Answer:
The relationship between price and the number of empanadas is PROPORTIONAL.
1 Empanada = 50 cent = $0.5
Constant of PROPORTIONALITY = ½
Step-by-step explanation:
From the given table:
2 Empanadas = $1
6 Empanadas = $3
We see that, as the number of Empanadas increases, the amount in Dollars also increases. Such that:
Let E = Empanadas
$ = dollar
~ = sign of PROPORTIONALITY.
Therefore:
$ ~ E
$ = KE
Where K = constant of proportionality.
When E = 4; $ = 2
$2 = K4
K= 2/4
K = ½
$ = ½E (Binding formula)
This applies for all the number of Empanadas bought.
Answer:
The solution to the equation is:
Option c. b=0 and b=4
Step-by-step explanation:
5 / (3b^3-2b^2-5) = 2 / (b^3-2)
Cross multiplication:
5(b^3-2)=2(3b^3-2b^2-5)
Applying distributive property both sides of the equation to eliminate the parentheses:
5(b^3)-5(2)=2(3b^3)-2(2b^2)-2(5)
Multiplying:
5b^3-10=6b^3-4b^2-10
Passing all the terms to the right side of the equation: Subtracting 5b^3 and adding 6 both sides of the equation:
5b^3-10-5b^3+10=6b^3-4b^2-10-5b^3+10
Adding like terms:
0=b^3-4b^2
b^3-4b^2=0
Getting common factor b^2 on the left side of the equation:
b^2 (b^3/b^2-4b^2/b^2)=0
b^2 (b-4) = 0
Two solutions:
(1) b^2=0
Solving for b: Square root both sides of the equation:
sqrt(b^2)=sqrt(0)
Square root:
b=0
(2) b-4=0
Solving for b: Adding 4 both sides of the equation:
b-4+4=0+4
Adding like terms:
b=4
The solution of the equation is: b=0 and b=4 (Option c)
Answer:
A) y = 1/3x + 4
B) y = 1/2x - 9
Step-by-step explanation:
A) In order to find this, we must first solve the initial equation for y to get the slope.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.
y - y1 = m(x - x1)
y - 5 = 1/3(x - 3)
y - 5 = 1/3x - 1
y = 1/3x + 4
B) To find this line, we again have to find the slope of the initial equation by solving for y.
2x + y = -4
y = -2x - 4
Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.
y - y1 = m(x - x1)
y - - 8 = 1/2(x - 2)
y + 8 = 1/2x - 1
y = 1/2x - 9
Answer:
4
Step-by-step explanation:
thx for the points lol
Answer:
To calculate exponential growth, use the formula y(t) = a__ekt, where a is the value at the start, k is the rate of growth or decay, t is time and y(t) is the population's value at time t.
Step-by-step explanation:
