Answer:
(x + 1)(x + 4)
Step-by-step explanation:
We want to factor x² + 5x +4 into two binomial factors. Note that 1*4 = 4 and that 1 + 4 = 5, so:
y = x² + 5x +4 = (x + 1)(x + 4)
Answer:
Step-by-step explanation:
Given: f(x)=5x^3-51x^2+77x+100/x^2-11x+24
Please use parentheses to eliminate any ambiguity:
f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)
or (better yet):
5x^3-51x^2+77x+100
f(x) = ---------------------------------
x^2 - 11x + 24
The vertical asymptotes here are at the zeros of the denominator:
x^2 - 11x + 24 = 0, This quadratic equation has coefficients a = 1, b = -11 and c = 24. Thus, its roots (zeros) are:
-(-11) ± √( 121 - 4(1)(24) )
x = -------------------------------------
2(1)
or:
11 ± √( 25 )
x = --------------------
2
or: x = 8 and x = 3
The vertical asymptotes are x = 8 and x = 3.
If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x. As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote. Continuing this division results in:
5x + 4 + a fraction
This represents the slant asymptote, y = 5x + 4
Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = 
= 
( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
Would it be 10-2?=8 quotient means divide
Perimeter is the sum of all outside dimensions.
Solve for x first:
12 + x+7 + x+2 + 5 + x +4 + x + 4 = 42
Combine like terms:
4x + 34 = 42
Subtract 34 from both sides:
4x = 8
Divide both sides by 4:
X = 2
Now solve for EF by replacing x:
EF =. X + 7 = 2 + 7 = 9 feet.
