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3 years ago

10

Domain Range Discrete or continuous?

2 answers:

Nataliya [291]3 years ago

6 0

Answer:

7

Step-by-step explanation:

pogonyaev3 years ago

6 0

It is continuous and it domain

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WILL MARK BRAINIEST AND 25 POINTS

MrRissso [65]

I did this in school: it would be A, C, and D

7 0

3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

The price of gasoline was 96¢ a gallon<br> before it went up 25%. How much did<br> it go up?

maria [59]

It went up 24c because 25% of 96c is 24c

5 0

4 years ago

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and

kogti [31]

No he did not because 20% of 250 is 50 and there are 90 students not 50 students!! Hope this helped you a lot !!!

8 0

4 years ago

Read 2 more answers

What is the volume of a rectangular storage container with a LENGTH of 2.5 ft, a WIDTH of 1 ft, and a HEIGHT of 2 ft? Question 1

solong [7]

A is the correct answer
$2.5 \times 1 \times 2 = 5 {ft}^{3}$

good luck

5 0

3 years ago