Mathematics, 13.12.2019 03:31 blossie94681

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Answer from: emmamerida

A). Adam and Bianca is saving the same per day and it is 3$/day

B). On starting of competitions,

Adam has 3$ and Bianca has 2$

Step-by-step explanation:

Given that saving of Adam is shown in graph and saving of Bianca is shown in the table.

In the case of Adam's saving

Equation of line for saving is given by y=mx+c

y is saving in dollars and x is a number of days.

where m is a slope of line and c is the y-intercept

The slope is given by m= $\frac{Y2-Y1}{X2-X1}$

From a given graph of Adam's saving,

A line passing through, (0,3) and (1,6)

The slope is given line will be

m1= $\frac{Y2-Y1}{X2-X1}$

m1= $\frac{6-3}{1-0}$

m1=3

and y-intercept of the graph is c=3

Therefore, The equation for Adam's saving is y=3x+3

In the case of Bianca's saving

Equation of line for saving is given by (y-Y1)=m(x-X1)

y is saving in dollars and x is a number of days.

where m is the slope of the line

The slope is given by m= $\frac{Y2-Y1}{X2-X1}$

From the given table of Bianca's saving,

A line passing through, (5,17) and (8,26)

The slope is given line will be

m2= $\frac{Y2-Y1}{X2-X1}$

m2= $\frac{26-17}{8-5}$

m2=3

Therefore, The equation for Bianca's saving is

(y-Y1)=m(x-X1)

(y-17)=3(x-5)

y-17=3x-15

y=3x+2

A). Determine who saves the most per day.

Ans.

On comparing the slope of the equations

m1=m2=3$/day

Thus, Adam and Bianca is saving the same per day

B). How much money both have starting of competitions

Ans.

On comparing the y-intercept os equations

For Adam: Y-intercept is 3$

For Bianca: Y-intercept is 2$

Answer from: Quest

56 ur welcome:

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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