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3 years ago

Identify the function as exponential growth or decay. y = a * (8/5) ^ 0

Mathematics

1 answer:

sukhopar [10]3 years ago

4 0

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

$y=a\left(\frac{8}{5}\right)^t$

As the function is of the form

y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

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Which of the following are identities?

podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0

4 years ago

Read 2 more answers

A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans

Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or $1\frac{47}{60}$

→ Substitute values into formula

135 × $1\frac{47}{60}$ = 240.75

8 0

3 years ago

You earn $7.50 per hour at a fast food restaurant. You earned $123.75 last week. How many hours did you work last week?

ladessa [460]

I believe you would need to divide 123.75 by 7.50.

The equation would look something like this:
7.50x=123.75
Where x = # of hours worked
123.75 / 7.50 = 16.5
so x = 16.5
You worked for 16.5 hours

3 0

3 years ago

My daughter is having a hard time trying to figure this problem.

Natalija [7]

Hey there! :-)

First, let's find the slope of the line.

We can do that by using this formula:

Slope=Rise/Run

Where

Rise=how many units we move up

Run=how many units we move left or right.

We move 5 units up and 8 units to the right.

Therefore, the slope is 5/8.

The y-intercept (where the line touches the graph) is -9/8.=

Therefore, the equation of the line is y=5/8x-9/8.

Hope this helps you daughter. Use the comment section to clarify any doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck.

6 0

2 years ago

Read 2 more answers

15. Which of the following statements is true? a. If the calculated value of F statistic is higher than the critical value, we r

quester [9]

Answer:

c) is true

Step-by-step explanation:

Given are four statements. Let us check one by one

a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis

False, we reject H0 in favour or alternate

b) The F statistic is always nonnegative as SSRr is never smaller than SSRur.

F statistics is non negative but reason is bot SSRr and SSRur are positive

Not because SSRr is never smaller than SSRur

c) Degrees of freedom of a restricted model is always less than the degrees of freedom of an unrestricted model.

This is true because in a restricted we put constraints thus df will be less

d) The F statistic is more flexible than the t statistic to test a hypothesis with a single restriction.

False. F statistic is for testing variances while t statistic for means.

4 0

3 years ago