 # Algebra 1 questions and answers

Recent questions in Algebra I Maggenifh 2021-11-16 Answered

### Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as $$\displaystyle{A}{\left({r}\right)}={2}\pi{r}^{{{2}}}+{16}\pi{r}$$. What is the domain of $$\displaystyle{A}{\left({r}\right)}$$? In other words, for which values of r is $$\displaystyle{A}{\left({r}\right)}$$ defined? Part b: Find the inverse function to $$\displaystyle{A}{\left({r}\right)}$$. Your answer should look like $$\displaystyle{r}=$$ "some expression involving A". $$\displaystyle{r}{\left({A}\right)}=$$ Hints: 1) To calculate an inverse function, you need to solve for r. 2)Here you could start with $$\displaystyle{A}={2}\pi{r}^{{{2}}}+{16}\pi{r}$$. This equation is the same as $$\displaystyle{A}={2}\pi{r}^{{{2}}}+{16}\pi{r}-{A}={0}$$. Do you recognize this as a quadratic equation $$\displaystyle{a}{x}^{{{2}}}+{b}{x}+{c}={0}$$ where the variable x is r? The coefficients would be $$\displaystyle{2}\pi$$ for a, $$\displaystyle{16}\pi$$ for b, and $$\displaystyle-{A}$$ for c. 3)You can solve for r using the quadratic formula even though the constant term c is a symbol here. Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate $$\displaystyle{r}{\left({225}\right)}$$. Round your answer to 2 decimal places. Need Part C uneskovogl5 2021-11-16 Answered

### Find the area of the region enclosed by one loop of the curve. $$\displaystyle{r}={\sin{{4}}}\theta$$ ffortunyu 2021-11-16 Answered

### To calculate: The x and y intercept of the function $$\displaystyle{g{{\left({x}\right)}}}=-{x}^{{{2}}}+{x}-{1}$$ sonkitty2h 2021-11-16 Answered

### Sugar maples are 8.4 meters tall. Telephone company plans to remove the top third of the trees. Find the height of sugar maples after they are shortened. deliriwmfg 2021-11-16 Answered

### The length of each pieces of the board A 10-foot board is to be cut into two pieces so that the length of the longer piece is 4 times the length of the shorter. Lloyd Allen 2021-11-16 Answered

### The value of x and y for the following system of equations $$\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={10}$$ $$\displaystyle{9}{x}^{{{2}}}+{y}^{{{2}}}={18}$$ atodion23 2021-11-16 Answered

### The largest Coca-cola sign is in Tokyo and its length is 31 yards and width is 49 feet. The area of Coca-cola sing board. Sheelmgal1p 2021-11-16 Answered

### The standard dose of an antibiotics is 4cc for every 25 pounds of body weight. Find the standard dose for a 140 pound woman. lilyta79jd 2021-11-16 Answered

### To solve the given equation: $$\displaystyle{\frac{{{3}}}{{{x}^{{{2}}}-{25}}}}={\frac{{{1}}}{{{x}+{5}}}}+{\frac{{{2}}}{{{x}-{5}}}}$$ embaseclielenzn 2021-11-16 Answered

### Convert 6400mm to meters. zachutnat4o 2021-11-16 Answered

### Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created? $$\displaystyle{f{{\left({x}\right)}}}=-{\left({x}-{2}\right)}^{{2}}-{2}$$ $$\displaystyle{f{{\left({x}\right)}}}={\left({x}-{2}\right)}^{{2}}+{2}$$ $$\displaystyle{f{{\left({x}\right)}}}={\left({x}-{2}\right)}^{{2}}-{2}$$ of $$\displaystyle{f{{\left({x}\right)}}}=-{\left({x}+{2}\right)}^{{2}}-{2}$$ villane0 2021-11-16 Answered

### What number exceeds its square by the largest amount? [Hint: Find the number x that maximizes $$\displaystyle{f{{\left({x}\right)}}}={x}-{x}^{{2}}$$.] Nefissi8u 2021-11-16 Answered

### Find the average rate of change of the function from $$\displaystyle{x}_{{1}}$$ to $$\displaystyle{x}_{{2}},\ {f{{\left({x}\right)}}}=-{2}{x}+{15}$$ arneguet9k 2021-11-15 Answered

### To perform the indicated operation $$\displaystyle{8}{c}{m}-{14}{m}{m}$$ kdgg0909gn 2021-11-15 Answered

### To solve $$\displaystyle{9}{x}={8}{x}+{1.02}$$ Isaiah Alsup 2021-11-15 Answered

### Factor the polynomial $$\displaystyle-{x}{y}^{{{3}}}-{x}^{{{3}}}{y}$$ gonjenjemeb 2021-11-15 Answered

### Evalue $$\displaystyle{y}+{5}{x}$$ for $$\displaystyle{x}=-{20}$$ and $$\displaystyle{y}=-{10}$$ vetrila10 2021-11-15 Answered

### a) Simplify the expression $$\displaystyle{4}{x}+{6}{x}$$ by combining the like terms. b) Simplify the expression $$\displaystyle{y}-{5}{y}$$ by combining the like terms. c) Simolify the expression $$\displaystyle{3}{x}^{{{2}}}+{5}{x}^{{{2}}}-{2}$$ by combining the like terms. wurmiana6d 2021-11-15 Answered

### A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months) by $f\left(x\right)=\{ \begin{array}{c}{Cxe^{-x/2}} & {x>0} \\ {0} & {x\leq0} \end{array}$ what is the probability that the system functions for at least 5 months? tapetivk 2021-11-15 Answered

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