Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
BOD MAS is the most important rule of Mathematics.The rule to any mathematical scenario is Brackets,Order, Division(÷), Multiplication,Addition and Subtraction. Division has as the two dots denotes a numerator and a denominator. Numerator is lower then denominator but sometimes it can be other way around.
Step-by-step explanation:
- 2 ÷ 2 When you divide 2 by another number 2 the answer is 1.
- Any number divide by the same number is 1
- If 5 ÷ 2 , 5 portion is divided by 2 so we take 2 and result 4.
- Reminder comes 1 as 4 does not equal to 5 and 4 can't go beyond 5.
- Division means divide the group in two equal parts.
- Long division is the operation which goes in process steps by steps.
- Divisible by means one number is equally divisible by other number.
Answer:
The midline of the function is y = 2.
Step-by-step explanation:
Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
The midline of a sinusoidal function passes exactly in the middle of its extreme values.
Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.
<em>midline = max value − amplitude</em>
<em>midline = min value + amplitude</em>
According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.
So, the midline is
<em>midline = max value − amplitude</em>
<em>midline = </em>5.5 − 3.5 = 2
Answer:
Step-by-step explanation:
If you want to factor this, you have to use the quadratic formula to do so.
For us, it looks like this:
which simplifies to
Since it breaks every mathematical rule to have a negative number under an even index radical, we have to deal with that using the imaginary "i". You should know at this point that
so we will do a rewrite on that equation above:
which simplifies further to
This is the answer but we can separate it into its proper standard form which is
and
Answer:
5:1
Step-by-step explanation:
30:6 divided by 6 is 5:1