Answer:
y = 3
Step-by-step explanation:
9 - y = 2y
<u>Step 1: Add y to both sides</u>
9 - y + y = 2y + y
9 = 3y
<u>Step 2: Divide both sides by 3</u>
9 / 3 = 3y / 3
3 = y
Answer: y = 3
1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
If we have one zero of +5i, we also have to have its conjugate which is -5i. Therefore, the factors that we will FOIL to get that polynomial are (x+5i)(x-5i). That distribution results in

. I'm sure by now you know that i squared is equal to -1, so -25(-1) = 25. So our polynomial is
Answer: D
Step-by-step explanation:
this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.
Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x
for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.
your finished equation would be: y=-x+2
i hope this is helpful