Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
Therefore, would be the correct statement.
Answer:
See below ~
Step-by-step explanation:
<u>Solving for x in ΔLMN</u>
- 6x + 3 + 4x - 10 + 5x + 7 = 180
- 15x = 180
- x = 12
<u>Angles in ΔLMN</u>
- (6x + 3)° = 6(12) + 3 = 75°
- (4x - 10)° = 4(12) - 10 = 38°
- (5x + 7)° = 5(12) + 7 = 67°
<u>Solving for y in ΔSTU</u>
- 5x + 3y + 9y - 7 + 6x - 5 = 180
- 11x + 12y - 12 = 180
- 11(12) + 12y = 192
- 132 + 12y = 192
- 12y = 60
- y = 5
<u>Angles in ΔSTU</u>
- (5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°
- (9y - 7)° = 9(5) - 7 = 45 - 7 = 38°
- (6x - 5)° = 6(12) - 7 = 72 - 7 = 67°
⇒ Their angles are equal (in ΔLMN and ΔSTU)
⇒ ΔLMN and ΔSTU are similar
1 milligram is equal to 0.001 grams. In other words, divide the mass value by 1000.
Domain: (-∞,∞)
Range: (-∞,-3]
Step-by-step explanation:
A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is
(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.