Answer:
1) x-intercept: (2,0)
y-intercept: (0,3)
2) x-intercept: (4,0)
y-intercept: (0,−6)
3) x-intercept: (0.75,0)
y-intercept: (0,−0.6)
4) x-intercept: (15/2,0)
y-intercept: (0,−5)
Step-by-step explanation:
Graph the equations and look at where the lines cross the axises.
i hope this helps you !!
Answer:
about 17 meters
Step-by-step explanation:
We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.
The Pythagorean theorem relates these distances this way:
b^2 + d^2 = (d+e)^2
Expanding the square on the right, we can simplify the expression to find b.
b^2 = (d^2 +2de +e^2) -d^2
b^2 = e(2d +e)
b = √(e(2d +e))
Using lengths in meters, we can fill this in to calculate b.
b = √(.06(2·2500 +.06)) = √300.0036
b ≈ 17.32 . . . . meters
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<em>Comment on this solution</em>
We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.
The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.
If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.
Answer:
Step-by-step explanation:
If you want to factor
, you could throw that into the quadratic formula with a = 1, b = 11 and c = 0, but the easier thing to do is to factor out what's common in those 2 terms. m is common, so when we factor it out:
That's the factored form.
By the Zero Product Property, either
m = 0 or m + 11 = 0.
So the 2 solutions to this are
m = 0 or m = -11
Not sure how far you need to go with this.
What do you need to know? give me an equation and i'll help you solve it
Answer:
17285 female doctors
Step-by-step explanation:
We need 31.2% of 55,400 doctors to do this we multiply 31.2% by 55,400
0.312 is 31.2% as a decimal
so we do...
0.312 * 55,400 = number of female doctors
if type that into a calculator you get 17284.8
17.284 rounds to 17285
so the answer is...
17285 female doctors