Answer:
x = 5±√3
Step-by-step explanation:
Equation: (x-5)² = 3
Step 1: Take the square root of both side of the equation
√(x-5)² = ±√3
x-5 = ±√3
Step 2: add 5 to both side of the equation
x-5+5 = 5±√3
x = 5±√3
Hence, from the options above, the right answer is
B. x = 5±√3
Answer:
x < 1
Step-by-step explanation:
x - 4 < - 3
+ 4 +4 Do inverse operations by adding 4 on both sides
x < 1
Therefore, the answer is x < 1.
(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)
<------------------------------o------------------>
-4 -3 -2 -1 0 1 2 3 4
The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).
In order to solve this equation, you must focus your efforts on isolating x. First, add 4x to both sides of the equation. This will eliminate it on the left and cause the equation to look like this: 35=15+4x. Next, you need to subtract 15 from both sides <span>which will eliminate it on the right and cause the equation to look like this: 20=4x. Finally, you must divide both sides of the equation by 4. Ta-da!~ This leaves you with x=5.
The answer is x=5.
Good luck and good day! c:
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Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,

Option 2,

Option 3,

Option 4,

Option 5,

Answer:
the x-intercept is (-2,0) and the y-intercept is (4,0)
the slope (rise/run) is -1/2.
therefore the equation of the line is:
y=-1/2x+4