All categories

2 years ago

Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)

Mathematics

1 answer:

hodyreva [135]2 years ago

4 0

Answer:

$8 {a}^{3} + {36a}^{2} + 54a + 27 \\$

Explanation:

Binomial theorem,

${(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3}$

You might be interested in

If x = 2a - b^2, then b equals

kvasek [131]

X = 2a - b²
x - 2a = b²
√x-2a = b

Just to clarify, all of x-2a is under the square root.

7 0

3 years ago

Find the Perimeter of this shape. Can someone explain to me how to find the perimeter.

Agata [3.3K]

The little lines in each side show that the sides are the same length but you also need to find the length of the smaller side which isn’t the same. For this imagine that the shape is split into a square and a triangle and you need to find the long side of the triangle using Pythagoras
a^2 + b^2 = c^2
20^2 + 20^2 = 800
Square root of 800 = 28.3
Then do 28.3-20=8.3
So I think the answer is 20+20+20+20+20+8.3=108.3 cm

3 0

2 years ago

HELP PLEASE!!!!! 15 PTS AND BRAINLEST!!!

Schach [20]

The formula for volume is Length x width x height.

Bottom: 18 * 12 * 8 = 1728 cubic centimeters.

Middle: 12 * 8 * 6 = 576 cubic centimeters.

Top = 4 *4*4 = 64 cubic centimeters.

Total: 1728 + 576 + 64 = 2368 cubic centimeters.

8 0

3 years ago

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

3 years ago

F(x)= 20 + 12(x - 2)

Vinvika [58]

Answer:

f(x) = 12x - 4

Step-by-step explanation:

f(x)= 20 + 12(x - 2)

Distribute

f(x) =20 +12x - 24

Combine like terms

f(x) = 12x+20-24

f(x) = 12x - 4

4 0

3 years ago

Read 2 more answers