Answer:
Lacy is 13 and Jack is 52
Step-by-step explanation:
In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.
Answer:
p(6) = 7
Step-by-step explanation:
p(n) = n + 1
Let n = 6
p(6) = 6 + 1
p(6) = 7
Answer:
m=-2
Step-by-step explanation:
As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0
here a=2, b=+8, c=-m^3
Given c/a=4
-m^3/2=4
-m^3=8
m^3= -8
m=-2.
Answer:
x = 4 ± 
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ±
Answer:
<h2>y = 4x + 4</h2>
Step-by-step explanation:
The slope-intercept form:

m - slope
b - y-intercept
Parallel lines have the same slope.
We have y = 4x + 2 → m = 4.
The slope of parallel line is m = 4 and the y-intercept b = 4.
Therefore we have the equation of a line:
