Answer:
x = -6,6
Step-by-step explanation:
h(x)=−5x^2 +180
Assuming you want to find the zero's
0 =−5x 2 +180
Subtract 180 from each side
0-180=−5x^2 +180-180
-180 = -5x^2
Divide each side by -5
-180/-5 = -5x^2/-5
36 = x^2
Take the square root of each side
±sqrt(36) = sqrt(x^2)
±6 = x
x = -6,6
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
Learn more about Polynomial here:
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Answer:
W = 6 feet
L = 15 feet
Step-by-step explanation:
The perimeter of the rectangle is the length of the outer boundary.
If length is defined as L and width is defined as D,
Perimeter = 2(L + W)
Perimeter is given to be 42 feet.
2(L + W) = 42
(L + W) = 21 ------------------(1)
Also , Its length, L, is three feet more than twice its width, W.
L = 2W + 3 -------------------(2)
Solve (1) and (2) ,
3W + 3 = 21
W = 6 feet
L = 15 feet
Answer:A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation
Step-by-step explanation:
A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation. A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant. Discontinuous Function. A function whose graph has one or more jump, breaks, of holes.
Answer:
Step-by-step explanation:
Given that Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that each of their offspring will develop the disease is approximately 0.25.
Let X be the no of children having this disease out of 4 occasions
Then X has two outcomes and each trial is independent of the other trial
Hence X is binomial with n =4, and p = 0.25
a)
b)
c) since independent.