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dimaraw [331]
3 years ago
12

Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

  • so when x = 0, y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

  • so when x = -2, y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

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A company rents water tanks shaped like cylinders. Each tank has a radius of 3 feet and a height of 2 feet. The cost is $ 4 per
Alexxandr [17]

Answer:

The total cost of the cylindrical tank is $226.28

Step-by-step explanation:

Dimensions of the tank are:  radius = 3 ft , height = 2 ft

Cost per cubic foot = $4

Now, total volume of the cylindrical tank =  \pi \times r^{2}h

Here, take π = 22/7

So, Volume  = \frac{22}{7}  \times (3)^{2} \times (2) = \frac{22 \times 9 \times 2}{7}  = \frac{396}{7}  = 56.57 cubic ft

So, the <u>volume of the tank = 56.57 cubic feet. </u>

Now, cost per cubic foot = $4

Hence, the total cost of the tank = Total Volume of the tank x cost per foot

                                                       = 56.57 x 4 = $226.28

So, the total cost of the cylindrical tank is $226.28

5 0
4 years ago
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Whitepunk [10]

Answer:

the consecutive numbers are: 23, 25, 27, 29, 31.

Step-by-step explanation:

23+25+27 is 75

29+31 is 60

75-60 is 15

5 0
3 years ago
A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.
Rudiy27

Answer:

0.1587

Step-by-step explanation:

Use this website : https://www.numerade.com/questions/a-box-of-oatmeal-must-contain-16-oz-the-machine-that-fills-the-oatmeal-boxes-is-set-so-that-on-the-2/

7 0
3 years ago
Which is the value of this expression when x=-2 and y=-3?
Sever21 [200]

360 hope that this helped

8 0
3 years ago
Factor 12x^3 -3x^2=0
AfilCa [17]

Answer:

Step-by-step explanation:

12x³ = 2²·3·x³

The greatest common factor of 12x³ and 3x² is 3x².

12x³ - 3x² = (4x - 1)3x²

4 0
3 years ago
Read 2 more answers
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