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3 years ago

Given-17-(-3), decide which of the following expressions represents the same equation? O 17 + (-3)

Mathematics

1 answer:

rodikova [14]3 years ago

6 0

Answer:

what

Step-by-step explanation:

didnt understand

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If 4f(x)+f(5-x)=x2 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: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

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4 years ago

What is the result of adding these two equations? - 50 - 9y = 3 5x - Sy = -2

Scorpion4ik [409]

The result of adding the answer together is 1

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3 years ago

If x=5.25, what is the value of f(x)=10x+8

Nataly_w [17]

Answer:

$f(x) = 10x + 8 \\ f(5.25) = 10(5.25) + 8 \\ f(5.25) = 52.5 + 8 \\ f(5.25) = 60.5$

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3 years ago

The lines on a 2-cup liquid measuring cup divide each cup into eighths If you measure 1 3/4 cups of water between which two quan

sasho [114]

Answer:

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Step-by-step explanation:

1 3/4 = 1 6/8

Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.

1/8 less than 1 6/8 is 1 5/8.

1/8 more than 1 6/8 is 1 7/8.

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

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3 years ago

Given-17-(-3), decide which of the following expressions represents the same equation? O 17 + (-3)​

Given-17-(-3), decide which of the following expressions represents the same equation? O 17 + (-3)