Answer:
(-4, -8)
Step-by-step explanation:
Use the substitution method. x = -4, so y = (1/2)x - 6 becomes:
y = (1/2)(-4) - 6, or y = -2 - 6, or y = -8.
The solution is (-4, -8).
Answer:
B
Step-by-step explanation:
Angles in a triangle add up to 180
Take 45 + 90 then subtract the answer from 180
(4x - 3)(2x - 1) ≥ 0
First, find the zeros:
4x - 3 = 0 2x - 1 = 0
x =
x = 
Next, plot these points and choose test points on the outside and between the zeros:
←-------0------
------
------
------1------→
Lastly, plug in the test points and look for a positive result (since it is greater than 0).
Test Point 0: [4(0) - 3][2(0) - 1] = ( - )( - ) = + THIS WORKS!
Test Point
: [4(
) - 3][2(
) - 1] = ( - )( + ) = - <em>This does NOT work</em>
Test Point 1: [4(1) - 3][2(1) - 1] = ( + )( + ) = + THIS WORKS!
Answer: x ≤
or x ≥ 
Interval Notation: (-∞,
] U [
, ∞)
Graph: ←------
--------→
Answer:
7 1/2
Step-by-step explanation:
How many times does 6 fully go into 45?
7 times.
7 times 6 is 42, so subtract that from 45 and you will get 3/6 left over after finding 7 as a whole number.
simplify 3/6: 1/2