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Vika [28.1K]
2 years ago
10

Find the difference of the two functions

Mathematics
2 answers:
xeze [42]2 years ago
5 0

Answer:

Fourth option is the correct answer

(f - g)(x) = 3 {x}^{2}  + 6x - 3

Step-by-step explanation:

f(x) =  3{x}^{2}  + 7x \\ g(x) = x + 3 \\  \\ (f - g)(x) = f(x) - g(x) \\  = 3{x}^{2}  + 7x  - (x + 3) \\  = 3{x}^{2}  + 7x  - x - 3 \\  \purple{ \bold{ (f - g)(x) = 3 {x}^{2}  + 6x - 3 }}

jarptica [38.1K]2 years ago
3 0

Answer:

I thought fourth option because there is only one square

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Isabel offers to buy a team photo for 8 of her teammates,
masha68 [24]

Answer:

The expression is 5(8 - 2).

Isabel will spend $30

Step-by-step explanation:

A-P-E-X Learning

(I did the quiz and got it right :))

8 0
3 years ago
Jay currently has a balance of $2,375 on her credit card. If she must make a minimum monthly payment of 5.8% of her total balanc
Papessa [141]

Answer:

$137.75

Step-by-step explanation:

question is 'what is 5.8% of 2375'

'what' means assign a variable

'is' means an equal sign

'of' means to multiply

p = .058 x 2375

p = 137.75

*You could do the following:  p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left

4 0
2 years ago
On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

  • 391 people used the public swimming pool
  • The daily prices are $1.25 for children and $2.25 for adults
  • The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
2 years ago
In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20
DiKsa [7]

The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.

Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.

Probability is the chance of happening an event among all the events possible.

Probability of winning is calculated as under:

Probability=C(20,3)C(60,17)/C(80,20)

We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.

We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17  numbers left and from total 80, 20 numbers are taken.

=C(20,3)C(60,17)/C(80,20)

=(20!/3!17!  * 60!/17!43!)/80!/20!60!

=1140*387221678682300/35353161422121743200

=12.48%

Hence the probability of winning is 12.48%.

Learn more about probability at brainly.com/question/24756209

#SPJ4

5 0
1 year ago
Write the slop-intercept form of the equation of each line. Please show your work.
solmaris [256]
Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4

Ans: y = 1/4x -3
Plz vote me the brainliest ans (˘ ³˘)♥
8 0
3 years ago
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