Answer:
The sum of two negative integers is always negative.
Step-by-step explanation:
For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.
Answer:
x=12/23
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Occam’s razor theory.
Step-by-step explanation:
This theory is known as Occam’s razor theory.
It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”
This definition resonates with what is explained in the question.
Thus, the theory is as explained.
Answer:
Y intercept will be -4.
Step-by-step explanation:
Here we are given our function as
![2y+8=6x^2-10x](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x)
We are asked to determine the y intercept.
The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.
Please note that the point at which graph cuts the y axis have x=0
Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :
![2y+8=6x^2-10x2y+8=6x^2-10x](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x2y%2B8%3D6x%5E2-10x)
Putting x =0
![2y+8=6x^2-10x2y+8=6(0)^2-10(0)](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x2y%2B8%3D6%280%29%5E2-10%280%29)
![2y+8=6x^2-10x2y+8=0-10(0)](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x2y%2B8%3D0-10%280%29)
![2y+8=6x^2-10x2y+8=0](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x2y%2B8%3D0)
subtracting both sides by 8
![2y+8=6x^2-10x2y=-8](https://tex.z-dn.net/?f=2y%2B8%3D6x%5E2-10x2y%3D-8)
dividing both sides by 2
=-4
(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.