Answer:
There are 25 reindeers and 17 snowbirds
Step-by-step explanation:
A reindeer has 4 legs while a snowbird has two legs
Let the number of reindeer be x while the number of snowbirds is y
Total heads is 42;
x + y = 42 •••••••(i)
let’s now count the legs
4(x) + 2(y) = 134
4x + 2y = 134 ••••••(ii)
divide ii by 2
2x + y = 67
y = 67 - 2x
and from i above too, y = 42-x
equate the y
67-2x = 42-x
67-42 = -x + 2x
x = 25
y = 42-x
y = 42-25
y = 17
It would be an enlargement, because 5/2=2.5 which is greater than 1. Hope this helps!
Answer:
Step-by-step explanation:
f(x)=(x-(-4))(x-3)(x-8)
f(x)= (x+4)(x-3)(x-8)
Answer: it’s the first one.
Step-by-step explanation:
In graphs of linear relationships, you can always determine a proportional linear relationship by observing where the line crosses the y axis. If the line crosses through the origin, then the relationship is proportional. This means that the independent data(in this case time) can be multiplied by a constant factor to always get it's related dependent piece of data.
From the graph you might notice some data points for Gary: At 2mins he completes 1.5 knots or the ordered pair (2, 1.5). We see another data point at 4mins he completes 3 knots or the ordered pair (4,3). How about the ordered pair (6, 4.5)? Notice that if I multiply the "x" coordinate of all these ordered pairs by 0.75, I get the "y" coordinate. Or maybe another way to look at it, the "y" coordinate of each point on the line divided its corresponding "x" coordinate will always produce the same number, 0.75. This number, 0.75, is called the constant of proportionality.
So, the answer to this problem is choice "D"
Summary: To identify proportional linear relationship from a graph, look for the line that goes through the origin. To find the constant of proportionality, determine the coordinates of a convenient point on the line and divide the y coordinate by the x .
