Answer:
7
Step-by-step explanation:
They only have to 2 factors for example: 2,3,5,7,11
The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
Answer:
x = 8, y = 6
Step-by-step explanation:
2x + 5y = 46______(1)
3x - 2y = 12_______(2)
(1) x 3 --> 6x + 15y = 138
(2) x 2 --> 6x -4y = 24
(1) - (2) --> 19y = 114
y = 6 sub into (2)
3x - (2 x 6) = 12
3x = 24
x = 8
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So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.