Answer:
D
Step-by-step explanation:
The equation of the parabola is of the form
y = ax² + c ( where c is the y- intercept )
Here c < 0
Since the parabola has a maximum value and opens down then a < 0
Thus the only equation that could represent this parabola is
y = - x² - 3 → D
Answer:
Fahrenheit = 50°F
Step-by-step explanation:
Equation: F = ⁹/₅C + 32, C = 10
Plug in: F = ⁹/₅(10) + 32
Multiply: F = 18 + 32
Add: F = 50
Step-by-step explanation:
sin^(2)x + sin x = 0
sin x(sin x +1)= 0
sin x = 0 or sin x = -1
so, x = 0°, 180°, 270°
{0°, 180°, 270°}
Answer:
210 + -1x
Step-by-step explanation:
Simplifying
X + (x + -30) = 180
Reorder the terms:
X + (-30 + x) = 180
Remove parenthesis around (-30 + x)
X + -30 + x = 180
Reorder the terms:
-30 + X + x = 180
Solving
-30 + X + x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + X + 30 + x = 180 + 30
Reorder the terms:
-30 + 30 + X + x = 180 + 30
Combine like terms: -30 + 30 = 0
0 + X + x = 180 + 30
X + x = 180 + 30
Combine like terms: 180 + 30 = 210
X + x = 210
Add '-1x' to each side of the equation.
X + x + -1x = 210 + -1x
Combine like terms: x + -1x = 0
X + 0 = 210 + -1x
X = 210 + -1x
Simplifying
X = 210 + -1x
General equation is
an = a1 + (n-1)d where a1 = first term and d = common difference
here d= 2-5 = -3 and a1 = 5
so an = 5 -3(n-1) is the explicit equation required.
