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elixir [45]
3 years ago
11

Which statements are true? Mark all that apply.

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

A and D

Step-by-step explanation:

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PLEASE!!!!! HELP ME!!!!!!
kati45 [8]

Answer:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

Step-by-step explanation:

the general formula for a geometric sequence is given by:

a_n = a_1 r^{n-1}

For this case we know that a_5 = 15, a_6 = 1

Then we have the following conditions:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

4 0
3 years ago
For each mile Jason runs Megan runes 1/4 mile farther if Jason ran 6 miles how far did Magen run ?
fenix001 [56]
Let, Jason = J and M = Megan

M = J(1 + 1/4) 

So putting 6 where J is and solving:
<em>M = 6(1 + 1/4)
</em><em>M= 7.5</em>

When Jason runs 6 miles Megan runs 7.5
<span />
4 0
3 years ago
Read 2 more answers
−3−(−5)<br><br> PLease Help me
TiliK225 [7]

Answer:

2

Step-by-step explanation:

Simplify the expression.

5 0
3 years ago
Read 2 more answers
Use substitution to solve the system<br><br> 2y - 8 = x<br><br> 2x + 3y = -2
devlian [24]

Answer:

x=2y-8

We use the substitution of x in the second equation

2*(2y-8)+3y= -2

4y-16+3y=-2

7y-16= -2

7y= -2 +16

7y=14

y=14Ș7

y=2

so x= 2*2 -8

    x=4-8

    x=-4

the solution is  (x,y)=(-4, 2)

Step-by-step explanation:

7 0
3 years ago
Solving system by substitution <br> Y=3x<br> Y=x+4
velikii [3]

So we're given Y = 3x.

We now can replace Y, for 3x in the equation:

Y = x + 4

3x = x + 4

3x - x = 4

2x = 4

x = 2

5 0
3 years ago
Read 2 more answers
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