Answer:
![\large\boxed{(f-g)(x)=-3x^2-x-4}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3D-3x%5E2-x-4%7D)
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29)
![f(x)=-4x^2-6x-1,\ g(x)=-x^2-5x+3\\\\(f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\(f-g)(x)=-4x^2-6x-1-(-x^2)-(-5x)-3\\\\(f-g)(x)=-4x^2-6x-1+x^2+5x-3\qquad\text{combine like terms}\\\\(f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\(f-g)(x)=-3x^2-x-4](https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E2-6x-1%2C%5C%20g%28x%29%3D-x%5E2-5x%2B3%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-4x%5E2-6x-1%29-%28-x%5E2-5x%2B3%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-4x%5E2-6x-1-%28-x%5E2%29-%28-5x%29-3%5C%5C%5C%5C%28f-g%29%28x%29%3D-4x%5E2-6x-1%2Bx%5E2%2B5x-3%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-4x%5E2%2Bx%5E2%29%2B%28-6x%2B5x%29%2B%28-1-3%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-3x%5E2-x-4)
Answer:
33.33%
Step-by-step explanation:
We need to calculate the <u>unit selling price and cost of each cosmetics.</u>
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
The regression line equation is
![y=85+16x](https://tex.z-dn.net/?f=y%3D85%2B16x)
, the value of the slope is shown as constant 16 and it's a positive constant, hence the correlation between the amount of gas used and degree of the days is a POSITIVE correlation.
A bus holds 40 people and a van holds 10
<span>What percent of 40 is 25?
Let x = what percent
of = multiplication
is means =
We now write it in math terms:
x times 40 = 25
40x = 25
Divide both sides by 40 to find x.
x = 25/40
x = 0.625
Change the decimal number 0.625 to a percent.
x = 62.5%
</span>