He would need to play 12 average scoring games.
900 (goal) - 300 (has) = 600
and 600/50 is 12
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:
6
x
^2
−
5
x
y
−
4
y
^2
Step-by-step explanation:
Expand
(
2
x
+
y
)
(3
x
−
4
y
)
using the FOIL Method.
Apply the distributive property.
2
x
(
3
x
−
4
y
)
+
y
(
3
x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)+
2
x
(−
4
y
)
+
y
(
3x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)
+
2
x(
−
4
y
)
+
y
(
3
x)
+
y
(
−4
y
)
Simplify and combine like terms.
6
x
^2
−
5
x
y
−
4^
2
For number 13 x=70 and y=115 hope this helped
F + V = E + 2
F = 25
V = 17
25 + 17 = E + 2
42 = E + 2
42 - 2 = E
40 = E <== there are 40 edges
