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Answer: f(x) = (-1/2)x+1, choice B</h3>
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Explanation:
The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).
Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope
slope = rise/run = -1/2
rise = -1, run = 2
The rise being negative means we have gone downhill as we move to the right.
With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1
The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.
The coordinates are (6,-9) (-12,-3) (0,-7)
you put 6 in the place of x to get 6+3y=-21 then you must take 6 away from each side to get 3y= -27 then divide each side by 3 so -27 divided by 3 is -9. do this for all of them! hope it helped!
Answer:
The period of the graph of the traffic flow at 1st Ave and High St is half as long as the period of the graph of the traffic flow at 2nd Ave and Central.
Step-by-step explanation:
Your father will require 14.6 cups of sugar for the larger group
<h3>Ratio and proportions</h3>
From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;
6 people = 2.5 cups of sugar
In order to calculate for 35 people, we will have;
35 people = x
Taking the ratio of the expressions
6/35 = 2.5/x
6x = 87.5
x = 87.5/6
x = 14.6
Hence your father will require 14.6 cups of sugar for the larger group
Learn more on ratio and proportions here: brainly.com/question/19994681
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
