4x + 6 = -10<span>Simplifying
4x + 6 = -10
Reorder the terms:
6 + 4x = -10
Solving
6 + 4x = -10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 4x = -10 + -6
Combine like terms: 6 + -6 = 0
0 + 4x = -10 + -6
4x = -10 + -6
Combine like terms: -10 + -6 = -16
4x = -16
Divide each side by '4'.
x = -4
Simplifying
x = -4</span>
Answer:
It’s A
Step-by-step explanation:
just did this
I'll go over part A.
What's happening is that we are plugging some unknown number x into the function, and getting -1 as the result. The function rule is 3*x-7 which translates to "multiply the input number by 3, then subtract off 7"
Notice how multiplication comes first and then we subtract. This is following the order of operations PEMDAS (some books may call it BEDMAS depending on your region). The M for multiplication comes before the S for subtraction.
To isolate x, we follow the order of operations in reverse. We undo the "subtract off 7" then we undo the "multiply by 3"
So this is how it all works out
f(x) = 3x-7
-1 = 3x-7 .... replace f(x) with -1
3x-7 = -1
3x-7+7 = -1+7 ... add 7 to both sides to undo the "-7"
3x = 6
3x/3 = 6/3 ... divide both sides by 3 to undo the "multiplication"
x = 2
Therefore, if the input is 2, then output is -1
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Let's plug x = 2 into the function and see what happens
f(x) = 3x-7
f(2) = 3*2-7 .... replace x with 2
f(2) = 6-7 .... multiply
f(2) = -1 .... subtract
The input x = 2 leads to the output -1
So this confirms that x = 2 is the proper answer for part A
The absolute value of 3 and the absolute value of negative 3. they have the same distance from 0
The price of the board game before the markup is $21.50.
<h3>
What is the cost before the markup?</h3>
Percentage can be described as a fraction an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
When the price of an item is marked up, it means that the price of the item has been increased by a predetermined percentage. In this question, the price of the board game is increased by 25%.
Price of the item before the mark up = price the retailer sells / ( 1 + percentage)
$26.88 / 1.25 = $21.50
To learn more about percentages, please check: brainly.com/question/25764815
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