<span>y = 2x + 20. The answer is A. Explanation: Vlad spends a known amount of time on his history homework (20). On top of it, he also spends an unknown amount of time on solving a number of math problems (x). Each problem takes two minutes to solve, so the amount of time that he spends solving math problems is 2*x or 2x. In total (y), Vlad spends 20 + 2x amount of time on his homework. So y = 2x + 20, where y is clearly greater or equal to 20 and x is greater or equal to 0.</span>
Answer: y = 6x +10.
After 7 weeks there will not be any coconut on the tree.
Step-by-step explanation: Given initial number of coconuts under the tree = 10 coconuts.
The rate of falling of coconuts each week = 6 coconuts per week.
Let us assume number of weeks be x and y be total number of coconuts after x weeks.
So, total number of coconuts after x weeks would be = Rate of falling of coconuts × number of weeks + Initial number of coconuts.
Therefore,
y = 6x +10.
a) y = 6x +10
Let us graph the linear equation with y-intercept 10 and slope rise/run = 6/1.
b) Total number of coconuts after x weeks = 52.
Plugging y=52 in above equation, we get
52 = 6x+10.
Subtracting 10 from both sides, we get
52-10 = 6x=10-10
42 = 6x.
Dividing both sides by 6, we get
42/6 = 6x/6
7 = x.
Therefore, after 7 weeks there will not be any coconut on the tree.
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Answer: BC = 5.83
Step-by-step explanation:
Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:
AB = 5
AC = 3
BC = ?
To find BC, we can simply use the Pythagorean Theorem:

5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
Now square root to find c, or BC.

c = 5.83 (rounded by nearest hundredth)
Answer:
x = 12
Step-by-step explanation:
Subtract 3 from both sides
p.s. it would be 18 if it was x-3 = 15