Has one equation and two unknowns
Has two equations with different sets of unknowns
Has more sets of unknowns than equations
A system of two linear equations and two unknowns can be solved by:
Graphing the equations
All of the above
A system of two linear equations and three unknowns can be solved by:
Graphing the equations
It cannot be solved
A system of equations has as many?equations as there are variables?(unknowns).
Solve these two equations by elimination, substitution or graphing
X=-1/3, y = 4/3
X= 4/3, y = -1/3
For the following System of?Equations,?the?Matrix?Form included below is correct.
Matrix Form:?2 1 1 / 4
33 6 5 / 0
0 5 -1 / 27
The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants discharged into a river is given by
C= 245p/100-p, 0 ??p < 100
According to this model, explain why or why not it is possible to remove 100% of the pollutants??
The admission fee at the county fair is?$2?for children and?$4?for adults. On a certain day,?2000?people enter the fair and?$5000?is collected. Using?c?as the variable to represent the number of children and?a as the variable for adults, write system of equations to determine how many children and how many adults attended.?Note down this system of equations so that you can use it for the next question.
Based on the system of equations you wrote in the previous problem, how many children attended the county fair that day?
Evaluate the function ?(x) = 5x + 4 at ?(0)
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2?What expenditure for advertising will yield a maximum profit?
The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by??50t/t^2+25?where t is the time (in hours) after taking the antibiotic. What is the concentration 10 hours after taking the antibiotic?
Write the logarithmic equation in exponential form.
Log2?16 = 4
Find the domain of the function:? f(x)=3/x
All real numbers
All real numbers except x=3
All positive real numbers
All real numbers except x=0
pH?is a measure of the hydrogen ion concentration of a solution. It is?defined as the negative logarithm of the hydrogen ion concentration.?The equation is:
pH = - log [H+]?
If an acid has anH+?concentration of 10-7, find the pH?
In order to join a movie streaming service, you pay a $75 annual fee, then $1.50 for each movie you stream. Which equation will allow you to?determine the cost you will pay if you stream x number of movies??
Evaluate the function at the indicated value of x.?
Function:?f(x)?=?0.5x?Value: x = 2
Find the domain of the function?
Domain: all real numbers x except x=7
Domain: all real numbers x except x=6
Domain: all real numbers x
Domain: all real numbers x except x = -6
Express the following matrix as a system of equations:
2 3 / 5
-4 7 / 2
Solve for x.
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