Answer:
Inequality- 4p + 5 >-32
Step-by-step explanation:
Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:

We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:

Subtracting 1:

Dividing by -0.5:

We reach to this equation to solve:

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
The number of 0.4 liter glasses of water that will be poured in the pitcher is 13
From the information given, we are being told that a pitcher can hold a maximum amount of 5.2 liters of water.
If we are to use a 0.4 liter of glass to pour water in the pitcher, then the number of times we will use the glass to pour water in the pitcher can be estimated as:
Number of glass that can fill the pitcher = 5.2 liters/ 0.4 liters
= 13 glass
Learn more about solving word problems in mathematics here:
brainly.com/question/2121480?referrer=searchResults
<em>If a rectangular prism has a volume of 470.40 cm</em><span><em>³, and the length and width is equal to 6.4 and 9.8, we will find the height by using some inverse operations. We will use the variable h to represent height</em>
<em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• h = 470.40</em>
<em>470.40 ÷ (9.8 x 6.4)</em>
<em> = 470.40 ÷ 62.72</em>
<em> = 7.5</em>
<em>Check Answer:</em>
</span><em>Length x Width x Height = Volume</em>
<em>6.4 cm • 9.8 cm `• 7.5 = 470.40</em>
<u>Answer: 7.5 cm</u>