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Irina-Kira [14]
3 years ago
15

Explain Why the graph of a quadratic equation has the shape or a parabola?

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
In a nutshell:
A parabola is curved instead of linear, in your case it is probably just facing up or down so I won't get into square roots for now.
So the quadratic equation that you probably have had to memorize (or will soon) is:

x=(-b[+or-]√(b²-4ac))/2a when you have an equation like ax²+bx+c=0
Now where does the curve shape come from? You see that little pesky plus or minus in the equation? That's because there are always 2 values (inputs) that will generate the same output. 
Example:
y=x²
(2)²=4
(-2)²=...4
So if you were to follow this pattern, and plot the points on a graph, you would end up with a curve. You end up with a curve because the slope is constantly increasing. 

And this is actually where you start the study of Calculus(!), which is all about measuring slopes (And a bunch of other stuff, but this is the easiest part to explain). Actually, in this case of y=x², the slope at any given point (funnily enough) is equal to 2 times your x-value. 

The point is, your line is curved because unlike a linear equation, the slope is changing (at a constant rate).


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Battery life for a hand-held computer is normally distrituted and has a population standard deviation of 8 hours. Suppose you ne
Anton [14]

Answer:

Sample size= 956

Step-by-step explanation:

Hello!

You need to construct an 80% CI for the average life of batteries. (hours)

The study variable is:

X: Lifespan of a battery.

X~N(μ; σ²)

The population standard devition isσ= 8

The interval to estimate the population mean follows the structure:

"Point estimator" ± "margin of error"

X[bar] ± Z_{1-\alpha /2}* (σ/√n)

X[bar] is the sample mean

Z_{1-\alpha /2}* (σ/√n) is the margin of error of the interval (d)

Using the margin of error you can calculate the sample size:

d= Z_{1-\alpha /2}* (σ/√n)

n= (σ* \frac{Z_{1-\alpha /2}}{d})²

n= (8*(\frac{1.283}{0.332} ))^2

n= 955.77 ≅ 956

I hope it helps!

7 0
4 years ago
Write and equation in slope intercept form for the line that has a Slope of 2 and passes though (1,-5)
algol [13]

Answer:

qwertyuiop[

Step-by-step explanation:

4 0
3 years ago
If two events. A and B, are independent then which of the following is always true about their probabilities?
iragen [17]
The answer I think is 4?
6 0
3 years ago
What is the volume of the cylinder?
Elenna [48]

Answer:

Option D. 882\pi\ units^{3}

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

V=\pi r^{2}h

In this problem we have

r=7\ units

h=18\ units

substitute

V=\pi (7^{2})(18)=882\pi\ units^{3} -----> exact value of the volume

5 0
4 years ago
The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package fo
Katyanochek1 [597]
To find this answer, first subtract 1,500 from the amount your class raises (16, 600) so you are just left with the 'leftover' money for students to board.

16600-1500= 15100.

Then, divide 15100 into 367 to find out how many can go.

15100/367= 41.1444. Round down to 41.

41 students can attend, and there will be a bit of leftover money. (if you want to figure out how much is left over, multiply 41 by 367, and then subtract 15100 by the product)
5 0
3 years ago
Read 2 more answers
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