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3 years ago

Three times the sum of 4 and a number is twice the number. Find the number.

Mathematics

1 answer:

zavuch27 [327]3 years ago

3 0

Step-by-step explanation:

let number be x

3(4+x)=2x

12 + 3x = 2x

12 = 2x - 3x

12 = -x

x= -12

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Please help!!!! If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Black_prince [1.1K]

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

$f(1) = 2$

Now, we find f(2) in function of f(1). So

$f(1+1) = f(1)^2 - 3$

$f(2) = f(1)^2 - 3 = 2^2 - 3 = 1$

Now, with f(2), we can find the value of f(3).

$f(2+1) = f(2)^2 - 3$

$f(3) = f(2)^2 - 3 = 1^2 - 3 = -2$

The value of f(3) is -2.

4 0

3 years ago

What's the domain of this function graph? A) (-♾, 0) B) (0,♾) C) (-♾,♾) D) (1,♾)

Scilla [17]

Answer:

b) (0,infinity)

Step-by-step explanation:

You can look at the graph and see it starts when x=1, and continues forever in the positive direction.

4 0

3 years ago

Read 2 more answers

Maxwell ran4 days last week. He ran 3/8 of a mile each day.How far did he run in all?

Bingel [31]

Answer: 3/2 or 1 .5

Step-by-step explanation:

7 0

3 years ago

How do you solve 2 x 2 1/3 using distributive property

sp2606 [1]

Answer:

14/3

Step-by-step explanation:

2 1/3=7/3

2*7/3=14/3

8 0

3 years ago

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

$y=\frac{3}{4(x-3)}$

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

3 years ago