Ok this inequality tells you the number of devices you can have before the new plan costs more than the old plan. The new plan expression is $4.50x + $94m = y ( total cost). The old plan is $175m = y (total cost). You can see m (number of months) in both equations, you don't need it this time since we're going to to compare both to one month. Since they're both equal to y you can make them equal to each other. $4.50x + $94 = $175. Now you want to figure when the new plan is less than the old plan you switch the equal sign for a less than sign. $4.50x + $94 < $175; this will help you find the inequality you want. From there just use algebraic steps to find that x has to less than 18 or
x < 18.
By the remainder theorem of polynomial division, the complete equation is f(-3) = 11
<h3>How to complete the blanks?</h3>
The equation is given as:
f(x)/x + 3
Set the divisor to 0
x + 3 = 0
Solve for x
x = -3
Given that the quotient has a remainder of 11.
It means that:
f(-3) = 11
Hence, the complete equation is f(-3) = 11
Read more about remainder theorem at:
brainly.com/question/13328536
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Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
To solve the equation, you need to treat the two cases as above:
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for <em>h</em>
- Cross multiply: 22.5 = 6h
- Divide both sides by 6: 3.75 = h
- Rewrite: h = 3.75
Step 3: Check
<em>Plug in h to verify it's a solution.</em>
2.5/6 = 3.75/9
0.416667 = 0.416667