Which statement is true about the equations –3x + 4y = 12 and x – y = 1? The system of the equations has exactly one solution at
1 answer:
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Begin by disregarding the inequality symbol and substituting it with an '=' sign. After that, determine the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot the points (73.33,0) and (0,110). Given that the inequality symbol is ≥, representing equality, connect these points using a solid line.
Next, let's identify a point on the graph, for instance, the origin (0,0). Use this point in the equation.
15x + 10y ≥ 1,100
15(0) + 10(0)? 1,100
0? 1,100
0 < 1,100
This makes the ≥ statement false. As a result, the alternate area defined by the line is the solution. Consequently, shade that region. The resulting graph is displayed in the attached image.
La ganancia de Brad fue del 30%
Explicación adicional:
La ganancia es el dinero obtenido al vender un producto por encima de su costo original.
La fórmula para calcular la ganancia es:
Datos:
Precio de compra del paquete de bebidas energéticas = £9.25
Precio de venta por botella = £1
Precio total por 12 botellas = 1 * 12 = £12
Ganancia = Precio de venta - Precio de compra
= 12 - 9.25
= £2.75
Así, la ganancia de Brad fue de £2.75
Luego,
Porcentaje de ganancia = (Ganancia / Precio de compra) * 100
= (2.75 / 9.25) * 100
= 0.30 * 100
= 30%
La ganancia de Brad fue del 30%
Palabras clave: Ganancia, pérdida
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A dilation represents a transformation 
, centered at point O with a scale factor of k, which cannot be zero. This transformation keeps O fixed while transforming any other point P into its image P'. Points O, P, and P' are collinear.
In a dilation of
, the scale factor 
maps the original figure to its transformed image in such a way that the distances from O to points of the image are half the distances from O to the original figure. Consequently, the image's size is also half that of the original figure.
Thus, <span>If represents the dilation of △ABC, then the properties of the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.
The distance from A' to the origin is half that from A to the origin.</span>
In a dilation of
Thus, <span>If
<span>AB is parallel to A'B'.
The distance from A' to the origin is half that from A to the origin.</span>