Answer:
The √125 can be factored out to 25 and 5 then 25 can be factored out to 5 and 5. Then you pair up the numbers, you have a pair of 5's and a 5 left over. So the pair of 5's goes inside the radical as √5 and on the outside of the radical you have 5×3. So 3√125≈15√5.
Step-by-step explanation:
please give me branlyist
8x + 5 - (4x + 2)
= 8x - 4x + 5 - 2
= 4x + 3
2.
This is a binomial ( contains 2 terms)
Answer:
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Step-by-step explanation:
Let
x -----> the amount invested at 4%
(21,000 -x) ----> the amount invested at 10%
we know that
The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870
so
Solve for x
therefore
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Answer:
Multiply x + y = 3 by 3 and add it to -3x - 2y = -7
Step-by-step explanation:
When using elimination to solve a system of equations, you multiply one equation by some number. The reason for doing this is that when you add it to the second equation, you want one variable to cancel out. When one variable cancels out (in this case x), you can solve for the other variable (in this case y). I will show this:
3(x + y = 3) = 3x + 3y = 9
3x + 3y = 9
+ -3x + -2y = -7
---------------------------
y = 2
Now, knowing that y = 2, you can substitute y=2 into either equation to solve for x.
-3x - 2(2) = -7
-3x -4 = -7
-3x = -3
x = 1 | to double check (1, 2) as your answer plug these values into both equations
Finding this solution would not have been possible if not for cancelling out the x's above. The other three are wrong because none of the other options cancels out one of the variables.
1. x >= 4, because 4 is dotted, and that means that 4 is included
2. x =/ 4, the third answer is correct, because all numbers except 4 are included
3. the first number line is the correct answer, because -3 is not included
4. the second number line is the correct answer, because -1 is included
5. the second number line is the correct answer, because 6 is not included
6. the first number line is the correct answer, because 0 is included
7. the second number line is the correct answer, because all numbers except -4 are included
8. the third number line is the correct answer, because -1,5 is included
When a number is included in an interval, it should have full dot on the number line, so that's how you know.
Hope this helps!
