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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blank with an appropriate word, phrase, or symbols(s).a) The point whose coordinates are (2, 7) is located in the ________ quadrant.b) The point whose coordinates are (-3, -5) is located
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.p = i2r;
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation in which the highest exponent on the variable is a 1 is called a(n) _______ equation.
Multiply the binomials.(x - 7)(x + 5)
Fill in the blank with an appropriate word, phrase, or symbol(s).A test that is used to determine whether a graph represents a function is called the _________ line test.
Fill in the blank with an appropriate word, phrase, or symbol(s).The points of intersection of the boundaries of the feasible region are called _______ .
Fill in the blank with an appropriate word, phrase, or symbol(s).If the graphs of the equations in a system of linear equations are the same line, then the system has a(n) _______ number of solutions.
Fill in the blank with an appropriate word, phrase, or symbols(s).In the equation y = mx + b, the slope of the line is represented by ________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The numerical part of a term is called its numerical _______.
Multiply the binomials.(x + 3)(x - 11)
Fill in the blank with an appropriate word, phrase, or symbol(s).The formula used to determine the equation for the axis of symmetry of a parabola is _________.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a linear programming problem, the shaded region formed by graphing the system of inequalities is called the _______ region.
Fill in the blank with an appropriate word, phrase, or symbol(s).If the graphs of the equations in a system of linear equations intersect at only one point, then the system has _______ solution(s).
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = 2lw + 2wh
Fill in the blank with an appropriate word, phrase, or symbol(s).Terms that have the same variables with the same exponents on the variables are called _______ terms.
Fill in the blank with an appropriate word, phrase, or symbol(s).For a quadratic equation in standard form ax2 + bx + c = 0, a ≠ 0, the quadratic formula is _______ .
Write the phrase as a mathematical expression.The quotient of y and 3
Fill in the blank with an appropriate word, phrase, or symbol(s).When both sides of an inequality are multiplied or divided by a(n) _______ number, the direction of the inequality symbol is reversed.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a quadratic function of the form f (x) = ax2 + bx + c, if a is less than 0, then the graph of f (x) is a parabola that opens
Fill in the blank with an appropriate word, phrase, or symbol(s).In a linear programming problem the restrictions that are represented by linear inequalities are called the _______ .
Fill in the blank with an appropriate word, phrase, or symbol(s).If the graphs of the equations in a system of linear equations are parallel lines, then the system has _______ solution(s).
Fill in the blank with an appropriate word, phrase, or symbol(s).The parts that are added or subtracted in an algebraic expression are called _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).When a quadratic equation cannot be easily solved by factoring, the equation can be solved using the _______ formula.
Write the phrase as a mathematical expression.The product of 11 and x
Fill in the blank with an appropriate word, phrase, or symbol(s).When solving an inequality, if you obtain a statement that is always true, such as 2 > 1, the solution is _______ real numbers.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a quadratic function of the form f (x) = ax2 + bx + c, if a is greater than 0, then the graph of f (x) is a parabola that opens
Fill in the blank with an appropriate word, phrase, or symbol(s).The solution set to a system of linear inequalities is the set of all _______ pairs that are common to all the inequalities in the
Fill in the blank with an appropriate word, phrase, or symbol(s).A system of equations that has an infinite number of solutions is called a(n) _______ system of equations.
Fill in the blank with an appropriate word, phrase, or symbols(s).The ratio of the vertical change to the horizontal change for any two points on a line is called the ________ of the line.
Fill in the blank with an appropriate word, phrase, or symbol(s).The number or numbers that replace the variable to make an equation a true statement is called the _______ to the equation.
Fill in the blank with an appropriate word, phrase, or symbol(s).When solving an inequality, if you obtain a statement that is always false, such as 3 > 5, the answer is _______ solution.
Fill in the blank with an appropriate word, phrase, or symbol(s).The set of values obtained for the dependent variable is called the _________ of the function.
Fill in the blank with an appropriate word, phrase, or symbol(s).The set of points that satisfy all inequalities in a system of linear inequalities is called the _______ set.
Fill in the blank with an appropriate word, phrase, or symbol(s).A system of equations that has at least one solution is called a(n) _______ system of equations.
Fill in the blank with an appropriate word, phrase, or symbols(s).To determine the y-intercept of the graph of a linear equation, set ________ equal to zero and solve the equation for y.
Fill in the blank with an appropriate word, phrase, or symbol(s).A collection of variables, numbers, grouping symbols, and operation symbols is called an algebraic _______ .
Fill in the blank with an appropriate word, phrase, or symbol(s).When multiplying two binomials, a method that obtains the products of the first, outer, inner, and last terms is called the _______
Fill in the blank with an appropriate word, phrase, or symbol(s).An inequality of the form a < x < b is called a(n) _______ inequality.
Fill in the blank with an appropriate word, phrase, or symbol(s).The set of values that can be used for the independent variable is called the _________ of the function.
Fill in the blank with an appropriate word, phrase, or symbol(s).When graphing an inequality in two variables, if the inequality contains either ≤ or ≥ use a(n) _______ line.
