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3 years ago

Find an equation for a quartic function containing the following points: (2, 60), (-3, 0), (-1, 0), (4, 0), (1, 0).

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

5 0

Answer:

Step-by-step explanation:

tia_tia [17]3 years ago

3 0

Answer:

f(x) = -2(x + 3)(x + 1)(x - 4)(x - 1) or

f(x) = -2x^4 + 2x^3 + 26x^2 - 2x -24.

Step-by-step explanation:

The zeros of the function are at (-3, 0), (-1, 0), (4, 0), (1, 0) so in factor form the function is:

a(x + 3)(x + 1)(x - 4)(x - 1) where a is some constant.

We find a by substituting the point (2, 60)

60 = a(2+3)(2+1)(2-4)(2-1)

-30a = 60

a = -2.

So the function is -2(x + 3)(x + 1)(x - 4)(x - 1) .

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Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes

Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

$cost(x) = 15 + 6.25*x$

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

$cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8$

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0

3 years ago

1. You can buy six cans of root beer for $2.50. How many cans of root beer

zmey [24]

Answer

24 cans

Step by Step explanation

10$ / 2.5$ = 4

6 * 4 = 24

6 0

3 years ago

A group of friends were working on a student film. They spent $481 on costumes, which was 37% of their total budget. What was th

iogann1982 [59]

The total budget for the student film was $1300 and $481 was spent on costumes

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the total budget for the student film.

The student spent $481 on costumes, which was 37% of their total budget, hence:

37% of x = 481

0.37x = 481

x = $1300

The total budget for the student film was $1300 and $481 was spent on costumes

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0

2 years ago

The sum of 2 consecutive odd integers is 92. Find the numbers.

padilas [110]

Answer:

45, 47

Step-by-step explanation:

Their average, 92/2 = 46, is the even integer between them. The two integers of interest are 45 and 47.

___

Any consecutive integers of the same parity (odd or even) differ by 2. If x is the smaller, then x+2 is the larger.

We suppose you're supposed to write the equation ...

x + (x+2) = 92

2x = 90 . . . . . . subtract 2

x = 45 . . . . . . . .the smaller integer is 45; the larger one is x+2 = 47.

6 0

3 years ago

Read 2 more answers

Kendra paid $7 for her admission ticket to the fair and bought 12 ride tickets. She spent a total of $31 on admission and ride t

Bogdan [553]

X= one ride ticket
12x+7=31
-7 -7
12x = 12x
--- ---
12 12
x=2
$2

5 0

4 years ago