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3 years ago

Let f(x)=x^2 and g(x)=x-3. evaluate (fog)(-2)

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

F(x) = x²
g(x) = x - 3

g(-2) = (-2) - 3 = -5

f(-5) = (-5)² = 25

Answer : (fog)(-2) = 25

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anastassius [24]

Answer:

Step-by-step explanation:

140+90

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3 years ago

Jason's part-time job pays him $105 a week. If he has already saved $325, what is the minimum number of weeks he needs to work i

Art [367]

Jason's part-time job pays him $105 a week

He got an amount of 105 dollars per week

Thhe cost price of the Dit bike = $900

The saving amount he had = $325

So, The amount he require more is the difference in the cost price of the bike to the saving amount

Require amount = 900-325

Require Amount = $575

Since he get the $105 per week

We need to find the number of weeks to get an amount of $575

So, divide the total required amount by the amount in one week he get

$\begin{gathered} \text{ Number of w}eek\text{ =}\frac{Total\text{ Amount}}{Amount\text{ he get p}er\text{ week}} \\ \text{Number of w}eek\text{ =}\frac{575}{105} \\ \text{Number of w}eeks\text{ =}5.47 \\ \text{Number of we}eks\text{ }\approx6 \end{gathered}$

So, he neeed to wokr for 6 weeks to pay for the dirt bike

Answer : 6 weeks

8 0

1 year ago

40 POINTS AVAILABLE

vazorg [7]

Answer:

The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Step 1

Find the area of the larger circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}\\ 1,296=2x^{2}\\ 648=x^{2}\\ x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

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3 years ago

Lynne feeds her cat 65 g of cat food per day. About how many ounces of cat food will she feed her cat in 5 weeks? 1 oz≈28.3 g

Svet_ta [14]

Consumption in Grams would be 65 x 7 x 5 which 2,275 If we use the conversion rate of 28.3 grams to an ounce then the number of ounces will be found by completing this sum 2275 divided by 28.3 which is 80 Ounces when rounded down

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4 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

dem82 [27]

Answer:

x^2 +23x +49

Step-by-step explanation:

First we find the area of the rectangle as though the small square were not cut out of it

A = (x+10) (2x+5)

Foil

2x^2 +5x+20x+50

2x^2 +25x+50

Then we find the area of the small square

A = (x+1) (x+1)

FOIL

x^2 +x+x+1

x^2 +2x+1

Then we subtract the small square from the large rectangle to find the area of the shaded region

2x^2 +25x+50 - (x^2 +2x+1)

Distribute the minus sign

2x^2 +25x+50 - x^2 -2x-1

x^2 +23x +49

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3 years ago