Help me out. i’m stuck.

The table represents a linear function. find the values of a,b, and c. Show your work.

viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

of the line and c is the y-intercept (the point of intersection

between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2 ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2 ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2 ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

6 0

2 years ago

Please help me on this I’m super stuck

erastova [34]

Answer:

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

6 0

3 years ago

If f (x) = 2x + 1, then, f (3)

Mashutka [201]

Answer:

x=1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?

VMariaS [17]

Answer:

the value of x that gives the greatest difference is 10.

Step-by-step explanation:

Given;

x² and x³

values of x = 6, 8 and 10

When x = 6

6³ - 6² = 216 - 36 = 180

When x = 8

8³ - 8² = 512 - 64 = 448

When x = 10

10³ - 10² = 1000 - 100 = 900

Therefore, the value of x that gives the greatest difference is 10.

5 0

2 years ago

Use what you've learned in this unit to model the population of Western

azamat

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

4 0

1 year ago