There are 25+17=42 white/blue cards, and 21+9=30 silver/red cars. Then, we have a difference of 42-30=12 cars.
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
Answer:
y ≥ 2
Step-by-step explanation:
The range is all of the values that f(x) can have. In order to find the range, let's first find the vertex. That's pretty easy to do since f(x) is already written in vertex notation (vertex notation is f(x) = a(x - c)² + d where (c, d) is the vertex). Since c = -5 and d = 2, the vertex is (-5, 2). Because the value of a is positive (a = 3 in this case, which is positive) we know that the parabola opens upward, therefore the vertex is the minimum. This means that the y-coordinate of the vertex is the smallest possible y-value of the function, therefore, since the y-coordinate of the vertex is 2, the range is y ≥ 2. Note that we use ≥ and not >, this is because y can be 2, therefore, it is included in the solution set.
Note: CAS stands for "Computer Algebra System"
The fact that
![x - \frac{41}{x+4} + 8](https://tex.z-dn.net/?f=x%20-%20%5Cfrac%7B41%7D%7Bx%2B4%7D%20%2B%208)
is the result that the CAS produces indicates we're pretty much at the answer. All we have to do is rearrange terms to go from
![x - \frac{41}{x+4} + 8](https://tex.z-dn.net/?f=x%20-%20%5Cfrac%7B41%7D%7Bx%2B4%7D%20%2B%208)
to
![x+8 - \frac{41}{x+4}](https://tex.z-dn.net/?f=x%2B8%20-%20%5Cfrac%7B41%7D%7Bx%2B4%7D)
The "x+8" portion is the quotient while the remaining stuff is the remainder (specifically -41 is the remainder)
So
the answer is choice A) -41
The slope of the line is ![-\frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D)
First, you must find 2 points.
(-6,8) (-2,5)
Then, you must substitute the value of the points in.
![\frac{5-8 }{-2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B5-8%20%7D%7B-2%2B6%7D)
Finally, simplify the fraction.
![-\frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D)