Answer:
14,621 lbs.
Step-by-step explanation:
It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.
<u>Step-by-step explanation:</u>
transform the parent graph of f(x) = ln x into f(x) = - ln (x - 4) by shifting the parent graph 4 units to the right and reflecting over the x-axis
(???, 0): 0 = - ln (x - 4)

0 = ln (x - 4)

1 = x - 4
<u> +4 </u> <u> +4 </u>
5 = x
(5, 0)
(???, 1): 1 = - ln (x - 4)

1 = ln (x - 4)

e = x - 4
<u> +4 </u> <u> +4 </u>
e + 4 = x
6.72 = x
(6.72, 1)
Domain: x - 4 > 0
<u> +4 </u> <u>+4 </u>
x > 4
(4, ∞)
Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that
No vertical asymptotes
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transform the parent graph of f(x) = 3ˣ into f(x) = - 3ˣ⁺⁵ by shifting the parent graph 5 units to the left and reflecting over the x-axis
Domain: there is no restriction on x so domain is all real number
(-∞, ∞)
Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0. the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.
(-∞, 0)
Y-intercept is when x = 0:
f(x) = - 3ˣ⁺⁵
= - 3⁰⁺⁵
= - 3⁵
= -243
Horizontal Asymptote: y = 0 <em>(explanation above)</em>
Answer:
16
+ 2t - 6
Step-by-step explanation:

simplify

combine like terms
16
+ 2t - 6
Step-by-step explanation:
f(x)=2x-7.
by substituting value 0 for x,
f (0)=2×0-7
f (0)=-7
Answer:
6 miles per hour
Step-by-step explanation:
we'll set up the problem like this:
3/4 mi = 1/8 hr
now multiply each side by 8:
24/4 mi = 1 hr
simplify:
6 mi = 1 hr