Answer:
x^2 + 14x + 40.
Step-by-step explanation:
(x+4) (x+10)
= x(x + 10) + 4(x + 10) ( By the Distributive Law)
= x^2 + 10x + 4x + 40
= x^2 + 14x + 40.
Answer:
n = 144
Step-by-step explanation:
6 / n = 5/120
6 * 120 = 5*n
5n = 6*120
5n = 720
n = 720/5
n = 144
Answer:
<h3>x = -3</h3>
Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours
Using the values from above, we can set up the equation as:
400 = 25m + 10b
or
25m + 10b = 400
This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
