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Evaluate log of x+ log of x+15=2
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Solution:
Step 1: Combine the logarithmic terms.
Step 1.1: Utilize the logarithm r… |
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Simplify (12x^5-3x^4+2x-5)+(8x^4-3x^3+4x+1)
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Solution:
Step 1:
Eliminate the parentheses to combine like terms: $12x^5 - 3x^4 + 2x - 5… |
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Write in Standard Form 11x=3x^2-9
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Solution:
Step:1
Begin by transferring all terms to one side to set the equation to zero.
Step:1.… |
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Find the Roots (Zeros) f(x)=2x^3+x^2-7x+1
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Solution:
Step 1:
Initiate the process by equating the polynomial $f(x) = 2x^{3} + x^{2}… |
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Solve for x square root of 11x=3 square root of x…
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Solution:
Step 1
Square both sides to eliminate the square roots: $(\sqrt{11x})^2 = (3\sqr… |
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Find the Holes in the Graph f(x)=(5x+3)/(x+6)
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Solution:
Step 1: Identifying Holes in the Graph
A hole in the graph of a rational functi… |
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Find the Product (x-2)(3x+4)
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Solution:
Step 1: Apply the FOIL Method to Expand the Expression
- Multiply the terms in … |
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Solve for r cube root of 7r+5=-3
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Solution:
Step 1
Cube both sides to eliminate the cube root:
$(\sqrt[3]{7r + 5})^3 = (-3)… |
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Simplify log of 2x+ log of x- log of 2
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Solution:
Step 1:
Combine the logs that are being added using the product rule for logar… |
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Solve for x 4x^7-4x^3=0
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Solution:
Step:1
Extract common factors from the equation.
Step:1.1
Extract $4x^{3}$ … |
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Find the Product (x-6)^3
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Solution:
Step 1:
Apply the Binomial Theorem to expand $(x-6)^3$ as $x^3 + 3x^2(-6) + 3x… |
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Solve the System of Equations x-3y=6 -8x-y=6
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Solution:
Step:1
Isolate $x$ in the first equation by adding $3y$ to both sides: $x = 6 + … |
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Solve for x x+(3x+5)/(x+5)=(2x)/(x+5)
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Solution:
Step:1
Identify the Least Common Denominator (LCD) for the equation's terms.
… |
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Solve the System of Equations x+y=3 x-3y=-9
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Solution:
Step 1:
Isolate $x$ in the first equation: $x = 3 - y$.
Now, we have $x + y =… |
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Combine Like Terms 4(4a+5)
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Solution:
Step 1:
Use the distributive property to expand the expression. $4 \times (4a)… |
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Graph -1/2(x-2)^2-4
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Solution:
Step:1
Analyze the characteristics of the parabola in question.
Step:1.1
… |
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Solve the Inequality for z -5z+1<-14
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Solution:
Step 1: Isolate the variable term
Move all terms not containing $z$ to the oppo… |
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Simplify the Radical Expression ( cube root of 5)…
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Solution:
Step 1:
Convert the cube root into an exponent form using the rule $\sqrt[n]{a… |
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Find the x and y Intercepts f(x)=-1/4e^(x-3)
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Solution:
Step 1: Determine the x-intercepts
Step 1.1: Set $y$ to $0$ and solve for $… |
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Simplify (4x^3y^-3)/(2x^3x^-1y^2)
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Solution:
Step 1: Combine $x$ terms in the denominator
- Identify powers of $x$ to be com… |