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3 years ago

What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:

u=5

Step-by-step explanation:

(u-3)2+2(u-3)-8=0

2u-6+2u-6-8=0

4u-20=0

4u=20

u=5

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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t

docker41 [41]

Answer:

See below ~

Step-by-step explanation:

Things to Find

Volume of Toy
Difference of Volumes in Cube and Toy
Total Surface of Toy

Volume of Toy

Volume of Hemisphere + Volume (Cone)
2/3πr³ + 1/3πr²h
1/3πr² (2r + h)
1/3 x 3.14 x 16 (8 + 4)
1/3 x 50.24 x 12
50.24 x 4
200.96 cm³

Volume of Circumscribing Cube

Edge length is same as diameter
V = (8)³
V = 512 cm³

Difference in Volume

512 - 200.96
311.04 cm³

Slant height of cone

l² = 4² + 4²
l² = 32
l = 4√2 cm = 5.6 cm

Surface Area of Toy

CSA (hemisphere) + CSA (Cone)
2πr² + πrl
πr (2r + l)
3.14 x 4 (8 + 5.6)
12.56 x 13.6
170.8 cm²

3 0

2 years ago

What is 9.6+5.42-3.2 squared

Aleonysh [2.5K]

Answer:

139.7124

Step-by-step explanation:

9.6+5.42-3.2 (^2)

11.82^2

= 139.7124

7 0

3 years ago

Read 2 more answers

PLS help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Darina [25.2K]

9514 1404 393

Answer:

y = -1

Step-by-step explanation:

Sides marked with the same marking are congruent, so we have two equations:

3x -y = 16
2x +y = 9

Adding the equations gives ...

5x = 25

x = 5 . . . . . . divide by 5

Then the second equation tells us ...

y = 9 -2x = 9 -2(5) = -1

The value of y is -1.

5 0

3 years ago

If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commuto f

notka56 [123]

Answer:

Yes, a loan would meet our requirement to commute for an impressive summer internship program next year

Step-by-step explanation:

Taking a loan would meet our requirement of buying a car. We will be able to make the downpayment. This will enable us to buy a car. So the decision to take the loan will be valid. It will help us in commuting easily for the summer internship program. We will immediately get the car after making a down payment and will avail of the benefits of using the car. This is a healthy type of debt.

4 0

3 years ago

Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought

djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 $\times$ 2 = $6.5

Price of two drink = $1.85 $\times$ 2 = $3.70

Price of two bags of popcorn = $0.99 $\times$ 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

7 0

3 years ago