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2 years ago

Factor out the common factor. 2x4 + 5x3 – 8x –20 (x3 + 4)(–2x – 5) (x3 – 4)(2x + 5) (x3 + 4)(2x + 5)

Mathematics

2 answers:

Brums [2.3K]2 years ago

7 0

Answer:

$(x^3-4)(2x+5)$

Step-by-step explanation:

$2x^4 + 5x^3 - 8x -20$

To factor this we use grouping method

$(2x^4 + 5x^3)+(- 8x -20)$

Take out GCF from each group. x^3 is the GCF for first group and -4 is the GCF from second group

$x^3(2x+5)-4(2x+5)$

Now we factor out 2x+5

$(x^3-4)(2x+5)$

horsena [70]2 years ago

4 0

Answer:

The common factor is (x3 – 4)(2x + 5)

Step-by-step explanation:

1. find gcf

2. factor out the gcf

3. use grouping

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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles

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The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900

b. Two possible combination of x and y are; (600, 300) and (300, 600)

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

x + y ≤ 900

b. Two possible combinations are;

First possible combination;

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Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

First combination; (600, 300)

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

Second combination; (300, 600)

Learn more about inequalities here:

brainly.com/question/22976364

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<h3>Answer: Choice H) 2</h3>

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Explanation:

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$\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\$

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Through similar calculations, $\cos x = \sqrt{1-\sin^2x}\\\\$

Cosine is also positive in this quadrant.

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