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3 years ago

What is the constant term in the expansion of the binomial (2x + 3)3?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

4 0

The answer is 27 but I am not sure I hope my calculations ain't wrong

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Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.

ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0

2 years ago

A cylinder has height of 7 inches and a base with a diameter of 9 inches.

bekas [8.4K]

Answer:

527.6 cubic inches

Step-by-step explanation:

The volume of a cylinder is represented by the formula $V = \pi r^{2} h$ , where r represents the radius of the base and h represents the height.

In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.

Substituting in the values and solving, we get:

$V =9 \pi (4.5)^{2}\\V = 9\pi(20.25)\\V = 182.25\pi\\V = 572.6$

The Volume will be 527.6 cubic inches

6 0

2 years ago

A math class has 3 girls and 7 boys in the 7th grade and 5 girls and 5 boys in the 8th grade the teacher randomly selects a seve

Minchanka [31]

In the 7th and 8th grade combined, there 3+5 girls = 8 girls, and 7+5 boys = 12 boys. If there are only boys and girls, then there are 12+8=20 students in all.

The fraction of girls out of the total is P = 8/20 = 2/5.

8 0

2 years ago

What is 50% of 64?

Dmitriy789 [7]

Answer:

50% = 50/100 = 0.5

20% = 20/100 = 0.2

25% = 25/100 = 0.25

10% = 10/100 = 0.1

Now let's begin our calculation

50% of 64=(0.5*64)=32

20% of 55=(0.2*55)=11

25% of 16 = (0.25*16) =4

10% of 200=(0.1*200)=20

20% of 86=(0.2*86)=17.2

Step-by-step explanation:

Hope this helps <3

7 0

2 years ago

Read 2 more answers

(08.03)A set of equations is given below:

faltersainse [42]

Answer: Third option

$-x + 2 = 3x - 4.$

Step-by-step explanation:

One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.

In this case we have the system:

$y = -x + 2\\\\y = 3x - 4$

Note that if $y$ is equal $-x + 2$ and also $y$ equals $3x - 4$

Then logically $-x + 2$ must be equal to $3x - 4$ .

We write equality.

$-x + 2 = 3x - 4.$

Then the correct answer is the third option.

We can also solve for the variable x

$-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}$

7 0

2 years ago

Read 2 more answers