the functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)? the y-intercept of f(x) is equal to the y-intercept of g(x). the y-intercept of f(x) is equal to 2 times the y-intercept of g(x). the y-intercept of g(x) is equal to 2 times the y-intercept of f(x). the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Answers
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
How to determine the y-intercepts?
The function f is given as:
f(x) = -6(1.02)^x
Set x to 0
f(0) = -6(1.02)^0
Evaluate
f(0) = -6
From the table of function g(x), we have:
g(0) = -3
This means that:
f(0) = 2 * g(0)
Hence, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
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The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)?
Answer:
the y-intercept of f(x) is equal to 2 times the y-intercept of g(x)
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An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house? Enter your answer in the box.A rectangle has a length of 6 inches and a width of 3 inches. What is the effect on the perimeter when the dimensions are multiplied by 8? The perimeter is increased by a factor of 8. The perimeter is increased by a factor of 24. The perimeter is increased by a factor of 64. The perimeter is increased by a factor of 256. This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box.
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Using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.
To find the width of the rectangle, we need to rearrange the formula P = 2L + 2W to solve for W.
Starting with P = 2L + 2W, we can isolate W by subtracting 2L from both sides:
P - 2L = 2W
Now we divide both sides by 2 to isolate W:
W = (P - 2L) / 2
Substituting the given values, we get:
W = (112 - 2(34)) / 2
W = (112 - 68) / 2
W = 44 / 2
W = 22
Therefore, the width of the rectangle is 22 ft.
In summary, using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.
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B.48 cm²
C. 24 cm²
D. Can't be determind
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x is the number, and .8 is the decimal equivalent of 80%.
1.8x = 252
x = 140
Final answer:
To find the original number, 'a', in this algebra problem, we set up and simplify the equation a + 0.80a = 252 to get a = 252 ÷ 1.80. Solving this equation will give us the value of 'a'.
Explanation:
The subject here is mathematics, specifically algebra. The problem can be solved by setting up an equation that represents the described scenario. Let 'a' be the unknown number. The problem states that adding 80% of 'a' to the number gives us 252. This can be expressed as the equation: a + 0.80a = 252.
By simplifying this equation, we get 1.80a = 252. To find the value of 'a', we divide both sides of the equation by 1.80. Doing that, we get a = 252 ÷ 1.80. Hence solving this will give us the original number
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The degree of the second term is... 2
The degree of the third term is... 4
b) The leading term of the polynomial is... 7t⁴
The leading coefficient of the polynomial is... 7
c) The degree of the polynomial is... 4
b)
c) 4