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IrinaK [193]
3 years ago
12

F=[

Mathematics
1 answer:
drek231 [11]3 years ago
5 0
Ummmm What?! Are you hacking or sum lol
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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?
aksik [14]
We are given that 4f(x)+f(5-x)=x^2.

Substitute x with 5-x, then the above equation becomes:

4f(5-x)+f(5-(5-x))=(5-x)^2, that is

4f(5-x)+f(x)=(5-x)^2


So, we have the following system of equations:

i) 4f(x)+f(5-x)=x^2
ii) 4f(5-x)+f(x)=(5-x)^2

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) -16f(x)-4f(5-x)=-4x^2
ii) 4f(5-x)+f(x)=(5-x)^2

adding the 2 equations side by side we have:

-15f(x)=-4x^2+(5-x)^2

expanding the binomial, and collecting same terms we have:

-15f(x)=-4x^2+(25-10x+x^2)

-15f(x)=-3x^2-10x+25

dividing by -5:

3f(x)=\frac{3}{5}x^2+2x-5

dividing by 3:

\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}


Answer: \displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}

6 0
3 years ago
The smaller triangle was dilated to form the larger triangle. What is the value of x? PLEASE HELP!!
Goshia [24]
The value of x is equal to 14.
 
Since the bottom side is equal to 3 of the small triangle and the side of the larger triangle is equal to 9, that means that it was dilated by a factor of 3, since 3 * 3 = 9
So, the other side of 5, of the smaller triangle needs to be also be dilated by a factor of 3, so the new side is 15.
The larger triangle tells us that the side is x + 1, but we know that it is equal to 15. Since they are the same, we make them equal and solve for x
So, 15 = x + 1
We subtract 1 to isolate x and we get
14 = x
So, x is equals to 14.
I hope this helps.
YOU'RE WELCOME :D
3 0
3 years ago
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NOOOOOOOO LINNNKKKKSSSSSSSS!!!!!!
mr Goodwill [35]
39 ………………………………………………………………
7 0
3 years ago
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Can someone help me with this question please
erastovalidia [21]

for 1st

use the formula of inlargement

A(x,y)when enlarging by scale factor k gives A'(kx,ky)

for 2nd

a=

(2a+3)-(a-5)(2a+2)+a^2

b=

3y(7y-8)

3 0
3 years ago
Is this 65 percent need to know asap
Darina [25.2K]

Answer:

yes

Step-by-step explanation:

:D

5 0
3 years ago
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