Fill in the blank with an appropriate word, phrase, or symbol(s).A system of equations that has no solution is called a(n) _______ system of equations.
Fill in the blank with an appropriate word, phrase, or symbol(s).A variation equation that relates one variable to two or more other variables using the operation of multiplication is called a(n)
Fill in the blank with an appropriate word, phrase, or symbol(s).When one quantity increases while the other quantity decreases, it is an example of ________ variation.
Fill in the blank with an appropriate word, phrase, or symbols(s).To determine the x-intercept of the graph of a linear equation, set ________ equal to zero and solve the equation for x.
Fill in the blank with an appropriate word, phrase, or symbol(s).A symbol that represents a specific quantity is called a(n) _______.
Solve the equation.4x + 6 = 2 (3x - 7)
Fill in the blank with an appropriate word, phrase, or symbol(s).a) a < b means that a is _______ than b.b) a > b means that a is _______ than b.
Fill in the blank with an appropriate word, phrase, or symbol(s).A special type of relation where each value of the independent variable corresponds to exactly one value of the dependent variable is
Fill in the blank with an appropriate word, phrase, or symbol(s).When graphing an inequality in two variables, if the inequality contains either < or > use a(n) _______ line.
Fill in the blank with an appropriate word, phrase, or symbol(s).The ordered pair or ordered pairs that satisfy all equations in a system of equations is called the _______ to the system of equations.
Fill in the blank with an appropriate word, phrase, or symbols(s).An illustration of all the points whose coordinates satisfy an equation is called a(n) ________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A letter of the alphabet used to represent numbers is called a(n) _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Two or more expressions joined by an inequality symbol is called a(n) _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).When two or more linear equations are considered simultaneously, the equations are called a(n) _______ of linear equations.
(a) Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform the
Fill in the blanks with an appropriate word, phrase, or symbol(s).Goldbach’s conjecture states that every even number greater than or equal to 4 can be written as the sum of two (not necessarily)
Rationalize the denominator √2/√7.
Determine whether the statement is true or false. Modify each false statement to make it a true statement.7 is a multiple of 35.
Express the number in scientific notation.81,000,000
Perform the indicated operation and reduce your answer to lowest terms.7/16 · 12/21
Perform the indicated operation and reduce your answer to lowest terms.5/9 ÷ 6/7
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 6, a1 = 3, r = 2
Evaluate the expression using the order of operations.(50 ÷ 5 · 2) + (6 ÷ 3 · 2 - 1 · 2)
Perform the indicated operation.2√7 + 5√28
Evaluate each expression.-80
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
The quotient of any two negative integers is a negative integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Determine whether the statement is true or false. Rewrite each false statement to make it a true statement. A false statement can be modified in more than one way to be made a true statement.√p is
The exponential function E1t2 = 210 · 2t approximates the number of bacteria in a certain culture after t hours.a) The initial number of bacteria is determined when t = 0. What is the initial
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, . . . is known as the ________ sequence.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the product rule for exponents, the expression x2 • x3 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The set of rational numbers is the set of numbers of the form p/q, where p and q are ________ and q ≠ 0.
Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10.56,340
Fill in the blanks with an appropriate word, phrase, or symbol(s).The study of numbers and their properties is known as number ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The union of the rational numbers and the irrational numbers is the set of ________ numbers.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A list of numbers that are related to each other by a rule is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The set of numbers {0, 1, 2, 3, 4, …} is known as the ________ numbers.
Which of the numbers 2, 3, 4, 5, 6, 8, 9, and 10 divide 20,270?
Fill in the blanks with an appropriate word, phrase, or symbol(s).A real number that cannot be written as a ratio of two integers is known as a(n) ________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The irrational number √5 + 1 / 2 is known as the _______ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the quotient rule for exponents, the expression x7/x4 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).For the rational number p/q, p is called the ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If a is a factor of b, then b , a is a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The symbol used to represent the set of real numbers is ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The numbers that form a sequence are called its ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The rule for subtraction indicates that to subtract b from a, ________ the additive inverse of b to a.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The symbol √ is called the ________ sign.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In medieval times, people referred to the golden proportion as the ________ proportion.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the zero exponent rule, the expression 70 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).For the rational number p/q, q is called the ________.
Determine the prime factorization of the number.840
Fill in the blanks with an appropriate word, phrase, or symbol(s).If a is divisible by b, then a , b has a remainder of ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If an operation is performed on any two elements of a set and the result is always an element of the set, we say that the set is
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence in which each term differs from the preceding term by a constant amount is called a(n) ________ sequence.
Fill in the blanks with an appropriate word, phrase, or symbol(s).a) The product of two numbers with like signs is a(n) ________ number.b) The product of two numbers with unlike signs is a(n)
Evaluate [(-3) + 7] - (-4).
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the radical expression 3√5, the 5 is called the ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rectangle whose ratio of its length to its width is equal to the golden number is known as a golden ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the negative exponent rule, for x ≠ 0, the expression x-5 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Rational numbers such as 2 3/4 and -1 1/2 are examples of ________ numbers.

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