from second equation y = 18-x so:-
x(18 - x) = 30
x^2 - 18x + 30 = 0
x = 16.14, 1.86
when x = 16.14 y = 18-16.14 = 1.86
when x = 1.86, y = 16.14
so one variable = 16.14 and the other = 1.86 Answer
First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
Answer:
40/m
Step-by-step explanation:
I dont really know what I'm answering but there's that
Answer:
Step-by-step explanation:
The equation for that is
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:
The factor (x + 10) is common, so we will now factor that out:
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
