Answer:
P(x) = - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = , x = -
Then the factors are (x - 2), (x + 2), (x - ), (x +
)
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x +
) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12
Given the function:
The function can also be written as:
The range of the function will be all set of y values.
To find the range, let's graph the function below.
We have:
From the graph above, all possibe y values range from 0 to infinity.
Therefore, the range of the function is from zero infinity.
In interval notation:
Range = (0, +∞)
ANSWER:
4. (0, +∞)
Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
ft
Hence, the height of fire hydrant=3 ft