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3 years ago

15

Use the table below of the function f(x) = x4 − 2x3 to answer this question: What is the average rate of change from x = −1 to x

= 1?

1 answer:

stealth61 [152]3 years ago

3 0

F (1) - f (-1) / 1- (-1) = -1 -3 / 1+1 = -4/2 = -2

/ are fractions the equal signs should break them up, hope this helps.

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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t

MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = $53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})$

now,

at height 53 above the ground, we get the equation as:

53 = $53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$

or

$50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 53 - 53

or

$\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

or

$\frac{\pi t}{16} = \frac{\pi}{2}$

or

t = 8 seconds

and,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = π

or

$\frac{\pi t}{16}= \pi + \frac{\pi}{2}$

or

$\frac{\pi t}{16}= \frac{3\pi}{2}$

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0

3 years ago

A family went to a baseball game. The cost to park cars was $5 and the cost per ticket was $21. Write a linear function in the f

Sophie [7]

Answer:

The total cost $y$ in dollars of going to the baseball game for $x$ people of a family can be given as:

$y=21x+5$

Step-by-step explanation:

Given:

At a baseball game:

Cost of car parking = $5

Cost per ticket = $21

To write an equation in the form of $y=mx+b$ representing the total cost of going to the baseball game.

Solution:

The total number of people in the family is = $x$

Using unitary method to find the cost of tickets for $x$ persons.

If 1 ticket costs = $21

<em>Then, $x$ tickets will cost in dollars</em><em> = </em> $21x$

Fixed rate for car parking = $5

Thus, the total cost $y$ in dollars of going to the baseball game for $x$ people of a family can be given as:

$y=21x+5$

5 0

3 years ago

Is 5 equal to -5 in math

elena-14-01-66 [18.8K]

Answer: No

Step-by-step explanation: If it is talking about the reciprocal then yes. Reciprocal is the opposite of your number.

Example: -4 IS 4 reciprocal.

6 0

3 years ago

Read 2 more answers

Is the term (x+1) a factor of the polynomial shown below? <br> f(x)=x^3-10x^2+27x-12

Ksenya-84 [330]

We can tell if this is a factor of the polynomial shown by using the remainder theorem.

First, we need to set x + 1 equal to 0.

x + 1 = 0

Now, we solve for x.

x = -1

Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.

(-1)^3 - 10(-1)^2 + 27(-1) - 12 = -50

x + 1 is not a factor of the provided polynomial.

7 0

3 years ago

Read 2 more answers

Sion 5(7 - 4)2 + 3+ 11.

netineya [11]

Answer:

44

Step-by-step explanation:

use the order of operations

5 (3) 2 + 3 + 11. solve within parenthesis

15 × 2 + 3 + 11. multiply left to right

30 + 3 + 11. multiply left to right

33 + 11. add left to right

44. add

the order of operations is more commonly known as PEMDAS.

(parenthesis, exponents, multiply and divide, add and subtract)

If you are still confused there is a Brain Pop about PEMDAS. just search "order of operations" on the brain pop website

3 0

3 years ago