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ALGEBRA
ALGEBRA I
QUADRATICS
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Calculus and Analysis
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Quadratics Answers
Quadratics
asked 2021-03-11
Solve the following quadratic equation
\(\displaystyle{3}{x}^{{2}}+{5}{x}+{2}={0}\)
Quadratics
asked 2021-03-09
Deetermine, without graphing, ehether the given quaratic function has a maximum value or a minimum value and then find the valur. f(x) = 2x^2-12x
Quadratics
asked 2021-03-08
Simplify:
\(\displaystyle{2}\sqrt{{{8}}}\sqrt{{{18}}}\)
Quadratics
asked 2021-03-08
Find the roots of the function
\(\displaystyle{f{{\left({x}\right)}}}={\left({2}{x}−{1}\right)}\cdot{\left({x}^{{2}}+{2}{x}−{3}\right)}\)
, with
\(\displaystyle{x}\in{R}\)
Quadratics
asked 2021-03-05
Solve the quadratic equation for all values of x in simpls form
\(\displaystyle{4}{\left({x}+{8}\right)}^{{2}}={4}\)
Quadratics
asked 2021-03-02
Express
\(\displaystyle{x}^{{{2}}}+{8}{x}\)
\ in the form \
\(\displaystyle{\left({x}+{a}\right)}{2}+{b}\)
Quadratics
asked 2021-03-01
Find the vertex of the qudratic function
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{6}{x}+{42}\)
, then express the qudratic function in standart form
\(\displaystyle{f{{\left({x}\right)}}}={a}{\left({x}-{h}\right)}^{{2}}+{k}\)
and state whether the vertex is a minimum or maximum. Enter exat answers only, no approximations.
Quadratics
asked 2021-02-27
The table to the right has the inputs, x, and the outputs for three functions, f, g, and h. Use second differences to determine which function is exactly quadratic, which is approximately quadratic, and which is not quadratic.
The functon
f(x) is _______ quadratic,
g(x) is _____ quadratic,
h(x) is _______ quadratic.
Quadratics
asked 2021-02-25
sqrt5 is between which two integers? Explain your reasoning.
Quadratics
asked 2021-02-22
What is the vertex of the quadratic y = 6 ( x − 2 ) 2 + 10?
Quadratics
asked 2021-02-21
Solve the quadratic equation using the quadratic formula.
\(\displaystyle{2}{x}^{{2}}-{6}{x}+{5}={0}\)
Quadratics
asked 2021-02-14
Multiply and simplify
\(\displaystyle\frac{{{x}^{{2}}+{2}{x}-\frac{{3}}{{x}^{{2}}}+{1}{x}-{20}}}{{{x}-\frac{{1}}{{x}}+{5}}}\)
Quadratics
asked 2021-02-11
Factoring is used to solve quadratics of the form
\(\displaystyle{a}{x}^{{2}}+{b}{x}+{c}={0}\)
when th eroots are rational. Find the roots of the following quadratic functions by factoring:
a)
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{5}{x}-{14}\)
b)
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{64}\)
c)
\(\displaystyle{f{{\left({x}\right)}}}{6}{x}^{{2}}+{7}{x}-{3}\)
Quadratics
asked 2021-02-09
Solution to quadratic equation Quadratic formula -2 Examples with solution and checking
Quadratics
asked 2021-02-08
\(\displaystyle{9}^{{x}}-{1}={27}^{{-{{x}}}}+{2}\)
Quadratics
asked 2021-02-06
Use Vieta's formulas to find the sum and product of the roots.
\(\displaystyle{x}^{{2}}+{3}{x}-{5}={0}\)
Quadratics
asked 2021-01-31
Solve the quadratic by using the quadratic formula x^2 = 7x + 9
Quadratics
asked 2021-01-30
A function is a ratio of quadratic functions and has a vertical asymptote x =4 and just one -intercept, x =1. It is known f that has a removable discontinuity at x =- 1 and
\(\displaystyle\lim_{{{x}\to{1}}}{f{{\left({x}\right)}}}={2}\)
. Evaluate
a) f(0)
b)
\(\displaystyle\lim{x}_{{{x}\to\infty}}{f{{\left({x}\right)}}}\)
Quadratics
asked 2021-01-24
You have been asked to bake the birthday cake of a little girl who is about to turn three. When looking up suggestions online on how to bake this cake, you found that most everyone suggests baking the cake in smaller circular cake pans that have a diameter of 6 inches. That’s the best way to get the height for the unicorn head. A normal circular cake pan (and the only kind you have) has a diameter of 9 inches. You need to buy cake pans. As an experienced baker, you know that the recipe you are planning on using usually fills two regular (9-inch) cake pans, with a little room to spare. How many 6-inch pans do you need to buy? (We’re going to assume that all cake pans are the same height.)
Quadratics
asked 2021-01-22
Explain how to complete the square for an expression of the form x²+bx.
Add __ to
\(\displaystyle{x}²+{b}{x}.\)
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