The graph shows us that the slope of f(x) is -2. Now we gotta find the slope of g(x) to compare it to that of f(x). The equation of g(x) is in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept), so the slope is given to us for that one as well: it's -6. A line with a slope of -6 will be steeper than a line with a slope of -3, therefore the answer is B - the slope of f(x) is less than the slope of g(x).
Hope this helps.
Answer:
165 ft^2
Step-by-step explanation:
We need to break the figure into 2 parts
We have the square at the bottom right
The square is 5 by 5
A = 5*5 = 25
The rectangle is then 20 by (12-5) =7
The area of the rectangle is
A = 20 *7 = 140
Add the areas together
140+ 25
165 ft^2
Let x = Horseback riding and y = Parasailing
Eq. 1
3x + 2y = 192
Eq. 2
2x + 3y = 213
By elimination:
<span> 2(3x +
2y = 192)</span>
+ -3(2x + 3y =
213)
<span> -5y = - 255</span>
y = $ 51
Substitute y :
3x + 2y = 192
3x + 2(51) = 192
<span>x = $ 30
</span>
<span>Hope this
answer will be a good help for you.</span>
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Find the Distance Between Two Points
Use the distance formula to determine the distance between two points.
Exact Form:
√85
Decimal Form:
9.21954445
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