Factor the given factor from the expression.
x52;x52+x54x52+x54=□□
(Type your answer in factored form. Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)
Factor the given factor from the expression.
x91;x92−5x91x92−5x91=□□
(Type your answer in factored form. Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.)
Consider the following lines.
Line 1: 3x−4y=12
Line 2: a line perpendicular to 3x−4y=12 that contains the point (3,−4)
Write the equation of Line 1 in slope-intercept form.
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Find the slope of Line 1.
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Simplify. Assume all variables are positive.
r712⋅r−78 Write your answer in the form A or B′A where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
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Algebra 1
W. 5 Add polynomials to find perimeter
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answered Find the perimeter. Simplify your answer.
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Add and subtract like terms
Lesson: Simplifying expressions
10:09 AM
12/2/2024
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression.
3ln(9x)=15 Rewrite the given equation without logarithms. Do not solve for x .
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Convert the fraction below to a mixed number.
Be sure to simplify the fraction portion as much as possible.
Fraction to change: 414 Whole Number:
Numerator: □
Denominator: □
Gonfirm TYPE YOUR ANSWER AND CLICK ON CONFIRM.
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Use the properties of logarithms to expand the following expression.
log(3x46(x+5)2) Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log(3x46(x+5)2)=□log
Simplify.
1) x+967x
A) 42x(x+9)
B) 42x(x+9)
C) 42xx+9
D) 7(x+9)6x Simplify and reduce to lowest terms.
2) m−23m−m−26
A) m−23
B) 0
C) m−23(m+2)
D) 3
3) 14x8+14x3
A) 1114x
B) 28x11
C) 1
D) 14x11 Find the least common multiple.
4) x2−9,x+3
A) x2−9
C) x3−27
B) (x−3)(x+3)2
D) (x+3)(x2−9) Write the expression in lowest terms.
5) y2+2y−35y2−2y−15
A) −y2+2y−35y2−2y−15
B) y+7y+3
C) 2y−7−2y−3
D) 2y−35−2y−15 Use the verbal description to evaluate the function as indicated.
6) Multiply the input by 4 and add 7 to obtain the output. Find f(1).
A) -3
B) 11
C) -11
D) 3 Determine whether f might be a linear function.
7) \begin{tabular}{c|c|c|c|c}
x & 1 & 2 & 3 & 4 \\
\hlinef(x) & 7 & 13 & 19 & 25
\end{tabular}
A) Yes
B) No
olve the equation.
8) ∣r−1∣=6
A) No solution
B) -7
C) 5,7
D) −5,7
Simplify the expression below in terms of p and q. Your final answer should contain no trigonometric functions and should be written as an expression in p and q solely.
sin(arcsin(p)+arccos(q))
Multiply and simplify. Assume that all expressions under radicals represent positive real numbers.
5(r−10)25(r−10)18=t Write your answer using radical notation if necessary.
Match each radical expression to an equivalent expression. The expressions are not necessarily in simplest form.
✓(43)(89) 1. 9634x(324x11) 2. −73424+3638−943 3. −68343−91925420x5 4. −73424−43 5. 8x4(33x2) 6. 25x100x
Factor the trinomial, or state that the trinomial is prime.
y2−9y+14 Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. y2−9y+14=□
B. The polynomial is prime.
Practice
Condense each logarithm. Your response will be the expression that will be within the single logarithm. Refer back to your notes on Slide 7 if you need assistance.
\begin{tabular}{|c|c|}
\hline Expression & Expression within the log \\
\hline 2logb+3logc & b2c3 \\
\hline 2loga−4logb & \\
\hline21lna+2lnc & \\
\hline21(logb−logc) & \\
\hline 2logc−(3loga+logb) & \\
\hline
\end{tabular}
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Assessment Question 4 Subtract and simplify:
3x210x+9−3x2−10x+9 Enter the numerator and denominator separately in the boxes below. If the denominator is 1 , enter the number 1. Do not leave either box blank. Answer:
□ Numerator preview:
Simplify. Use a graphing calculator table to verify your result when possible. Assume that each variable is nonnegative.
−57x⋅23x−57x⋅23x=□
(Type an exact answer, using radicals as needed.)