Question

Solve each inequality. 1) $4m + 5 > 7(-5 + 2m)$ 2) $5t - 8(t + 5) < -35 - 4t$ Solve each compound inequality and graph its solution. 3) $x - 2 > 5$ or $-4x \ge -16$ 4) $0 \le n + 10 < 14$ Solve each inequality. 5) $|a + 5| > 3$ 6) $|x - 3| \le 5$ Sketch the solution to each system of inequalities. 7) $x + 3y \le -9$ $4x - 3y < -6$ 8) A manufacturer wants to maximize the profit from selling two types of boxed chocolates. A box of chocolate covered creams yields a profit of $1.50, and a box of chocolate covered cherries yields a profit of $2.00. Market tests and available resources have indicated the following constraints: 1. The combined production level should not exceed 1200 boxes per month 2. The demand for a box of chocolate covered cherries is no more than half the demand for a box of chocolate covered creams 3. The production level of a box of chocolate covered creams is less than or equal to 600 boxes plus three times the production level of a box of chocolate covered cherries What is the maximum monthly profit? How many boxes of each type should be produced per month to yield the maximum monthly profit? Solve each inequality. 1) $-x^2 + 2x + 48 \le 0$ 2) $-x^2 - 5x + 14 \ge 0$ 3) $\frac{x - 6}{x - 7} \ge 0$ 4) $\frac{x - 8}{x - 5} \ge 0$ 5) $\frac{x + 3}{x - 4} \ge 0$ 6) $\frac{x - 2}{x - 8} \le 0$ Sketch the graph of the piecewise function. 7) $w(x) = \begin{cases} x + 3, & x < 0 \\ (x - 2)^2, & 0 \le x \le 4 \\ x - 1, & x > 4 \end{cases}$ Perform the indicated operation. 8) $f(x) = 4x + 2$ $g(x) = 3x - 5$ Find $(f \cdot g)(x)$ 9) $f(n) = 4n - 2$ $g(n) = 2n - 1$ Find $(f \cdot g)(n)$ 10) $g(t) = t^2 - t$ $h(t) = -4t - 4$ Find $(\frac{g}{h})(t)$ 11) $f(x) = -x^2 + 4x$ $g(x) = -2x$ Find $(2f - 4g)(x)$ 12) $g(n) = 4n - 3$ $f(n) = -n^2 - 3$ Find $(g + f)(n - 2)$ 13) $g(x) = 3x^3 - x$ $h(x) = 3x - 5$ Find $(g - h)(x^2)$ Find the inverse of each function. 14) $g(x) = \frac{2}{x - 1} - 1$ 15) $f(x) = -3 - 2x^5$ Find the inverse of each function. Then graph the function and its inverse. 16) $f(x) = 4x + 16$

Name: solve each inequality 1 4m 5 7 5 2m 2 5t 8t 5 35 4t solve each compound inequality and graph its solution 3 x 2 5 or 4x ge 16 4 0 le n 10 14 solve each inequality 5 a 5 3 6 x 3 le 5 sketch t 72097
Uploaded: 2022-09-13T02:26:03-08:00
Duration: 2 min 24 s
Channel: Drew Scalzo
Description: solve each inequality 1 4m 5 7 5 2m 2 5t 8t 5 35 4t solve each compound inequality and graph its solution 3 x 2 5 or 4x ge 16 4 0 le n 10 14 solve each inequality 5 a 5 3 6 x 3 le 5 sketch t 72097

          Solve each inequality.
1) $4m + 5 > 7(-5 + 2m)$
2) $5t - 8(t + 5) < -35 - 4t$

Solve each compound inequality and graph its solution.
3) $x - 2 > 5$ or $-4x \ge -16$
4) $0 \le n + 10 < 14$

Solve each inequality.
5) $|a + 5| > 3$
6) $|x - 3| \le 5$

Sketch the solution to each system of inequalities.
7) $x + 3y \le -9$
$4x - 3y < -6$
8) A manufacturer wants to maximize the profit from selling two types of boxed chocolates. A box of chocolate covered creams yields a profit of $1.50, and a box of chocolate covered cherries yields a profit of $2.00. Market tests and available resources have indicated the following constraints:
1. The combined production level should not exceed 1200 boxes per month
2. The demand for a box of chocolate covered cherries is no more than half the demand for a box of chocolate covered creams
3. The production level of a box of chocolate covered creams is less than or equal to 600 boxes plus three times the production level of a box of chocolate covered cherries

What is the maximum monthly profit?
How many boxes of each type should be produced per month to yield the maximum monthly profit?

Solve each inequality.
1) $-x^2 + 2x + 48 \le 0$
2) $-x^2 - 5x + 14 \ge 0$
3) $\frac{x - 6}{x - 7} \ge 0$
4) $\frac{x - 8}{x - 5} \ge 0$
5) $\frac{x + 3}{x - 4} \ge 0$
6) $\frac{x - 2}{x - 8} \le 0$

Sketch the graph of the piecewise function.
7) $w(x) = \begin{cases} x + 3, & x < 0 \\ (x - 2)^2, & 0 \le x \le 4 \\ x - 1, & x > 4 \end{cases}$

Perform the indicated operation.
8) $f(x) = 4x + 2$
$g(x) = 3x - 5$
Find $(f \cdot g)(x)$
9) $f(n) = 4n - 2$
$g(n) = 2n - 1$
Find $(f \cdot g)(n)$
10) $g(t) = t^2 - t$
$h(t) = -4t - 4$
Find $(\frac{g}{h})(t)$
11) $f(x) = -x^2 + 4x$
$g(x) = -2x$
Find $(2f - 4g)(x)$
12) $g(n) = 4n - 3$
$f(n) = -n^2 - 3$
Find $(g + f)(n - 2)$
13) $g(x) = 3x^3 - x$
$h(x) = 3x - 5$
Find $(g - h)(x^2)$

Find the inverse of each function.
14) $g(x) = \frac{2}{x - 1} - 1$
15) $f(x) = -3 - 2x^5$

Find the inverse of each function. Then graph the function and its inverse.
16) $f(x) = 4x + 16$

solve each inequality 1 4m 5 7 5 2m 2 5t 8t 5 35 4t solve each compound inequality and graph its solution 3 x 2 5 or 4x ge 16 4 0 le n 10 14 solve each inequality 5 a 5 3 6 x 3 le 5 sketch t 72097

Added by Alan F.

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