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Answer:
(a) M = 0.25n +100
Step-by-step explanation:
The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).
The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...
slope = rise/run = 25/100 kg/CD = 0.25
Then the equation describing the points on the graph will be ...
M = 0.25n +100
Answer:
See explanation
Step-by-step explanation:
Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let
- statement p be "A figure is cube.";
- statement q be "A figure has 8 vertices."
Then the statement "If a figure is a cube, then it has eight vertices" can be written as

Converse (
): If a figure has eight vertices, then it is a cube.
Inverse (
): If a figure is not a cube, then it has not eight vertices.
Contrapositive (
): If a figure has not eight vertices, then it is not a cube.
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.
Answer:
A) x = 6
Step-by-step explanation:
4x - 2x + 6 = x + 12
Combine like terms
2x +6 = x+12
Subtract 6 from each side
2x+6-6 = x+12-6
2x = x+6
subtract x
2x-x = x+6-x
x = 6
Answer
y = 
Step-by-step explanation:
-10 + 2y = 7
Add 10 to both sides of the equation
2y = 7 + 10
Add 7 and 10
2y = 17
divide each term in 2y=17 by 2

Divide y by 7
y = 
<u>Hope this helps </u>