Answer:
(4,5)
Step-by-step explanation:
The vertex is written in vertex form.
y = a(x - b)^2 + c
Vertex: (b,c) Notice the sign change on b.
So for your equation, you get (4,5) No sign change on the 5.
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
<h3>Good luck.</h3>
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Answer:
C = commutative property of Addition
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.