TIME REMAINING 57:48
The data in the table represents a company’s profit based on the number of items produced.

A 2-column table with 6 rows. The first column is labeled items produced (x) with entries 100, 200, 300, 400, 500, 600. The second column is labeled dollars of profit (y) with entries negative 70,500; 50; 50,100; 80,300; 90,400; 78,000.
Which equation best represents the data?

y = –1.026x2 + 1016.402x – 162075
y = –1.036x2 + 1024.771x – 163710
y = 298.214x – 66317.667
y = 196.2x – 18710
TIME REMAINING
57:48
The data in the table represents a company’s profit based on the number of items produced.

A 2-column table with 6 rows. The first column is labeled items produced (x) with entries 100, 200, 300, 400, 500, 600. The second column is labeled dollars of profit (y) with entries negative 70,500; 50; 50,100; 80,300; 90,400; 78,000.
Which equation best represents the data?

y = –1.026x2 + 1016.402x – 162075
y = –1.036x2 + 1024.771x – 163710
y = 298.214x – 66317.667
y = 196.2x – 18710

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~