Answer:
C: 2m + 1
Step-by-step explanation:
If m + 1 is even, then m is odd.
A: m - 1 is even
B: 2m - 2 is even
C: 2m + 1 is odd
D: 2m + 2 is even
1). The inequality says "height is 54 or more".
Any height that is less than 54 does NOT qualify.
2). The sign says "Maximum total weight 800 pounds".
Any weight that's 800 pounds or less is OK.
3). Paula has scored 21, 25, and 15 points.
. . . . . they're NOT all greater than 21
. . . . . they ARE all 25 or less
. . . . . they ARE all less than 30
. . . . . they ARE all 10 or more .
4). First, write down the number of cans that
each student collected, but arrange them in order.
Then check each choice.
A). misses the highest 3 students completely
B). includes everybody
C). misses the lowest 3 students completely
D). OK, but the first and last intervals aren't needed,
because nobody's cans are in those intervals
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Answer:
second person
Step-by-step explanation:
Answer:
D. g(x) = 3·x²
Step-by-step explanation:
The given parent function, f(x) = x²
The graph of the function, g(x) is narrower than the graph of the function f(x)
Therefore, the coefficient of the quadratic function is larger than 1
The given point on the parabola, g(x) = (1, 3)
Therefore. when x = 1, g(x) = 3
However, when x = 1, f(x) = 1
Therefore, given that g(x) = a·f(x), we get;
a = g(x)/(f(x)) = 3/1 = 3
g(x) = 3·x²
