The factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
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What is a factor?</h3>
A factor is a number that completely divides another number.
In other words, since the result may be divided by the two whole numbers we are multiplying, they are factors of the result if multiplying two whole numbers produces a result.
The numbers that can divide a number exactly are called factors.
There is none left over after division as a result.
The numbers you multiply together to produce another number are called factors.
A factor is hence the division of another number.
So, we have the expression: x³-5x²-2x+24
Now, calculate the factors as follows:
x³-5x²-2x+24
We already know that: P(-2) = 0
Hence, x+2 is a factor.
Now, other factors are: x² - 7x + 12
x² + 4x + 3x + 12
(x - 3)(x - 4)
Therefore, the factors of the expression x³-5x²-2x+24 are: (x+2)(x-3)(x-4)
Know more about the factors here:
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Correct question:
What is the factor of x³-5x²-2x+24?
Vertex is at the point ( h , v )
The equation of a parabola is:
x = a ( y - v )² + h
Answer: B )
Answer:
3
Step-by-step explanation:
4(x + 1) + 8 = 24
Subtract 8 from each side
4(x + 1) + 8-8 = 24-8
4(x + 1) = 16
Divide by 4
4(x+1)/4 = 16/4
x+1 = 4
Subtract 1
x+1-1 = 4-1
x=3
Answer:
Part (A) The required volume of the column is 
.
Part (B) The volume be 
.
Step-by-step explanation:
Consider the provided information.
It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.
Also One vertex of the square lies on L.
Part (A)
Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.
This square moves a distance h along L, and generate a corkscrew-like column with square.
The cross section will remain the same.
So the cross section area of original column and the cross section area of twisted column at each point will be the same.
The volume of the column is the area of square times the height.
This can be written as:
Hence, the required volume of the column is .
Part (B) What will the volume be if the square turns twice instead of once?
If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.
Hence, the volume be .
Answer:
Step-by-step explanation:
Give the data
198 sq.yd × 8 sq ft ×7
Note that we have two unit of measurement which are yd and ft and 7 is just a constant
So we need to convert them,
Then, 1 yd = 3ft
Also notice that they are square.
Then square both sides of the comparison
(1 yd)² = (3 ft)²
1 sq.yd = 9 sq.ft
Then, back to our question,
198 sq.yd × 8 sq ft ×7
Let covert to ft
198 sq.yd× (9 sq.ft/1 sq.yd) ×8 sq.ft×7
sq.yd cancels out
99,792 sq.ft × sq.ft
99,792 ft⁴
Let convert to yd
198 sq.yd × 8 sq ft ×7
198 sq.yd×8 sq.ft (1 sq.yd / 9sq.ft )×7
1,232 sq.yd × sq.yd
1,232 yd⁴
