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Evgen [1.6K]
3 years ago
9

If f(x) = x/4 -3 and g(x)= 4x^2+2x-4 find (f+g)( x)

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
We have that

<span>f(x) = x/4 -3
g(x)= 4x</span>²<span>+2x-4
find (f+g)( x)

step 1
adding the two functions together to create a new function.
[x/4 -3]+[4x²+2x-4]  

step 2
making everything have a common denominator of 4 we get:
[(x-12+16x²+8x-16)]/4  

step3
combine like terms in numerator
(16x²+9x-28)/4-----------> 4x²+(9/4)x-7

the answer is </span>4x²+(9/4)x-7
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A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien
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Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

4c + 5 = 27

Where c represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

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4 \times 8 + 5 = 37 \neq RHS\ i.e.\ 27

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So, Priya is correct that neither 8 or 3 could be solution.

Part c:

4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}

So, solution to the equation is: <em>c = 5.5</em>

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