Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
Answer:
D: 109 cm
Step-by-step explanation:
The formula of circumference is
Diameter =
Hence, circumference =
rounded of to 109.
Answer:
R=2
Step-by-step explanation:
2x2=4
Answer:
Should be 25
Step-by-step explanation:
<u>Answer:</u>
x = -4
<u>Step-by-step explanation:</u>
We are given the following word problem which we can solve by breaking it down into parts and translating it into numerical values:
Fourteen more than three times a number is 2.
1. Fourteen more than ---> + 14
2. three times a number ---> 3x (assuming the number to be x)
3. is 2 ---> = 2
So combining these, we get:
3x + 14 = 2
Solving this to get:
3x = 2 - 14
3x = -12
x = -12/3
x = -4
