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inysia [295]
3 years ago
9

Write the equation for the graphed function. Absolute value graph shifted left 3 units.

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

D

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.

f(x) = |x-3|

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What is the volume of the figure???
lianna [129]

Answer:

1530cm

Step-by-step explanation:

First figure      (9x10)x9=810

Second figure (18x10)x4=720

720+810=1530

6 0
3 years ago
Computers from a particular company are found to last on average for 24 months without any hardware malfunction with a standard
vodomira [7]

Answer:

At least 68% of observations lie between 22 and 26 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 2

22 = 24 - 2

22 is one standard deviation below the mean

26 = 24 + 2

26 is one standard deviation above the mean.

So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.

8 0
3 years ago
Simplify
denis23 [38]

Hello!

<u><em>Answer: </em></u>

<u><em>1. =-6</em></u>

<u><em>2. =39</em></u>

<u><em>3. =-603</em></u>

_________________________________________________

Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

1. -4(3-1)+2

Do parenthesis first.

(3-1)=2

-4*2+2

Then do multiply left to right.

-4*2=-8

Add left to right.

-8+2

8-2=6

*Answer should be have negative sign.*

Answer: → \boxed{=-6}

______________________________________________________

2. 3⋅[(30−8)÷2+2]

Do parenthesis first.

(30-8)=22

22/2+2

Then divide left to right.

22/2=11

Add left to right.

11+2=13

Multiply left to right.

3*13=39

*Answer should be have positive sign.*

Answer: → \boxed{=39}

_____________________________________________________

3. 14(1-23)2+13

Do parenthesis first.

(1-23)=-22

14(-22)*2+13

Then, you multiply left to right.

14(-22)=-308

-308*2=-616

Add/subtract left to right.

-616+13

616-13=603

*The answer must be have a negative sign*

Answer: → \boxed{=-603}

____________________________________________________________

Hope this helps!

Thank you!

Have a great day!

-Charlie

7 0
3 years ago
V = u + at<br> u = 2<br> a = -5<br> t = 1/2 (0.5)
Vsevolod [243]

v = 2 + ( - 5 \times 0.5) \\ v = 2  - 0.5 \\ v = 1.5
8 0
3 years ago
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns
icang [17]

Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:

the slope is always the ratio of

y coordinate change / x coordinate change

in our case, x is the time (minutes), and y is the water height (inches).

we see, the longer the pool get filled, the higher the water gets. logical, right ?

by checking the data points we see :

with every 2 minutes passing the water height increases by 4 inches.

so, the slope is +4/+2 = 2/1 = 2

and that ratio tells us now the increase of the water height with every fraction or multiple of the measured 2-minute interval.

every 2 minutes 4 inches more.

so, e.g. every 3×2 = 6 minutes we get 3×4 = 12 inches more.

and - every 1/2 × 2 = 1 minute more we get 1/2 × 4 = 2 inches more.

4 0
2 years ago
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