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3 years ago

What is the factored form of 3x^2+21x-24

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Answer:

3(x-1)(x+8)

Step-by-step explanation:

3x2+21x−24

=3(x−1)(x+8)

Ber [7]3 years ago

6 0

Find the Greatest Common Factor (GCF)

GCF = 3

Factor out the GCF (Write the GCF first, then in parenthesis divide each term by the GCF)

3(3x^2/3 + 21x/3 - 24/3)

Simplify each term in parenthesis

3(x^2 + 7x - 8)

Factor x^2 + 7x - 8

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What is the distance between (4,2) and (-1,-3)

Sati [7]

<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

$5 \sqrt{2}$ or $7.071$

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

$(4,2)$

$(-1,-3)$

Solving for the Distance:

$\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}$

<u>Note:</u>

$5 \sqrt{2} \approx 7.071$

4 0

3 years ago

The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt

drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

$p=10/2900\approx0.00345$

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

$E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65$

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

8 0

3 years ago

The sum of three consecutive odd integers is 17 less than four times the smallest integer

Lilit [14]

$x = smallest \: int \\ x + (x + 2) + (x + 4) = 4x - 17 \\ 3x + 6 = 4x - 17 \\ 23 = x \\ numbers = 23 \: 25 \: 27$

4 0

3 years ago

DUE ASAP PLZ HELP (brainliest if you get it right)

sammy [17]

here's the right answer!

A) 76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

4 0

3 years ago

How many sides does a dodecahedron have?

777dan777 [17]

Answer:

twelve faces

Step-by-step explanation:

12 sides

6 0

3 years ago