if k is a constant, determine and state the value of kids such that the polynomial k^2x^3-6kx+9 divisible by x-1
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which occurs for
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An odd number on a spinner with equal sized sections labeled 1-8A. a number less than 4 B. a number greater than 4 C. a multiple of 3 D. an even number
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Britt hires a personal trainer for the summer.The trainer charges a $40 sign up fee plus$22.50 per hour. If Britt spends a total of$940 over the summer, how many hours didshe train with the trainer?
Fill in the common equivalents. 1.) 662/3% = ?/?
72-6x
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i. 10 weeks
ii. 20 weeks
b)How many weeks will it take for the ant population to reach 2000.
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Answer:
a) (i) 1553 ants
(ii) 4823 ants
b) 12 weeks
Step-by-step explanation:
Given,
The initial number of ants, P = 500,
Also, the rate of increasing per week, r = 12% = 0.12,
So, the number of ants after x weeks,
a) (i) If x = 10 weeks,
The number of ants would be,
(ii) If x = 20 weeks,
The number of ants would be,
b) If A = 2000
Taking log both sides,
log(4) = xlog(1.12)
⇒ x = 12.23 ≈ 12 weeks
B)13 Weeks
A: 500 (1 + .12)^x (which is 500 (1 + .12)^20 now)
= 4823. 15 which is ≈ 4823.
B: 2000/ y1 = 500 (1 + .12)^x / y2
12.23 so 13 weeks
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Answer:
5 cm
Step-by-step explanation:
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explaination:
figure out how many days that is (9) then divide that by how many days in october (31)
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Answer:
To find the horizontal asymptote of the function,
we need to find the intersection points of the function with the
y-axis.
These points are the solutions of the equation
f(x) = 0.
We decompose the function in the form of the product of two expressions:
f(x) = (x + 4)(x² + 13x + 36)
Now we can set each of the expressions inside the parentheses equal to zero and solve the horizontal equations:
x + 4 = 0 or x² + 13x + 36 = 0
To solve the first equation
, we can factor out
x: x = -4
To solve the second equation, we can use the analysis method or the quadratic formula.
Using the analysis method, we can decompose the expression
x² + 13x + 36 in the following form:
(x + 4)(x + 9) = 0 So the two horizontal equations are equal to
x + 4 = 0 (that is, x = - 4) and x + 9 = 0 (that is, x = -9).
So the horizontal asymptote of the function
f(x) = (x + 4)(x² + 13x + 36) is equal to
x = -4 and x = -9.
Final answer:
The horizontal asymptote of the function f(x) = (x+4)(x²+13x+36) is y = x³.
Explanation:
The function given is f(x) = (x+4)(x²+13x+36). To find the horizontal asymptotes, we need to determine the behavior of the function as x approaches positive and negative infinity.
As x approaches positive or negative infinity, the function behaves like the highest power term in the expression. In this case, the highest power term is x³, so the horizontal asymptote is y = x³.
Therefore, the horizontal asymptote of the function is y = x³.
Learn more about Horizontal asymptotes here:
#SPJ11
Y-Intercept: -5
Equation: ______________
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Answer:
y = 12x - 5
Step-by-step explanation:
Answer:
y = (12 - 5)
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