Answer: C
Step-by-step explanation:
Simplify to 4x^2 + 12x + 5 = 0 so that all the terms are on one side.
Do a part of the quadratic formula to see.
You only need to do the part. If it is negative, that means there are irrational solutions. If it is positive, it has two solutions. If it is 0, it has 1 solution.
It is positive so it has two solutions.
Answer:
The salesperson called 200 people this month.
Step-by-step explanation:
Let us denote the total people that the salesperson called by a variable "x".
Then,
The ratio of successful signups(success ratio) is given as=0.625
Then total no. of successful signups is the product of the success rate and the total no. of signups ,
i.e. Total successful signups =
According to the data given in the question,
The total no. of successful signups this month =125
or ,
or,
∴x= 200
So, the salesperson called 200 people, out of which only 125 signed up.
Answer:
-4 < x ≤ -3
Step-by-step explanation:
The compound inequality needs to be separated into its two parts in order to obtain a solution.
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We can do a little preliminary work to make the solutions easier.
2x +6 ≤ x +3 < 3x +11 . . . . . given
x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3
<h3>left side</h3>x +3 ≤ 0
x ≤ -3 . . . . . . . subtract 3
<h3>right side</h3>0 < 2x +8
0 < x +4 . . . . divide by 2
-4 < x . . . . . . subtract 4
<h3>solution</h3>Now, we can rearrange these back into a compound inequality.
-4 < x ≤ -3
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The graphing calculator shows the same solution.
