Answer: option D -1,0,2
Step-by-step explanation:
2^x-2
When x=0
We have 2^0-2
1-2=-1
when x=1
We have 2^1-2
2-2=0
When x=2
We have 2^2-2
4-2=2
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Answer:
5 times more books
Step-by-step explanation:
In total Marisol has 75 books. She has 5 times as many books and Jerry has 15. 5*15=75
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
Answer: Marked Prixe = Rs. 1800
Step-by-step explanation:
Let the marked price be M
1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.
SP = 0.88M
CP - SP = 16
CP = 16 + SP
CP = 16 + 0.88M
2) If he had sold it at 10% discount he would have gained Rs 20.
SP = 0.9M
SP - CP = 20
0.9M = 20 + CP
CP = 0.9M - 20
16 + 0.88M = 0.9M - 20
0.9M - 0.88M = 20+16
0.02M = 36
36 = 0.02M
M = 1800
