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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Answer:x=18
Step-by-step explanation:2x-9=x+9
6x^2 - 2x + 1 is a quadratic formula from the form ax^2 + bx + c. This form of equation represents a parabola.
Finding 6x^2 - 2x + 1 = 0, means that you need to find the zeroes of the equation.
Δ = b^2 - 4ac
If Δ>0, the equation admits 2 zeroes and 6x^2 - 2x + 1 = 0 exists for 2 values of x.
If Δ<0, the equation doesn't admit any zero, and 6x^2 - 2x + 1 = 0 doesn't exist since the parabola doesn't intersect with the axe X'X
If Δ=0, the equation admits 1 zero, which means that the peak of the parabola is touching the axe X'X.
In 6x^2 - 2x + 1, a=6, b=-2, and c =1.
Δ= b^2 - 4ac
Δ=(-2)^2 - 4(6)(1)
Δ= 4 - 24
Δ= -20
Δ<0 so the parabola doesn't intersect with the Axe X'X, which means there's no solution for 6x^2 - 2x + 1 = 0.
I've added a picture of the parabola represented by this equation under the answer.
Hope this Helps! :)
Answer:
72 miles / gallon
Step-by-step explanation:
1080/15 = x/1
1080 / 15 = 72
72 miles on 1 gallon
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-Chetan K
The answer would be D) 98.8% because if the initial price is $25 per share, then Gavin would have spent $12,500. None of the other answers make sense since if it was just 3% or 82.3%, then it would be too much to equal $150 in return. If you were to put C, then the shares would equal $4.43 each, and If you bought 500 shares, then it would equal $2,212.5 which would be way more than $150. In the other hand, D is correct because then only 1 share would equal $0.3 and that multiplied by 500 equals precisely $150.
Hope this helps!