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grin007 [14]
2 years ago
9

State the smallest possible value of x if x is an integer for the following inequality.

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
7 0
Answer: -22 is the smallest possible value of x
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Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The t
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Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=\frac{2}{5}x-60

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

x=\frac{y-150}{2.5}

x=\frac{y}{2.5}-\frac{150}{2.5}

x=0.4y-60=\frac{2}{5}y-60

Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u>\frac{2}{5}x-60<u><em></em></u>

7 0
3 years ago
A northbound bus returns to the bus stop every 20 minutes. The southbound bus returns to the bus stop every 25 minutes.How long
Klio2033 [76]
They  stop at the  same time after 4  times for  the southbound bus to return and five times for the northbound bus returns to the bus stop
 
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3 years ago
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Consider the line y=9x-1.
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Step-by-step explanation:

Slope=9

i)

y−y1=m(x−x1)

When line is parallel

y+5=9(x-6)

y+5 = 9x - 54

<h3>59 = 9x-y </h3>

When line is perpendicular

y+5=-1/9(x-6)

9(y+5)= -1(x-6)

9y + 45 = -x+6

<h3>x+9y = -39</h3>

<h2>MARK ME AS BRAINLIST </h2>
5 0
2 years ago
There are 63 students in band. This represents 30% of the grade. How many students are in the entire grade
almond37 [142]

So, the question is 63 is 30% of what number?

That can translate to the equation

     63 = 30% · x     or     63 = 0.3x

Divide by 0.3 and you get x = 210.

There are 210 students in band.

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2 years ago
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50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. Wha
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12 out of 50 are over 6 feet (12/50)
Therefore 38 are under 6 feet (38/50)

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