Answer:
See the attachment for the points and line of interest.
Step-by-step explanation:
A graphing calculator or graphing utility can show you the curve.
For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.
Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.
Answer:
47 cards remain
Step-by-step explanation:
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Answer: x=60
Step-by-step explanation:
x+22+x+6+x−28=180
Step 1: Simplify both sides of the equation.
x+22+x+6+x−28=180
x+22+x+6+x+−28=180
(x+x+x)+(22+6+−28)=180(Combine Like Terms) 22+6=28 and then 28-28=0
3x=180
3x=180
Step 2: Divide both sides by 3.
3x/3 = 180/3
x=60
hope this was helpful.
Answer:
a. The proportion of vehicle speeds were between 25 and 57 mph is 68.26%
b.The proportion of vehicle speeds exceeded 57 mph is 15.87%.
Step-by-step explanation:
a. To calculate what proportion of vehicle speeds were between 25 and 57 mph we would have to make the following calculations:
Probability that the vehicle speeds were between 25 and 57 mph is given by:
P(25≤x≤57)
=P(<u>25-41 </u>≤ <u>x-μ </u> ≤ <u>57-41)</u>
16 σ 16
=P(-1≤z≤1)
=P(z≤1)-P(z≤1)
=0.8413-0.1587
=0.6826
The proportion of vehicle speeds were between 25 and 57 mph is 68.26%
b. To calcuate what proportion of vehicle speeds exceeded 57 mph, we would have to make the following calculation:
Probability that vehicle speeds exceeded 57 mph is given by
P(x>57)
=P(<u>x-μ </u> > <u>57-41)</u>
σ 16
=P(z>1)
=1-P(z≤1)
=1-0.8413
=0.1587
The proportion of vehicle speeds exceeded 57 mph is 15.87%.
Answer:
(8-w)-10
so -w-2
if w is a variable... sorry this answer is just for reference
Step-by-step explanation:
