Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
So, by substitution:
Simplify. Distribute:
Rearrange:
Combine like terms. Hence:
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
Depends how fast she run in mile average is 8 min a mile so if she is consistent it would take here 56 min to an hour
The last table because each value goes up proportionally. The equation is actually y= 5x -10.
Have a great day.
Answer:
11
Step-by-step explanation:
2÷5 = 0.5
11÷2 = 5.5
5.5÷0.5 = 11
