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3 years ago

Simplify the expression -7(3e-2f+4)+6e-2

Mathematics

1 answer:

Shkiper50 [21]3 years ago

5 0

Answer: here it is 14f-30-15e

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The width of a rectangular playground is 2x -5 feet and the length is 3x+9 feet write the polynomials that represent the area an

Levart [38]

Answer:

Part 1) $A(x)=6x^{2} +3x-45$

Part 2) $P(x)=10x+8$

Step-by-step explanation:

Let

L -----> the length of a rectangular playground

W ---> the width of a rectangular playground

we have

$W=(2x-5)\ ft$

$L=(3x+9)\ ft$

step 1

Find the area of the playground

The area of a rectangle is equal to

$A=LW$

substitute the given values

$A(x)=(3x+9)(2x-5)\\A(x)=6x^{2} -15x+18x-45\\A(x)=6x^{2} +3x-45$

step 2

Find the perimeter of the playground

The perimeter of a rectangle is equal to

$P=2(L+W)$

substitute the given values

$P(x)=2((3x+9)+(2x-5))$

$P(x)=2(5x+4)$

$P(x)=10x+8$

4 0

3 years ago

Hugo has $20. he spends n dollars.How much does he have left?

Alexxx [7]

Answer:

Depends

Step-by-step explanation:

If n is 1n then he have 20 dollars left but if we don't know about the value of n the it is still 20

3 0

3 years ago

Read 2 more answers

Please help I forgot how to do problems like these

nexus9112 [7]

If you just use photmath it will help a lot!!

3 0

3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

4 years ago

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if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times

dangina [55]

I think the answer is $65

6 0

3 years ago

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