Answer:
|-3| = 3 and -|-4| = -4
Step-by-step explanation:
The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.
|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true
|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false
-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false
|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false
__
<em>Additional comment</em>
A compound "and" statement is only true if <u>all</u> of the parts of it are true.
<span>2x + 4y = 36
3x - 4y = -6
--------------add
5x = 30
x = 6
</span>2x+4y=36
2(6)+4y=36
12 + 4y = 36
4y = 24
y = 6
answer
<span>(6, 6) is a solution of equations
</span><span>(4,7) is NOT a solution of equations</span>
Answer:
4(x-7)^2-(x-7)+3 (Assuming t is f)
Step-by-step explanation:
Let s(x)=x-7 and t(x)=4x^2-x+3 .
(t o s)(x)=t(s(x))=t(x-7)
Before I continue this means replace the orginal x in t with x-7.
This will then give you
4(x-7)^2-(x-7)+3
Answer:
Equivalent to a), b), and d). It is NOT equivalent to c).
Step-by-step explanation:
6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!
Answer:
−3 < x ≤ 1
Step-by-step explanation:
The domain of a function is the set of x-values.
In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.
The closed circle at (1, 2) means this is the endpoint and part of the segment.
This means the x-values range from almost -3 up to and including 1; this gives us the inequality
−3 < x ≤ 1