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SECONDARY
ALGEBRA
ALGEBRA I
All
Answered
Unanswered
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
The division of the expression
\(\displaystyle{6.2}\ {k}{m}\div{4}\)
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