Answer:
-7k = -45.5
Explanation:
You can solve this by plugging in the “k” to the problems that are listed.
If you were to plug 6.5 in for all those problems, you’d get:
-3(6.5) = -19.5
-1 + 6.5 = 5.5
-7(6.5) = -45.5
-2 + 6.5 = 4.5
So, in this case, looking at the ones I answered and looking at the problems listed, the correct answer would have to be -7k = -45.5.
(4x - 3)(2x - 1) ≥ 0
First, find the zeros:
4x - 3 = 0 2x - 1 = 0
x =
x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
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 ≥ ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Interval Notation: (-∞,
] U [
, ∞)
Graph: ←------
--------→
The coordinates of B are (14, -10).
<h3>How to find mid point?</h3>
The midpoint is already know . we can use it to find the coordinates of B.
Therefore,
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence,
M(5, - 4) and A(-4, 2)
The coordinates of B are as follows:
(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)
5 = -4 + x₂ / 2
10 = -4 + x₂
x₂ = 14
hence,
-4 = 2 + y₂ / 2
-8 = 2 + y₂
y₂ = - 10
Therefore, the coordinates of B are (14, -10)
Learn more about midpoint here: brainly.com/question/25377004
#SPJ1
The upside down U means the numbers the sets have in common.
Do what is in parenthesis first:
(B ∩ C) = 6 is the only common number in set B and Set C.
A ∩ (B ∩ C) = Would be all the numbers in A plus the number 6 from (B ∩ C).
The answer would be A) {1, 3, 5, 6, 7, 9}
Answer:
-4, -3
Step-by-step explanation: