X= 65
Explanation:
Simplify both sides of equations
3(x)+7)(2)+8=440
6x+42+8=440 (Distribute)
(6x)+(42+8)=440
(Combine Like Terms)
Step 2: subtract 50 from each side
6x+50−50=440-50 6x=390
Step 3: Divide both sides by 6
6x/6 = 390/6
Answer:
Step-by-step explanation:
y = x² + 2x - 5
d. D: all real numbers R: (y greater-than-or-equal-to negative 6)
The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.
A key feature of the parallelogram is that the diagonals bisect each other, therefore:
PT = TR
QT = TS
With this information we can now plug in the equations and solve for the variables x and y.
PT = TR
2x = y+4
y = 2x - 4
QT = TS
x + 2 = y
We now have two equations for the variable y. With this we can solve for x.
2x - 4 = x + 2
x = 6
y = x + 2
y = 6 + 2
y = 8
Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are
x = 6, y = 8.