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3 years ago

What are the 3 different forms of a quadratic function and what do the variables in each represent?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

8 0

Answer:

general, factored, and vertex form.

general: y=ax^2+b^2+c

Factored: y=(x+a)(x+b)

Vertex: y=a(x-h)^2+k

Step-by-step explanation:

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Help me please guys thanks

AlekseyPX

Answer:

A is correct

Step-by-step explanation:

6 0

3 years ago

Consider the following.

san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k or x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

x = -3pi
x = -pi
x = pi
x = 3pi
x = 5pi

and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are not removable discontinuities (since we're not removing a single point).

3 0

3 years ago

X = 10 x = 2 x = two divided by five. x = 11

KengaRu [80]

Answer:

x = 10

Step-by-step explanation:

You can try the answers to see which works. (The first one does.)

Or, you can solve for the variable:

Divide by 75

... (1/5)^(x/5) = 3/75 = 1/25

Recognize that 25 = 5^2, so ...

... (1/5)^(x/5) = (1/5)^2

Equating exponents, you have

... x/5 = 2

... x = 10 . . . . . multiply by 5

_____

You can also start by taking logarithms:

... log(75) +(x/5)log(1/5) = log(3)

... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log

... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression

... x = 10 . . . . . multiply by 5

_____

"Equating exponents" is essentially the same as taking logarithms.

5 0

3 years ago

The average of 21 number is 30.And largest of it is 50 if we remove the largest 50 what will be average of remaining number will

VLD [36.1K]

Answer:

Step-by-step explanation:

Sum of the 21 numbers is 21*30 = 630

Now let's remove 50 from the sum of 630

630-50 = 580

The new average can be found. Remember we removed the largest number so we now have 20 numbers.

580/20 = 29

happy holidays! click the heart to give thanks :)

4 0

3 years ago

Andrew participated in a bicycle race. The total distance covered was 56

Inessa05 [86]

(B) 4 hr is the correct answer.

<h3>Explanation :</h3>

★ Speed of body is defined as the ratio of distance travelled to the time taken $.$

speed = distance/time

Given that,

distance = 56 miles

speed = 14 miles per hour

By substituting the values, we get

⭆ time = distance/speed

⭆ time = 56/14

⭆ time = 4 hr

<h3>Hope It Helps!</h3>

8 0

3 years ago