Substitue 2x for y in the second equation:
Rearrange to
form:
Factor:
Zeros are
and
To find y-coordinates of pts of intersection, plug these x-values into first equation to get
and
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
5x - 6 = 44
Add 6 on both sides of the equation.
5x = 50
Divide by 5 on both sides of the equation.
x = 10
So, the value of x is equal to 10
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change =
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change =
Rate of change =
Rate of change = -1
Answer:
4 minutes and 15 seconds
Step-by-step explanation:
119/28 = 4.25 (minutes)
.25 of a minute is 15 seconds, so the answer is 4 minutes and 15 seconds