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neonofarm [45]
2 years ago
8

Which statements are true for the function y=Ixl -2?

Mathematics
1 answer:
Arada [10]2 years ago
7 0

Answer:

The vertex of its graph is at (0,-2)

It's the correct answer!

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Which of the following sets of lengths can Sean use to make a right triangle?
love history [14]

If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:

8² + 15² = 17²

If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time.  But for now let's just exhaustively check the Pythagorean Theorem for each triangle.  We don't have to multiply everything out; we can analyze the common factors.  If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.

Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.

6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.

15²-5² is a multiple of 5, 13² isn't, no joy.

8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.

5 0
3 years ago
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work
Alona [7]

Answer:  

1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

    = 18x - 144 + 96

    = 18x - 48           for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

4 0
3 years ago
Reggie is planning to visit a clients office. He is taking a plane to get there, and the flight is scheduled to take five hours.
lilavasa [31]

Answer: <em> x>6</em>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone pls help ASAP :) I’ll give brainiest
Anna71 [15]

Answer:

D. (2x)(3x) + 5(3x - 2)

<em>good luck, i hope this helps :) </em>

<em />

5 0
3 years ago
What is another way to write 56
SashulF [63]

Answer:

\frac{112}{2}

Step-by-step explanation:

Another way to express 56 is \frac{112}{2} because they are equal values.

3 0
3 years ago
Read 2 more answers
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