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Answer:
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.
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The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.
The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Answer:
x = -33
Step-by-step explanation:
the explicit formula for aₙ the nth term of the sequence will be:
Step-by-step explanation:
The explicit formula of geometric sequence is of the form:
where a₁ is the first term and r is the common ratio.
We are given:
a₁ = 6
r = 2/3
Putting values in the formula:
So, the explicit formula for aₙ the nth term of the sequence will be:
Keywords: Explicit formula for geometric sequence
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The equation used for this problem is
F = P(1+i)ⁿ
where
F is the future worth
P is the present worth
i is the effective interest rate
n is the number of years
Substituting the values,
F = <span>$8,000(1 + 0.03)</span>⁴
F = $9,004.07
Thus, after 4 years, Aaron will have $9,004.07.
Answer:
Statement: ∠XYZ = ∠ABC Reasons: Below
Step-by-step explanation:
For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.
