Area of trapezoid = 1/2(b1+b2)(h)
<span>1/2(10 cm + 8 cm)(12cm) = </span>
<span>108 cm^2</span>
Y= 15x + 100
Y: Leonard's total earnings
X: days worked
Answer:
The total cost will be the same for both companies after 20 miles.
Step-by-step explanation:
First, I wrote the equations:
Laguna's Truck Rentals: 2x + 20
Salvatori's truck rentals: 3x
To find when the total cost for both companies will be the same, I kept substituting numbers for the variable until it worked. So, the total cost for both companies will be the same after 20 miles. Hope this helped!
Basically the Remainder theorem states that the remainder of dividing a polynomial P(x) by (x - a) is given by P(a).
So for example if we divide x^ 2 - 2x + 7 by x - 2 the remainder will be
2^2 - 2(2) + 7 = 7..
If the remainder is 0 then the divisor will be a factor of the polynomial. This is the Factor Theorem and can be used to test if a given polynomial has a factor x-a.
The question is incomplete. Here is the complete question:
A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?
Answer:
2.5 square feet per hour
Step-by-step explanation:
Given:
Area covered by a machine = 
Time taken to cover the given area = 
Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.
Here, the first quantity is the area covered and the second quantity is the time taken.
So, unit rate is the area covered by the machine in 1 hour.
In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Thus, the unit rate is 2.5 square feet per hour.