Answer:
Step-by-step explanation:
The reciprocal of a number n is 
Given 8 
, change to an improper fraction
= 
= 
, thus
reciprocal = 
=
Answer:
x=-4
Step-by-step explanation:
Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4
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
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
Answer: Exponential table
