Use the given conditions to write an equation for the line in the indicated form.
Passing through (5, 3) and perpendicular to the line whose equation is y = x + 5;
slope-intercept form
y = 7x – 38
y = – 7x + 38
y = – 7x – 38
y = – x –
Question 22.5 PointsUse the given conditions to write an equation for the line in the indicated form.
Passing through (3, 2) and parallel to the line whose equation is ;
point-slope form
y – 2 = 2(x – 3)
y = 2x
y – 2 = x – 3
y – 3 = 2(x – 2)
Question 32.5 PointsSolve the equation by factoring.
x 2 = x + 30
{5, 6}
{-5, -6}
{1, 30}
{-5, 6}
Question 42.5 PointsSolve the equation by factoring.
7 – 7x = (4x + 9)(x – 1)
{-1, 4}
{-4, 1}
Question 52.5 PointsSolve the equation using the quadratic formula.
5x 2 + x – 2 = 0
Question 62.5 PointsSolve the equation using the quadratic formula.
x 2 – 6x + 25 = 0
{3 – 16i, 3 + 16i}
{3 + 4i}
{-1, 7}
{3 – 4i, 3 + 4i}
Question 72.5 PointsSolve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.8x + 40,000. Find the cost of producing 50,000 jars.
$50,040
$40.80
$40,000
$80,000
Question 82.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 2 + 3x + x 2
Question 92.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 8 – x 2 + 2x
Question 102.5 PointsAdd or subtract as indicated and write the result in standard form.
(6 – 10i) + (7 + 7i) + (-4 – 5i)
13 – 3i
17 + 2i
9 – 8i
-5 – 22i
Question 112.5 PointsAdd or subtract as indicated and write the result in standard form.
(4 + 3i) – (-8 + i)
-4 + 4i
12 – 2i
12 + 2i
-12 – 2i
Question 122.5 PointsFind the product and write the result in standard form.
(-9 – 3i)(2 + i)
-21 – 15i
-15 – 15i
-21 – 3i
-15 – 3i
Question 132.5 PointsComplex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (3 + 2i) ohms.
(52 – 39i) volts
(52 + 39i) volts
(18 – 39i) volts
(18 + 39i) volts
Question 142.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
not a function
function
Question 152.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
not a function
function
Question 162.5 PointsFind the slope of the line that goes through the given points.
–
Undefined
–
Question 172.5 PointsFind the slope of the line that goes through the given points.
(-8, 8), (-3, 8)
1
0
4
14
Question 182.5 PointsFor the given functions f and g , find the indicated composition.
83,028
54,168
46,317
7851
Question 192.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = (x + 5) 2 + 6
Question 202.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 4 – (x – 2) 2
Question 212.5 PointsUse the given conditions to write an equation for the line in point-slope form.
Slope = , passing through (5, 7)
y + 7 = (x + 5)
y – 7 = (x – 5)
y = x + 5
x – 7 = (y – 5)
Question 222.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 – x 2 + 2x
(- 1, 4)
(1, – 4)
(1, 4)
(- 1, – 4)
Question 232.5 PointsFind the x-intercepts (if any) for the graph of the quadratic function.
f(x) = x 2 – 9
(-9, 0)
(3, 0)
(-3, 0) and (3, 0)
No x-intercepts
Question 242.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 7 – (x + 4) 2
(7, 4)
(4, 7)
(7, -4)
(-4, 7)
Question 252.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
y = 3x + 18
y = mx + 18
y – 3 = – 3(x – 5)
y = – 3x + 18
Question 262.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Slope = -2, passing through (-6, 7)
y – 7 = -2x + 6
y – 7 = x + 6
y = -2x – 5
y = -2x + 5
Question 272.5 PointsDetermine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x 2 – 8x
16; x 2 – 8x + 16 = (x – 4) 2
-16; x 2 – 8x – 16 = (x – 4) 2
64; x 2 – 8x + 64 = (x – 8) 2
-64; x 2 – 8x – 64 = (x – 8) 2
Question 282.5 PointsSolve the equation by completing the square.
x 2 + 14x + 26 = 0
Question 292.5 PointsCompute the discriminant. Then determine the number and type of solutions for the given equation.
x 2 + 4x + 3 = 0
4; two unequal real solutions
-28; two complex imaginary solutions
0; one real solution
Question 302.5 PointsGiven functions f and g, determine the domain of f + g.
(- , 10) or (10, )
(- , )
(0, )
(- , -3) or (-3, )
Question 312.5 PointsUse the graph to determine the function’s domain and range.
domain: (- , )
range: (- , )
domain: x = –
range: y = 5
domain: (- , )
range: y = 5
domain: x = –
range: (- , )
Question 322.5 PointsGiven functions f and g, perform the indicated operations.
(3x + 4)(3x – 2)
(3x + 4)(9x – 4)
Question 332.5 PointsDetermine whether the relation is a function.
{(-8, -9), (-8, 9), (1, 3), (3, 5), (10, -9)}
Not a function
Function
Question 342.5 PointsDivide and express the result in standard form.
+ i
+ i
– – i
– – i
Question 352.5 PointsDivide and express the result in standard form.
-1 + i
1 + i
-1 – i
-1 + 2i
Question 362.5 PointsGive the domain and range of the relation.
{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17}
domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4}
domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}
domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4}
Question 372.5 PointsPerform the indicated operations and write the result in standard form.
Question 382.5 PointsPerform the indicated operations and write the result in standard form.
Question 392.5 PointsFind the domain of the function.
f(x) = x 2 + 8
[-8, )
(- , )
(- , -8) (-8, )
(-8, )
Question 402.5 PointsFind the domain of the function.
f(x) =
(- , 5) (5, )
(- , )
(- , 0) (0, )
(5, )
