First, let's simplify the expression: 7 - 5 + 3x - 1 ⇒ 3x + 1 <em>(slope=3, y-intercept = 1)</em>
Next, let's understand what they are asking for:
<u>no solutions</u> means same slope but different y-intercepts
Answer: 3x + _______ (the blank can be anything except 1)
<u>one solution</u> means different slopes
Answer: ________x + _______ (the first blank can be anything except 3, the second blank can be anything)
<u>infinitely many solutions</u> means same slope and same y-intercept
Answer: 3x + 1
One of the bottles has a greater total volume than the other. for example, if one bottle is 20 ounces and the other is 100 ounces, when the 100 ounce bottle is 3/4 full there are 75 ounces of fluid inside which is more than the total amount of fluid in the full 20 ounce bottle.
Answer:
The average number of customers per day during the sale was 150.
Step-by-step explanation:
This question can be solved using a rule of three.
Before the sale, the average number of customers per day was 120, which is 100% = 1.
Now, there are x customers, and since it is an increase of 25%, it is 100+25 = 125% = 1.25. So
120 - 1
x - 1.25
x = 1.25*120 = 150
The average number of customers per day during the sale was 150.
Answer:
x = 3
Step-by-step explanation:
It should NOT be "fight of the origin", rather "right of the origin".
Now let's move on to solve the question...
The x-intercept is found by setting the function equal to 0. Thus:
0 = x^3 - 9x
<em>Let's solve this using algebra:</em>
<em>
</em>
<em />
<em>Hence, x = -3 and x = 3</em>
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The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.
