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just olya [345]
3 years ago
11

Please help thank u

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

2 {x}^{2}  + 13x + 15 \\ 2 {x}^{2}  + 10x + 3x + 15 \\ 2x(x + 5) + 3(x + 5) \\ (2x + 3)(x + 5)

5 {x}^{2} +  21x + 4 \\ 5 {x}^{2}  + 20x + x + 4 \\ 5x(x + 4) + 1(x + 4) \\ (5x + 1)(x + 4) \\

7 {x}^{2}  - 59x + 24 \\  7 {x}^{2}  - 56x - 3x + 24 \\ 7x(x - 8) - 3(x - 8) \\ (7x - 3)(x - 8)

2 {x}^{2}  + 11x - 13 \\ 2 {x}^{2}   - 2x + 13x - 13 \\ 2x(x - 1) + 13(x - 1) \\ (2x + 13)(x - 1)

8 {x}^{2}  + 29x - 12 \\ 8 {x}^{2}  + 32x - 3x - 12 \\ 8x(x + 4) - 3(x + 4) \\ (8x - 3)(x + 4) \\  \\

12 {x}^{2}  - 7x - 12 \\ 12 {x}^{2}   + 9x - 16x- 12 \\3x(4x + 3) - 4(4x + 3) \\ (3x - 4)(4x + 3)

- 12 {x}^{2}  - 35x - 18 \\  - 12 {x}^{2}  - 8x - 27x- 18 \\  - 4x(3x - 2) - 9(3x - 2) \\ ( - 4x - 9)(3x - 2)

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What is the following quotient
Likurg_2 [28]

Answer:

Rationalize the denominator by multiplying by the conjugate of (1 + √3), namely (1 - √3). this gives us

(1 - √3) / (1 - 3) or (1 - √3) / -2, which can be rewritten as

(-1 + √3)/2, the last answer choice.

7 0
3 years ago
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ra
ANEK [815]

The two ratios in the tables shown which have a common denominator you could use to compare is; 3/12 and 4/12

<h3>Ratio</h3>

Machael's ratio:

lemons to water = 1:4

Equivalent ratio

= 3 : 12

= 4 : 16

Sondra's ratio:

lemons to water = 2 : 6

Equivalent ratio

= 4 : 12

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Therefore, the two ratios in the tables shown which have a common denominator you could use to compare is; StartFraction 3 Over 12 EndFraction and StartFraction 4 Over 12 EndFraction

Complete question

Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables. Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?

Learn more about ratio:

brainly.com/question/4301994

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8 0
2 years ago
a small business owner ships jars of homemade honey. four jars weigh a total of 7.4 pounds . how much will 24 jars weigh?
amm1812

Step-by-step explanation:

7.4÷4= 1.85

1 jar weighs 1.85 pounds

1.85×24= 44.4 pounds

another way:

7.4x6= 44.4pounds

3 0
3 years ago
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I believe what we are looking for is area. If so the formula for area of a rectangle is area equals width times length
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So:

9*13=117

The area would be 117, the amount of wall space needed is 117.

Hope this helps:)
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3 years ago
What are the domain and range of the function f(x)=3 over 4 x+5
Simora [160]

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

5 0
3 years ago
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