Solving <span>8x-5y=10 for y helps us to identify the y-intercept:
-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).
The equation </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.
So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
Answer: 3, 5, 7
Step-by-step explanation:
There is a "trick" to determine divisibility by 3: if the sum of the digits is divisible by 3, the number is divisible by 3.
3 + 1 + 5 = 9 which is a multiple of 3, so 315 is divisible by 3.
It works for 9 also. since the sum of the digits is 9, 315 is divisible by 9.
Divisibility by 5: any number that has the units digit 5 or 0 is divisible by 5.
For 7, I just tried it 315÷7= 45
Only even numbers are divisible by 2.
If a 3-digit number is divisible by 11, the middle digit will be the sum of the first and last digits. (That is not the case for 315) But 385 is divisible by 11, also 495, 253, and many others you can try for fun.
Answer:
nonproportional
Step-by-step explanation:
x + 3
------- is definitely nonproportional. The reason for this is that the graph (a
8 straight line) does not pass through the
origin; it's offset by 3/8 unit up from the
origin.
Answer:
The quadratic polynomial with integer coefficients is 
.
Step-by-step explanation:
Statement is incorrectly written. Correct form is described below:
<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>
<em>. </em>
Let be 
and 
roots of the quadratic function. By Algebra we know that:
(1)
Then, the quadratic polynomial is:
The quadratic polynomial with integer coefficients is .
I think the answer is 276
12 * 23 = 276
hope it helps
