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3 years ago

Factor completely 4x2 + 16x.

Mathematics

2 answers:

IceJOKER [234]3 years ago

5 0

Answer: The complete factored form of the given expression is $4x(x+4).$

Step-by-step explanation: We are given to completely factor the following expression :

$E=4x^2+16x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given expression does not contain the constant term, so we need to take common x and the common factor 4 from both the terms.

The factorization of expression (i) is as follows :

$E\\\\=4x^2+16x\\\\=4x(x+4).$

Thus, the factors of the given expression are 4, x and (x + 4). And, the complete factored form is $4x(x+4).$

Andrew [12]3 years ago

4 0

First factor out the gcf.

4x(x+4)

The inner binomial cannot be factored so that is the final answer.

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A rectangular prism has a length of 19ft, a height of 19ft, and a width of 6ft. What is its volume, in cubic ft?

Alborosie

Answer:

$\boxed{Volume \: of \: rectangular \: prism = 2166 \: {ft}^{3}}$

Explanation:

Volume of rectangular prism is same as volume of cuboid

Length = 19 ft

Width = 6 ft

Height = 19 ft

Volume of rectangular prism = Length × Width × Height

= 19 × 19 × 6

= 19² × 6

= 361 × 6

= 2166 ft³

7 0

3 years ago

The general term for the sequence 3/4,6/5,9/6,12/7,15/8

Ronch [10]

Answer:

B . $\frac{3 n}{n+3}$

Step-by-step explanation:

<u>Arithmetic sequence</u>:-

Step1:

Given sequence is $\frac{3}{4} ,\frac{6}{5} ,\frac{9}{6} ,\frac{12}{7} ,\frac{15}{8}$

Above sequence taking numerator terms

3,6,9,12,15 are in arithmetic progression

First term a= 3 and difference d = 3

now n t h term of given sequence is

$t_{n} =a+(n-1)d$

now substitute a =3 and d=3

$t_{n} = 3+(n-1)3 = 3+3 n-3=3n$

Step2:-

Above sequence taking denominator

4,5,6,7,8...

here a=4 and d=1

$t_{n} =a+(n-1)d$

$t_{n} =4+(n-1)1$

$t_{n}=3+n$

Final answer is the general term of given sequence is

$t_{n} = \frac{3n}{3+n}$

3 0

4 years ago

Isn’t the answer just D ?

wolverine [178]

Answer:

yes you are right

4 0

3 years ago

Read 2 more answers

Give the following equations determine if the lines are parallel perpendicular or neither

GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

$\frac{6x-5y}{2}=x+1$

Cross multiply both sides of the equation.

$6x-5y=2(x+1)$ $6x-5y=2x+2$

Subtract 6x on both sides of the equation.

$6x-5y-6x=2x+2-6x$ $-5y=-4x+2$

Divide both sides of the equation by -5.

$-\frac{5y}{-5}=\frac{-4x}{-5}+\frac{2}{-5}$ $y=\frac{4}{5}x-\frac{2}{5}$

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

$-4y-x=4x+5$

Add x on both sides of the equation.

$-4y-x+x=4x+5+x$ $-4y=5x+5$

Divide both sides of the equation by -4.

$\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}$ $y=-\frac{5}{4}x-\frac{5}{4}$

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0

1 year ago

Vinnie is searching online for airline tickets. Two weeks ago, the cost to fly from Denver to Hartford

OLEGan [10]

Answer:

The ticket increased 57% of its original price

The baggage price was 44.5 increased 0.11% and then became 50

Step-by-step explanation:

So if the amount was 200 and now is 350, we should use division.

200 ÷ 350 = 0.5714285714285714 which you can round to 0.57 or as many digits as the question asked for. In thise case I will use 0.57

0.57 converted to percentage is 57%

About the second question

now you know the amount after increase and the percentage. So all you have to do is reverse.

11% = 0.11

0.11 ✕ 50 = 5.5

this means the price increased 5.5

50 - 5.5 = 44.5

3 0

3 years ago