Option A. 150 m 3 is the correct one
Answer:
D.)
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Step-by-step explanation:
Answer:
y = (1/2)x - 3 Answer A is closest.
Step-by-step explanation:
Two points on the line are (0, -3) and (4, -1). Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier. The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.
Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2. Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.
The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):
y = (1/2)x - 3
Answer A should be y = (1/2)x - 3 for improved legibility. 1 2 x is not correct as a way to express (1/2)x.
She would by 3 packages of hot dogs and 2 packages of hot dog buns. This is because 3*8 would be 24 and 12*2 is also 24. These would both be the minimum amount of packages.
The value of given expression when m = 3 is 27
<h3><u>Solution:</u></h3>
Given expression is ![3m^2](https://tex.z-dn.net/?f=3m%5E2)
We have to evaluate the given expression for m = 3
To find for m is equal to 3, substitute m = 3 in given expression
From given expression,
![\rightarrow 3m^2](https://tex.z-dn.net/?f=%5Crightarrow%203m%5E2)
Plug in m = 3 in above expression
------ eqn 1
We know that,
can be expanded as,
![a^2=a \times a](https://tex.z-dn.net/?f=a%5E2%3Da%20%5Ctimes%20a)
Applying this in eqn 1, we get
![\rightarrow 3(3)^2=3 \times (3 \times 3)](https://tex.z-dn.net/?f=%5Crightarrow%203%283%29%5E2%3D3%20%5Ctimes%20%283%20%5Ctimes%203%29)
Simplify the above expression
![\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27](https://tex.z-dn.net/?f=%5Crightarrow%203%283%29%5E2%3D3%20%5Ctimes%20%283%20%5Ctimes%203%29%20%3D%203%20%5Ctimes%209%20%3D%2027)
Therefore, for m = 3 we get,
![\rightarrow 3(3)^2=27](https://tex.z-dn.net/?f=%5Crightarrow%203%283%29%5E2%3D27)
Thus value of given expression when m = 3 is found