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Nat2105 [25]
4 years ago
14

.Find (g o f)(x) for f(x) = 2x + 4 and g(x) = x^2 . Show all of your work, it'll help me for my next one ! (: thanks

Mathematics
1 answer:
adelina 88 [10]4 years ago
5 0
You should know that <span>(g o f)(x) is the same as g(f(x)), or g of f(x). To solve for g(f(x)), substitute whatever f(x) equals as x into g(x).

So, if you have the two functions
g(x) = x^2
f(x) = 2x + 4, 
you substitute what f(x) equals as x into the g(x) equation.
</span>g(x) = x^2 \\ &#10;g(f(x)) = (f(x))^2 \\ &#10;g(f(x)) = (2x + 4)^2 \\ &#10;g(f(x)) = 4x^2 + 16x + 16<span>

</span>
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Jordan spent 22% of his time doing math homework. If hw spent 11 minutes on his math homework. How many minutes did he spend on
devlian [24]

Answer:

The total minutes he spend on his homework are 50 minutes.

Step-by-step explanation:

<em>It is given that Jordan spent 22% of his time for homework on maths.</em>

<em>It is also given that he spent 11 minutes of time on maths homework.</em>

The above two statements are equal.

Let the total time for homework be "x".

Thus, the equation can be written as,

(\frac{22}{100})(x) = 11

x = (\frac{100}{22})(11) = 50 minutes

Thus the total minutes he spend on his homework are 50 minutes.

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3 years ago
Some cows are brown. Fido is not a cow. Fido must be brown.
Lina20 [59]

Answer:

B.) Invalid Argument

Step-by-step explanation:

Just because Fido is not a cow does not mean that he will automatically be brown. It is already stated that some cows(something Fido is not) are colored brown.

8 0
3 years ago
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Can someone help with this please
Lady_Fox [76]

Answer:

DFE

Step-by-step explanation:

4 0
3 years ago
A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

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3 years ago
Find the measure of ∠A if
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The answer is d as in dog
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