Answer: <em>(-2, -1) and (3, 14).</em>
Step-by-step explanation:
![\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5CBigg%20%5C%7B%20%7B%20%5Cbigg%7By%3Dx%5E%7B2%7D%20%2B2x-1%7D%20%5Catop%20%20%5Cbigg%20%7By-3x%3D5%7D%7D%20%5Cright.%20%3B%20%5Cleft%20%5CBigg%20%5C%7B%20%7B%20%5Cbigg%7By%3Dx%5E%7B2%7D%20%2B2x-1%7D%20%5Catop%20%20%5Cbigg%20%7By%3D5%2B3x%7D%7D%20%5Cright.)
<em>x² + 2x - 1 = 5 + 3x</em>
<em>x² + 2x - 1 - 5 - 3x = 0</em>
<em>x² - x - 6 = 0</em>
<em />
<em />
<em>y = 5 + 3x</em>
<em>y₁ = 5 + 3 * (-2) = -1</em>
<em>y₂ = 5 + 3 * 3 = 14</em>
<em>The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).</em>
Answer: 0.81
Step-by-step explanation:
=27⋅((3^3)^−1)
Do the brackets first:
3^3 is the same as 3³ so it is <u>27</u>
then:
27^-1 equals <u> 0.03</u>
And lastly:
multiply 27 and 0.03
27(0.03)=<em><u>0.81</u></em>
Let the original number be x.
Acc. to the question,
2x+1616=(2/5)x
or, 10x+8080=2x
or, 10x-2x= -8080
or, 8x= -8080
or, x= -8080/8
or, x = -1010
Therefore, the original number is -1010
Answer:
56kg
Step-by-step explanation:
This question is pretty simple. First you want to divide 1120 by 20.
This will give you the answer of 56.