Answer:
x=-16/3 (-5.33)
Step-by-step explanation:
3(x-2)+4x=10(x+1)
3x-6+4x=10x+10
7x-6=10x+10
-6-10=10x-7x
-16=3x
x=-16/3
Answer:
1/4
Step-by-step explanation:
The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.
4 ÷ 4 = 1
16 ÷ 4 = 4
Therefore, the answer is 1/4.
To calculate the relative vector of B we have to:
![P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]](https://tex.z-dn.net/?f=P_B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C3%5C%5C-2%5C%5C3%2F2%5Cend%7Barray%7D%5Cright%5D)
The coordenates of:
, with respect to B satisfy:
![C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3](https://tex.z-dn.net/?f=C_1%281%29%2BC_2%282t%29%2BC_3%28-2%2B4t%5E2%29%2BC_4%28-12t%2B8t%5E3%29%3D%207-12t-8t%5E2%2B12t%5E3)
Equating coefficients of like powers of t produces the system of equation:
![\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7BC_1-2C_3%3D7%7D%20%5Catop%20%7B2C_2-12C_4%3D-12%7D%20%5Cright.%20%5C%5C%5Cleft%20%5C%7B%20%7B%7B4C_3%3D-8%7D%20%5Catop%20%7B8C_4%3D12%7D%7D%20%5Cright.)
After solving this system, we have to:
![C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}](https://tex.z-dn.net/?f=C_1%3D3%5C%5CC_2%3D%203%5C%5CC_3%3D%20-2%5C%5CC_4%3D%20%5Cfrac%7B3%7D%7B2%7D)
And the result is:
![P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right]](https://tex.z-dn.net/?f=P_B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C3%5C%5C-2%5C%5C3%2F2%5Cend%7Barray%7D%5Cright%5D)
Learn more: brainly.com/question/16850761
8.454 is 3 tenths more than 8.154
3.625 is 2 and 2 tenths more than 1.425
Place values after the decimal point are tenths, hundredths, thousandths, ten thousandths...so on.
So 3 tenths looks like this 0.30 ⇒ 3 is in the tenths place. When you say 3 tenths more, it is a clue that the operation to be done is addition. thus,
8.154
<u>+ 0.30
</u> 8.454 * in addition or subtraction, the decimal points must be aligned to avoid confusion.
2 and 2 tenths is like this 2.20 ⇒ 1st 2 is in the ones or units place and the 2nd 2 is in the tenths place. Again it states more than so addition must be done.
1.425
<u>+ 2.20</u>
3.625
<u>
</u>