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astra-53 [7]
3 years ago
10

For f(x)=3x -1 and g(x) = x+2 find (f-g)

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

(f - g) = 2x - 3

Step-by-step explanation:

Simply distribute the negative and add like terms together:

(f - g) = 3x - 1 - (x + 2)

(f - g) = 3x - 1 - x - 2

(f - g) = 2x -  3

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Ms. Zimmer pushes a trash can and it moves across the cafeteria floor
worty [1.4K]

Answer:

Step-by-step explanation:

6 0
2 years ago
Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. The value of this car decreases exponentially o
Likurg_2 [28]

Answer:

A = $44,778.84

A = P + I where

P (principal) = $10,300.00

I (interest) = $34,478.84 or 12 months

Step-by-step explanation:

Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%

To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?

Formula: (\frac{interest rate}{number of payments}) × loan principal = interest

Solution:  Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

(This gives you the amount of interest you pay the first month.)

First, convert R as a percent to r as a decimal

r = R/100

r = 50/100

r = 0.5 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,300.00(1 + 0.5/12)(12)(3)

A = 10,300.00(1 + 0.041666667)(36)

A = $44,778.84

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.

6 0
3 years ago
If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'?
Mice21 [21]

Answer:

<em> (x , y) is translated to Horizontal translation right '6' units and </em>

<em>Vertical translation down '10' units      </em>

<em>(x ,y ) →  ( x +6 , y - 10)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Type of Transformation                              Change to co-ordinate point</em>

<em></em>

<em>Vertical translation up 'd' units                         (x, y) → (x , y+d)</em>

<em>Vertical translation down 'd' units                    (x, y) → (x , y-d)</em>

<em>Horizontal translation left 'c' units                  (x ,y ) → (x - c , y)</em>

<em>Horizontal translation right 'c' units              (x ,y ) → (x + c , y)</em>

<em></em>

<em>Given (x , y) is translated to Horizontal translation right '6' units and </em>

<em>Vertical translation down '10' units      </em>

<em>There fore </em>

<em>(x ,y ) →  ( x +6 , y - 10)</em>

7 0
3 years ago
Read 2 more answers
Can you show me how to find it because I really dont understand
scoray [572]
OK what is it that you can't find
5 0
3 years ago
Can you check my question please? thanks for your help.
SVETLANKA909090 [29]

The correct option will be the last one: f(x)= 9sin(6 \pi x)+6

<em><u>Explanation</u></em>

The general equation for sinusoidal function is: f(x)= Asin(2\pi fx)+b, where A=Amplitude, f= frequency and b= y-intercept

Here the maximum value is 15 and the minimum value is -3. So, the distance between maximum and minimum values is 18. That means, the Amplitude, A= \frac{18}{2}=9

Frequency (f) is given as 3 and y-intercept(b) is 6

So, the required function will be:

f(x)= 9sin(2\pi*3x) +6\\ \\ f(x)= 9sin(6\pi x) +6

6 0
3 years ago
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