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vfiekz [6]
4 years ago
6

what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below

Mathematics
2 answers:
Ivanshal [37]4 years ago
5 0
The parent function f(x) = log_3(x) has two important values that we can find.

log_3(1) asks "3^? = 1," which we know is 0. So, log_3(1) = 0, which means (1,0) is a point on the graph for the parent function.

log_3(3) asks "3^? = 3" which we know is 1. So, log_3(3) = 1, which means (3,1) is a point on the graph for the parent function.

Now, we look at the graph they gave us and we see that our two points have moved upward 2 units. Now, (1,2) and (3,3). The transformation appears to be f(x) + 2, as you have selected.
Lelu [443]4 years ago
4 0

Answer:

"f(x) + 2" You were correct

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Homer is giving some cookies to each of
Stells [14]

Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

Let the total number cookies be represented by A

1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

Half of what is left from brother

= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

= 3 1/2 + 1/2

= 4 cookies

The first brother got 4 cookies

The second brother got 2 cookies

The third broth got 1 cookies

3 0
3 years ago
Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
8 0
3 years ago
A company uses the declining-balance method of calculating depreciation expense. On January 1, the company buys machinery for $7
NeX [460]

Answer:

$516,000

Step-by-step explanation:

Given:

- Beginning boo value of asset A = $750,000

- The salvage value of the asset B = $100,000

- The estimated life of asset t = 10 years

Find:

What is the book value in year 3?

Solution:

- Under the declining balance method, double declining method depreciation rate (R) is calculated by:

                                  R = 1 / t

                                  R = 1 / 10 = 10%

- The accumulated depreciation for 3 years is as follows:

                                 Depreciation: ( A - B ) * R * 2

                 Year 1:     DDB = ( 750,000 - 100,000 ) * 0.2 = $130,000

                 Year 2:    DDB = ( 620,000 - 100,000)*0.2 = $104,000

- The book value in year 3 is:

                                 $ 620,000 - $104,200 = $516,000

                                             

                                   

7 0
3 years ago
Which functions have an additive rate of change of 3? Select TWO options
Pachacha [2.7K]

Answer:

Second table.

Step-by-step explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

m =  \frac{y_2-y_1}{x_2-x_1}

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

m =  \frac{ - 9- - 3}{4-2}  =  - 3

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

m =  \frac{ - 1 -  - 4}{3 - 1}  = 3

Therefore the second table has an additive rate of change of 3.

5 0
3 years ago
Read 2 more answers
PLS HELPPPP <br><br> 14. IF m1 = (x + 13)°<br> mz2 = 39° AND<br> mz3 = (5x + 4)º.<br> SOLVE FOR X.
forsale [732]

Answer: x=12

Step-by-step explanation:

m\angle1=(x+13)^0 \ \ \ \ \    m\angle2=39^0\ \ \ \ m\angle3=(5x+4)^0\\

The sum of the angles of the triangle is 180°:

(x+13)+39+(180-(5x+4))=180\\\\x+13+39+180-5x-4=180\\\\-4x+48=0\\\\-4x+48+4x=0+4x\\\\48=4x

Divide both parts of the equation by 4:

12=x\\\\Thus,\ x=12

8 0
1 year ago
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