Answer:
C.
Step-by-step explanation:
We can off-the-bat eliminate choices A and B, because the first part of the quadratic formula is a -b. Therefore, the value for b in the quadratic has to be a positive, because the value in the formula is negative. This leaves us with choices C and D. If you look at the discriminant, you will see that our <em>a </em>in the quadratic formula is 3, so your answer choice is C.
It should be the answer- 3-2y
Answer:
Option c, d and e are equivalent expressions to 7x-14
Step-by-step explanation:
Which expressions are equivalent to 7x - 14
Equivalent Expressions:
<em>The expressions that are the same, even if the expression looks different.</em>
<em>For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4</em>
Now, finding equivalent to expressions 7x - 14
Option a) 14 - 7x
Not equivalent to 7x-14
Option b) x-2
Not equivalent to 7x-14
Option c) -(14 – 7x)
Simplifying: -14+7x so, equivalent to 7x-14
Option d) (x - 2)
Simplifying: 7x-14 so, equivalent to 7x-14
Option e) - 14 + 4x
Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14
Option f) 2x - 10 + 5x + 4
Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14
So, Option c, d and e are equivalent expressions to 7x-14
Answer:
2071
Step-by-step explanation:
Since, the decline model follows exponential- decay model
thus,
Here,
P₀ is the initial consumption
t is the time in years
P is the consumption after t years
k is the decay constant
now,
1985 is the base year, thus for year 1985; t = 0
at t = 0, P = 80
Therefore,
or
P₀ = 80 pounds
also,
in the year 1996 i,e t = 1996 - 1985 = 11 years
P = 67 pounds
thus,
or
0.8375 = 
taking the log both sides, we get
-0.177 = 11k
or
k = - 0.01612
Therefore,
For P = 20 pounds per person
we have
or
0.25 = 
taking natural log both the sides, we get
-1.3863 = (- 0.01612 )(t)
or
t = 85.99 ≈ 86 years
Hence,
the year will be 1985 + 86 = 2071
