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Firlakuza [10]
3 years ago
6

Answer the linear inequality

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0
Substitute x-values into x.
e.g. y>-3.5x + 2
let x be 1...
thus, y>-3.5(1) + 2
y> -1.5 or y<1.5
another e.g. let x be 2.
y> -3.5(2) + 2
y> -4.4 or y<4.4
And so forth. pluck in these coordinates into you graph and sketch a line through the points.
NOTE: < in my explanation is equivalent to less than or equal to. same goes to >… greater than or equal to.

I hope you followed through. Good luck!

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What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
  • x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

...6(x -3)(x^2 -3) = 0

... x = 3, x = ±√3

_____

Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

... (1/2)(x^2 -3)/(x -3) = 0

Here, the solution will be values of x that make the numerator zero:

... x = ±√3

_____

So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

_____

<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

7 0
3 years ago
Read 2 more answers
The first term of a geometric sequence is 7, and the ratio (multiplier) is 3. what is the sum of the first 5 terms of the sequen
Anni [7]
Hello,

1)
a_{1}=7
a_{2}=7*3
a_{3}=7*3^2

a_{n}=7*3^{n-1}

s=a_{1}+a_{2}+a_{3}+a_{4}+a_{5}=7*(1+3^1+3^2+3^3+3^4)
=7*\frac{3^{5}-1}{3-1}
=7*242/2=847

2)
b_{8}=6*8^{8-1}=12582912




















4 0
3 years ago
The highest elevation of basket dome 40 years ago was measured at 7,600 feet. what is the rate of change in elevation for this a
svet-max [94.6K]

Answer:

Rate of change in elevation  = 0.6 in/year

Step-by-step explanation:

Note:

Current elevation (Missing) = 7,602 feet

Given:

Old elevation = 7,602 feet

Number of year = 7,600

Find:

Rate of change in elevation

Computation:

Change in elevation = 7,602 - 7,600

Change in elevation = 2 ft

Change in elevation = 2 x 12 = 24 inches

Rate of change in elevation  = 24 / 40

Rate of change in elevation  = 0.6 in/year

5 0
3 years ago
HOW MANY nibbles ARE IN ONE kilobyte?
Vilka [71]

Answer:

There are 2000 nibbles in 1 kilobyte

Step-by-step explanation:

4 0
2 years ago
Please help ill give you points
UkoKoshka [18]
Yes, it is a function
4 0
3 years ago
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