(x+3)(x+2) can some one help with this one please (factoring trinomials)

Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)

Leni [432]

Alrighty

remember some rules
$(ab)^c=(a^c)(b^c)$
and
$x^{-m}=\frac{1}{x^m}$
and
$x^0=1$ for all real values of x
and
$(a^b)^c=a^{bc}$
and
$(\frac{a}{b})^c=\frac{a^c}{b^c}$
and
(a/b)/(c/d)=(ad)/(bc)
and
$(a^b)(a^c)=a^{b+c}$
and
$\frac{a^m}{a^n}=a^{m-n}$
and don't forget pemdas
example: $-x^m=-1(x^m)$ but $(-x)^m=(-1)^m(x^m)$

so

4.
$(\frac{c^{-2}}{2})^{-2}=$

$\frac{(c^{-2})^{-2}}{2^{-2}}=$

$\frac{c^4}{\frac{1}{2^2}}=$

$\frac{c^4}{\frac{1}{4}}=$

$4c^4$

5.

$\frac{(-a)^4bc^5}{-a^2b^{-3}c^0}=$

$\frac{(-1)^4(a)^4bc^5}{-1(a^2)(\frac{1}{b^3}(1)}=$

$\frac{(1)a^4bc^5}{\frac{(-1)(a^2)}{b^3}}=$

$\frac{(a^4bc^5)b^3}{(-1)(a^2)}=$

$\frac{-a^4b^4c^5}{a^2}=$

$-a^2b^4c^5$

3 0

3 years ago

Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo

Aleksandr [31]

Malik earned $243.

When he bought the tires, he spent $90 ($45x2), and he sold them for $130 ($65x2). So his profit was $40 ($130-$90).

He bought three rims for $225 ($85x3) and sold them all for $378 ($126x3). His profit was $153 ($378-$225).

The headlight covers cost him $25 in total ($5x5). He sold them all and got $75 ($15x5). The profit was $50 ($75-$25).

The total amount of money made was $243 ($40+$153+$50).

:)

3 0

3 years ago

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At lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of

Effectus [21]

Answer:

1 1/4

reason:

add 7/8 and 3/8 to get 10/8
this can be simplified to 1 2/8
simplify 2/8 to 1/4 to get the final answer, 1 1/4

7 0

3 years ago

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The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f (

xenn [34]

Complete Question

The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?

A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?

B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?

C. In 2016 , some cars cost $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?

Answer:

a

The cost of a new Accord in 2013 compared to 2010 is z = f(13) - f(10)

b

The magnitude at which the cost of a new Accord in 2013 is greater than the cost in 2010 is

$x = \frac{f(13)}{f(10)}$

c

The cost of the other cars is 2016 is r = 980 + f(16)

Step-by-step explanation:

From the question we are told that

The cost (in dollars) of a new Honda Accord is f(t)

Where t is number of years after 2000

The cost of the Honda Accord at 2013 is

f(2013 - 2000) = f(13)

The cost of the Honda Accord at 2010 is

f(2010 - 2000) = f(10)

So the cost difference between 2013 and 2010 is mathematically evaluated as

z = f(13) - f(10)

Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be x

So

f(13) = x f(10)

=> $x = \frac{f(13)}{f(10)}$

The cost of the Honda Accord in 2016 is mathematically evaluated as

f(2016 - 2000) = f(16)

Now the cost of these other cars is mathematically evaluated as

r = 980 + f(16)

7 0

2 years ago

Can you pls help thanks

olga55 [171]

Okay so if the question is asking for the area the answer is 13 times 5 is 65 and 65 divided by 2 is 32.5 so 32.5 is the area of this triangle. If the question is what is x then the answer is 5
I hope this helps! :)

7 0

3 years ago

Read 2 more answers