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kakasveta [241]
3 years ago
8

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that appl

y.
g(x) = x2 – 4x – 21
g(x) = (x – 3)(x + 7)
g(x) = 3x2 – 12x – 63
g(x) = –(x + 3)(x – 7)
g(x) = x2 + 4x – 21
Mathematics
2 answers:
Alchen [17]3 years ago
5 0

Answer:

  • g(x) = x^2 – 4x – 21
  • g(x) = 3x^2 – 12x – 63
  • g(x) = –(x + 3)(x – 7)

Step-by-step explanation:

When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.

These factors multiply out to give ...

  (x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice

When this expression is multiplied by 3, it matches the third choice:

  3(x +3)(x -7) = 3x^2 -12x -63

When the factored form is multiplied by -1, it matches the fourth choice:

  -(x +3)(x -7)

valkas [14]3 years ago
4 0

Answer:

1

3

4

Step-by-step explanation:

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Alik [6]

Answer:

After 3 seconds

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

Seconds to attain maximum height

The maximum of a quadratic function y = ax^2 + bx + c is calculated using:

x = -\frac{b}{2a}

So, we have:

t = -\frac{b}{2a}

Where:

a = -16 and b = 96

So:

t = -\frac{96}{2 * -16}

t = -\frac{96}{-32}

Cancel out negatives

t = \frac{96}{32}

t = 3

5 0
3 years ago
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal w
vampirchik [111]

Answer:

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002

The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm

The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

4 0
3 years ago
An isosceles trapezoid has bases of 4 and 10. If the base angle is 45 what is the area
Alex
The triangle that the height makes would be a 45-45-90 special right triangle. So the height is 3√2, and to find the area, it would be the average of the bases, 7, multiplied by 3√2. So the area of the trapezoid is 21√2.
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Hope this helps!
8 0
4 years ago
Your newest coworker is not as productive as other members of your team. You and your coworkers have to work harder to make up f
Varvara68 [4.7K]

Answer:

(C) Give her advice and tips for how to get things done correctly and efficiently.

Explanation:

You would be most and least likely to: Provide her with suggestions and pointers on how to complete tasks correctly and efficiently.

3 0
3 years ago
Help me please!!!!!!!!!
Veseljchak [2.6K]

Answer:

The answer is B since all parabolas have a domain of all real numbers

4 0
3 years ago
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