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Sever21 [200]
1 year ago
9

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics
1 answer:
saveliy_v [14]1 year ago
5 0

Answer:

  a7 ≈ 1.068

Step-by-step explanation:

The given sequence has a common ratio, so is a geometric sequence. The formula for a generic term can be used to find the 7th term.

<h3>Sequence</h3>

The first term is 6. The common ratio is ...

  r = (9/2)/6 = (27/8)/(9/2) = 3/4

The n-th term is ...

  an = a1(r^(n-1))

<h3>Application</h3>

The 7th term is ...

  a7 = 6(3/4)^(7-1) = 6(729/4096) = 2187/2048

  a7 ≈ 1.068

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2 (01.05)
lord [1]

Answer:

  y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

3 0
3 years ago
Use the rules of negative numbers to calculate -6 + -6 - -2
yaroslaw [1]
-6+ -6- -2
Adding a negative is the same as subtracting a positive.
-6 - 6 - -2
Subtracting a negative is the same as adding a positive.
-6 - 6 + 2
Subtracting a number from a negative number is like adding the positive numbers, just remember to put the negative sign in front of the number.
-12 + 2
Adding a positive number to a negative number is like subtracting a positive from another positive, but don't forget the negative sign when you're done.
-12 +2 = -10

4 0
3 years ago
Read 2 more answers
F(x) = 5x^3+ 2x^2 - 90x - 36. <br><br> finding all zeros by factoring and explaining the steps
ella [17]

Answer:

f(x)=5x^3-2x^2-90x-36=0

=x^2(5x-2)-18(5x-2)=(x^2-18)(5x-2)=0

x^2-18=0/5x-2=0

x^2=18=x=9√2

5x-2=0

x=2/5

zeros are 9√2,2/5

8 0
3 years ago
How many solutions does the system of equations below have?<br><br> y= 3x + 4<br> 2y -8 = 6x
Cerrena [4.2K]

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

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

2y = 6x + 8

\frac{2y}{2} = \frac{6x}{2} + \frac{8}{2}

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

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

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2 years ago
PLSSS HELPPP no linkss plsss im begging
love history [14]

Answer:

Step-by-step explanation:

7 0
2 years ago
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