Answer:
x = 6 and x = 11.
Step-by-step explanation:
sqrt(x - 2) + 8 = x
sqrt(x - 2) = x - 8
(sqrt(x - 2))^2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 16x + 64 = x - 2
x^2 - 17x + 66 = 0
We can use the discriminant to find whether there are solutions to the equation.
b^2 - 4ac; where a = 1, b = -17, and c = 66.
(-17)^2 - 4 * 1 * 66
= 289 - 264
= 25
Since the discriminant is positive, we know there are two valid solutions to the equation.
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
The solutions are when x - 6 = 0 and x - 11 = 0.
x - 6 = 0
x = 6
x - 11 = 0
x = 11
Hope this helps!
This is a geometric sequence problem.
You have a sequence of;
2/3, 2, 6, 18, 54
Their common ratio is t1/t0 = 2/(2/3) = 3
Formula for G.P n terms is denoted by
ar^(n-1) = nth term
Where;
a - first term
r - common ratio
n - nth term in the sequence
So the exponential formula is basically that.
Example
To find the 3rd term which is 6
ar^(n-1) = (2/3)(3)^(3-1)
-> (2/3)(3)²
-> (2/3)(9)
-> (2)(3)
-> 6
Answer:
Around 8.8
Step-by-step explanation:
This problem requires the Pythagorean Theorem. We are given the hypotenuse and a leg, so we can plug in what we know.
Answer:
3 Bracelets and 7 stickers
Step-by-step explanation:
(1.50*3)+(1*7)=11.50
3+7=10
First you need to find the variables then do the exponents. Now you can continue solving.
