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3 years ago

The equation of the quadratic function represented by the graph y=a(x-3)-1 what is the value of a

1 answer:

3 0

The value of "a" can be anything you want it to be. Usually, it is chosen to make the function meet some additional constraint, such as going through a particular point. You have not provided any such constraint, so there is no rationale for choosing any particular value of "a".

Let a=2, if you like.

You might be interested in

A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. find the height and radius of the cup that will use the

NemiM [27]

The formula for volume of cone is:

V = π r^2 h / 3

π r^2 h / 3 = 36 cm^3

Simplfying in terms of r:

r^2 = 108 / π h

To find for the smallest amount of paper that can create this cone, we call for the formula for the surface area of cone:

S = π r sqrt (h^2 + r^2)

S = π sqrt(108 / π h) * sqrt(h^2 + 108 / π h)

S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h]

Surface area = sqrt (108) * sqrt[(π h + 108 / h^2)]

<span>Getting the 1st derivative dS / dh then equating to 0 to get the maxima value:</span>

dS/dh = sqrt (108) ((π – 216 / h^3) * [(π h + 108/h^2)^-1/2]

Let dS/dh = 0 so,

π – 216 / h^3 = 0

h^3 = 216 / π

h = 4.10 cm

Calculating for r:

r^2 = 108 / π (4.10)

r = 2.90 cm

Answers:

h = 4.10 cm

4 0

3 years ago

Read 2 more answers

Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth ra

podryga [215]

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

4 0

4 years ago

Jenny has been saving quarters in a piggy bank since she was born. She currently has 192 quarters in her piggy bank. She wants t

Mashutka [201]

The answer is D because....
192/4
$48
From that you can eliminate A and C.
Solve for B and D knowing that she needs 27 more dollars.
216/4= 54 *No*
108/4= 27 *Yes*
$48+$27= $75

8 0

3 years ago

What would the constant rate of change be?

deff fn [24]

Answer:

- 8

Step-by-step explanation:

An equation in the form y = mx + c ( m is the slope and c is the y- intercept )

Has a constant rate of change = m

given

$a_{n}$ = 12 + (n - 1)(- 8) ← distribute and simplify

y = 12 - 8n + 8

y = - 8n + 20 ← in the form y = mx + c

with constant rate of change = - 8

4 0

4 years ago

What is the equation of the line in slope-intercept form?

Anestetic [448]

Answer:

The equation of the line in slope-intercept form is:

y = -1/6x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the points on the line graph

(0, 4)

(6, 3)

Determining the slope between (0, 4) and (6, 3)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (6, 3)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [3 - 4] / [6 - 0]

= -1 / 6

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

y = mx + b

y = -1/6x + 4

Therefore, the equation of the line in slope-intercept form is:

y = -1/6x + 4

5 0

3 years ago