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notsponge [240]
3 years ago
12

A biking track has a length of 0.9 miles . How long is this in feet ?

Mathematics
2 answers:
Anika [276]3 years ago
5 0
4,752 will be your answer
PtichkaEL [24]3 years ago
5 0
0.9 miles converted to feet is 4,752
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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Can some kind person help me with this it will really mean a a lot
nasty-shy [4]

Answer:

Table B

Table C

Table A

Step-by-step explanation:

Substitute by the easiest number which is 0

f(0) =2(0) - (-3) =3 Then it is Table B function

f(0) = -2(0) +(-1/3)= -1/3 Then it is Table C function

f(0) =2(0) +(2/3)=2/3 Then it is Table A function

6 0
2 years ago
You are a landlord, and your tenant complains that you are in violation of the ADA because your wheelchair ramp is too steep. An
Savatey [412]

Answer:

  Not justified

Step-by-step explanation:

ADA requirements are for a slope of 1 in 12 or less, an 8.3% grade, or an angle of 4.8° (actually, 4.764° when rounded to 3 decimal places). The ramp angle found by the assessor is compliant.

  The tenant complaint does not seem justified.

3 0
3 years ago
Mean, median, mode or standard deviation best represents the data​
pickupchik [31]

Answer:

mean

Step-by-step explanation:

7 0
2 years ago
25 - 4x = 15 - 3x + 1 - x
kenny6666 [7]

Hello!

To solve algebraic equations, we need to first, simplify the common terms, and secondly use SADMEP. SADMEP is strictly used to solve algebraic equations, and is used like PEMDAS. SADMEP is an acronym for subtract, addition, division, multiplication, exponents, and parentheses.

25 - 4x = 15 - 3x + 1 - x (simplify the common terms)

25 - 4x = 16 - 4x (subtract 16 from both sides)

9 - 4x = -4x (add 4x to both sides)

9 = 0 → This means that there is no solutions.

Therefore, this equation has no solutions, which are contradictions because those are the equations with no solution.

3 0
3 years ago
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