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2 years ago

Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does g(x)=f(2)?

Mathematics

1 answer:

Maksim231197 [3]2 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

To see when g(x) = f(2)

First, find f(2)

f(2) = 3(2) - 1 = 5

Now g(x) = 2x-3 = f(2) = 5

2x - 3 = 5

Adding 3 to both sides

2x = 8

Dividing 2 on both sides

x = 4

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Select the expressions that are equivalent to 2(9r)

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Answer:

18r

Step-by-step explanation:

Multiply 9 by 2

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3 years ago

If f(x) =ax+b ,f(-3)=-4 and f(3)=2, find the value of a and b please help

hichkok12 [17]

Answer:

a = 1

b = -1

Step-by-step explanation:

First, let's make equations out of those given f(x)'s

-4 = -3a + b

2 = 3a + b

We can use elimination method to get rid of the a real quick

-4 = b

2 = b

Add those together

-2 = 2b

Divide both sides by 2

-2/2 = 2b/2

b = -1

Plug in the new b in one of the original equations; I'm gonna use the bottom one

2 = 3a - 1

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2 years ago

Find the sum if 3/4/8 and 1/3/4. Write in simplest form

vodomira [7]

Is it a improper fraction or?

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4 years ago

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic

zhuklara [117]

Answer:

C. $25

Step-by-step explanation:

We will find,

The slope of the function using $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Taking the points (1,40) and (2,55).

Slope = $\frac{55-40}{2-1}$

i.e. Slope = $\frac{15}{1}$

i.e. Slope = 15

Substituting the slope and point (1,40) in the equation $y=mx+b$ ,

We have, $40=15\times 1+b$

i.e. $b=40-15$

i.e. b= 25

Thus, the equation of the linear function is $y=15x+25$ .

<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>

So, the initial value of the comic book is when x= 0.

So, $y=15\times 0+25$ i.e. y= 25

Hence, the cost of the book when Lucy purchased it was $25.

8 0

3 years ago

Read 2 more answers

What's a single digit odd number you'll get from dividing a two digit number with 2?

Andreas93 [3]

Answer:

A single-digit odd number you'll get from dividing a two-digit number with 2 is 7.

Step-by-step explanation:

If you were to divide 14 by 2, you would get 7, which is a single-digit odd number.

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3 years ago

Read 2 more answers

Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does g(x)=f(2)?​

Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does g(x)=f(2)?