X = Sales Tax Rate
350 * X = 22.75
22.75 / 350 = 0.065
0.065 = 6.5%
Answer:
Step-by-step explanation:
y = mx + b
in this form, the constant of proportionality is also known as the slope....and it can be found in the m position
y = 3x.....is actually y = 3x + 0....so the slope (constant of proportionality is gonna be 3
Answer:
Corroponding side lengths are equal
Step-by-step explanation:
Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.
Hope this helps :)
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.
Answer:
216
Step-by-step explanation:
