X^2 + 3x - 6

This is because x^2 and 3x have nothing they can combine with, leaving them as their own number. 1 + - 6 will give you -5 as adding to a negative only reduces not adds entirely.

Hope this helps!

8 0

3 years ago

Convert a recipe that serves 6 and calls for 3/4 cups of sugar to one that serves 20.

djyliett [7]

Answer:

5/2cups

Step-by-step explanation:

If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;

6recipe = 3/4cups

20recipe = x

Cross multiplying we have;

6x = 20×3/4

6x = 15

x = 15/6

x = 5/2

This means a recipe that serves 20 will call for 5/2cups

3 0

3 years ago

Your Aunt Matilda passes away and leaves you with the tidy sum of $50,000. You find a bank that will pay you 5.15 % per year com

ohaa [14]

Answer:

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

$P(t) = P_{0}*e^{it}$

If you pull out d dollars a year, the equation becomes:

$P(t) = P_{0}*e^{it}-d*t$

If we derive this equation in terms of t, we have

$P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\$

The first term can be transformed like this:

$i*P_{0}*e^{it} = i*P(t)$

So replacing in the differential equation, we have

$dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d$

Rearranging

$dP/dt-i*P(t)=-d$

5 0

3 years ago

Monica needs to increase her savings by 20%. If she has $85 already in her savings account, how much does she need to add?

Anarel [89]

20% = .2
85 x .2 = 17
she needs to add $17

6 0

3 years ago

Write each of the equations below in standard form (i.e. y = ax^2+bx+c y=ax ​2 ​​ +bx+c):

Write each of the equations below in standard form (i.e. y = ax^2+bx+c y=ax 2 +bx+c):