<h3>
Answer:</h3>
1. Yes, the x-intercept is 3 1/2
2. Yes, the y-intercept is -7
3. No, the slope is 2
<h3>
Explanation:</h3>
6x -3y = 21
-3y = -6x + 21
y = 2x - 7
Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y =
← equation of variation
When y = 15 then
15 =
( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for
we must solve the equation
. Substracting 21100 from both sides, this equation is equivalent to
.
Using the quadratic formula, the solutions are
and
. The solution
can be neglected as the time t is a nonnegative number, therefore
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.
F = ma
the question said, F and M both are doubled ,so,
2F =2ma
but you can see the result is same !!
so acceleration doesn't change !! so final acceleration is also 2.2 !!