Answer:
See Below
Step-by-step explanation:
(x-3)-2 ≤ 1 (x-3)-2 ≥ -1
+2 +2 +2 +2
x-3 ≤ 3 x-3 ≥ 1
+3 +3 +3 +3
x ≤ 6 and x ≥ 4
Answer:
d = 6
Step-by-step explanation:
3(2d-8)=11d-18(d-3)
6d - 24 = 11d -18d +54
6d-11d+18d = 24+54
13d = 78
d = 6
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Answer:
First consider the original amount.
Then consider the rate of tax or markup
To find the tax or markup, multiply the rate by the original amount.
To find the total cost, add the tax or markup to the original amount.
Step-by-step explanation:
Example
A phone has a listed price of $790 before tax. If the sales tax rate is 6.5% find the total cost of the phone with sales tax included. Round your answer to the nearest cent as required.
Solution
Step 1:
List price of the phone = $790
Sales tax rate = 6.5%
Step 2:
Sales tax = 6.5% of 790=0.065×790=51.35
Step 3:
Total cost of phone including sale tax = list price + sales tax
= 790+51.35
= $841.35
hope this helped!
Answer: 7x+y+8
Step-by-step explanation:
Combining like terms is just like what it sounds. You take the like terms, or terms that have the same variables and such, and add them together.
For this problem, we can see that 12x and -5x are like terms because they both consist of a numerical coefficient and the variable x.
We can see that -3y and 4y are like terms because they both have a numerical coefficient and y for variable.
Now, we can combine like terms.
12x-3y+8-5x+4y [combine like terms]
7x+y+8
Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:

Rewriting this in standard form,
