Answer:
k = - 1
Step-by-step explanation:
If (x - 5) is a factor of p(x) then p(5) = 0
p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is
125 - 150 + 5k + 30 = 0
5 + 5k = 0 ( subtract 5 from both sides )
5k = - 5 ( divide both sides by 5 )
k = - 1
A. 16 minutes.
b. around 3.5 tasks.
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296...
Answer:
She need to make 98 on the last assignment.
Step-by-step explanation:
Average = 92
x = mark on last assignment
(88 + 97 + 91 + 86 + x) / 5 = 92
To solve for x...multiply 5 on each side
<em>(88 + 97 + 91 + 86 + x) / 5 * 5 = 92*5</em>
<em>This would get of / 5 so you don't need to divide by 5</em>
362 + x = 460
Subtract 362 from each side
x = 98
The required solution is 1(one) as per the given functions.
What is a function?
- In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
- The set X is called the sphere of the function and the set Y is called the codomain of the function.
- Functions were firstly the idealization of how a varying volume depends on another volume, an expression, rule, or law that defines a relationship between one variable( the independent variable) and another variable( the dependent variable).
- Functions were firstly the idealization of how a varying volume depends on another volume. For illustration, the position of the earth is a function of time.
Every function has a(one) domain and codomain or range. A function is generally(ax) denoted by f(x) where x(ax) is the input
Given :
The function(one)
g(m)= m-4(four).
By put m is equal to 5(five) we get,
g(5)=5-4(four)
=1(one)
Hence, the required solution is 1(one) as per the given functions.
Learn more about functions here: brainly.com/question/25638609
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