The answer depends on whether you're looking for the x or the y. If y, the answers are the ones on the left, and the x on the right.
1) -4x + 3y ≤ 15 -4x + 3y <span>≤ 15
</span><span> +4x +4x -3y -3y
3y </span>≤ 4x + 15 -4x <span>≤ -3y + 15
</span><span> --- --------- ---- ------------
3 3 -4 -4
y </span>≤ 4/3x + 5 x <span>≥ 3/4y + 11
2) -6x - 4y </span>< 12 -6x - 4y < 12<span>
+6x +6x +4y +4y
-4y </span>< 6x +12 -6x < 4y + 12<span>
---- ---------- ---- -----------
-4 -4 -6 -6
y </span>> -3/2 - 3 x > -2/3y - 2
The equtaion has only one solution because they cut each other only once <span>and the are independent ..as both line are different. So </span>it would be (d) consistent and independent
Answer:
y = 2x(x - 21)
Step-by-step explanation:
The given quadratic function y = -40x + 2x^2 - 2x
This can be rearranged as
y = 2x^2 - 2x - 40x
Here the Greatest Common Factor is 2x, we can take it out and write the remaining term in parenthesis.
y = 2x(x - 1 -20)
y = 2x(x - 21)
That's the answer.
Hope this will helpful.
Thank you.
Answer:
11/15
Step-by-step explanation:
2/5 + 1/3
6/15 + 5/15 (which are equivalent fractions of 2/5 and 1/3 respectively)
11/15
Answer:
y +5 = (-2/3)(x -4)
Step-by-step explanation:
The point-slope form of an equation of a line with slope m through point (h, k) is ...
... y -k = m(x -h)
You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...
... y -(-5) = (-2/3)(x -4)
... y +5 = (-2/3)(x -4)
