Add 2x^2 to both sides
7x^2-2x-6=9x
Subtract 9x from both sides
7x^2-11x-6=0
Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)
Then use the Zero Product Property to find roots
x-2=0
x=2
7x+3=0
7x=-3
x=-3/7
Final answer: x=-3/7, x=2
Answer:
57 inches
Step-by-step explanation:
The height, width, and diagonal of the TV screen form a right triangle.
Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.
a² + b² = c²
30² + 48² = c²
900 + 2304 = c²
3204 = c²
56.6 = c
Round this to the nearest inch:
56.6
= 57
So, the diagonal of the TV screen is 57 inches
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations:
x+y=118 ⇒x=118-y
7.5x+3y=696
we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42
x=118-y
x=118-42
x=76
Answer: the number of adult tickets sold was 76.
1-1/2-1/4=1/4 If 75 is 1/4, then just divide to get the whole thing. 75/1/4=200
She had two hundred cards to start with. Hope this helps!!!
