Answer:
x ≤ -11.25 or x > -8.75
Step-by-step explanation:
The graph here shows a disjunction compound inequality, in which either of the statements is true. That is for the compound inequality to be true, either one or the other statement is true. The word "OR" is used in stating this inequality.
On the graph, the directed line to our left has a full circle which starts at -11.25.
This means x ≤ -11.25.
The other directed line to our right has an empty circle, and starts at -8.75.
This means x > -8.75.
✅The compound inequality representing the graph will be written as:
x ≤ -11.25 or x > -8.75
Answer:
I think it is 37.5°.
Step-by-step explanation:
Answer:
A reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (-x, y)
A point in the second quadrant (- x, y)
Under reflection in the y- axis is (x, y) ← point in first quadrant
Answer:
D
Step-by-step explanation:
I got it right on the instruction
EDGENUTIY 2021
NOT MY WORDS TAKEN FROM A SOURCE!
(x^2) <64 => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2 so (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y) You can work backwards and verify this is true. so let's set (x^2) - (8^2) equal to zero to find the roots: (x^2) - (8^2) = 0 => (x-8)*(x+8) = 0 if x-8 = 0 => x=8 and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0 so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.
Hope this helped!
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