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Finger [1]
2 years ago
7

If f(x)= x*2 +3 and g(x) = 4x + 1, what is f(g(2))?

Mathematics
1 answer:
enot [183]2 years ago
5 0

Answer:

f(g(2))=84

Step-by-step explanation:

Step one:

Given data

f(x)= x*2 +3

g(x) = 4x + 1

Step two

Let us find g(2) first then we proceed to find f(g(2))

g(2)=4(2) +1

g(2)=8+1

g(2)=9

Since g(2)=9

f(g(2))=x*2 +3

f(g(2))=9*2 +3

f(g(2))=81+3

f(g(2))=84

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Plssss help thankyou
natta225 [31]

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

5 0
3 years ago
1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to
givi [52]

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = \frac{216}{12} = 18 ft

360 inches = \frac{360}{12} = 30 ft

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: \frac{540}{2.5} = 216 people

6 0
3 years ago
Enter the values for m, n, and p that complete the difference:
inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction  contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): \frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}

Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

\frac{3}{2} =\frac{3x}{2x}

Now that both fractions are written showing the same denominator , we can combine them as indicated:

\frac{7}{x} -\frac{3}{2} =\frac{14}{2x} -\frac{3x}{2x} =\frac{14-3x}{2x}

This expression gives as then the values for the requested coefficients.

p = 2

n = 14

m = 3

5 0
3 years ago
Read 2 more answers
I need all the angles of all four please, I uploaded them in order of each question
adelina 88 [10]

Answer:

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Step-by-step explanation:

8 0
3 years ago
How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
tiny-mole [99]
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution) 
in simple terms:    %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x)            simplify/ distribute
0.6x + 12 = 25 +0.5x                  get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13    divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
8 0
3 years ago
Read 2 more answers
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