1) A
the lowest number is -3 and as it goes on, the number gets bigger and bigger therefore x must be larger than -4 but <u>not</u> equal to it.
2) D
the largest number is 9 and as it goes on, the number gets smaller therefore x must equal to and less than 9.
3) D
the largest number is 0 and the arrows points towards the negative numbers and the solid dot tells us that x can be equal to the number therefore the x must be equal to or less than 0.
4) A
the smallest number is -6 and the arrow points towards the positive numbers and the open dot tells us that x does not equal that number therefore x must be greater than -6 but <u>not</u> equal to it.
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
<h3>What is factored form?</h3>
The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression
in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
![9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)](https://tex.z-dn.net/?f=9x%5E4y-6x%5E3y%5E2%20%2B%203x%5E2y%5E3%5C%5C%5C%5C%3D%203%20%283x%5E4y-2x%5E3y%5E2%20%2B%20x%5E2y%5E3%29)
2. Taking x² as the common term
![= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\](https://tex.z-dn.net/?f=%3D%203%20%283x%5E4y-2x%5E3y%5E2%20%2B%20x%5E2y%5E3%29%5C%5C%5C%5C%3D%203x%5E2%283x%5E2y-2xy%5E2%2By%5E3%29%5C%5C%5C%5C)
3. Taking y as the common term,
![= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\](https://tex.z-dn.net/?f=%3D%203x%5E2%283x%5E2y-2xy%5E2%2By%5E3%29%5C%5C%5C%5C%3D%203x%5E2y%283x%5E2-2xy%2By%5E2%29%5C%5C%5C%5C)
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
Learn more about Factored Form:
brainly.com/question/25094938
It would be 5/9.
|~~~~~~~|
0. 5. 1
9
Answer:
23mm
528 mm^2
Step-by-step explanation:
The area of a rectangle is given as the product of its length and width.
Given that 12x²+17x-5mm² is the area
factorize
12x²+17x-5 = 12x²+20x -3x-5
= 4x(3x+5)-1(3x+5)
= (3x+5)(4x-1)
For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence
3x + 5 = 4x -1
collect like terms
3x - 4x = -5 -1
-x = -6
x = 6
substitute into the sides
3x + 5 = 3(6) + 5 = 23
4x -1 = 4(6) - 1 = 23
The area of the square which is a product of the sides
= 23 * 23
= 529
Can you provide us with the indicated angle please