Add the polynomials. (3x3 - 3x2 - 4x + 9) +(6x2 +7x - 5)
1 answer:
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Cary's age is 9 years MORE than Dan's age.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.
Here is how we can express that:
You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.
Here is how we can express that:
You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
Before answering the exact question you sent, you have to understand one simple principle: there are two forms of a variable with a fraction as an exponent, exponential form and radical form.
Example:
![exponential\ form = x^{1/3}\\radical form = \sqrt[3]{x}](https://tex.z-dn.net/?f=exponential%5C%20form%20%3D%20x%5E%7B1%2F3%7D%5C%5Cradical%20form%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
If the exponent is a fraction, the denominator of the fraction is the number on the outside of the radical sign.
So, for #23, you would change![\sqrt[3]{a}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Ba%7D%20)
to 
. Then, because the a is the same after the 2 and the 3, you can add them up to get 
.
For #24, you'd do almost the same thing (change the radical-b's to
and 
. However, you can't add them up because the exponents are different (1/4 and 1/3), so you'd leave it as 
Example:
If the exponent is a fraction, the denominator of the fraction is the number on the outside of the radical sign.
So, for #23, you would change
For #24, you'd do almost the same thing (change the radical-b's to
Jack paid $ 23000 for the ring.
<u>Solution:</u>
Given that, Jack Matthew bought a new diamond ring for $20,000
Sales tax is 5% with a 10% excise tax
<em><u>To find: total price including taxes</u></em>
Given that sales tax is 5% of 20,000
Also given that excise tax is 10%
<em>Total price = cost price + sales tax + excise tax</em>
Total price = 20,000 + 1000 + 2000
Total price = 23000
Hence, jack paid $ 23000 for the ring.