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Alika [10]
2 years ago
13

The graph of y=3x^2-3x-1 is shown. Use the graph to find estimates for the solutions of i)3x^2-3x+2=2 ii) 3x^2-3x-1=x+1

Mathematics
1 answer:
AlexFokin [52]2 years ago
7 0

Answer:

i) (0, 2) and (1, 2), ii) (0.333, 1.333) and (1, 2).

Step-by-step explanation:

i) Let be y=3\cdot x^{2}-3\cdot x -1, if 3\cdot x^{2}-3\cdot x +2 = 2, which is equivalent to the following system of equations:

y = 3\cdot x^{2}-3\cdot x +2

y = 2

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0, 2) and (1, 2)

ii) Let be y=3\cdot x^{2}-3\cdot x -1, if 3\cdot x^{2}-3\cdot x +2 = x+1, which is equivalent to the following system of equations:

y = 3\cdot x^{2}-3\cdot x +2

y = x+1

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0.333, 1.333) and (1, 2)

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Answer:

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Step-by-step explanation:

<u>Solution 1</u>

We can work out the initial number by going backwards from the end:

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0.067*100= 6.7

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<u>Solution 2</u>

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x/10*1000= 67

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2 years ago
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The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What later
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9514 1404 393

Answer:

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Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

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  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

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The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

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Which of the following expressions is equivalent to the expression 5(4n - 11) - 3n + 20?
WINSTONCH [101]
17n-35 would be the correct answer
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Ishmael bought a brand new bag of green, yellow, and red marbles. There are 40 marbles in the bag. 1/4 of the marbles are yellow
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crimeas [40]

Answer:

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Step-by-step explanation:

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The value of the 3 is 30,000,000.

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