I believe the answer is 210 because 1m= 26.25 and that x's 8= 210
Answer:
a) -12
b) 8+11x+11b-3x^2-3b^2-6xb
c)-52
Step-by-step explanation:
in a) we have to substitute the value of x with 5
in b) we substitute the value of x with (x+b) and then simplify
in c) just have to substitute x with -3
<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>
Find the common ratio by dividing.
16 / 8 = 2
8 / a = 2
2 / b = 2
The common ratio is 2.
Since we need to find the values of a and b, use the common ratio to solve for them.
8 / 2 = 4 (a)
2 / 2 = 1 (b)
Now, we know that first 5 terms.
We can solve for the 8th term using the previous terms and the common ratio.
6th term: 1 / 2 = 0.5
7th term: 0.5 / 2 = 0.25
8th term: 0.25 / 2 = 0.125
Part A: 2
Part B: a = 4, b = 1
Part C: 0.125
Best of Luck!
P(allergic) = 0.15
P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)
Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability
Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555
P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444