Responder:
y = 200x + 2000
Explicación paso a paso:
Deje que la ecuación lineal se exprese como y = mx + c
m es la pendiente
c es la intersección
Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;
(10,4000) y (15,5000)
Conseguir la pendiente
m = 5000-4000 / 15-10
m = 1000/5
m = 200
Obtener la intersección c
Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c
4000 = 200 (10) + c
4000-2000 = c
c = 2000
Sustituya m = 200 y c = 2000 en la ecuación y = mx + c
y = 200x + 2000
Por tanto, la expresión lineal requerida es y = 200x + 2000
Answer:
The length of the rectangular prism is
Step-by-step explanation:
step 1
Find the volume of the 64 1-inch cubic blocks
The volume of one cubic block is
so
the volume of 64 cubic blocks is
step 2
Find the length of the rectangular prism
The volume of the rectangular prism is equal to
we have
substitute and solve for L
Answer:
m = -2
Step-by-step explanation:
24 = -6(m + 1) + 18 (Given)
24 = -6(m) + -6(1) + 18 (Distributive Property of Equality)
24 = -6m - 6 + 18 (Simplify)
24 = -6m + 12 (Simplify)
24 - 12 = -6m + 12 - 12 (Subtraction Property of Equality)
12 = -6m (Simplify)
(Division Property of Equality)
-2 = m (Simplify)
m = -2 (Distributive Property of Equality)
Answer:
x=2
Step-by-step explanation:
2x+6=5x
3x=6
x=2
1)
x^2 - 49 = 0
factor
(x+7)(x-7) = 0
x+7 = 0; x = -7
x -7 = 0; x = 7
2)x^2 - 18x + 81 = 0
factor
(x- 9)(x - 9) = 0
x - 9=0; x = 9
3)
x^2 + 3x = 40
x^2+3x - 40 = 0
factor
(x + 8)(x - 5) = 0
x+8 = 0; x = -8
x -5 = 0; x = 5
4)
3x^2 - 75 = 0
3(x^2 - 25) = 0
3(x+5)(x-5) = 0
x + 5 = 0; x = -5
x - 5 = 0; x = 5
5)
2x^2 - 15 = 7x
2x^2 - 7x - 15 = 0
(2x + 3)(x - 5) = 0
2x+3 = 0; x = -3/2
x - 5= 0; x = 5
6)
4x^2 + 16x - 48 = 0
4(x^2 + 4x - 12) = 0
4(x + 6)(x - 2) = 0
x + 6 = 0; x = -6
x - 2 = 0 ; x = 2