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Leona [35]
2 years ago
13

The yearly attendance at a ballpark is shown in the table. Which answer describes the average rate of change from Year 2 to Year

5?

Mathematics
1 answer:
SpyIntel [72]2 years ago
8 0

Answer:

A

Step-by-step explanation:

The average rate of change is the change in attendance over change in time.

Δy / Δx

(333.7 - 298.3) / (5 - 2)

11.8

So the average rate of change is an increase of 11.8 thousand people per year.

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Which equation represents the polynomial function with zeros −1, 1, and 3 (multiplicity of 2), and a y-intercept of −18? (4 poin
Vlad [161]
Correct Answer:
3rd option is the correct answer

Solution:
The zeros of the polynomial are -1,1 and 3. The multiplicity of 3 is 2. So the polynomial can be expressed as:

y=a (x-3)^{2}(x-1)(x+1)

The y-intercept of the polynomial is -18. This means the polynomial passes through the point (0,-18). Therefore, y must be -18 when x = 0. Using these values of x and y in previous equation we get:

-18=a (0-3)^{2}(0-1)(0+1) \\  \\ 
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The final equation of the polynomial becomes:

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7 0
3 years ago
Solve for x.<br><br> 4−(2x+4)=5<br><br> A. x=32<br> B. x=−52<br> C. x=−10<br> D. x = 6
Dennis_Churaev [7]
  • <em>Answer:</em>

<em>x = - 2.5</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>4 - (2x + 4) = 5</em>

<em>4 - 2x - 4 = 5</em>

<em>- 2x = 5</em>

<em>2x = - 5</em>

<em>x = - 5 : 2</em>

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<em>Good luck !</em>

6 0
3 years ago
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4vir4ik [10]

Answer:

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Step-by-step explanation:

Standard form: f(x) = x^2 - 25 < 0.

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Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.

Answer by open interval: (-5, 5)

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lakkis [162]

Step-by-step explanation:

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2 years ago
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andrew11 [14]

Answer:

16x+36

Step-by-step explanation:

4(4x + 9)

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