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3 years ago

12

PLEASE HELP!!!! I will give brainliest to whoever answers.

2 answers:

allochka39001 [22]3 years ago

4 0

Answer:

Option #4 (3x)(4x+5)

Step-by-step explanation:

To find area of a rectangle, you have to multiply the length by the width. In this case, to find the width, you have to add 4x and 5, so 4x+5 become your new width value to multiply by 3x.

nadya68 [22]3 years ago

3 0

Answer:

12x + 5

Step-by-step explanation:

I really hope i helped

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frutty [35]

Answer:

d

Step-by-step explanation:

if x =3 and f(x) =x2-2x+6 then 9=f

3 0

3 years ago

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

4 years ago

The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the

oee [108]

The length and width of the rectangle are: $2x^2y^2 , 3xy^3$

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of a rectangle is represented by the expression $6x^3y^5$ .

The area of the rectangle = $2x^2y^2 \times 3xy^3$

= $6x^3y^5$

So, the length and width of the rectangle are: $2x^2y^2 , 3xy^3$

Learn more about the area;

brainly.com/question/1658516

#SPJ1

7 0

2 years ago

In the number 3,287,854 how many times greater is the value of the 8 in the ten thousands place compared to the value of the 8 i

olga55 [171]

8 in the 10,000s place is worth 80,000.

8 in the hundreds place is worth 800.

80,000/800 = 100

Answer: 100 times.

6 0

4 years ago

Read 2 more answers

Someone help me with this ..

Delicious77 [7]

$3x+12=4x-15\\
x=27\\\\
\angle ABC=2(3x+12)=2(3\cdot27+12)=2(81+12)=2\cdot93=186^{\circ}$

6 0

4 years ago