which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function? a. the graph of f(x) passes the vertical line test. b. f(x) is a one-to-one function. c. the graph of the inverse of f(x) passes the horizontal line test. d. f(x) is not a function.

Answers

Answer 1
Answer: f(x) is a one-to-one function.
Answer 2
Answer: B- f(x) is a one-to-one function

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A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the nearest tenth of a second and enter only the number.)HINTS:• When the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation.• Though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). Take the a, b, and c values from the function in the question above.• When you solve the quadratic for the zeros, you will have two answers. One of the answers will not make sense for a baseball hit into the outfield. The one that does make sense will be the correct answer.
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Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.2, 6, 10, 14, 18,

I need some help with sequences

Answers

Sequences are based off of the directions, if it is least to greatest it is the smallest number, if you can't figure it out it is the farthest on the left of a number line the the farthest on the tight. If it is greatest to least, it is the biggest number first and the smallest last, if you can't figure that out it is the farthest on the right to the farthest on the left.

1. It is adding 5 each time so the next two are 31,36

2. Same thing 28,33

All you have to do is find the sequence I between them. Hope this helps!

If f(1) =8 and f(n) =1/2f(n-1) + 2 then what is the value of f(4)?I can't get it! PLEASE HELP!!!!!

Answers

If you would like to know the value of f(4), you can calculate this using the following steps:

f(n) = 1/2 * f(n-1) + 2
f(1) = 8

f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2

The correct result would be 4 1/2.

What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.

Answers

Answer:

{-5,15}

Step-by-step explanation:

because this function is constantly decreasing, we can get our range by looking at the endpoints:

f(-5) = 15

f(5) = -5

in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.

Answers

(x)/(y)- rational\ number\n\n2x-2=y\n\n (x)/(2x-2)- rational \ number\n\n (x+3)/(2x-2+3)=(2)/(3)\n\nCross\ multiplication\n\n3(x+3)=2(2x-2+3)\n\n3x+9=2(2x+1)\n\n3x+9=4x+2\n\n3x-4x=2-9\n\n-x=-7\ |*(-1)\n\nx=7\n\nOriginal \ number\ is\ (7)/(2*7-2)=(7)/(12)

Does the rule y=-3x^5 represent an exponential function?

Answers

Hello,

y=-3*(x^5) is not an exponential equation but a polynomial equation.

Final answer:

The equation y=-3x^5 is not an exponential function. It is actually a polynomial function, specifically a quintic function. In an exponential function, the variable is in the exponent, which is not the case in this function.

Explanation:

The function you proposed, y=-3x^5, does not represent an exponential function. The primary characteristic of an exponential function is that the variable, in this case 'x', is in the exponent e.g. y = b^x where b is a positive constant.

In your equation, the variable 'x' is the base of the power, not the exponent. Thus, y=-3x^5 is a polynomial function, specifically it's a quintic function because the largest exponent is 5.

The output of an exponential function grows or decays proportionally, whereas for a quintic function, the growth rate will not necessarily be proportional.

Learn more about Exponential Function here:

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why is the following incorrect? 296 divided by 6 equals 48 remainder 8.Write your answer before you complete the calculation

Answers

296 divided by 6 equals 49 remainder 2