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Alex787 [66]
3 years ago
10

What is the common difference for the sequence shown below?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

we can always find the slope of any line by simply using two points on the line, say let's  use (3,4) and (-1,2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-4}{-1-3}\implies \cfrac{-2}{-4}\implies \stackrel{\stackrel{\textit{common difference}}{\downarrow }}{\cfrac{1}{2}}

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Is x = 6 a solution to the equation 5(x – 3) = x + 13?
deff fn [24]

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

8 0
3 years ago
Please help I need to know the rule in correspondence to the pattern?
trasher [3.6K]

You can see that an odd number of steps is simply multiplying the number of steps by a number that moves up one each time. For instance, 1*1, 3*2, 5*3, etc. It's a bit harder with the even numbers. Their pattern is multiplying half the number of steps by 1.5, but the ones place value moves up a number each time, for example, 2*1.5, 4*2.5, 6*3.5. This means that 10 steps is 10 * 5.5, or 55 blocks and that 100 is 5,050 steps.


8 0
3 years ago
Hildy had 2.5 oz of liquid for a science experiment. the instructions said that the experiment needed 3 oz of liquid. she went t
solmaris [256]
For this case we have the following amount of liquid:
 2.5 oz.
 The amount of liquid needed is:
 3 oz.
 Therefore, the amount of fluid needed is:
 3oz - 2.5oz = 0.5oz
 Answer:
 
b. no, hildy did not get a reasonable amount of liquid because she only needed 0.5 oz (3 - 2.5 = 0.5).
6 0
3 years ago
Read 2 more answers
What is the value of the 2 in 3.25?
gizmo_the_mogwai [7]
20  because when you do it that way when it is behind the decimal the numbers are always the opposite thousand hundred tens ones . tens hundreds thousands
3 0
3 years ago
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Ksenya-84 [330]

Answer:

<u>Hanna is 8 years old.</u>

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = <u>8</u>.

Hanna is <u>8 years</u> old.

5 0
3 years ago
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