Couple things to note:
- Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
- Slope can be calculated using any two points on a line and the formula y₁ - y₂ / x₁ - x₂.
For the first problem, we know the slope of Function A is 6 (refer to slope-intercept form above). To compare the slopes of Function A and Function B, first find the slope of Function B.
Use y₁ - y₂ / x₁ - x₂. Two points on the line are (0, 1) and (-1, -2). Plug these into the formula accordingly and solve for slope.
y₁ - y₂ / x₁ - x₂
1 - (-2) / 0 - (-1)
1 + 2 / 0 + 1
3 / 1
3
The slope of Function B is 3. This is half of 6 (the slope of Function A), so the correct answer to question 1 is the first option: Slope of Function B = 2 × Slope of Function A.
For the second problem, substitute m and b in y = mx + b according to the graph. b is the y-intercept (the point at which the line intersects the y-axis); it is (0, -4), or -4. This gives us
y = mx - 4
We must now find m. Follow the same steps above to find slope. Our two points are (-2, 0) and (0, -4).
y₁ - y₂ / x₁ - x₂
0 - (-4) / -2 - 0
0 + 4 / -2
4 / -2
-2
Substitute.
y = -2x - 4
The first option is the correct answer.
Assuming I understand what you're saying, if there are 2 boxes in a crate and 18 bags in a box, the answer would be 12 * 36 = 432
Answer: 11,440 ft change in altitude
Step-by-step explanation: To do this equation, you first need to find a positive number that is high enough to reach positive 11,100. Because we are not starting at zero on the number line and are instead starting at negative 340, the number will be a little higher than 11,100. The simplest way to find the answer is by changing negative 340 to a positive value and adding it to positive 11,100. This should equal 11,440 To prove this, grab a calculator and add 11,440 to negative 340. To make 340 a negative integer, type in that number and then click the button that looks like this, +/_ Once you have added 11,440 to negative 340, the sum of the two integers should pop up as 11,100 on your calculator. The final and correct answer is equivalent to a 11,440-foot change in altitude.
Please comment below if this helped!
Assuming that the ratios stay the same, the answer is going to be 6 because the total number of nuts drawn originally was 48, and 9 were cashews. To maintain this ratio when 32 nuts were drawn, the number of cashews will be 6.
Answer:
try 36?
Step-by-step explanation:
