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3 years ago

What is 3x-2 if x=-1/3

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Givens

x = - 1/3

y = 3x - 2

Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1

So y = -1 - 2

y = - 3

Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

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Find the inverse of the function. f(x) = 5x - 5 f^-1(x) = _____ √

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Answer:

Step-by-step explanation:

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2 years ago

Select the ordered pair that is solution of this equation x+2y=3

muminat

Answer:

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Step-by-step explanation:

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2 years ago

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What is the solution to the system of equations?

Minchanka [31]

Answer:

(1, –5)

Step-by-step explanation:

It is relatively easy to try the offered solutions to see what works.

(1, -5)

3(1) +10(-5) = -47 . . . true

5(1) -7(-5) = 40 . . . true

(1, -5) is the solution

_____

As a check, you can try some of the other choices:

(1, 5)

3(1) +10(5) ≠ -47

(-1, -5)

3(-1) +10(-5) ≠ -47

(-1, 5)

3(-1) +10(5) ≠ -47

None of the other choices works in the first equation, so they're not the solution.

4 0

3 years ago

A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a

Gekata [30.6K]

Answer:

12 dimes and 18 nickels

Step-by-step explanation:

Equations given by word problem:

n + d = 30

0.05n + 0.1d= 2.10

How I solved them:

d= 30 - n

0.05n + 0.1(30 - n)= 2.10

0.05n + 3 - 0.1n= 2.10

-0.05n= -.09

Divide both sides by -0.05

n= 18

18 + d = 30

d= 12

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3 years ago

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What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.

Romashka [77]

Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online. Anyhow, check your unit circle for cos(30°) and sin(30°).

$\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
\\\\\\
\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}$

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3 years ago

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