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nikdorinn [45]
2 years ago
5

What is the y-intercept of the line? 1 -2 1/2 0

Mathematics
2 answers:
Natasha2012 [34]2 years ago
5 0
Answer: 1

The y inter is the line going vertically
So just find where the line meets the graph
Nastasia [14]2 years ago
3 0

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

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Multiply: 10x(x – 17)
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10x^2-170x is the answer I think you're looking for
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What is the inverse of the function g(x) = x^3/8 + 16 ?
lesya692 [45]

Answer:

\hookrightarrow \: { \rm{f(x) =  \frac{ {x}^{3} }{8}  + 16}} \\

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \rm{8m =  {x}^{3}  + 128}} \\  \\ { \rm{ {x}^{3} = 8m - 128 }} \\  \\ { \rm{ {x}^{3} = 8(m - 16) }} \\  \\ { \rm{x =  \sqrt[3]{8}  \times  \sqrt[3]{(m - 16)} }} \\  \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}

• therefore:

{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\

6 0
3 years ago
Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
  • a(n) = 6×(-4)^(n -1)

You can see that these formulas are exponential in nature.

__

<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

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Solve for x in the equation x^2+14x+17=-96
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X²+14x+49+17=-96+49
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