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2 years ago

Factor the trinomial: 2x^2+13x+21

Mathematics

1 answer:

tankabanditka [31]2 years ago

6 0

Answer:

$(2x + 7) \times (x + 3)$

Step-by-step explanation:

${2x}^{2} + 13x + 21$

${2x}^{2} + 7x + 6x + 21$

$x \times (2x + 7) + 3(2x + 7)$

$= (2x + 7) \times (x + 3)$

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The school marching band has a budget of up to $750 to cover 15 new uniforms and

PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a. Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b. Solve the inequality and describe what it means in the situation.

$15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450$

Dividing both sides by 15

$\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30$

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

#LearnwithBrainly

3 0

2 years ago

Help me please i will mark brainliest if correct

iren2701 [21]

Answer:

7 x 2 + 31

Step-by-step explanation:

Equals to the bottom line answer is 7

7 0

2 years ago

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Elenna [48]

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8 0

1 year ago

A certain recipe ask for 5/9 flour and 1/3 flour. how much flour is needed ?

Bad White [126]

5/9 + 1/3 = 5/9 + 3/9 = 8/9 <==

6 0

2 years ago

Read 2 more answers

Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each

koban [17]

Answer:

5 word problems(4points each) & 10 open (3 points each)

Step-by-step explanation:

O= open response

W= word problems

W+O =15

4W + 3O = 50

multiply the first by -3 to eliminate O

-3W -3O = -45

4W + 3O = 50

AD BOTH

W = 5 ( 5 questions word problems)

O= 10 ( 10 questions open response)

5x4 = 20

10x3 = 30

20 + 30 = 50 points

3 0

2 years ago