Answer:
The value of the snack bar is $ 2 and that of the magazine subscription is 25 $
Step-by-step explanation:
We have a system of two equations and two unknowns, which would be the following:
let "x" be the cost of the snack bar
Let "y" be the cost of the magazine subscription
16 * x + 4 * y = 132
20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6
replacing:
16 * x + 4 * (190 - 20 * x) / 6 = 132
16 * x + 126.66 - 13.33 * x = 132
2.66 * x = 132 - 126.66
x = 5.34 / 2.66
x = 2
for "y":
y = (190 - 20 * 2) / 6
y = 25
Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $
2 years older then Marjorie.....m = Marjorie
m + 2 <== ur expression
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
1.) <1=25°, <2=155°, <4=155°
The correct equation of the scaled figure is given by 6/3 = 4/a
<h3>Scaling</h3>
Scaling is the process of either increasing or decreasing the size of a figure by a factor.
From the diagram attached, Figure f is a scaled copy of Figure e. Figure e is decreased to produce figure f, hence:
- AB/XY = CD / WZ
- 6/4 = 3 / a
- 6/3 = 4/a
The correct equation of the scaled figure is given by 6/3 = 4/a
Find out more on scaling at: brainly.com/question/10253650