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Hoochie [10]
2 years ago
11

Given an = 3n-5, what is the common difference?

Mathematics
1 answer:
belka [17]2 years ago
5 0

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is a_{n}=dn-a_{0}. Where d is the common difference and a_{0} is the zeroth term. So, in the given equation 3 must be the common difference.

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Which equation represents the line that passes through (5,8) and (9,2)
Dahasolnce [82]
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0
3 years ago
Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t h
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Answer:

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4vir4ik [10]

Answer:

7height

Step-by-step explanation:

8 0
3 years ago
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Which function represents a reflection of f(x) =
liubo4ka [24]

If your original equation was f(x) = 3(2)^x, then a reflection over the x-axis means you need all the y-values to switch sign.  This means you need to multiply that function by -1.

    g(x) = -1\cdot 3(2)^x or  g(x) = -3(2)^x

8 0
2 years ago
Which of the following figures could have both line symmetry and rotational symmetry?
Lana71 [14]

Answer:

Triangle  and square!

Step-by-step explanation:

Let me know if im wrong and I will fix it.

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