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3 years ago

Give an example of a unit rate used in a real-world situation

1 answer:

7 0

-- 30 miles per hour

-- $6.50 per hour

-- 365 days per year

-- 60 seconds per minute

-- $2.49 per pound

-- 3.47⁹ per gallon

-- 1800 calories per day

-- 360 degrees per revolution

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If a sequence is defined recursively by (0)=3 and (n+1)=-f(n)+5 for n≥0, Then f(2) is equal to

lana66690 [7]

Answer:

f(2) = 3

Step-by-step explanation:

We are given:

f(0) = 3

and

f(n+1) = -f(n) + 5

We have to find the value of f(2). In order to find f(2) we first have to find f(1)

f(n + 1) = - f(n) + 5

Using n = 0, we get:

f(0 + 1) = - f(0) + 5

f(1) = -f(0) + 5 Using the value of f(0), we get

f(1) = -3 + 5 = 2

Now using n = 1 in the function, we get:

f(1 + 1) = - f(1) + 5 Using the value of f(1), we get

f(2) = -2+ 5

f(2) = 3

Thus the value of f(2) will be 3

6 0

3 years ago

Jonathans parents told him that for every 5 hours of homework or reading he completes he will be able to play 3 hours of video g

TEA [102]

Jonathan get more hours because if him and lucks do 5 hours of homework Jonathan will play 3hours and luckas will play 2.5hours

4 0

3 years ago

a pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales. write a linear equation for th

weeeeeb [17]

Answer: W= 5000+0.07S

Step-by-step explanation:

Given: A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales.

Total wages = Monthly salary + 7% of (Monthly sales)

Let salesperson’s monthly wage be W and monthly sales be S.

Then, W = 5000+(0.07) (S) [Convert percent into decimal by dividing it by 100]

Or W= 5000+0.07S

Required linear equation: W= 5000+0.07S

8 0

3 years ago

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

yan [13]

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is $\frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}$

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be $\frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}$

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

3 0

3 years ago

Read 2 more answers

Which expression is EQUIVALENT to (m^8 n^-4) 1/4 ?

mamaluj [8]

Answer:

It's C because (m^8)^1/4 can simplify to (m^2)

and (n^-4)^1/4 can simplify to (n^-1), which would then become 1/n because it is a negative exponent.

Combine the two and you get: m^2/n

Step-by-step explanation:

6 0

3 years ago