Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x




That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
y=1
Step-by-step explanation:
Given function y=m(x)
The question is to find the y value where x equals -2 so the easiest way is to plus x=-2 in the graph, we can get y=1.
Hopefully this helps, if you have any questions please feel free to ask them in the comment section below, I'll be more than happy to answer!
Answer:
Step-by-step explanation:
Because then the value on the other side will be unbounded by the infinity sign while expressing the answers on a number line.
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Which list shows the integers in order from lest to greatest ? -8 , -5 , 0 , 2 , 6 0 , 2 , -5 , 6 , -8 -5 , -8 , 0 , 2 , 6 0 , -
Elina [12.6K]
Answer:
a.-8,-5,0,2,6
Step-by-step explanation:
We have to find the list which shows the integers in order from least to greatest.
We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.
a.-8,-5,0,2,6
-8<-5<0<2<6
Hence, it is true.
b.0,2,-5,6,-8
-8 least and 6 is greatest
Therefore, it is false.
c.-5,-8,0,2,6
It is false.
d.0,-8,-5,2,6
It is false.
Option a is true,