7x-2(x+1)=6x+14
7x-2x-2=6x+14
5x-6x=14+2
-x=16
x=-16
Answer: C— 9 m
Steps:
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 81
b = 9
Answer:
y = -5x + 12
Step-by-step explanation:
First remember the equation y = mx + b
We have values for x, y, and m so all we need to do is solve for b.
2 = -5 (2) + b
2 = -10 + b
12 = b
Then plug that value back in and keep the variables for x and y
y = -5x + 12
Answer:
Formular sistemas de ecuaciones
Step-by-step explanation:
Lo primero que debemos hacer es resolver una incógnita en la primera ecuación. Posteriormente, sustituimos el valor correspondiente de "x" en la segunda ecuación. Ahora, borramos el "y". Finalmente, usamos el valor de "y" para encontrar el valor de "x".
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.