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3 years ago

14

The graph of a quadratic function with vertex (3, 1) is shown in the figure below. Find the domain and the range. Write your ans

wers as inequalities, usuing x or y as appropriate.

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

<u>There is no restriction to domain:</u>

x = (-∞, +∞)

<u>The range is to vertex coordinate of 1:</u>

y = [1, +∞)

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 11 feet and

Inessa [10]

Answer: The percentage ≅ 48.4%

Step-by-step explanation:

* Lets revise how to find the volume of a container shaped cylinder

- The volume of any container = area of its base × its height

- The base of the cylinder is a circle, area circle = 2 π r,

where r is the length of its radius

* In container A:

∵ r = 13 feet , height = 13 feet

∴ Its volume = π (13)² × (13) = 2197π feet³

* In container B:

∵ r = 9 feet , height = 14 feet

∴ Its volume = π (9)² × (14) = 1134π feet³

* So to fill container B from container A, you will take from

container A a volume of 1134π feet³

- The volume of water left in container A = 2197π - 1134π = 1063π feet³

* To find the percentage of the water that is full after pumping

is complete, divide the volume of water left in container A

by the original volume of the container multiplied by 100

∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%

8 0

2 years ago

RAH SOMEONE PLZ HELP ASAP/

lesantik [10]

1rst step is 7×22=154

2nd step is 8-2=6

3rd step is 154+6=160

Last step is 160÷3=53.3333333333

I hope this helps it will be b because 53.3333333333 is near 60

6 0

3 years ago

I only need help with #10 :) offering 10 pts

Semenov [28]

Answer:

The length of one side of the square is 3.

Step-by-step explanation:

The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.

The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:

12x = 4x + 8

You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.

8 0

3 years ago

Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o

bogdanovich [222]

Cherry pie is $ C.
Pumpkin pie is $ P.

C + 9P =60 -------> C=60 - 9P
11C+4P = 90

11(60 - 9P) +4P=90
660 - 99P + 4P = 90
-95P = -570
P =570/95 = 6
P=6
C=60-9*P=60 - 9*6= 60-54=6
C=6

Answer: 1 cherry pie -$6, 1 pumpkin pie - $6.

Check:
11C+4P = 90 , 11*6 +4*6 =90, 66+24=90, 90=90 True

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3 years ago

Eleven more than six times a number is twenty-three

Natali5045456 [20]

$11+6x=23 \\ \\ 11+6x-11=23-11 \\ \\ 6x=12 \\ \\ \frac{6x}{6}= \frac{12}{6} \\ \\ x=2$

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2 years ago

Read 2 more answers