Answer:
Option B (1,10)
Step-by-step explanation:
we have

we know that
If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)
<u><em>Verify each case</em></u>
case A) (0,0)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case B) (1,10)
For x=1
Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is on the graph of f(x)
case C) (0,10)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case D) (10,1)
For x=10

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
1) 10/6 = H/ 4 or 5/3 = H/2 or H = 10/3 = 3.3 m
<span>2) sin P = 3/5 (given) = sin (90-Q) = cos Q = 3/5</span>
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
<em>29 minutes more</em>
Step-by-step explanation:
Let m represent minutes
changing the statement to algebra, since the second company charges a different rate at night and weekend we have the equation below;
$19.99 + $0.35m > $29.99
Subtract 19.99 from both sides to isolate m and we have;
$19.99 -$19.99 + $0.35 > $29.99 - $19.99
= $0,35m > $10.00
Divide both side by 0.35 to obtain the value of m;
> 
= m > 28.57
<em>m ⩾ 29 minutes</em>
<em>The second company's will be twenty nine minutes or more costlier than the first company</em>