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Anvisha [2.4K]
3 years ago
5

The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of

a, b, and c.
Mathematics
1 answer:
Arada [10]3 years ago
8 0
We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.
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The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
vlabodo [156]

Answer:

<h2>Therefore the length of a side of a cube is \sqrt[3]{64}\ or\ 4</h2>

Step-by-step explanation:

The volume of a cube is expressed as L³ where L is the length of each side of the cube.

Given volume of a cube = 64in³

On substituting;

64 = L³

Taking the cube root of both sides to determine L we have;

\sqrt[3]{64} = (\sqrt[3]{L})^{3}\\\sqrt[3]{64} = L\\L=4

Therefore the length of a side of a cube is \sqrt[3]{64}\ or\ 4

8 0
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Seven of the 30 Apple computers have specialized movie editing software. Approximately what percent of the Apple Computers can b
yulyashka [42]
23.3333333 percent repeating.

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8 0
3 years ago
A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential
aliina [53]
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
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P(7)=147 e^(7k)=153
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take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
6 0
3 years ago
Water stations will be placed every 600 meters of a fifteen kilometer race how many water stations will be needed
zaharov [31]
15 km = 15,000 m
every 600 m, there is one water station (starting point at 600 m)
number of stations needed : 15000/600 = 25 water stations
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I need help with this problem and I need it today​
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Answer:

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Step-by-step explanation:

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