Answer:
Given that,
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.
Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.
Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.
Answer:
The answer to your question is 2184
Step-by-step explanation:
Data
Equation P(x) = 0.68x² - 0.048x + 1
x = years
population = 33984
Process
1.- Substitute the population in the equation
33984 = 0.84x² - 0.048x + 1
2.- Equal to zero
0.84x² - 0.048x + 1 - 33984 = 0
3.- Simplify
0.84x² - 0.048x - 33983 = 0
4.- Solve for x
x1 = 201.2
x2 = -201.2
Only x1 is correct because time can not be negative
5.- Calculate the year
Year = 1997 + 201
Year = 2184
Answer:
The simplified sum of these polynomials is 3x^4y - 2xy^5
Step-by-step explanation:
In order to find this, we need to remember that we can only add together like terms in this case, there are only two like terms. Both of the first terms end in x^2y^2. So, we add these two together.
3x^2y^2 - 3x^2y^2 = 0
Since they cancel out, we simply just put the other two terms as our answer.
3x^4y - 2xy^5
