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Kisachek [45]
3 years ago
5

Which choice is the appropriate simplified form and restriction for the variable? 3x^2+9x over x^2-2x-15

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0
(3x^2 + 9x) / ( x^2 -2x -15)

Factor both polynomials

(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)

The simplified form is 3x/(x+5)

The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).

crimeas [40]3 years ago
3 0
If you would like to know what is the appropriate simplified form and restriction for the variable, you can calculate this using the following steps:

(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)

The simplified form is 3x / (x - 5) and the restriction for the variable would be x <span>≠</span> 5 and x ≠ -3.
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Is 120% less than, more than or equal to 1
kati45 [8]
120% is the same as 120/100

Divide 120 with 100

120/100 = 1.2

1.2 > 1 ∴ 120% is 'more than' 1


hope this helps
6 0
3 years ago
Pls answer this is due in 30 minutes
ziro4ka [17]

Answer:

1a) t = 0.17b

1b) $36.03

2) 51,167.50

Step-by-step explanation:

1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip

1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.

To find what the cost was without the tip, divide the bill total by 1.17

248/1.17 = 211.97. That was the bill before the tip was added.

248-211.97 = 36.03 was the tip added.

2) 5.5% converted to a decimal is 0.055

0.55 x 48,500 = 2667.50

$2,667.50 + $48,500 = 51,167.50

Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500

1.055 x 48,500 = 51,167.50

6 0
3 years ago
Or<br> Find the slope of the line <br> y<br> = <br> 9<br> 5<br> x<br> − <br> 9<br> 5<br> .
Elanso [62]

Answer:

Step-by-step explanation: 56776

8 0
3 years ago
Refer the homework helper what is the diffrence between the greatest green bean weight and the least green bean weight?
QveST [7]

Answer:

3/4 pounds

Step-by-step explanation:

Given the weights :

weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.​

Greatest weight = 1 pound

Least weight = 1/4 pound

Difference = greatest weight - Least weight

Difference = (1 - 1/4) pound

Difference in weight = 3/4 pounds

6 0
3 years ago
What Is 1 - 1/3? <br> Fraction Skills
ANEK [815]

Answer:

2/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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