Hello! To turn a fraction into a decimal you divide the numerator by the denominator so in this case it would be 3 divided by 8 which is 0.375. To get the percent you go based off of the decimal. You move the decimal point two places to the right so the percent for 3/8 would be 37.5%. I'm not sure what they mean by visual representation though, I am very sorry.
Answer:
The first graph will be correct.
Step-by-step explanation:
The given inequality is y + 5 < x .......... (1)
Now, straight-line y + 5 = x will be the reference line of the solution of the given inequality (1).
Now, y + 5 = x
⇒ x - y = 5
⇒ ......... (2)
This equation is in intercept form and the straight line will pass through the points (5,0) and (0,-5)
Now, point (5,0) does not satisfy inequality (1) and hence, the line (2) is not included in the solution of the inequality (1).
Now, (0,0) point is above the line (2), but (0,0) point also does not satisfy inequality (1) as .
Therefore, the solution of the inequality is below the line (2) but not including the line.
Hence, the first graph will be correct. (Answer)
When you have 10 to a power the number after will give you the numbers of zeros you need to add or the amount of numbers you have to move the decimal to the left or right.
Answer: which is the same as
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
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Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion sticks around to make sure the domains line up properly.
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Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So,