Hello there!
4(3x - 11) + 23 = 5x - 14
Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44
We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21
12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0
7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7
7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1
We are now left with the following solution:
x = 1
I hope this helps!
Answer:
a\b
Step-by-step explanation:
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The domain: {-4; -1; 0; 2; 4}
The range: {-2; 0; 1; 3}
Yes. The relation is a function.
<h3>
Answer: a < 14 (Choice B)</h3>
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Explanation:
Add 4 to both sides
a-4 < 10
a-4+4 < 10+4
a < 14
The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.
Answer:
good news, the second one is relatively easy because it can be factored to (2x+1)(2x-3) which means that number two has solutions of -1/2 and 3/2
but for number one you have to either use the quadratic equation cause I've tried using synthetic division or just use the second equation to derive the first solutions so I tried move the graph up by two units and found that the intercepts are approximately (1+-√2)/2 or 1/2+-1/√2 for 4x^2-4x-1
