.9x = 2,280
x = 2,280 / 1.9
= 1,200
After a 58% decrease, there is 588:
x * (1 - 58%) = 588
0.42x = 588
x = 588/0.42
x = 1,400
After a 55% increase, there is 2,015:
x * (1 + 55%) = 2,015
1.55x = 2,015
x = 2,015/1.55
x= 1,300
Order:
1,200 ⇒ 1,300 ⇒ 1,400
