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2 years ago

The tape diagram a way to model 5/8x11 what fraction

Mathematics

1 answer:

adelina 88 [10]2 years ago

4 0

Answer:

its 6 7/8

Step-by-step explanation:

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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

Amanda has already run 14 miles on her own, and she expects to run 5 miles during each track practice. How many tracks would it

mina [271]

Answer:

It will take Amanda 3 track practices to run 29 miles.

Step-by-step explanation:

29-14=15

15/3=5

14+5x=29

subtract 14 from both sides

5x=15

divide both sides by 3

x=3

Hope this helps. Brainliest will be appreciated.

5 0

3 years ago

Please help me with this geometry problem, tysm

bazaltina [42]

Answer: Have a nice day!

Step-by-step explanation:

6 0

3 years ago

35 less than seven times a certain number is fifty-three more than 3 times that number. What is the number?

Dovator [93]

Answer:

Step-by-step explanation:

6 0

3 years ago

20 What decimal does this model represent? Explain.

umka2103 [35]

Answer:

The model represents the decimal 73.

Step-by-step explanation:

The model is 10x10. You must count the blue blocks. The number of blue blocks is 73, therefore it represents the decimal 73. (Hope this helped!)

8 0

3 years ago