Answer:
6. 3x^3-7x^2+4x-1
7. -6x^4-2x^2+6x+10
8. 42x^4
Step-by-step explanation:
Answer:
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Step-by-step explanation:
Quadrant :
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.
Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.
Numbering is done in Anticlockwise
Quadrant I - x-coordinate is Positive , y-coordinate is Positive.
Quadrant II - x-coordinate is Negative , y-coordinate is Positive.
Quadrant III - x-coordinate is Negative , y-coordinate is Negative.
Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Answer:
The ounces of oil needed is 5 ounces of oil
Step-by-step explanation:
The first thing to do here is to calculate the volume of the lemon-scented candle given.
Looking at shape the volume can be calculated using the formula L * B * H
where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm
The volume V is thus = 10 * 8 * 25 = 2,000 cm^3
The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax
That will be = 0.0025 * 2,000 = 5 ounces
Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
5/4 x 22/45
110/ 180
11/18
