Answer: The system of linear equations are
L + W = 45
L = 4W - 5
Step-by-step explanation:
Let L represent the length of the deck.
Let W represent the width of the deck.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2( length + width)
The perimeter of a rectangular wooden deck is 90 feet. This would be expressed as
90 = 2(L + W)
Dividing through by 2
L + W = 45
The deck's length,L is 5 less than 4 times its width, W. This is expressed as
L = 4W - 5
Answer:
31
Step-by-step explanation:
Red: 7
Yellow: 2*Red =14
Blue = Yellow - 4 = 10
Total = 31
Answer:
2
Step-by-step explanation:
You know 0, 1, and -1 are not roots, because the constant is not 0 and the coefficients don't add to 0, even when negating the ones of odd-degree terms.
When evaluating polynomials by hand, it often works well to write them in "Horner form."
P(x) = ((-2x +1)x +4)x +4
P(2) = ((-2·2 +1)2 +4)2 +4 = (-3·2 +4)2 +4 = -2·2 +4
P(2) = 0
2 is a root of P(x).
_____
I like a graphing calculator for questions like this. It can give an answer instantly. (The equation was pasted directly from the question into the calculator, so the solution took 2 clicks and 2 keystrokes.)
Answer:
Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.
Step-by-step explanation:
You can think of an <em>inverse </em>function as a function that “unwraps” x from whatever operations are attached to it. In the case of F(x) = √x, we can ”unwrap” x by squaring it. This narrows our options down to either A or D. Keep in mind that since there are no real number solutions to the square root of a negative number, we need to limit our domain to non-negative values. In other words, x ≥ 0. With that restriction, our answer is A.
