Answer:
1/72
Step-by-step explanation:
Not entirely sure but i do hope it helps
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
<h3>
What are polynomials?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,
![q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)](https://tex.z-dn.net/?f=q%28x%29%3D12x%5E5%2B40x%5E4-32x%5E3%5C%5C%5C%5Cq%28x%29%3D4x%5E3%283x%5E2%2B10x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%283x%5E2%2B12x-2x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%5B3x%28x%2B4%29-2%28x%2B4%29%5D%5C%5C%5C%5Cq%28x%29%20%3D%20%284x%5E3-0%29%283x-2%29%28x%2B4%29)
Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
Learn more about Polynomial:
brainly.com/question/17822016
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Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
We are given that the suitcase is 24 inches long and 18
inches high. Assuming a regular rectangular shape, the diagonal can be calculates
using Pythagorean theorem, that is:
diagonal^2 = 24^2 + 18^2
diagonal^2 = 900
<span>diagonal = 30 inches</span>
Answer:
Step-by-step explanation:
In ΔABC,
∠ABC + ∠BAC + ∠BCA = 180 {ANGLE SUM PROPERTY OF TRIANGLE}
41 + 102 + ∠BCA = 180
143 + ∠BCA = 180
∠BCA = 180 - 143
∠BCA = 37
∠CAE = ∠BCA {Alternate interior angles are equal}
x = 37°
