Hi there,
5x3 + 2y3 = 5 (multiply the numbers)
Y = 15
Hope this helps :)
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
Answer:
The +1 in f(x) is the y intercept
The +1 in g(x) is the y coordinate of the vertex
Step-by-step explanation:
For f(x), plugging in x = 0 leads to
f(x) = 2x^2+5x+1
f(0) = 2(0)^2+5(0)+1
f(0) = 1
Showing that (0,1) is the y intercept of f(x).
The same is not true for g(x)
g(x) = 2(x+5)^2+1
g(0) = 2(0+5)^2+1
g(0) = 51
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The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is
y = a(x-h)^2+k
with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.
To solve this problem, we use the t statistic. The formula
for z score is:
z = (x – u) / s
where x is the sample value = 15.5 seconds or below, u is
the sample mean = 14.62 seconds, s is standard dev = 2.13 seconds
z = (15.5 – 14.62) / 2.13
z = 0.41
Using standard distribution tables at z = 0.41, the value
of P is:
P = 0.6591 = 65.91%
<span>Hence there is a 65.91% chance the runner will have less
than 15.5 seconds of time</span>
<span>
</span>
<span>answer:</span>
<span>c. 0.6591</span>
First, solve 7 times square root of 5.
7 x 2.236 = 15.652
Now find the solution above that results in 15.65.
We can quickly eliminate the top 2 as they will result in very large numbers.
The bottom problem is quick to check - simplifies to (7 + 5)/5 = 2.4. No
It looks like the next to last answer is our best bet.
Figure the square root of 196 (14) and multiply by square root of 5 (2.236). Giving us 31.304.
Divide the result by 2. And that gives us 15.652.
If you knew the square root of 196 was 14, it was helpful to find this quickly because 14/2 = 7 and then the other square root was the 5 from the problem.