Algebra Word Problems Solved | Algebra Help & Examples

High School
Algebra

How do I prove that $f (x) = l n (x) - (x - 4)^{2}$ has exactly two roots.
I assume we take the derivative of the function. I get: $y^{'} = 1 / x - 2 (x - 4)$ and I attempt to set it to 0 and solve but get stuck. Any tips?

Aliyah Thompson 2022-11-18

Solve following equations:
${\begin{cases} K = \frac{B - 3}{20} \\ K = (20 S + 3) R + S \\ K = 20 S^{2} + (20 N + 7) S + N \\ N = S - R \end{cases}$ - And the $B$ values, e.g : $173, 283, 2343, 834343$ How to find the $R$ values?

Alice Chen 2022-11-18

Thomas stands on a street corner tossing a coin. He decides he will toss the coin 10 times, each time walking 1 block north if it lands heads up, and 1 block south if it lands tails up. Find the probability that he ends up 6 blocks south of6 blocks south of his original corner.

Hallie Stanton 2022-11-18

Is there a method for finding two irrational numbers that multiply together to form a rational number

MMDCCC50m 2022-11-18

Why does slope tell you if two lines are parallel

Annie French 2022-11-18

Find two geometric means between 3 and 375

Elliana Molina 2022-11-18

What is the mixed number of $\frac{105}{13}$

jorgejasso85xvx 2022-11-18

write the equation in point slope form given a line parallel to y= -2 + 3x passing through (-2,8)

nyle2k8431 2022-11-18

Prove:
$\sqrt{7 + 2 \sqrt{10}} = \sqrt{2} + \sqrt{5}$

Elliana Molina 2022-11-18

Let $x_{1}, \dots, x_{n}$ be positive rational numbers. If $\sqrt[l_{1}]{x_{1}}, \dots, \sqrt[l_{n}]{x_{n}}$ are all irrational numbers (where $l_{1}, l_{2}, \dots, l_{n} \in N^{*}$ ), does it follow that
$\sqrt[l_{1}]{x_{1}} + \dots + \sqrt[l_{n}]{x_{n}}$
is an irrational number, too?

clealtAfforcewug 2022-11-18

Integrate $\int (\log (\sin x \cos x))^{n} d x$ with hypergeometric function form
Could anyone help me with that?

Kareem Mejia 2022-11-18

What is the 10th term of the sequence if the first term of a geometric sequence is 4096, and the common ratio is 0.5

figoveck38 2022-11-18

Consider the following linear system
$\begin{matrix} (1) & x + 2 y + 2 z = 1 \end{matrix}$
$\begin{matrix} (2) & x + a y + 3 z = 3 \end{matrix}$
$\begin{matrix} (3) & x + 11 y + a z = b \end{matrix}$

pighead73283r 2022-11-18

Find the integers if the sum of two consecutive integers is 112

Nola Aguilar 2022-11-18

Find the sum of the arithmetic sequence having the data given $a_{1} = 81$ , $a_{n} = - 13$ , n = 20

Kareem Mejia 2022-11-18

Find the sum of a 28–term arithmetic sequence where the first term is 12 and the last term is 255

Jenny Schroeder 2022-11-18

Find the numbers if the sum of a number plus half of itself is 18.75

Abdiel Mays 2022-11-18

Simplify a log expression
I met a problem, I don't know if this term can be simplified properly?
$e^{(\ln a x^{b})^{c}}$
since the ln term with power of c is hard to cope with, thanks for any help!

django0a6 2022-11-18

Let $P (t) = 900 (0.4)^{t}$ be the amount of bacteria in an experiment t hours after the experiment started. What is the half-life for the bacteria?

ajakanvao 2022-11-18

Show that the set of irrational numbers is dense in $R$ using definition of Closure

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Algebra Word Problem Solutions