All value less than -6 make that inequality true
The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.
<h3>What are inequalities and their types?</h3>
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given inequality is y ≤ -5(x - 18) - 2.
Now the values of x when y = 43 is,
43 ≤ - 5(x - 18) - 2.
43 ≤ - 5x + 90 - 2.
43 - 88 ≤ - 5x.
- 45 ≤ - 5x.
5x ≤ 45.
x ≤ 9.
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Use slope formula to find slope
<span><span><span>−9−5</span><span>−/12−8</span></span>=<span><span>−14/</span><span>−20</span></span>=<span>7/10</span></span>
7/10 = m = slope
y= mx + b
y= (7/10)x + b
(8,5)
(5) = (7/10)(8) + b
b = -3/5
So....
<span>y=(<span>7/10)</span>x −<span>35
</span></span>
multiply by 10
<span>10y=7x−6</span><span>
--> -7x + 10y = -6
--> 7x - 10y = 6
So, if 7x - 10y = 3 a good model?</span>
Fraction -> Decimal
4/5 = 0.8
1/8 = 0.125
Decimal -> Percent
0.22 * 100% = 22%
0.47 * 100% = 47%
Percent -> Fraction
34% / 100 = 0.34 = 17/50
25% / 100 = 0.25 = 1/4
Fraction -> Percent
1/3 = 0.33... * 100% = 33.3%
2/5 = 0.4 * 100% = 40%
Decimal -> Fraction
0.65 = 65/100 = 13/20
0.4 = 4/10 = 2/5
Percent -> Decimal
81% / 100 = 0.81
4% / 100 = 0.04
Best of Luck!
It would be 60 degrees because compliment means 90 degrees. In order to find m<CBD, you would need to subtract 30 degrees from 90 degrees which would equal 60 degrees. 90-30=60