150 is smaller than 200 so 25 is smaller than 40, but 25, in perspective to the numbers, is much smaller than 40. Ana is faster.
Check:
Takashi: 200 divided by 400 equals 5 yd/sec
Ana: 150 divided by 25 equals 6 yd/sec
Answer:
Step-by-step explanation:
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
Answer: 30
Step-by-step explanation:
Because you can break the pentagonal base into triangles and the formula to find the area of a triangle is 1/2 Bh so 840/14 = 60 divided by 1/2 = 30
Answer:
x = 7
If a is parallel to b, then 9(7) + 11 = 74.
Step-by-step explanation:
We don't know if the lines are parallel, so we need to see what x is in 9x + 11 = 74, then substitute that value for x in the equation. If both sides are true, the two lines are parallel.
9x + 11 = 74
<em>Step 1: Subtract 11 from both sides.</em>
9x = 63
<em>Step 2: Divide both sides by 9.</em>
x = 7
<em>To make sure, let's substitute 7 for x in the earlier equation.</em>
9(7) + 11 = 74
<em>Step 3: Multiply 9 by 7 to get 63.</em>
63 + 11 = 74
<em>Step 4: Add 11 to 63 to get 74.</em>
74 = 74
The two sides are equal, so a and b are parallel. The definition of a converse is the reverse of a conditional statement. As a result, the converse here is "If a is parallel to b, then 9(7) + 11 = 74."
