Answer:
x = 1
Step-by-step explanation:
Given
8x - 2(x - 7) = 20 ← distribute parenthesis on left side
8x - 2x + 14 = 20, that is
6x + 14 = 20 ( subtract 14 from both sides )
6x = 6 ( divide both sides by 6 )
x = 1
H is the answer. This is because if you fold 3 in half it won't be equal.
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:

Answer: option D. 2x^2 + (3/2)x - 5
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
Answer:
y = 11.54°
Step-by-step explanation:
Reference angle = y°
Opposite side length = 4
Hypotenuse = 20
Apply trigonometric function SOH:




y = 11.536959° ≈ 11.54° (nearest hundredth)