Answer:
n = 1
Step-by-step explanation:
Represent the number by n. Then "seven less than twice a number is -5 becomes 2n - 7 = -5
Next we must solve for n. Adding 7 to both sides yields 2n = 2, so that
n = 1
Answer:
5 units
Step-by-step explanation:
Step one:
Given data
Le the first number be x
and the second number be y
So
x*y= 10-----------------1
and
x+y= 7-----------------2
from eqn 1
x= 10/y
put x= 10/y in eqn 2

cross multiply we have

rearrange

the factors of the quadratic expression are
-5 and -2

The longest side is 5 units
The solution to the system of equation is (1, 4).
In order to find this, we can first just see where the graphs intersect each other. This will give us the solution set.
As for what it represents, the x value in the increase in temperature and the y value is the increase in customers.
Therefore, we know that we want the temperature to go up by 1 (although we don't know the units) and that would result in the amount of people coming, and staying longer by 4 (again, we don't know the units of measure).
Answer:

Step-by-step explanation:
<u>Volume Of A Regular Solid</u>
When a solid has a constant cross-section, the volume can be found by multiplying the area of the base by the height. The area of a trapezium is

where
and
are the lengths of the parallel sides and h the distance between them.
The figure shows a solid with a trapezoid as the constant cross-section and a height x. The volume of the solid is


The image doesn't explicitly say if the length of 4.5 is the height of the trapezium or the length of that side. We'll assume the first, so our data is:

We now compute the volume


hi
f(x) = -12x²+9x
So
f'(x) = -24x +9
if x = 6 then f'(6) = -24 (6) +9 = -135