Step-by-step explanation:
4x^2 - 8x >= 0
Factor left side
4x(x - 2) >=0
Then case I) 4x <=0 and x - 2 <= 0
so x <= 0 and x <= 2
So x <= 0
Answer:
We will use;
21 parts oil
14 parts soy sauce
7 parts Orange
Step-by-step explanation:
We can have all of these as a ratio
That would be;
3 + 2 + 1 = 6
For oil
3/6 * 42 = 21 parts of oil
For Soy sauce
= 2/6 * 42 = 14 parts soy sauce
For Orange
= 1/6 * 42 = 7 parts orange juice
Answer:
y = 7x - 9
slope = 7
draw on graph
x y
-3. -30
-2. -23
-1. -16
0. -9
1. -2
2. 5
3. 12
y intercepts at x= 0 which is -9
y = 3x -1
slope = 3
x y
-3. -10
-2. -7
-1. -4
0. -1
1. 2
2. 5
3. 8
y intercepts at x= 0 which is -1
for x= 2 , y = 5 in both graphs
so (2,5) is intersection point
or we can solve by equating equation
7x-9 = 3x-1
4x = 8
x=2
y = 3*2 -1 = 5
(x,y) = (2,5)
Step-by-step explanation:
a. years since 1990 (t) = 30
enrollment: n = -0.3|30 - 8|+11 = -0.3*22 + 11 = 4.4, which means 4400 students
b. Replacing into the equation with n = 10, we get:
10 = -0.3|t - 8|+11
10 - 11 = -0.3|t - 8|
(-1)/(-0.3) = |t - 8|
10/3 = |t - 8|
t - 8 = 10/3 or t - 8 = -10/3
t = 10/3 + 8 t = -10/3 + 8
t = 11 1/3 t = 4 2/3
t = 11 1/3 corresponds to year 1990 + 11 = 2001
t = 4 2/3 corresponds to year 1990 + 4 = 1994
It would be 100. Because let's say you had to round 25 to the nearest 10 it would be 30 because everything ending with 5 (example: 5 to nearest 10 would go to 10 65 to the nearest ten would go to 70) but anything lower then 5 goes to the lower number.