Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost and he plans to save $5 per week. Define all unknown variables. Write an equation modeling the total amount he has saved.

Bergen
2021-01-16
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pierretteA

Answered 2021-01-17
Author has **102** answers

Given, Franco begins to save $65 for a new Lego set, and his parents give $35 towards cost.

Francos

Francos

asked 2021-09-17

The function $y=3.5x+2.8$ represents the cost y (in dollars) of a taxi ride of x miles.

a. Identify the independent and dependent variables.

b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

a. Identify the independent and dependent variables.

b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

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A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.

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Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.

$(x+1)}^{3$

asked 2021-09-15

Let F be the field of rational functions described in the Example.

(a) Show that the ordering given there satisfies the order axioms O1, O2, and O3.

(b) Write the following polynomials in order of increasing size:${x}^{2},-{x}^{3},5,x+2,3-x$ .

(c) Write the following functions in order of increasing size:

$\frac{{x}^{2}+2}{x-1},\frac{{x}^{2}-2}{x+1},\frac{x+1}{{x}^{2}-2},\frac{x+2}{{x}^{2}-1}$ .

(a) Show that the ordering given there satisfies the order axioms O1, O2, and O3.

(b) Write the following polynomials in order of increasing size:

(c) Write the following functions in order of increasing size:

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The given equation involves a power of the variable. Find all real solutions of the equation.

$4{(x+2)}^{5}=1$

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Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. $y=\frac{7}{8}{\left(18\right)}^{x}$

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Factor each polynomial.

$16{q}^{2}-25$