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SOVA2 [1]
3 years ago
12

Factor completely 5x2 − 5x − 100.

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0
First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
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What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?
stiks02 [169]
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
4 0
3 years ago
given that sin x < cos x and 0° < x < 90°, state a possible value of x. explain your answer clearly.​
Ahat [919]

Answer:

See below.

Step-by-step explanation:

When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.

The cosine of x  has the reverse  value: cos x is 1 for x = 0 and 0 for x = 90 degrees.

At x = 45 the sine and cosine are equal in value.

So for sin x < cos x the value of x must be between 0 and 45  degrees.

So a possible value of x  is 30 degrees.

When x = 30 sin x = 0.5 and cos x = 0.866.

7 0
3 years ago
Is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B47%20%7D" id="TexFormula1" title="\sqrt{47 }" alt="\sqrt{47 }" align="absmiddle"
Fudgin [204]

Answer:

irrational

Step-by-step explanation:

sqrt 47 is 6.8556546

7 0
3 years ago
How would you solve a inequality like: 15-13(2x+6)&lt; 15-3(6x-7)
Arturiano [62]
<span>15 - 13(2x + 6) < 15 - 3(6x - 7)
15 - 26x - 78 < 15 - 18x + 21
-26x -63 < -18x + 36
-8x < 99
   x > -99/8
or
   x > - 12.375

</span>
3 0
3 years ago
Read 2 more answers
matt and brian were solving a system of equations. they both noticed that the two lines had the same slope. brian said that beca
Vesna [10]

Answer:

Matt is correct

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

In this problem we can have two cases

case 1) The two equations are equal, in this case the system has infinite solutions

case 2) The two equations have the same slope but different y-intercept, in that case the system has no solution.

therefore

Matt is correct

7 0
3 years ago
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