Answer:
Some of the possible factorizations of the monomial given are:


Step-by-step explanation:
To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:
- Descompose into prime numbers:

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:


When the penny hits the ground, h will = 0.
So: Set h(t) = 0 = -4.9t^2 + 0t + 150 m
Then 4.9t^2 = 150, and so t^2 = sqrt(150 / 4.9) = plus or minus 5.53 sec.
We can use only the positive root, as we're measuring time.
t = 5.5 sec (answer)
Answer:
The first plant produces 2x + 21 more items daily than the second plant.
Step-by-step explanation:
The daily production of the two plants are:
Plant 1: 5x + 14
Plant 2: 3x - 7
Compute the number of items first plant produces more than the second plant as follows:

Thus, the first plant produces 2x + 21 more items daily than the second plant.
Step-by-step explanation:
y = 8x² + 8x - 96
y = 8(x² + x - 12)
y = 8(x + 4)(x - 3)
When y = 0, 8(x + 4)(x - 3) = 0.
=> x = -4 or x = 3. (B)
Answer:
The distance from the house to the school is equal to 
Step-by-step explanation:
Let
A-----> the distance from house to the park
B----> the distance from the park to the school
C----> the distance from house to the school
so

we know that


so
Find the the value of C


therefore
The distance from the house to the school is equal to 