This is how I would go about solving this, hope it helps.
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
70% of 100 is 70 students.
Unfortunately I can not make a model for you but here's an idea:
Draw a large circle.
Next, draw a line halfway down the circle, and halfwar down draw another line to the right, this making it look like three fourths.
Then, color the larger space in one color and the other smaller space that looks like a small slice of pie in another color.
On the larger piece write "70% who got an A" and on the smaller write "30% who didn't get an A"
At the bottom you can write 70 students out of 100 got an A on the test.
Answer:
x = 6
Step-by-step explanation:
Using this theorem to get the other angles of the triangle.
Angle at the vertex is equal to half of the angle at the intercepted arc
For the arc with angle 170degrees
Angle at the vertex = 1/2 * 170
Angle at the vertex = 85 degrees
For the arc with angle 90degrees
Angle at the vertex = 1/2 * 90
Angle at the vertex = 45 degrees
Taking the sum of the 3 angles and equating to 180
85 + 45 + 12x - 22 = 180
130-22+12x = 180
12x = 180 - 108
12x = 72
x = 72/12
x = 6
Hence the value of x is 6
