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3 years ago

In an arithmetic sequence, a1=5 and a6=-5. Determine an equation for an, the nth term of this sequence.

Mathematics

1 answer:

GalinKa [24]3 years ago

6 0

Answer: 7 - 2n

Step-by-step explanation:

a1 = 5

a6 = -5 = a + (n - 1)d = a + (6 - 1)d

a + 5d = -5

Since a1 = 5

5 + 5d = -5

5d = -5 - 5

5d = -10

d = -10/5

d = -2

Therefore, the equation to calculate the nth term of this sequence will be:

= a + (n-1)d

= a + (n - 1)-2

= 5 -2n +2

= 7 - 2n

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Find the coordinates of the vertices of the figure after the given transformation: T<0,7>

valentina_108 [34]

Answer:

Option A.

Step-by-step explanation:

The general transformation works as follows:

T<a,b>(x, y) = (x + a, y + b)

Then for our transformation, we will have:

T<0,7>(x, y) = (x, y + 7)

So now that we know how the transformation works, we need to apply it to the vertices.

Looking at the graph we can see that the vertices are:

X = (-4, -5)

W = (-3, -3)

L = (-5, -2)

Then the new points will be:

X' = (-4, - 5 + 7) = (-4, 2)

W' = (-3, -3 + 7) = (-3, 4)

L' = (-5, -2 + 7) = (-5, 5)

Then the correct option is A.

3 0

3 years ago

2/x=1/4 help me solve this

bonufazy [111]

It is a linear equation with only one unknown, although it looks strange because of the fractions, so lets get rid of the fractions:
<span>2/x = 1/4
</span>(2/x) = (<span>1/4)
</span>4*(2/x) = <span>1
8/x = 1
8 = 1*x
x = 8
that is the solution</span>

8 0

4 years ago

Read 2 more answers

A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin

Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion $\hat p$ = 0.60