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Jet001 [13]
3 years ago
7

Find the Domain: Show all steps h(x)=2(x+5)^2-5

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

The domain is all real numbers (see the explanation)

Step-by-step explanation:

we have

h(x)=2(x+5)^2-5

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (-5,-5)

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

In this problem

The domain is the interval (-∞,∞)

The domain is all real numbers

The range is the interval [-5,∞)

All real numbers greater than or equal to -5

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup
mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = \frac{2.5}{2}=1.25

Height of can = 2.5\times 3=7.5

The volume of sphere is

V=\dfrac{4}{3}\pi r^3

where, r is radius of sphere.

The volume of a tennis balls is

V=\dfrac{4}{3}\pi (1.25)^3

V=8.18123

V\approx 8.18

Volume of three tennis balls is

V_1=3\times 8.18=24.54

The volume of cylinder is

V=\pi r^2h

The volume of can is

V_2=\pi (1.25)^2(7.5)

V_2=36.81553

V_2\approx 36.82

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

            = 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

3 0
4 years ago
Can someone help me on this one.
Thepotemich [5.8K]
1. 6km/h
2. 10 minutes
7 0
4 years ago
Read 2 more answers
The cooper family owns a luxury sedan and a compact car. The fuel tank capacity of the luxury sedan 9s 22.45 gallons and that of
Viefleur [7K]

Answer:

13.75\ gal

Step-by-step explanation:

we know that

To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan

so

22.45-8.7=13.75\ gal

4 0
4 years ago
The cost of three tickets to a movie is at least $20. Select an inequality that represents the cost x (in dollars) of each ticke
SVETLANKA909090 [29]

Answer:

x\geq \$6.67

Step-by-step explanation:

Let

x------> the cost of each ticket

we know that

3x\geq 20 ----> inequality that represent the situation

solve for x

Divide by 3 both sides

x\geq 20/3

x\geq \$6.67

5 0
3 years ago
Please answer all questions i will give brainliest
jarptica [38.1K]

Answer:

Answers for 1-126

Step-by-step explanation:

a. x + 8 = 21

-8 -8

x = 13

b. x - 32 = 55

+32. +32

x = 87

c. 3x = 54

÷3. ÷3

x = 18

d. x/5 = 10

×5. ×5

x = 50

Answer for 1-124

1/5 = 2/10 , so 2 of the 10 colors are blue and 3 of the 10 colors are green.

The probability is 5/10 = 1/2

this is all I could do. sorry

4 0
2 years ago
Read 2 more answers
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