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dem82 [27]
3 years ago
14

F(x) =x^2 +4x-60 and g(x) =x-6, find (f•g) (x) and express the result in standard form

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

(f o g)(x) = f(g(x))\\              = f(x-6)\\              = (x-6)^{2} +4(x-6)-60\\              = x^{2} -12x+36+4x-24-60\\              = x^{2} -8x-48\\              = (x-12)(x+8)

Step-by-step explanation:

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Two men ask you to guess their ages based on the following clues:
Stells [14]
Lets make x equal the the age of the younger man and y equal the age of the older man.
You are given x+y=76 and you can make the equation 2x+16=y since we are told that the older one is 16 more than twice the age of the younger one.  Since we have 2 equations and with the same variable and one has y already written in terms of x (y=2x+16) i will use substitution and make the given equaton all in terms of x.
x+(2x+16)=76 (solve this for x)
3x+16=76
3x=60
x=20
Then you can solve for y using the equation the equaion x+y=76 since we now know x=20.
20+y=76
y=56

Second equation is y=2x+16 (can also be written as y-2x=16)
x=20
y=56

I hope this helps.  If anything is unclear or you just want further explanation please let me know in the comments.

6 0
3 years ago
A rectangular pool is 12 ft wide, 20 ft long and 5 ft
S_A_V [24]

Multiply the 3 dimensions to find the volume, then find 4/5 of the volume by multiplying 4/5 by the volume.

12x5=60

60x20=1,200

I'm gunna convert the 4/5 to decimal to make it easier.

1,200x0.8=960

So there is a total liquid volume of 960(I'm assuming it's ounces).

---

sorry if this doesn't help

6 0
3 years ago
20% of the rose Annette picked from a rose garden were red if she picked 10 red roses how many roses did she pick from the garde
horrorfan [7]

Answer:

Option A

Annette picked  50 roses  from the garden

Step-by-step explanation:

Let us understand the problem, designating letters to represent unknown quantities.

Let the total number of roses = x

20% of the roses were red means that 20% of x = red

Since the number of red roses = 10,

we will have that 20% of x = 10

mathematically, we will have

\frac{20}{100} \times x = 10\\x= \frac{1000}{20}= 50

hence, Annette picked  50 roses  from the garden

7 0
3 years ago
Divide 794.1 by by 76.1 round off your answer to two decimal places
valentina_108 [34]

Answer:

794.1 ÷ 76.1= 10.4349.54

Round to the nearest whole number = 6

Round to the nearest tenth=5.6

Round to the nearest Hundredths=5.63

Round to the nearest Thousandth=5.635

7 0
3 years ago
In how many ways can 3 singers be selected from 5 who came to an audition?. A. 1. B. 10. C. 5. D. 60
pychu [463]

Answer:

Answer:

(5 3 ) = 10

Explanation:

This is a combination problem - we don't care about the order in which the singers are selected:

C n , k = ( n k ) = n !

( k ! ) ( n − k ) !  with  n = population ,

k = picks

( 5 3 ) = 10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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