Answer: (-6,-5)
Step-by-step explanation:
2x - 2y = -2 ............ equation 1
3x - y = -13 ................ equation 2
solving by substitution method
from equation 2 , make y the subject of the formula, we have
y = 3x + 13 .............. equation 3
substitute equation 3 into equation 1 , we have
2x - 2 (3x + 13 ) = -2
2x - 6x - 26 = -2
-4x - 26 = -2
-4x = -2 +26
-4x = 24
x = 24/-4
x = -6
substitute x = -6 into equation 3 to get the value of y , we have
y = 3(-6) + 13
y = -18 +13
y = -5
Answer:
A rhombus
Step-by-step explanation:
A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.
The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.
The formula for exponential decay is y = a(1 - b)^x
y is the final amount.
a is the initial amount, which is $30,000 in this case.
(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.
b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.
x is the number of years.
3+4 = 7. 19/7 = 2.71
5+6 = 11. 41/11 = 3.73
1+3 = 4. ?/4 = 4.75 <--- Following the pattern of +1.02 (2.71+1.02=3.73, therefore 3.73+1.02=4.75
We still need (?) ... ?/4=4.75 we can re-write this as 4(4.75)=?
4(4.75) = 19 (4x4=16, 4x0.75=3, 16+3=19)
Therefore, 1+3=19.
2x^3 + 2x^2 + 5x + 1/ x^2