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lesya692 [45]
3 years ago
5

Graph the following inequality 6x-2y>8 Please help me and show me how to graph it.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

6x - 2y > 8

<u><em>First, solve the inequality (Isolate the y-variable & put it in function format):</em></u>

<u><em /></u>6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4

<u><em>Second, graph the function y = 3x - 4 on the graph.</em></u>

  • It should be linear.
  • Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.

<u><em>Third, shade in the area below the line(where y-values are smaller).</em></u>

  • Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.

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3(n+11)-5n=-2(n-12)+9
eduard
<span>Simplifying
3(n + 11) + -5n = -2(n + -12) + 9
Reorder the terms:
3(11 + n) + -5n = -2(n + -12) + 9
(11 * 3 + n * 3) + -5n = -2(n + -12) + 9
(33 + 3n) + -5n = -2(n + -12) + 9
Combine like terms: 3n + -5n = -2n
33 + -2n = -2(n + -12) + 9
Reorder the terms:
33 + -2n = -2(-12 + n) + 9
33 + -2n = (-12 * -2 + n * -2) + 9
33 + -2n = (24 + -2n) + 9
Reorder the terms:
33 + -2n = 24 + 9 + -2n
Combine like terms: 24 + 9 = 33
33 + -2n = 33 + -2n
Add '-33' to each side of the equation.
33 + -33 + -2n = 33 + -33 + -2nCombine like terms: 33 + -33 = 0
0 + -2n = 33 + -33 + -2n
-2n = 33 + -33 + -2n
Combine like terms: 33 + -33 = 0
-2n = 0 + -2n
-2n = -2n
Add '2n' to each side of the equation.
-2n + 2n = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = 0
Solving
0 = 0
<span>Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.</span></span>
4 0
3 years ago
Which of the following is not a possible value for a probability?
yan [13]
C, 11/10 is not a possible value for probability, as it is not an actual situation one could be in. For example, if you can get a maximum of ten questions correct on your quiz, and you get eleven correct, that would no make much sense in the real world, unless if you consider extra credit an "extra question."
4 0
3 years ago
Read 2 more answers
What is the value of the expression when a = 4 and b = 3?
IRISSAK [1]
The answer to your question is b
6 0
3 years ago
Read 2 more answers
A house was valued at $120,000 in the year 1992. The value appreciated to $160,000 by the year 2007.
pochemuha

Answer:

A) 0.0194

B) 1.94%

C) $ 170,000

Step-by-step explanation:

Value of house in 1992 = P = $ 120,000

Value of house in 2007 = S = $ 160,000

Time difference from 1992 to 2007 = 15 years

Part A)

The formula of compound interest is:

S=P(1+r)^{t}

P is the original amount i.e. $ 120,000

t is the time in years which is 15 years

S is the amount after t years which is $ 160,000

r is the annual growth rate

Using the values, we get:

160000=120000(1+r)^{15}\\\\\frac{160000}{120000}=(1+r)^{15}\\\\ \frac{4}{3}=(1+r)^{15}\\\\(\frac{4}{3} )^{\frac{1}{15}}=1+r\\\\ r=(\frac{4}{3} )^{\frac{1}{15}}-1\\\\ r=0.0194

Thus, the annual growth rate is 0.0194

Part B)

In order to convert a decimal to percentage, simply multiply the decimal by 100.

So, 0.0194 in percentage would be 1.94%

Part C)

We have to find the value of house in 2010 i.e. after 18 years. So t =18

Using the values in the formula, we get:

S=120000(1+0.0194)^{18}\\\\ S=169584

Rounded to nearest thousand dollars, the value of the house would be $ 170,000

7 0
3 years ago
Tell whether the sequence is geometric 31, 213, 4459, 637, 91,....​
Lubov Fominskaja [6]

Answer:

No.

Step-by-step explanation:

If it is geometric  the quotient of the terms and the previous term will be a constant.

213 / 31 = 6.871

4459 / 213= 20.93

These are not equal so the sequence is not geometric.

4 0
3 years ago
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