Answer:
n * 2 - 3
Step-by-step explanation:
Let's say n is the number of minutes Mike ran then the expression would be
n * 2 - 3
An = a1 * r^(n-1)
-405 = -5*3^(n-1)
3^(n-1) = 81
3^4 = 81 so n-1 = 3 and n = 4
Sn = S4 = -5 (1 - 3^4) / ( 1 - 3) = 400 / -2 = -200 Answer
A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first
√625- 96 = √529
Now set up two equations
(10 + √529) ÷2 = x = 16.5
(10 - √529) ÷2 = x = -6.5
So therefore x = 16.5 and -6.5
For the answer to the question above asking, w<span>hat was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is t</span><span>he next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve,
</span> .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is
241 cans of juice
Answer:
Step-by-step explanation:
we would like to figure out the differential coefficient of 
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,
to do so distribute:
take derivative in both sides which yields:
by sum derivation rule we acquire:
Part-A: differentiating $e^{2x}$
the rule of composite function derivation is given by:
so let g(x) [2x] be u and transform it:
differentiate:
substitute back:
Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:
let
substitute
differentiate:
Final part:
substitute what we got:
and we're done!
