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3 years ago

50 point to the person that can answer this:

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

B. The constant in the expression is 1/2

Step-by-step explanation:

Given formula for the area of a triangle

A = 1/2bh

Statements to confirm

A. The coefficient of is b.

False. b is variable, 1/2 is coefficient

B. The constant in the expression is 1/2

True

C. There is one term in the expression.

False. There are 3 terms, one constant and two variables

D. There is one variable in the expression.

False. There are two variables, b and h

Note.

Assumed 1/2 is given in Option B, otherwise all statements are false.

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Answer:

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3 years ago

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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:

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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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3 years ago

Emily had 30 cookies to bring to school for her birthday. Three students wanted two cookies each. Then, a new student came to th

Masteriza [31]

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Step-by-step explanation:

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-Dominant- [34]

Answer:

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Step-by-step explanation:

a/b = 8/15 -- divide both side by 8 and multiple both side by b

a/8 = b/15

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makkiz [27]

11. D. $5.50

12. B. $21.35

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3 years ago