Answer: 4 and 8
Step-by-step explanation:
1. 12+7x=40
7x=28
x=4
2. 6x-3=45
6x=48
x=8
Answer:
The inequality is -3 < x < 2
The number line is included
Step-by-step explanation:
To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;
-3 < x < 2
We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)
Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;
-4 -3 -2 -1 0 2 1 2 3 4 5
With this type of graph with is called a Symetric Distribution graph, the mean iin the middle of the graph. the answer to your question is 50 is your mean. (and 50 is also your median)
The standard equation is y=ax^2+bx+k and the vertex way is y=a(x-h)(x-h)+x
so the coordinate for x is -b/2a, for your problem a=-4 b=-16 so the coordinate for x is -(-16)/(2*(-4))=-2. Now you have to replace x=-2 in your equation y=-4(-2)^2-16(-2)-11= 5.
The vertex is (-2, 5)
Answer:
50th term is -338
Step-by-step explanation:
Common difference d = -2-5 = -7
first term is a1 = 5
50th term
a50 = a1 + (n -1)d
a50 = 5 -7(50-1)
a50 = 5 -7(49)
a50 = -338
Hope this will helpful.
Thank you.