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KengaRu [80]
3 years ago
12

Factor the polynomial using the pattern x^2-15x+54

Mathematics
2 answers:
lord [1]3 years ago
6 0
It would be (x-6)(x-9)

We know that X^2 factors out to x times x

54 could factor to 27*2, 54*1, 6*9, 3*18. You would need to find two numbers that would multiple to equal 54 and add up to equal -15. These two numbers would be -6 and -9. So the answer is (x-6) (x-9)
balandron [24]3 years ago
3 0

Answer:

x= 6 x= 9, or (x-6)(x-9)

Step-by-step explanation:

Find factors of 54.

1x54

2x27....so on

6x9

Find out which factors add or subtract to 15, knowing that 54 is positive, the two factors have to be either both negative or positive.

Then look at the middle number, -15. With it being negative, both factors will be negative because it is negative.

So, -6+-9=-15.

Next x^2 is actually x*x, so when you factor, one single x will go with one factor, and then you will pair the other two.

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Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport
Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.  

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0
3 years ago
Which equation is equivalent to x + 8 = 21? (x + 8) × 4 = 21 (x + 8) × 4 = 21 ÷ 4 (x + 8) × 4 = 21 × 2 (x + 8) × 4 = 21 × 4
Drupady [299]

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

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7 0
3 years ago
Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95
Veseljchak [2.6K]
The answer is 2.25h when we do theese equation
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3 0
3 years ago
Read 2 more answers
Combine and simplify the third set of terms 2+15a-2
Finger [1]
<span>2 + 15a - 2
= 15a (because 2 - 2 = 0)

hope it helps</span>
6 0
3 years ago
HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

3 0
3 years ago
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