Answer:
The equation has no solution.
Step-by-step explanation:
Hi there!
First, let´s write the equation:
(√x + 3) + 6 = 3
To solve the equation, let´s subtract 6 to both sides of the equation:
√x + 3 = -3
subtract 3 to both sides of the equation:
√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).
Square both sides of the equation:
x = 36
Now, let´s check the solution:
(√x + 3) + 6 = 3
x = 36
(√36 + 3) + 6 = 3
(6 + 3) + 6 = 3
9 + 6 = 3
15 ≠ 3
Then, the equation has no solution.
Have a nice day!
Answer:
Option D
Step-by-step explanation:
The equation to predict the amount saved is
Assuming that the variable x represents the saving months, then substitute 
in the quadratic equation and solve for y.
The answer is the option D $5,825
Answer:
AFB, BDC, and FBD
Step-by-step explanation:
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
Answer:
1) after 4 weeks, Lin has more with $65
2) after 3 weeks they both have same amount
Step-by-step explanation:
let 'w' = number of weeks
1) <u>equation for Han</u>: y = 100 - 15w
y = 100 - 15(4)
y = 100 - 60
y = $40 after 4 weeks
<u>equation for Linn</u>: y = 25 + 10w
y = 25 + 10(4)
y = 25 + 40
y = $65 after 4 weeks
2) 100 - 15w = 25 + 10w
75 - 15w = 10w
75 = 25w
w = 3 weeks
