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Ilia_Sergeevich [38]
2 years ago
11

What is the inverse of y=3x+3?

Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

Answer:

The inverse is x/3 -1

Step-by-step explanation:

y = 3x+3

To find the inverse, exchange x and y

x = 3y+3

Solve for y

x-3 =3y+3-3

x-3 = 3y

Divide by 3

x/3 - 3/3 = 3y/3

x/3 -1 = y

The inverse is x/3 -1

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the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?
CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0
3 years ago
What is the y-intercept of the graph of y = 4^x-2?
mixas84 [53]

Answer: Hope this helps you.

-2

Step-by-step explanation:

y = mx+b (B is y-int)

y = 4^x-2

-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2

5 0
1 year ago
Read 2 more answers
Find the center and the radius of the circle with the equation x^2 -2x+y^2 +4y +1
steposvetlana [31]

Answer:

Center = ( 1,-2)

radius = 2

6 0
3 years ago
What is the inverse of the given relation? Y=7x^2+4
EleoNora [17]

follow these steps:

1) y-4=7x^2

2) (y-4)/7 = x^2

x = \sqrt{ \frac{y - 4}{7} }

so you must inverse x and y names:

{f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }

7 0
2 years ago
Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2​
miss Akunina [59]

Answer:

1/2

Step-by-step explanation:

We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.

4 0
3 years ago
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