The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
The function is y = IxI + 9
Step-by-step explanation:
Let us revise the translation of a function
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ y = IxI
∵ The graph of the function is shifted 9 units up
- That means the graph of the function is translated 9 units, up
∵ The equation of the function f(x) whose graph shifted k units
up is f(x) + k
∵ k = 9
∴ The equation of the function is y = IxI + 9
The function is y = IxI + 9
Look to the attached figure for more understand
Learn more:
You can learn more about the translation in brainly.com/question/2451812
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Answer:
They don't all share none. Unless you count 1
Step-by-step explanation:
35 is only divisible by 5 and 7
<h2>Given:</h2>
<h2>To find:</h2>
m∠EFH
<h2>Solution:</h2>
we know that the sum of all the angles on one side of a straight line = 180°
so,
- m∠EFH +m∠HFG = 180°
- m∠EFH +71° = 180°
- m∠EFH = 180°-71°
- m∠EFH = 109°
hence , option <em><u>c </u></em>⇴<em><u>109°</u></em> is correct
How many nachos is there to start with