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wolverine [178]
3 years ago
8

Graph for the quadratic formula f(x) = (x - 3) ^2 +5

Mathematics
1 answer:
aksik [14]3 years ago
6 0

Please see the attached graph to see f(x) = (x - 3) ^2 +5 graphed.

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an 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter piece. find the length of each peice
gtnhenbr [62]

Answer:

The longer piece is 15 feet long and the shorter piece is 3 feet long.

Step-by-step explanation:

Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:

x + y = 18

x = 5y

Solve by substitution by substituting 5y as x into the first equation:

x + y = 18

5y + y = 18

Solve for y:

6y = 18

y = 3

So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:

3(5)

= 15

So, the longer piece is 15 feet long.

The longer piece is 15 feet long and the shorter piece is 3 feet long.

7 0
3 years ago
If 3/4 of a ton of sand covers 2/5 of a playground, how many tons of sand are required to cover the entire playground?
saw5 [17]
3t/4=2p/5  solve for p

p=15t/8

p=1.875 tons of sand
5 0
4 years ago
A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area o
Charra [1.4K]

Answer:

<em>1620in³</em>

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

Given

B = 180in²

H = 9in

get the volume of the prism

Volume of the prism  = 180 * 9

Volume of the prism  = 1620in³

<em>Hence the volume of the rectangular prism is 1620in³</em>

4 0
3 years ago
Find the product and explain the process and reasoning. $ 0 . 79 × 3 . 7 = ?
geniusboy [140]
Your answer would be 2.93.
8 0
3 years ago
A rectangle has a perimeter of 35 1 half feet. If the length is 12 feet, what is the area of the rectangle?
Bess [88]

Answer:

The area of the rectangle is 69 feet squared.

Step-by-step explanation:

8 0
3 years ago
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