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4 years ago

10

Find a quadratic function that includes the set of values below.

1 answer:

timurjin [86]4 years ago

3 0

Plug in points to general form of quadratic function:
y=ax²+bx+c

(0,7)
7 = c
(2,13)
13 = 4a +2b + c
(4,3)
3 = 16a + 4b + c

Now solve the system of equations in two unknowns.

Substitute the value of 7 for c in the second equation:
13 = 4a + 2b + 7
6 = 4a + 2b
3 = 2a + b
b = 3 - 2a

Substitute this into third equation:
3 = 16a + 4(3-2a) + 7
3 = 16a + 12 - 8a + 7
3 = 8a + 19
-16 = 8a
a = -2

b = 3-2a = 3 - 2(-2) = 7

a = -2, b =7. c = 7
The quadratic function is y= -2x² + 7x +7

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Alexxx [7]

58 plus tip of .20

so

58 times 0.2 = 11.6 is the tip

now we add tax (Presuming we son't tax the tip)

58 times 0.07 = 4.06 the tax

so its

58 + 11.6 + 4.06 = $73.66 total cost

8 0

3 years ago

Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:

ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}$

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

$$=\frac{3}{18}$

Divide numerator and denominator by the common factor 3.

$$=\frac{3\div3}{18\div3}$

$$=\frac{1}{6}$

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

3 0

3 years ago

How do you Divide 7÷135

lozanna [386]

By doing long division. Answer is 7/135

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3 years ago

What is the simplest form of the following expression?

S_A_V [24]

$\sqrt[3]{ \frac{12x ^{2} }{16y} } = \sqrt[3]{\frac{3x ^{2} }{4y} }$

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3 years ago

Read 2 more answers

Draw the graphs of the lines below on the same grid to find the coordinates of the point of

Amanda [17]

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>

3 0

3 years ago