We have the following equation:
h (t) = - 16t ^ 2 + 161t + 128
We substitute the value of h (t) = 170:
170 = -16t ^ 2 + 161t + 128
We rewrite the equation:
-16t ^ 2 + 161t + 128 - 170 = 0
-16t ^ 2 + 161t - 42 = 0
We look for the roots of the equation:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
Answer:
The object is 170 feet off the ground at the following times:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
Step-by-step explanation:
472-120=352 sleep in a cabin
352÷8=44 cabins
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>
For example, the <u>difference</u> between a and b is:
a-b
On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.
For example:
c <u>times</u> n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
Answer:
P = -0.004Q + 149
Step-by-step explanation:
The general form of the linear equation is:

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

The linear equation is:
P = -0.004Q + 149