Triangle: 13.3 km Why: the formula is 1/2 base x height.
Square: 57.4 Why: 7x8.2 which equals 57.4
Answer:
That is, you'd expect of the rolls to be 1, of the rolls to be 2, of the rolls to be 3, and so on.
Step-by-step explanation:
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximately:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
You have defined x to be the smaller of two consecutive integers. Then the larger will be (x+1). The given relation is
... (x) + 3(x+1) = -5 . . . . the smaller plus 3 times the larger is -5
... 4x + 3 = -5 . . . . . . . .simplify
... 4x = -8 . . . . . . . . . . subtract 3
... x = -2 . . . . . . . . . . . divide by the coefficient of x
The smaller of the two integers is -2.
There are 5 options. Let's figure out which ones are wrong, and why:
<span>y + y + y = y(1 + 1 + 1)
This one is correct, because of the distributive property. Another equivalent is 3y.
2a + 2b = 4ab
This one is incorrect, as you are not multiplying the numbers.
3 · (2 + x) = 6 + 3x
This one is correct, because of the distributive property
2t + 3t = 5t
This is correct, as you can add variables together as long as all the variables are the same
x + 3 = 4x
This is not correct, as 4x is 4 x's.
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