Question: ned took a test with 25 questions. he lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. how many points did ned receive or lose overall?

my thoughts: 6(-4)+10=-14; lost 14 points

what i'm confused on: i need a confirmation for my thoughts first. i need to you to break down the question for me. lastly, i want to understand why the number of questions he did get correctly doesn't play a role in the math problem.

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

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step-by-step explanation: