3 years ago

Write an equation of the line that passes through (3, 1) and (0, 10). y

Mathematics

1 answer:

const2013 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

(10 - 1)/(0 - 3) = -9/3 = -3

y - 1 = -3(x -3)

y - 1 = -3x + 9

y = -3x + 10

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kiruha [24]

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4 years ago

If f(x) = 6x + 2 and g(x) = 4x - 5, find f(x) - g(x).

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Solve each equation. Check 19. x(x - 32)=0

Readme [11.4K]

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

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3 years ago

Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

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3 years ago

If three-eights of a pound of candy was shared equally among the 3 people, what fraction of a pound did each person receive?

REY [17]

Hola!

3/8 ÷ 3 = 1/8

Each person would recieve 1/8 a pound of candy.

Hope this helps!

~DL

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3 years ago