Answer:
yes because every time x changes y changes the same amount
Step-by-step explanation:
So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:
<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>
- -10 | 1 + 2 - 82 - 28
- ---------------------------
Now firstly, drop the 1:
- -10 | 1 + 2 - 82 - 28
- ↓
- -------------------------
- 1
Next, you are going to multiply -10 and 1, and then combine the product with 2.
- -10 | 1 + 2 - 82 - 28
- ↓ - 10
- -------------------------
- 1 - 8
Next, multiply -10 and -8, then combine the product with -82:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80
- -------------------------
- 1 - 8 - 2
Next, multiply -10 and -2, then combine the product with -28:
- -10 | 1 + 2 - 82 - 28
- ↓ -10 + 80 + 20
- -------------------------
- 1 - 8 - 2 - 8
Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).
<u>Putting it together, the quotient is </u>
Answer:
Step-by-step explanation:
5x = 30
If there are 5 students in a row, find the number of rows given that the number of total students is 30.
Here 'x' represents the number of row
The formula for the volume of a box (assuming that it is in the shape of a cube) is <u>V=B^3</u>.
12=B^3
Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.
B= about 2.29 (when doing on a calculator keep full answer and do not round)
Now to find the volume of box B, multiply each dimension by 5
5(2.29...) times 5(2.29...) times 5(2.29...)
=1,500 m^3
Hope this helps!
You are given Richard’s piano practice for 3 piano solos. Every piano sol
he makes takes 5/12 hour. You are asked to find how long Richard is going to
practice his piano solo. So we have for every 1 piano solo he makes this is
equal to 5/12 hours. This can be best represented by ratio and proportion.
1 piano solo/(5/12 hour) = 3 piano solo/(number of hours)
Number of hours = 3 piano solo/ (1 piano solo/5/12 hours)
<u>Number of hours = 5/4 hours or 1.25 hours.</u>