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aalyn [17]
3 years ago
14

Help so the numbers I wrote are the options ​

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

The value of discriminant = 25

It has two different x-intercepts

It has two zeroes -1/3 and -2

Step-by-step explanation:

∵ f(x) = ax² + bx + c

∵ The discriminant = b² - 4ac

∵ f(x) = 3x² + 7x + 2

∴ The value of discriminant = 7² - 4(3)(2) = 49 - 24

                                             = 25

∵ The value of discriminant > 0

∴ f(x) has two different roots

∴ It has two different x-intercepts

∵ f(x) = 0

∴ 3x² + 7x + 2 = 0

∴ (3x + 1)(x + 2) = 0

∴ 3x + 1 = 0 ⇒ 3x = -1 ⇒ x = -1/3

∴ x + 2 = 0 ⇒ x = -2

∴ It has two zeroes -1/3 and -2

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kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

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2 years ago
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3 0
3 years ago
Estimate show how you estimated 412 divided by 97
nataly862011 [7]
<span>the division of 412 divided by 97 can be estimated as:

412 can be estimated  as: 400
97 can be estimated to 100

so, now on dividing 400/100 we get, the answer as 4.

To verify the estimation: when 412 is divided by 97, the answer is 4.24 which can be nearly written as 4 only.

Thus, our estimation was correct.</span>
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4 years ago
What is the axis of symmetry of the function f(x) = 2x^2 - 4x + 5
Taya2010 [7]
The axis of symmetry of this function is x = 1. I hope this helps!
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