Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.

Step 1: Divide by 5

x < 2

Step 2: Check

5(1) < 10

5 < 10✔️

Step 3: Check Again

Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.

5(-6) < 10

-30 < 10✔️

Step 4: Verified Answer

x < 2

I'm always happy to help :)

7 0

3 years ago

Read 2 more answers

Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.

AysviL [449]

Answer:

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = x² - $\frac{5}{3}$ x + $\frac{31}{36}$ ← is in standard form

with a = 1 and b = - $\frac{5}{3}$ , thus

$\frac{x}{vertex}$ = - $\frac{-\frac{5}{3} }{2}$ = $\frac{5}{6}$

Substitute this value into y

y = ( $\frac{5}{6}$ )² - $\frac{5}{3}$ ( $\frac{5}{6}$ ) + $\frac{31}{36}$

= $\frac{25}{36}$ - $\frac{25}{18}$ + $\frac{31}{36}$ = $\frac{1}{6}$

Since a > 1 then the vertex is a minimum, thus

minimum value = $\frac{1}{6}$ → A

3 0

3 years ago

Find the sales tax amount. purchase price = $121.65; tax rate = 11%

PolarNik [594]

You know 11% as decimal is 0.11 so you multiply 0.11 and $121.65 which is 13.38 so c is the correct answer rounded to the nearest hundredth

3 0

3 years ago

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the

Taya2010 [7]

You can use the pythagoras theorem.

20^2=5^2+x^2

x^2=400-25
x^2=375

x = 19.36

20-19.36=0.64 feet

The answer is 0.64 feet :)

5 0

3 years ago