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oksian1 [2.3K]
3 years ago
5

Carter was given a box of assorted chocolates for his birthday. Each night, Carter treated himself to some chocolates. Carter at

e 5 chocolates each night and there were originally 30 chocolates in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Carter's birthday.
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
C(t) = 30 - 5t ur very much welcome
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The function t(x) = 3x + 5 determines how many cans of corn kernels a food truck needs to stock, where x is the number of shifts
Inessa [10]

Answer: 31


Step-by-step explanation:

Given: The function t(x) = 3x + 5 determines how many cans of corn kernels a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck.

At x=3

t(3)=3(3)+5=14

The crew uses c(t(x)) to find the amount of money to spend on corn. The function c(x) = 2x + 3

When the crew is going to work 3 shifts,the amount of money must be spent

=c(t(x))=c(14)=2(14)+3=28+3=31

The amount of money must be spent when the crew is going to work 3 shifts=31

6 0
3 years ago
Read 2 more answers
Find the slope of the line passing through <br> (-8,10) and (-8,-7)
Anvisha [2.4K]

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - 10 / -8 - (-8)

-17/0

= 0

5 0
3 years ago
Using an example, explain what the graph of a rational function looks like. Contrast this with other functions we have studied.
Naddika [18.5K]

The graph of a rational function differs from that of other functions with the existence of asymptotes

<h3>Graph of rational functions</h3>

The properties of the graph of a rational function include;

  • The graph of a rational function never crosses its vertical asymptote
  • It crosses its horizontal or slant asymptote
  • The graph of the reciprocal function y = 1/x or y = k/x is a rectangular (or right) hyperbola of which asymptotes are the coordinate axes

The graph of a rational function differs from that of other functions with the existence of asymptotes.

Learn more about rational functions here:

brainly.com/question/1851758

#SPJ1

8 0
1 year ago
In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18
Alborosie

Answer:

Nolan hitted 8 home runs

Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

N + D = 18

Now we can solve the system of equations, using the value of N from the first equation in the second one:

2 * (D - 6) + D = 18

2*D - 12 + D = 18

3*D = 30

D = 10

Now we find N:

N + D = 18

N + 10 = 18

N = 8

So we have that Nolan hitted 8 home runs.

4 0
3 years ago
Which table contains the vertex of the graph represented by y=x^2-6x+4?
Vaselesa [24]

vertex = (3,- 5 )

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² - 6x + 4 is in standard form

with a = 1, b = - 6 and c = 4, hence

x_{vertex} = - \frac{-6}{2} = 3

substitute this value into the equation for y- coordinate

y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5

vertex = (3, - 5 ) → second table




7 0
3 years ago
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