All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
6 7/8
Step-by-step explanation:
Take a quick look at those fractions. The LCD here is 8. We'll leave 4 5/8 as is, but change 2 1/4 to 2 2/8.
Now we'll add together:
4 5/8
+ 2 2/8
-----------
6 7/8
Answer:
2) x=-4 y=4 4) x=0 y=-4
Step-by-step explanation:
<em>2)</em> Step: Substitute x+8 for y in y=−4x−12:
y=−4x−12
x+8=−4x−12
x+8+4x=−4x−12+4x (Add 4x to both sides)
5x+8=−12
5x+8+−8=−12+−8 (Add -8 to both sides)
5x=−20
5x
/5 = −20
/5 (Divide both sides by 5)
x=−4
Step: Substitute −4 for x in y=x+8:
y=x+8
y=−4+8
y=4 (Simplify both sides of the equation)
Answer:
x=−4 and y=4
<em>4) </em>Step: Substitute 3x−4 for y in y=x−4:
y=x−4
3x−4=x−4
3x−4+−x=x−4+−x (Add -x to both sides)
2x−4=−4
2x−4+4=−4+4 (Add 4 to both sides)
2x=0
2x/2 = 0
/2 (Divide both sides by 2)
x=0
Step: Substitute 0 for x in y=3x−4:
y=3x−4
y=(3)(0)−4
y=−4 (Simplify both sides of the equation)
Answer:
x=0 and y=−4
Answer:
A. (-1, -4)
Step-by-step explanation:
The vertex can be found by converting the equation from standard form to vertex form.
<h3>Vertex</h3>
Considering the x-terms, we have ...
y = (x^2 +2x) -3
where the coefficient of x is 2. Adding (and subtracting) the square of half that, we get ...
y = (x^2 +2x +(2/2)^2) -3 -(2/2)^2
y = (x +1)^2 -4
Compare this to the vertex form equation ...
y = a(x -h)^2 +k
which has vertex (h, k).
We see that h=-1 and k=-4. The vertex is (h, k) = (-1, -4).
On the attached graph, the vertex is the turning point, the minimum.
I am thinking it will be d . Functions
