Answer:
17
Step-by-step explanation:
Evaluate the 2 expressions by substituting x = 2 , y = 3 into them
3x² - 2y
= 3(2)² - 2(3)
= 3(4) - 6
= 12 - 6
= 6
---------------------------
3y² - 2x
= 3(3)² - 2(2)
= 3(9) - 4
= 27 - 4
= 23
Then 23 - 6 = 17
The answer is x=13 because the equations equal each other
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:
![\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}](https://tex.z-dn.net/?f=%5Ctext%7BSimple%20Interest%7D%20%3D%20%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D%20%5C%5C%5C%5C%5Ctext%7B%20Total%20amount%7D%20%3D%20%5Ctext%7Bprinciple%7D%2B%20%20%5Ctext%7BSimple%20Interest%7D)
In question (1):
![Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5](https://tex.z-dn.net/?f=Principle%3D%20%5C%24%20600%5C%5CRate%20%3D%20%5C%208%20%5C%25%5C%5CTime%3D%20%5C%205)
In point a:
![\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240](https://tex.z-dn.net/?f=%5Cto%20%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D%20%5C%5C%5C%5C%5Cto%20%5Cfrac%7B%28600%20%5Ctimes%20%208%20%5Ctimes%205%29%7D%7B100%7D%5C%5C%5C%5C%20%5Cto%20%20240)
In point b:
![\to amount = principle \ +\ simple \ interest](https://tex.z-dn.net/?f=%5Cto%20amount%20%3D%20principle%20%5C%20%2B%5C%20simple%20%5C%20interest)
![= 600 + 240 \\\\= 840](https://tex.z-dn.net/?f=%3D%20600%20%2B%20240%20%5C%5C%5C%5C%3D%20840)
In question (2):
![Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6](https://tex.z-dn.net/?f=Principle%3D%20%5C%24%2012%2C450%5C%5CRate%20%3D%20%5C%207.25%20%5C%25%5C%5CTime%3D%20%5C%206)
In point a:
![\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75](https://tex.z-dn.net/?f=%5Cto%20%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D%20%5C%5C%5C%5C%5Cto%20%5Cfrac%7B%2812%2C450%20%5Ctimes%20%207.25%20%5Ctimes%206%29%7D%7B100%7D%5C%5C%5C%5C%20%5Cto%20%205%2C415.75)
In point b:
![\to amount = principle \ +\ simple \ interest](https://tex.z-dn.net/?f=%5Cto%20amount%20%3D%20principle%20%5C%20%2B%5C%20simple%20%5C%20interest)
![= 12,450 + 5,415.75 \\\\= 17,865.75](https://tex.z-dn.net/?f=%3D%2012%2C450%20%2B%205%2C415.75%20%5C%5C%5C%5C%3D%2017%2C865.75)
The 3 question is incomplete, that's why it can't be solved.
Answer:
18 since 3 = 10% & 10% = 1/6 of 60% which means 3 * 6 = 18
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given equation is of the form ...
ax² +bx +c = 0
where a=2, b=-1, c=-8.
The quadratic formula gives the solution to the above equation as ...
![x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
So, for your equation, the solution is ...
![m=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-8)}}{2(2)}=\dfrac{1\pm\sqrt{65}}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-%28-1%29%5Cpm%5Csqrt%7B%28-1%29%5E2-4%282%29%28-8%29%7D%7D%7B2%282%29%7D%3D%5Cdfrac%7B1%5Cpm%5Csqrt%7B65%7D%7D%7B4%7D)
Comparing this to the form ...
![m=\dfrac{N\pm\sqrt{D}}{M}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7BN%5Cpm%5Csqrt%7BD%7D%7D%7BM%7D)
we see ...