The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
brainly.com/question/28048895
#SPJ4
Answer:
The volume of shipping crate is 32 unit cubes.
Step-by-step explanation:
Given that:
Length of the crate = 4 units
Width of the crate = 2 units
Height of the crate = 4 units
Volume of shipping crate = Length * Width * Height
Volume of the crate = 4 * 2 * 4
Volume of crate = 32 unit cubes.
Hence,
The volume of shipping crate is 32 unit cubes.
Answer:
quick market
Step-by-step explanation:
quick market = $1.17/3 apples
this equals $0.39 per apple.
stop and save = $2.40/5 apples
this equals $0.48 per apple
The foundational concept of algebra is to use the alphabetical letters to find the unknown number.
Algebra is the concept that uses the alphabetical letters such as x, y, z, etc. to calculate the unknow numbers. here the letters are also called as variables. The values that are known in the expression as termed as constants.
The general operations performed on the algebra is
- Addition = x + y
- Subtraction = x - y
- Multiplication = x * y
- Division = x / y
Here the alphabets x and y are called variables.
Order of operations:
The order of operation in algebra is given as follows
- Perform all the operations inside the brackets
- Perform the operations on roots and exponents
- Perform all the division and multiplication operations moving from left to right
- Perform all the addition and subtraction operations from left to right.
To know mire about Algebra here
brainly.com/question/953809
#SPJ4
