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3 years ago

Multiply out and simplify the expression (n+1)^2-(n+1)+1

Mathematics

2 answers:

topjm [15]3 years ago

7 0

Answer:

7-5n

Step-by-step explanation:

first you multiply both sides and get the equation 2n+2-7n+7 then you rearange the numbers to 2n-7n +2+7 and get -5n+7. you can change that to 7-5n.

spin [16.1K]3 years ago

5 0

7-5 n I believe it’s is

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3 years ago

A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a fu

den301095 [7]

Answer:

$y =120*1.1^x$

$r = 10\%$ --- Percentage increase

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y = ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 =a * 1$

$120 =a$

Rewrite as:

$a = 120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute $a = 120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

Recall that:

$y = ab^x$

Hence, the function is:

$y =120*1.1^x$

To get the monthly percentage increase (r), we have:

$y = a(1 + r)^x$

Compare to: $y = ab^x$

So:

$1+r =b$

Make r the subject

$r = b-1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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3 years ago

Lisa sells cars for a salary of 2500 per month plus 2% commission of her total car sales. What should her total of car sales be

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Answer:

$50,000

Step-by-step explanation:

Let x = car sales

We multiply x by 0.02 since she earns 2% along with the added $2500 so that she can end up with $3500

3500 = 0.02x + 2500

Subtract 2500 from both sides

3500 - 2500 = 0.02x + 2500 - 2500

1000 = 0.02x

Divide both sides by 0.02

1000/0.02 = 0.02x/0.02

x = 50000

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Ksju [112]

Answer:

Step-by-step explanation:

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2 years ago

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Multiply out and simplify the expression (n+1)^2-(n+1)+1​

Multiply out and simplify the expression (n+1)^2-(n+1)+1