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Helga [31]
3 years ago
11

The graph of the function f(x) =x^2 is shown on the grid below. Graph the function g(x) =(x-2)^2 -4 in the interactive graph.

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

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Convert 9354grams to kilograms
STatiana [176]

Answer:

9.354kg

Step-by-step explanation:

7 0
3 years ago
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
3 years ago
13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast
Ostrovityanka [42]

Answer:

b. 144.8

Step-by-step explanation:

When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is  beneficial to assign different  weight on the observations  such that the observation closer to the time period being forecast, has higher weight.  This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.

The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 =  144.8

4 0
3 years ago
A line passes through the points(-9,-9) and (-6,-6)<br> Fine the slope of the line
fgiga [73]

Answer:

Slope of the line = 1

Step-by-step explanation:

A line with two points, we are asked to find the slope

We are using the formula

m = (y_2 - y_1) /( x_2 - x_1)

We are provided with some points

( -9 , -9) ( -6 , -6)

x_1 = -9

y_1 = -9

x_2 = -6

y_2 = -6

Insert the values into the equation

m = (y_2 - y_1) / (x_2 - x_1)

m = ( -6 - (-9)) / ( -6 - (-9))

Hint: - * - = +

m =( -6 + 9) / ( -6 + 9)

= 3 / 3

= 1

Slope m = 1

Therefore, the slope of the line = 1

4 0
3 years ago
What is 10 times as many as
Talja [164]

Answer:

To answer this question, more information needs to be disclosed.

3 0
3 years ago
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