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lana66690 [7]
2 years ago
12

True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why

Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

  • Zero or Root means that when you evaluate the function in that value the outcome is zero.
  • X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

brainly.com/question/1214333

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allsm [11]

Answer:

The answer is "Option a".

Step-by-step explanation:

n= 93 \\\\p= 0.24\\\\\mu=?\\\\ \sigma=?\\\\

Using the binomial distribution: \mu = n\times p = 93 \times 0.24 = 22.32\\\\\sigma = \sqrt{n \times p \times (1-p)}=\sqrt{93 \times 0.24 \times (1-0.24)}=4.1186

In this the maximum value which is significantly​ low, \mu-2\sigma, and the minimum value which is significantly​ high, \mu+2\sigma, that is equal to:

\mu-2\sigma = 22.32 - 2(4.1186) = 14.0828 \approx 14.08\\\\\mu+2\sigma = 22.32 + 2(4.1186) = 30.5572 \approx 30.56

3 0
3 years ago
Write 2.05 × 10^5 without exponents.
kondor19780726 [428]

Answer: 205000

Step-by-step explanation:

4 0
3 years ago
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djyliett [7]

Answer: 8x

2.9543127e+21xy

9x

Step-by-step explanation:

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125x^6= 30517578125x    27y^15= 2.9543127e+21                             30517578125x-2.9543127e+21= 2.9543127e+21xy

4-7=3+x=3x    5-8=3+x=3x   3x * 3x= 9x

7 0
3 years ago
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If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

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3 years ago
An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?
malfutka [58]

Answer:

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Step-by-step explanation:

Since the assistant can peel 18 potatoes in 6 minutes, we know that he can peel \frac{18}{6}=3 potatoes in 1 minute. Therefore, he will be able to peel 3*50=150 potatoes in 50 minutes. Hope this helps!

7 0
3 years ago
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