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Anna007 [38]
3 years ago
13

Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

18x²+25x+8

Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

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Tammy invested her savings in two investment funds. The amount she invested in Fund A was twice as much as the amount she invest
Sidana [21]

Answer: She invested $12000 in fund B.

Step-by-step explanation:

Let x represent the amount which she invested in fund A.

Let y represent the amount which she invested in fund B.

The amount she invested in Fund A was twice as much as the amount she invested in fund B. This means that

x = 2y

Fund A returned a 7% profit. It means that the profit returned from fund A is

7/100 × x = 0.07x

Fund B returned a 5% profit. It means that the profit returned from fund B is

5/100 × y = 0.05y

if total profit from the two funds together was $2280, it means that

0.07x + 0.05y = 2280- - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.07 × 2y + 0.05y = 2280

0.14y + 0.05y = 2280

0.19y = 2280

y = 2280/0.19

y = 12000

x = 2y = 2 × 12000

x = 24000

7 0
3 years ago
You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price
Leto [7]

Answer:

Selling price= $13

Step-by-step explanation:

Giving the following information:

The cost of your product is $10, and you are planning a 30% mark-up.

<u>The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.</u>

Selling price= 10*1.3

Selling price= $13

5 0
3 years ago
An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
3 years ago
Marta has opened a savings account with $25. At the end of three months, she has $85 in her account. She deposited the same amou
vampirchik [111]
$20 a month. if u subtract the amount that she started with from $85, you get $60. $60 divided by 3 months is $20 a month
5 0
3 years ago
Giving away 100 points :)<br> Hope you have a nice day
Verizon [17]

Answer:

THANKS BRO

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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