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irakobra [83]
3 years ago
5

What’s the answer to this one! 15 points!

Mathematics
2 answers:
Phoenix [80]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Because they are opposite of each other

DochEvi [55]3 years ago
3 0

Answer:

Step-by-step explanation:

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A container has 12 and 3/4 cups of lemonade .asher gives each of his classmates 7/8 of a cup of lemonade . He gives away all of
Agata [3.3K]

Asher gave lemonade to 14 students

<em><u>Solution:</u></em>

Given that, A container has 12 and \frac{3}{4} cups of lemonade

Asher gives each of his classmates \frac{7}{8} of a cup of lemonade

To find: Number of classmates received the lemonade

From given question,

Total cups of lemonade = 12\frac{3}{4}

\rightarrow 12\frac{3}{4} = \frac{4 \times 12 + 3}{4} = \frac{51}{4}

cups of lemonade received by each classmate = \frac{7}{8}

Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate

\rightarrow \frac{\frac{51}{4}}{\frac{7}{8}}=\frac{51}{4} \times \frac{8}{7}

\rightarrow 14.57

Thus Asher gave lemonade to 14 students

3 0
3 years ago
I'd appreciate your guys' help! :)
butalik [34]

Point slope form is :

8+12 = m(9-4)

8+12= 9m -4m

20= 5m

20/5= 5m/5

m= 4

Slope form

8= 4(9) +b

8= 36+b

-28=b

Y= 4x -28

8 0
3 years ago
A dog chased after a dandelion for 0.5 km, stopped to take a rest, and continued to chase after the dandelion for 750 m. How man
Annette [7]
1.25km Is How Far The Dog Traveled (1,250m)

5 0
3 years ago
Read 2 more answers
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).
Goryan [66]

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

f(x) = 2x+1

And the other Linear function is the function g(x):

g(x) = x+14

In order to find (gof)(x), you need to follow these steps shown below:

<u>Step 1</u>:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

(gof)(x) = (2x+1)+14

<u>Step 2</u>:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  (gof)(x) is:

(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15

5 0
3 years ago
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