The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
<h3>How to solve inequality?</h3>
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
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(L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters. This can be obtained by forming quadratic equation for the data.
<h3>Calculate the set of possible dimensions (length and width) of the field:</h3>
Let length be L and width be W.
Given that,
three sided fence has a length of 57m,
⇒ 2W + L = 57 m ⇒ L = 57 - 2W
the area of the land is 340 square meters
length × width = 340 ⇒ L × W = 340
(57 - 2W)W = 340
57W - 2W² = 340
2W² - 57W + 340 = 0
Solve for W using quadratic formula,
a = 2, b = -57, c = 340
W = (-b±√b²-4ac)/2a
= (57±√3249-2720)/4
= (57±√529)/4
= (57±23)/4
W = 20 m and W = 8.5 m
For W=20, L=57-2(20) = 17
For W=8.5, L=57-2(8.5) = 40
Hence (L=17m and W=20m) and (L=40m and W=8.5m) are the possible dimensions (length and width) of the field given that the three sided fence has a length of 57m the area of the land is 340 square meters.
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Answer:
J
Step-by-step explanation:
a1=8 (as given)
a2=a1+3=8+3=11
a3=a2+3=11+3=14
a4=a3+3=14+3=17
City A was the warmest and City B was the coldest.
