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eimsori [14]
2 years ago
14

Draw the graph of f(x) = (x − 1)2 − 2. Start by creating a table of ordered pairs for the function. Then plot the points from th

e table, and draw a curve connecting the points.
Mathematics
1 answer:
pogonyaev2 years ago
7 0

The attached graph represents the graph of f(x) = (x - 1)^2 - 2

<h3>How to plot the graph?</h3>

The equation is given as:

f(x) = (x - 1)^2 - 2

Next, we set x to -2, -1, 0, 1 and 2.

So, we have:

f(-2) = (-2 - 1)^2 - 2 = 7

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

f(0) = (0 - 1)^2 - 2 = -1

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

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

This means that the table of values is

x      f(x)

-2    7

-1    2

0    -1

1     -2

2    -1

Next, we plot the above points and connect them.

See attachment for the graph of f(x) = (x - 1)^2 - 2

Read more about graphs and functions at:

brainly.com/question/4025726

#SPJ1

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OLga [1]

Answer:

Step-by-step explanation:

1/2(-9+n)=20

n=40+9

n=49

6 0
3 years ago
Read 2 more answers
What is 8.51 x 104 in standard form?
notsponge [240]

I think the answer would be 85.1

8 0
3 years ago
Read 2 more answers
Please help! :)
Volgvan

Answer:

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π  square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

\dfrac{90}{9\pi} =\dfrac{360}{A}

Setting the given statements in proportion:

\dfrac{90}{9\pi} =\dfrac{360}{A}

On solving we get the required

\dfrac{9\pi}{A} =\dfrac{90}{360}

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

\textrm{Area of Circle}=4\times (Shaded\ part)

\textrm{Area of Circle}=4\times 9\pi

\textrm{Area of Circle}=36\pi

So the correct option is First one

i.e \dfrac{9\pi}{A}=\dfrac{90}{360}

On solving this we get

A=36\pi\ feet^{2}

8 0
3 years ago
A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Deter
Korolek [52]

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

5 0
3 years ago
if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam
blsea [12.9K]

Answer:

101.4 liters.  

Step-by-step explanation:

First of all we will find mileage of car.  

\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}

\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}

\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

\text{Amount of gas needed}=\frac{722}{7.12}

\text{Amount of gas needed}=101.388

Therefore, it will take 101.4 liters of gas to travel 722 miles.

4 0
3 years ago
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