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iren [92.7K]
3 years ago
8

The graph represents function 1 and the equation represents function 2:

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

<em>Greetings from Brasil...</em>

In a linear function, the rate of change is given by M (see below).

<h3>F(X) = Mx + N</h3>

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first

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Lillian works 7 hours each day for 5 days a week. She earns £420 each week. Lillian decides that she is going to work 7 hours ea
lord [1]

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Lillian works 7 hours each day for 5 days a week and that she earns £420 each week.

Her earnings per day will be: $420/5 days = $84/day.

Since she works 7 hours each day, her earning per hour will be:

= $84/7

= $12 per hour.

We are further told that Lillian decides that she is going to work 7 hours each day for only 4 days a week and that her earnings are to be reduced by 20%.

Her new earning will be:

= $420 - (20% × $420)

= $420 - (0.2 × $420)

= $420 - $84

= $336.

Her earnings per day will be:

= $336/4 days

= $84 per day

Her earnings hour will be:

= $84/7

= $12 per hour

A reduction of 20% is reasonable as she has lesser days to work while still maintaining the same wage rate per hour. Her per hour rate is still $12 despite working for lesser days.

4 0
3 years ago
There are 26/3 graders and 32 fourth-graders going on a field trip each van can carry 10 students how many vans are needed how m
Komok [63]

students going on trip:  26+32 = 58

58 students * 1 van/10 students = 5.8 vans

round up because we cannot take part of a van

6 vans

5 vans will have 10 students and 1 will have 8 students  OR

4 vans will have 10 students and 2 will have 9 students

5 0
3 years ago
What is the average rate of change for f(x) = 2 ^ x - 12 over the interval 4 &lt;= x &lt;= 8
Naddika [18.5K]

Answer:

The everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:2^x-\:12\:\:\:

Interval : 4 ≤ x ≤ 8

or

Interval = [4, 8]

so

at x₁ = 4, f(x₁) = 2ˣ - 12 = 2⁴ - 12 = 16-12 = 4

at x₂ = 8,  f(x₂) = 2ˣ - 12  = 2⁸ - 12 = 256 - 12 = 244

Using the formula to determine the average rate of change over the interval  4 ≤ x ≤ 8 wil be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [244 - 4] / [8-4]

                      = 240 / 4

                      = 60

Therefore, the everage rate of change over the interal 4 ≤ x ≤ 8 will be: 60

4 0
3 years ago
Use the drop-down menus to complete the statements.
Delicious77 [7]

Answer:

f(-2)=1.

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3 years ago
Which one show factor pairs of 16
salantis [7]

Answer:

There is not enough information

Step-by-step explanation:

If you wanted to find all the factors, here’s a list.

1,2,4,8,16

6 0
3 years ago
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