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DaniilM [7]
3 years ago
13

An art school charges a materials fee in addition to a fee per class. The equation below represents the total cost of y after x

classes.
y=40x- 25

How many dollars is the fee for one class?
Mathematics
1 answer:
Olin [163]3 years ago
7 0
Hi there!

To find the amount of money needed for one class, we need to plug 1 into the equation as x, since x represents the amount of classes.

y = 40(1) - 25
y = 40 - 25
y = 15

So, it would cost 15 dollars.

Hope this helps!
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Find the first of three consecutive even integers if the sum of the first and second is 15 less than 3 times the third.
lilavasa [31]

Answer:

<em>First even integer: 6</em>

Step-by-step explanation:

<u>Inequalities</u>

Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.

The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:

x+x+2

Operating:

2x+2

Subtracting 2 and 2x:

0

Simplifying:

0

Solving:

x>5

There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):

First integer: 6

Second integer: 8

Third integer: 10

There are other solutions, like 20,22,24 but the first set is 6,8,10.

4 0
3 years ago
Which term describes the set of all possible output values for a function?
allsm [11]

Answer:

Step-by-step explanation:

This would be called the range.

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What is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3
Alexeev081 [22]

Answer: (b)

Step-by-step explanation:

Given

There are five consecutive integers and the least minus twice the greatest equals to -3

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According to the question

\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5

option (b) is correct.

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Hello!
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