9514 1404 393
Answer:
(a) 3/2
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths.
sf = 63/42 = (21×3)/(21×2) = 3/2
Answer:
x=10
Step-by-step explanation:
first substitute y with the value (-5)
2x+5(-5)=-5 which is simplified to 2x+-25=-5
add 25 to -5 which gives you 2x=20
then divide 20 by 2 which makes x=10
Answer:
22.347 or 22.35
Step-by-step explanation:
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
Combine like terms to solve the equation
