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malfutka [58]
3 years ago
9

If f(x) =3x^2 + 1 and g(x)=1-x

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer: f  ( 1 − x ) = 3 x 2 − 6 x + 4

Your WElcome

kodGreya [7K]3 years ago
3 0

Answer:

4

Step-by-step explanation:

f(1)= 3(1)^2+1 = 4

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What will the factor tree look like with 25
const2013 [10]
25----------5 and 5--------------5 and 1 ------------5 and 1
4 0
3 years ago
Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoint
Kitty [74]

Answer:

maximum: y = 1

minimum: y = 0.

Step-by-step explanation:

Here we have the function:

y = f(x) =  √(1 + x^2 - 2x)

we want to find the minimum and maximum in the segment [0, 1]

First, we evaluate in the endpoints, which are 0 and 1.

f(0)  =√(1 + 0^2 - 2*0) = 1

f(1) = √(1 + 1^2 - 2*1) = 0

Now let's look at the critical points (the zeros of the first derivate)

To derivate our function, we can use the chain rule:

f(x) = h(g(x))

then

f'(x) = h'(g(x))*g(x)

Here we can define:

h(x) = √x

g(x) = 1 + x^2 - 2x

Then:

f(x) = h(g(x))

f'(x)  =  1/2*( 1 + x^2 - 2x)*(2x - 2)

f'(x) = (1 + x^2 - 2x)*(x - 1)

f'(x) = x^3 - 3x^2 + x - 1

this function does not have any zero in the segment [0, 1] (you can look it in the image below)

Thus, the function does not have critical points in the segment.

Then the maximum and minimum are given by the endpoints.

The maximum is 1 (when x = 0)

the minimum is 0 (when x = 1)

7 0
3 years ago
Anybody know the answer ?
kherson [118]
Saturday= 53

Sunday= 26
6 0
3 years ago
(#5) A carpenter has two different-sized circular saws. The smaller saw has the radius shown. I couldn't show it, so it is 1.25
grin007 [14]

Answer:

4.71 in. difference

Step-by-step explanation:

so, the radius of the smaller saw is 1.25 and the diameter is double the radius. so it is 2.5 in diameter. the larger saw is 1.5 in greater which is 4 in.

to find circumference, you have to use the solution C = πd or circumference = pi x diameter.

3.14 x 2.5 = 7.85

4 x 3.14 = 12.56

subtract 7.85 from 12.56 to get your answer! i hope this helps!

5 0
2 years ago
Can someone explain this? (This is algebra 1)
12345 [234]

Answer:

x=12

Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12

5 0
3 years ago
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