60ft is the answer have a nice day
Answer:
B
Step-by-step explanation:
(f+g)(x) means add f(x) and g(x) together:
(x/2)-2 + 2x^2 +x -3
collect all the like terms:
2x^2
(x/2) + x = 3/2x (explanation below)
-2 -3 = -5
x/2 + x can be turned to 1x/2 + 2/2x (2/2 = 1, so when you simplify it to 1x, it is still x)
Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
<em>There is an important fact about the parallel lines: </em>
- Parallel lines have equal slopes
<em>The rule of the slope of a line is:</em>
, where
and
are two points on the line
<em>Let us use the fact and the rule to solve the question</em>
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AB // CD
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)
Answer:96
Step-by-step explanation:
A; 480/16 = 30 students per classroom
B: 192/12 =16 students per classroom
we need x such that 
which means
(480-x )* 12 should be equal to (192+x) * 16
5,760 - 12x = 3,072+16x
5,760 - 3,072 = 12x + 16x
2,688 = 28x
x = 96
The right answer is C
Let me to explain. From the graph we know that the vertex of this parabola is
. This is a<em> maximum y-value.</em> We also know that the parabola <em>opens downward, </em>so the leading coefficient is negative. Given that the function is even and the leading coefficient is negative, it follows that the graph falls to the left and right. In a mathematical language this is:
<em> </em>