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tester [92]
3 years ago
8

Factorise x2 + 5x - 24

Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

(x+8)(x-3)

Step-by-step explanation:

x2+5x-24

product 1 ×-24= -24

  • sum -3 and 8
  • (x2 -3x )(+ 8x -24)
  • x(x-3) +8(x-3)
  • (x+8)(x-3)
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Which quadratic function is represented by the graph?
Fantom [35]

Answer:

y=5(x-7)(x-5)

Step-by-step explanation:

8 0
3 years ago
Use the commutative property of addition to simplify 12x - 36 - 6x.
nexus9112 [7]

12x - 36 - 6x \ is \ simplified \ to \ 6(x-6)

<h2>Explanation:</h2>

The commutative property of addition states that:

a+b=b+a

So applying this property to our expression we have:

12x - 36 - 6x=-6x+12x-36 \\ \\ \\ So \ here: \\ \\ a=12x-36 \\ \\ b=-6x \\ \\ \\ Combining \ like \ terms: \\ \\ 12x - 36 - 6x=6x-36 \\ \\ \\ Common \ factor \ 6: \\ \\  12x - 36 - 6x=6(x-6) \\ \\ \\ Finally: \\ \\ 12x - 36 - 6x \ is \ simplified \ to \ 6(x-6)

<h2>Learn more:</h2>

Evaluating expression: brainly.com/question/14423698#

#LearnWithBrainly

6 0
3 years ago
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The volume of the triangular prim is 250 cubic inches. What is the value of x
Vinvika [58]

Answer:

12 in

Step-by-step explanation:

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7 0
3 years ago
How do I do this?? Please help!!!!
iris [78.8K]

Winston would need to sell 14 more hot dogs to earn $175

Step-by-step explanation:

The given is:

  • Winston earns $140 by selling 56 hot dogs
  • He is using the same rate for the cost of one hot dog
  • He want to earn $175

We need to find how many more hot dogs would Winston need to sell to earn $175

∵ The he sold 56 hot dogs for $140

- Find the price of each hot dog by dividing 140 by 56

∴ The price of each hot dog = 140 ÷ 56 = 2.5

∴ The price of each hot dog is $2.5

∵ He need to earn $175

∵ He sells all hot dogs by the same price

- Divide 175 by 2.5 to find the number of the hot dogs

∵ 175 ÷ 2.5 = 70

∴ He must sell 70 hot dogs to earn $175

∵ He already sold 56

- Subtract 56 from 70 to find how many more hot dogs he

   needs to sell

∵ 70 - 56 = 14

∴ He must sell another 14 hot dogs to earn that money

Winston would need to sell 14 more hot dogs to earn $175

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

4 0
3 years ago
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