Answer: The remainder will be 5 only.
Explanation:
Since we have given that
![f(x)=3x^4+2x^3-x^2+2x-19](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4%2B2x%5E3-x%5E2%2B2x-19)
and
![g(x)=x+2](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B2)
Now, using the division algorithm, we'll get,
![f(x)=g(x)\times (3x^3-4x^2+7x-12)+5](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29%5Ctimes%20%283x%5E3-4x%5E2%2B7x-12%29%2B5)
When we compare it with division lemma, which says that
![f(x)=g(x)\times q(x)+r(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29%5Ctimes%20q%28x%29%2Br%28x%29)
We get,
![r(x)=5](https://tex.z-dn.net/?f=r%28x%29%3D5)
Hence, the remainder will be 5 only.
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
<h3>How to simplify the expression?</h3>
The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
Read more about expressions at
brainly.com/question/723406
#SPJ1
Answer:
1%
Step-by-step explanation:
We need our two numbers to have the same units. Since one number is in cents and the other is in dollars, we should change one of them. It could be either one.
Both numbers in cents:
50/4000
OR, both numbers in dollars:
.50/40.00
Either of these will work. Divide, you will get a decimal answer. Then multiply by 100 to change to a percent.
50÷4000 (OR .5/40)
= 0.0125
times by 100
0.0125 × 100
= 1.25% but the directions said to round to the nearest whole number, that's 1%
Answer:
Step-by-step explanation:
-10m + 35 + 5 = 120
-10m + 40 = 120
-10m = 80
m = -8
Answer:
-0.6
Step-by-step explanation:
2.8-0.6=2.2
2.2-0.6=1.6
1.6-0.6=1
Please mark as Brainliest! :)
Have a nice day.