Question 4 (1 point)
The function y=−3sinx+1 has an amplitude of -3 .
True
False Question 5 (1 point)
The graph of the function y=sinπx has a period of 2 .
True
False Question 6 (1 point)
The trigonometric equation cos2x−sin2x=0 has the same solutions as the trigonometric equation cos2x=0.
True
False
Write the complex number in rectangular form.
12(cos150∘+isin150∘)12(cos150∘+isin150∘)=□
(Type your answer in the form a + bi. Type an exact answer, using radicals as needed.)
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
REASONING
a. Rewrite 2x+46x4+2x2−16x2+24x+32 as q(x)+d(x)π(x) using long division.
2x+46x4+2x3−16x2+24x+32=□∫x3−□x2+□∫x+□ , remainder
□ Part B
b. What does the remainder indicate in this problem? Because the remainder is Select Choice v,2x+4 is a Select Choice v of 6x4+2x3−16x2+24x+32.
□
Algebra II 3. Write an equation for the line perpendicular to y=4x−3 through the point (2,0) using point-slope form, then simplify into standard form.
y=4x−3
Question 1 (1 point)
A population, p, of bears varies according to p(t)=250+30cost, where t is the time, in years. During which of the following intervals is the population decreasing?
a) 23π<t<2π
b) 0<t<π
C) 0<t<2π
d) π<t<2π
Question 1 of 5, Step 1 of 1
Correct Use any convenient method to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
⎩⎨⎧x+5yy−3z−3x−y+6z===121032 Answer
Keypad
Keyboard Shortcuts Selecting an option will display any text boxes needed to complete your answer.
Only One Solution Inconsistent System
O Dependent System
Find all zeros of the function: k(x)=12x2−23x+5.
The zeros are x=□ Find all zeros of the function: g(x)=x2−3x−18.
The zeros are x=□
Find all zeros of the function: m(x)=2x2−5x−63.
The zeros are x=□
Question Help:
Video
Solve the system of equations by the substitution method.
y=75x+72y=41x+4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is □ 3. (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Solve the system of equations by the addition method.
16x−3y4x+2y=−49=−26 Select the correct choice below and fill in any answer boxes present in your choice.
A. The solution set is □ \}. (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.
Which of the following is the set of all real numbers x such that x+2>x+5 ?
A. The set containing only zero
B. The set containing all nonnegative real numbers
C. The set containing all negative real numbers
D. The set containing all real numbers
E. The empty set
The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.
C(x)=24,000+38x and R(x)=40x
a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
b. Find the company's profit if 20,000 radios are produced and sold.
a. The company's profit function is P(x)= :
□
(Simplify your answer.)
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent".
∫6∞(x+5)3/27dx=
The following steps are used to rewrite the polynomial expression (x+4y+z)(x−7y).
Step 1: x(x−7y)+4y(x−7y)+z(x−7y) Step 2: x2−7xy+4yx−28y2+zx−7zy Step 3: x2−7xy+4xy−28y2+xz−7yz Step 4: x2−3xy−28y2+xz−7yz Identify the property used in each of the steps: Step 1: Step 2: Step 3:
4.5 Exponential and Logarithmic Equations and Applications
Question 8 of 26 (2 points) I Question Attempt: 2 of Unilimited
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13 Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places.
2t=19
There is no solution, }.
The exact solution set is □ \}
t≈□
\begin{tabular}{|c|c|c|}
\hline \multicolumn{3}{|l|}{} \\
\hline □ln□ & □log□ & log D \\
\hline ㅁ & □□ & □ \\
\hline × & & 5 \\
\hline
\end{tabular}
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Dec 3
6:56
Find all the zeros. Write the answer in exact form.
t(x)=x3−5x2+4x+6 If there is more than one answer, separate them with commas.
Select "None" if applicable.
The zeros of t(x) : □
Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places.
2700=16,200e−0.2x
There is no solution, \{\}.
The exact solution set is □}.
x≈□
Solve for x.
−2+x32=x−x3 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
x=□
No
solution
1□ □,□,…