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maks197457 [2]
3 years ago
13

If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)?

Mathematics
2 answers:
dusya [7]3 years ago
7 0
I would assume that you subsitute as usual, but g is negative
(f-g)(x)=(3x+2)-(2x-2)
(f-g)(x)=3x+2-2x+2
(f-g)(x)=x+4
aivan3 [116]3 years ago
5 0
f(x)=3x+2 \\
g(x)=2x-2 \\ \\
(f-g)(x)=f(x)-g(x)=3x+2-(2x-2)=3x+2-2x+2=\\
=x+4 \\ \\
\boxed{(f-g)(x)=x+4}
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Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha
Alina [70]
<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

b + (c \times s)

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales \geq 2500

900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500

Solve the inequality

0.05s\geq 2500-900\\\\0.05s \geq  1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

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3 years ago
A surveyor wants to know how many shoppers at a mall like to read books. He surveys 100 people coming out of a bookstore at the
denpristay [2]
Its B. <span>People who shop in bookstores are likely to read more books than those who do not.</span>
4 0
3 years ago
What is 3/4 gallon in quarts?
Basile [38]

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Step-by-step explanation:


5 0
2 years ago
Find the x-intercept of 3x + 2y = 12 is (__, 0)
Anettt [7]
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(x, y) = (__, 0)

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3 years ago
By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i &lt; ji
Dafna11 [192]

Answer:

There are a total of  { 6 \choose 3} = 20 functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

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