All categories

2 years ago

(5,6) and (−5,12) what is the rate of change??

Mathematics

2 answers:

Misha Larkins [42]2 years ago

6 0

Answer:

The rate of change is -0.6

Step-by-step explanation:

Given

$(x_1,y_1) = (5,6)$

$(x_2,y_2) = (-5,12)$

Required

Determine the rate of change

The rate of change means the slope (m) and it is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{12-6}{-5-5}$

$m = \frac{6}{-10}$

$m = -\frac{6}{10}$

Simplify the fraction

$m = -\frac{3}{5}$

$m=-0.6$

The rate of change is -0.6

Veseljchak [2.6K]2 years ago

4 0

Answer:

- 0.6

Step-by-step explanation:

Start point: (5,6)

End point: (-5,12)

rate of change = (12-6) / (-5-5) = 6/-10 = - 3/5 = - 0.6

You might be interested in

D + 3n = 1 solve for n

Semenov [28]

We are given with the equation d + 3n = 1 and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3. hence n = (1 - d) / 3

4 0

3 years ago

Read 2 more answers

6. The total cost of materials to build the foam

Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

4 0

2 years ago

In an arithmetic sequence, = 5 and = 11.

Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

5 0

2 years ago

To increase or decrease an amount by 30% what single multiplier would you use?

Nataly_w [17]

100%-30%=70%
100%+30%=130%

to decrese by 30%, multiply by 70%
to increase by 30%, multiply by 130%

5 0

2 years ago

Read 2 more answers

13. For the arithmetic sequence: 6, 12, 18, 24,...

serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6$

The general form for arithmetic sequence is:

$a_n=a_1+(n-1)d$

Putting the values for a_1 and d

$a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n$

a) Find a15

$a_{15} = 6(15)\\=90$

b) Write an equation for the nth term.

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago