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3 years ago

How do you know a function is a quadratic function?

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

Answer:

Step-by-step explanation:

A function is quadratic if you can express it in the form :

f(x) = Ax² + Bx + C

and that A is non-zero.

The highest degree variable is 2 (i.e x² is the highest exponent)

Bogdan [553]3 years ago

6 0

Answer:

if the X variable is squared, then the function is quadratic

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A test is worth 100 points and contains 40 questions. there are two-points and four-point questions on the test

solmaris [256]

Answer:

30 two point questions and 10 4 point

7 0

3 years ago

Read 2 more answers

Robert earns $8.65 per hour mowing lawns. A) Write a rule for money m as a function of the number of hours h spent mowing lawns.

____ [38]

Answer:

A) $m=8.65h$

B) $29.58

Step-by-step explanation:

Earnings per hour = $8.65

To find:

A) Write a rule for money m as a function of the number of hours h spent mowing lawns.

Earnings done in one hour = $8.65

Number of hours = $h$

To find the total earnings, $m$ as a function of number of hours $h$ , we need to multiply per hour earnings with number of hours $h$ .

Therefore, the equation is:

$m=8.65h$

B) How much does Robert earn if she works 3 hours and 25 minutes?

First of all, let us convert 3 hours and 25 minutes to hours.

3 hours 25 minutes = 3.42 hours

Therefore, total earnings are:

$m = 8.65\times 3.42 = \$29.58$

5 0

3 years ago

A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am

adelina 88 [10]

The probability that more than 210 people will pass in front of his store is 0.2272.

In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.

We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.

This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.

To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).

P(X > 200) = 1 - P(X ≤ 210).

Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

The value of poissoncdf(200,210) = 0.77271.

Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.

Thus, the probability that more than 210 people will pass in front of his store is 0.2272.

Learn more about Poisson Distribution at

brainly.com/question/7879375

#SPJ4

7 0

2 years ago

How to find the angle of a triangle with 3 sides?

Molodets [167]

Explanation:

The Law of Cosines specifies the relationship between the three sides of a triangle and any one of the angles. If the sides are designated a, b, and c, and the angle opposite side c is C, then it tells you ...

c² = a² + b² -2ab·cos(C)

This relationship can be used to find any and all angles, given the three sides of a triangle. Or, having found one angle using the Law of Cosines, the others can be found using the Law of Sines:

sin(A)/a = sin(B)/b = sin(C)/c

_____

Typically, inverse functions are required. That is, from the Law of Cosines, ...

C = arccos((a² +b² -c²)/(2ab))

And from the Law of Sines, ...

A = arcsin(a/c·sin(C))

B = arcsin(b/c·sin(C))

_____

Note on solving triangles

It often works best to make use of exact values where possible. It is also a good idea to start with the longest side/largest angle. Of course, once you have two angles the other can be found as the supplement of their sum.

8 0

3 years ago

Simplify the following expression: 12a+9b2a-13a2b2+4ab2-16a

Rudiy27

$12a+9b^2a-13a^2b^2+4ab^2-16a= \\ =12a-16a+9ab^2+4ab^2-13a^2b^2= \\ =-4a+13ab^2-13a^2b^2= \\ =a(-4+13b^2-13ab^2)$

8 0

3 years ago

Read 2 more answers