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otez555 [7]
3 years ago
5

Find the common difference of the arithmetic sequence 6.05,6.1,6.15, 6.2

Mathematics
1 answer:
frez [133]3 years ago
8 0

Answer:

0.05

Step-by-step explanation:

Common difference  = 2nd term - 1st term

                                   = 6.1 - 6.05

                                   = 0.05

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What is the solution of the system when just looking at the equations? No Graph!
Kaylis [27]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

y = 5x + 2 and y = 5x – 8

m = 5                 m = 5

b = 2                  b = -8

When comparing equations:

1. Put in <u>slope-intercept</u> form.

2. Compare the <u>slopes and the y-intercepts</u>!

This system has <u>no solution.</u>

Because we have the same slopes and different y-intercepts.

If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.

If the slopes are different, then that system has one solution.

6 0
3 years ago
Which is the more reasonable measurement of the distance between the tracks on a railroad:
nataly862011 [7]

If you're comparing 1.435 * 10^(-3) mm to 1.435 * 10^3 mm, then the more reasonable measurement is 1.435 * 10^3 mm since,

1.435 * 10^3 mm = 1435 mm = 1.435 meters

1 meter is about 3.28 feet approximately

So 1.435 meters is slightly larger (about 4.708 feet) which is a fairly reasonable distance between the tracks on a railroad.

-------------------

Something like 1.435 * 10^(-3) mm is equal to 0.001435 mm, which is far less than 1 mm.

6 0
3 years ago
The cost of renting roller blades is $4 plus $3.50 for each hour that the roller blades are rented. Write an expression to repre
Pavel [41]

Answer:

The expression is equal to 3.50h+4

Step-by-step explanation:

Let

x ----> the number of hours that the roller blades are rented

y ----> the cost of renting roller blades in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The slope is equal to

m=\$3.50\ per\ hour

The y-intercept is equal to

b=\$4 ----> value of y when the value of x is equal to zero

substitute

y=3.50x+4

For x=h hours

substitute

y=3.50h+4

3 0
4 years ago
Dave wants to buy a bike for $180. He has $40. Dave mows lawns for $10 per lawn.
LenaWriter [7]

Answer:

180 = 40 + 10x

Step-by-step explanation:

5 0
3 years ago
Calculate dy/dx if Ln (x + y) = e^x/y<br> Pic included
vesna_86 [32]
The first thing you should do when dealing with implicit derivatives is to respect the rules of derivation of both the logarithm and the exponential
 Then, you must regroup the terms correctly until you get dy / dx
 The answer for this case is D
 I attach the solution

7 0
4 years ago
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