Answer:
Step-by-step explanation:
If you want to compare the 2 slopes, you first have to know what they are. From the table we can find it by plugging in some numbers to the slope formula and doing the math on it:

which gives us a slope of 5.
From the equation, which is in y = mx + b form, m stands for slope. The number in the m position is 2. In a sentence:
The slope found in the values from the table, 5, is greater than the slope found in the linear equation, 2.
Part B: The y-intercept exists where x = 0. Looking at the values in the table, where x = 0, y = -10. So the y-intercept of the line in the table is -10. In y = mx + b, the linear equation, 8 = b, which is also the y-intercept. So the y-intercept in the table is -10 and the y-intercept in the equation is 8. The y-intercept is greater in the equation than in the table because 8 is greater than -10
Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
Answer:
-15x + 30
Step-by-step explanation:
Using the distributive property, distribute -3 to the parentheses:
-3(5x) = -15x
-3(-10) = 30
Add these terms together:
-15x + 30 is the rewritten expression