Lennie Carroll

2021-01-04

Need to find a variable.

$ax+by=cx+z$

solve for x

solve for x

Leonard Stokes

Skilled2021-01-05Added 98 answers

Step 1

Given:$ax+by=cx+z$

Step 2

Solving$ax+by=cx+z$

substract cx from both side of equation.

$ax-cx+by=0+z$

$(a-c)x+by=z$

substract by from both sides of the equation.

$(a-c)x+0=z-by$

$(a-c)x=z-by$

divide both the side of equation by (a-c)

$(1)x=\frac{z-by}{a-c}$

$x=\frac{z=by}{a-c}$

Step 3

Result:$x=\frac{z-by}{a-c}$

Given:

Step 2

Solving

substract cx from both side of equation.

substract by from both sides of the equation.

divide both the side of equation by (a-c)

Step 3

Result:

Given that 1${\mathrm{log}}_{a}\left(3\right)\approx 0.61$ and l${\mathrm{log}}_{a}\left(5\right)\approx 0.9$ , evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 5.

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The equation above shows how temperature

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2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

3. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

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One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.

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Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is

x-6y-5=0

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is x-6y-5=0

A polynomial of a degree 5 had rational coefficients and the zeros $\frac{4}{3},8i$, and $3-5\sqrt{2}$

What are the missing zeros?

Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.

A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $11, the average attendance has been 29,000. When the price dropped to $10, the average attendance rose to 35,000. Assuming the demand function, p(x)$p\left(x\right)$, is linear, find p(x)$p\left(x\right)$, where x$x$ is the number of the spectators.

*Write p(x)*$p\left(x\right)$*in slope-intercept form.*To break even in a manufacturing business, income or revenue R must equal the cost of production the letter C. The cost the letter C to produce X skateboards is the letter C = 108+21X. The skateboards are sold wholesale for $25 each, so revenue the letter R is given by the letter R = 25 X. Find how many skateboards the manufacture needs to produce and sell to break even. (Hint: set the cost expression equal to the revenue expression and solve for X.)