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patriot [66]
3 years ago
14

Using f(x) = 4x + 6 with the domain of {-1,0,2}, find the range

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
The range is the output of the function, and there are many ways to find it and write it. Let's find it first by plugging in all the domain values (domain means input) into the function:
f(-1) = 4(-1)+6=-4+6=2
f(0) = 4(0)+6=0+6=6
f(2) = 4(2)+6 = 8+6=14

We have all of our values. We can either write the range as:
{2, 6, 14}

or, subtract the smallest value from the largest one:
14-2=12

So, there are those ways to write it, there are more, but I think you should stick with the first way because that's how the problem was presented to you. If you have any questions, hmu!

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Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)
Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

When we solve this equation,

We found,

 x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


4 0
3 years ago
Chang runs each lap in 5 minutes. He will run at the most 30 minutes today. What are the possible numbers of laps he will run to
Ipatiy [6.2K]

Answer:

6

Step-by-step explanation:

all you have to do is 30 / 5 what equals 6

4 0
3 years ago
17 percent of what is 40<br>45 of 155 is what<br>What percent of 153 is 137<br>​
Keith_Richards [23]

Answer:

Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.

Number 2: 45 percent of 155 is 69.75.

Number 3: 137 is what percent of 153? = 89.54

3 0
3 years ago
Read 2 more answers
What is the surface area of each shape?
tino4ka555 [31]

Answer:

C

Step-by-step explanation:

Because I tried it and got this answer

5 0
3 years ago
Find the perimeter of a square with sides that measure 3.3 m.
Oduvanchick [21]
13.2 m. is the answer. Hope this helps you! 
5 0
3 years ago
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