Algebra Word Problem Solutions

The government of a large city needs to determine whether the citys

Contain linear equations with constants in denominators. Solve each equation. ${\displaystyle \frac{x+1}{3}=5-\frac{x+2}{7}}$

If ${\displaystyle 2\frac{x}{3}+\frac{x}{2}=\frac{1}{6}}$, then x=?
A. ${\displaystyle \frac{1}{30}}$
B. ${\displaystyle \frac{1}{15}}$
C. ${\displaystyle \frac{1}{7}}$
D. ${\displaystyle \frac{1}{5}}$
E. ${\displaystyle \frac{1}{3}}$

$\sqrt{(x+8)}+\sqrt{(x+15)}-\sqrt{(9x+40)}$

What is the slope of the line that passes through the pair of points (–5.5, 6.1), (–2.5, 3.1)? Group of answer choices
a) –1
b) 1
c) -2
d) $\frac{1}{2}$

${\displaystyle \left(\frac{x}{2}\right)+\left(\frac{5}{6}\right)=\frac{x}{3}}$

Write equations of two rational functions with graphs that are identical except that one is shifted vertically 3 units with respect to the other.

Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. $y=0.6(1/10{)}^x$

Fill in the blanks. The process used to write a system of linear equations in row-echelon form is called ________ elimination.

Graph each polynomial function. Estimate the x-coordinate at which the relative maxima and relative minima occur. State the domain and range for each function. $f(x)=-x^3+4x^2-2x-1$

Consider the function $f(x)=2x^3+6x^2-90x+8,[-5,4]$
find the absolute minimum value of this function.
find the absolute maximum value of this function.

Some friends were playing darts decided to impose a 4-point penalty for each dart that missed the dart board completely. During the evening, a boy had 3 darts in the 20-point section, 6 darts in the triple-15-point section, and 2 darts in the double-10-point section. He missed the dart board completely 4 times. How many points did the boy score?

Degree 3; zeros: $3,4-i$

Find the linear approximation of the function $f(x)=\sqrt{4-x}$ at $a=0$
Use L(x) to approximate the numbers $\sqrt{3.9}$ and $\sqrt{3.99}$ Round to four decimal places

If f and g are both even functions, is $f+g$ even? If f and g are both odd functions, is$f+g$ odd?
What if f is even and g is odd?
Justify your answers.

How many strings are there of four lowercase letters that have the letter x in them?

Graph each polynomial function.
${\displaystyle f\left(x\right)={(x-1)}^4}$

Compute the LU factorization of each of the following matrices.
$\left[\begin{array}{ccc}-2& 1& 2\\ 4& 1& -2\\ -6& -3& 4\end{array}\right]$

Solve each inequality. $|2x+7|\le 13$

Find the absolute value.
$|i^{500}|$