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laila [671]
3 years ago
14

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

y = (1/5)x² or  y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola.  We need to find 'a'.   f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²    

We know that when x = 5, y = 5, so we have

5 = a(5²)      now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or  x²/5  (the expressions are equal)

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luda_lava [24]

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

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3 years ago
Ivy is graphing how much money she earns for each hour of babysitting. She finds that the data tends to be linear and draws a li
Bingel [31]

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= 25.50 ÷ 3

= 8.5

Thank me later

7 0
2 years ago
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Given that a­­b = x, evaluate the following:
eimsori [14]

Answer

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3 years ago
An angle measures 172° less than the measure of its supplementary angle. What is the measure of each angle?​
slava [35]

Step-by-step explanation:

x=(180-x)-172

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3 years ago
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
ryzh [129]

Answer:

Step-by-step explanation:

f(x) = x⁵ – 8x⁴ + 16x³

As x approaches +∞, the highest term, x⁵, approaches +∞.

As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).

Now let's factor:

f(x) = x³ (x² – 8x + 16)

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f(x) has roots at x=0 and x=4.  x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.

The graph crosses the x-axis at x=0.

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3 years ago
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