Find the x and y intercept for f(x)=x^2-3x-40
1 answer:
To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>You might be interested in
Answer:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Step-by-step explanation:
Assuming the following options:
a)np and nq must be respectively at least equal to 10
b) as n increases, the distribution of sample proportions becomes less Normal
c) np and nq must be respectively less than 10
d) np plus nq must be at least 10.
For this case we need 3 basic conditions:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Answer:
The angle is 50.2°.
Step-by-step explanation:
The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.
Therefore the angle θ formed by the sun's rays and the ground is:
