Algebra Word Problem Solutions

Find the midpoint of the segrnent with the given encpoin's: ${\displaystyle (\frac{3}{8},-\left(\frac{2}{5}\right))}$ and ${\displaystyle (-\left(\frac{5}{2}\right),\frac{3}{2})}$

Evaluate the following.
$(1)\underset{x\to 1}{lim}\frac{\sin 5x}{x}$

The central processing unit (CPU) power in computers has increased significantly over the years. The CPU power in Macintosh computers has grown exponentially from 8 MHz in 1984 to 3400 MHz in 2013 (Source: Apple. The exponential function ${\displaystyle \mathrm{\$}M\left(t\right)=7.91477{\left(1.26698\right)}^t\left[math\right]}$, where t is the number of years after 1984, an be used to estimate the CPU power in a Macintosh computer in a given year. Find the CPU power of a Macintosh Performa 5320CD in 1995 and of an iMac G6 in 2009. Round to the nearest one MHz.

Solve the given system of equation equation
${\displaystyle Y=-X-6}$
${\displaystyle x+3y=-18}$

Simplify $\sqrt{-54}$ using the imaginary number i
A) ${\displaystyle 3i\sqrt{6}}$
B) ${\displaystyle -3\sqrt{6}}$
C) ${\displaystyle i\sqrt{54}}$
D) ${\displaystyle 3\sqrt{-}6}$

To find the equation: $3(3w-4)=-20$

You buy 50 shares of stock for $18.25 per share. One month later, the value of the stock is $18.98 per share.
a. The value of the stock continues to increase by the same dollar amount each month. How much will your investment be worth in 1 year?
b. The value of the stock continues to increase by the same percent each month. How much will your investment be worth in 1 year?

To find the equation: ${\displaystyle 11\cdot \sqrt{48}}$

Which of these are propositions? What are the truth values of those that are propositions?

a) Do not pass go.

b) What time is it?

c) There are no black flies in Maine.

d) $4+x=5.$

e) The moon is made of green cheese.

f) ${\displaystyle 2\ge 100}$.

g) Kochi is the capital of Kerala state.

h) $2+3=5$.

i) $5+7=10$.

j) Answer this question.

${\displaystyle \frac{144}{6}=6\frac{c}{6}}$

Need to calculate:The factorization of $3x^3+2x^2+3x+2$.

Carrie made 127 brownies and packed 13 in each box. How many boxes are packed and how many brownies are left over?

A city has 8,958 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 25 equal groups for city parks. How many recycle bins are left over?

How to solve Averages Questions Quickly Today we will discuss first basic Arithmetic Mathematics topic which is very mportant according to our Govt. exams perspective.

solve the equation ${\displaystyle 4x^3=324}$

Is 3m+8=15 is quadratic?

Describe the similarities between a) the lines ${\displaystyle y=x\text{and}y=-x}$ and the graphs of other odd-degree polynomial functions b) the parabolas ${\displaystyle y=x^2\text{and}y=-x^2}$ and the graphs of other even-degree polynomial functions

How much does it cost to plant a rectangular field 20 m in length and 30 m in width with strawberry seeds if it costs $0.50 to plant 1 ${\displaystyle m^2}$?

Recognize the equation and important characteristics of the different types of conic sections, illustrate systems of nonlinear equations, determine the solutions of system of equations (one linear and one second degree) in two variables using substitution, elimination, and graphing (in standard form), solve situational problems involving systems of non-linear equation
Write the following equation in standard form and sketch its

a. Let $f(x)=\frac{e^x-e^{-x}}{x}$
$\text{Find}\underset{x\to 0}{lim}(e^x-e^{-x})/x$