Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore. Let m represent the number of months the ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted. f(x) = 1000(∛x) + 1000 How many books were sold after 8 months? (3 points)
Graph the function. (10 points)
Answers
The solution is 3000 books
The number of books sold after 8 months is given by the equation
f ( 8 ) = 3000 books
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = 1000 ∛( x ) + 1000 be equation (1)
Let the number of months be represented as x
Now , the number of books sold by Isabel for 8 months is given by the equation ,
when x = 8
Substitute the value of x = 8 in the equation , we get
f ( x ) = 1000 ∛( x ) + 1000
f ( 8 ) = 1000 ∛8 + 1000
f ( 8 ) = 1000 ( 2 ) + 1000
f ( 8 ) = 2000 + 1000
f ( 8 ) = 3000 books
Therefore , the value of f ( 8 ) is 3000 books
Hence , the number of books sold is 3000 books
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Answer: 3000 books
2. Graph of the function is in attachment.
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Answers
Answer:
x = 2 is a zero of f(x)
Step-by-step explanation:
if x = 2 is a zero of f(x) , then f(2) = 0
given
f(x) = - 4x³ + 2x² - 3x + 14 , then
f(2) = - 4(2)³ + 2(2)² - 3(2) + 14
= 16 - 4(8) + 2(4) - 6 + 14
= 16 - 32 + 8 - 6 + 14
= 0
since f(2) = 0 then x = 2 is a zero of f(x)
Final answer:
Using substitution, we can determine whether 2 is a zero of the given function.
Explanation:
To determine whether 2 is a zero of the function f(x)=x^(4)-4x^(3)+2x^(2)-3x+14, we can use substitution. We substitute x = 2 into the function and check if the resulting expression equals zero.
f(2) = (2)^(4)-4(2)^(3)+2(2)^(2)-3(2)+14 = 16-32+8-6+14 = 0
Since the result is zero, we can conclude that 2 is indeed a zero (root) of the function.
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Answers
Answer:
equation is (5x,±52) = (8x±17) first u want to add 52 and 17 to get 69 then 8x subtracted by 5x to get 3x then divide 3 by 69 to get 23
Answers
AB+BC=AC
assuming that A, B, C are in order, and assuming that those are the points,
legnth of AC=|A-C|=39 (|x| means absolute value of x)
A=2x-8
b=17x
AB=|A-B|=|2x-8-17x|=|-8-15x|
we are only given AB but not BC so this is not solvable unless you know BC
AB+BC=AC
BC=AC-AB
BC=39-|-8-15x|
that's as far as I can go since we don't know any more
4>-x/4
Answers
Answer:
x>-16
Step-by-step explanation:
First
4> -x/4
switchsides
-x/4<4
then multipy both sides by 4
4(-x/4)<4*4
then multipy bothsides by -1 and reverse the inequality
(-x)(-1)> 16(-1)
Answers
Answer:
2n(n + 5)(n + 6)
Step-by-step explanation:
given the expression
2n³ + 22n² + 60n ← factor out the common factor of 2n from each term
= 2n(n² + 11n + 30) ← factorise the quadratic
consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)
the factors are + 5 and + 6 , since
+ 5 × + 6 = + 30 and 5 + 6 = + 11
use these factors to split the n- term
n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )
= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term
= (n + 5)(n + 6)
Then
2n³ + 22n² + 60n
= 2n(n + 5)(n + 6) ← in factored form
9P25
25P9
25C9