Answer:
$7.7
Step-by-step explanation:
Hello, I can help you with this
you can solve this by using a simple rule of three.
Step 1
define
if the wholesale price for a shirt is $5.50,it is 100 percent
$5.50⇔100%
the new price(x) is 40% more than the original, it means 140%
x ⇔ 140%
the relation is
![\frac{5.5}{100}= \frac{x}{140}\\](https://tex.z-dn.net/?f=%5Cfrac%7B5.5%7D%7B100%7D%3D%20%5Cfrac%7Bx%7D%7B140%7D%5C%5C)
Step 2
solve for x(isolate x)
![\frac{5.5}{100}= \frac{x}{140}\\x=\frac{5.5*140}{100}\\x=7.7](https://tex.z-dn.net/?f=%5Cfrac%7B5.5%7D%7B100%7D%3D%20%5Cfrac%7Bx%7D%7B140%7D%5C%5Cx%3D%5Cfrac%7B5.5%2A140%7D%7B100%7D%5C%5Cx%3D7.7)
the price of the shirt in the department store is $7.7
Have a nice day.
Answer:
Anything 5 and above.
Step-by-step explanation:
The sign that is shown is the less than or equal to sign, which means whatever is added to seven, the sum would have to be 12 or above? or it wouldn't work.
Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning
• 2 - x exists for all x < -1
• x exists for all -1 ≤ x < 1
• (x - 1)² exists for all x ≥ 1
So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.
At x = -1, as I said in my comment, you have
![\displaystyle \lim_{x\to-1^-}f(x) = \lim_{x\to-1}(2-x) = 2-(-1) = 3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto-1%5E-%7Df%28x%29%20%3D%20%5Clim_%7Bx%5Cto-1%7D%282-x%29%20%3D%202-%28-1%29%20%3D%203)
while
![\displaystyle \lim_{x\to-1^+}f(x) = \lim_{x\to-1}x = -1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto-1%5E%2B%7Df%28x%29%20%3D%20%5Clim_%7Bx%5Cto-1%7Dx%20%3D%20-1)
But -1 ≠ 3, so the two-sided limit
![\displaystyle\lim_{x\to-1}f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto-1%7Df%28x%29)
does not exist. So a = -1 is one of the points you would list.
At x = 1, we have
![\displaystyle \lim_{x\to1^-}f(x) = \lim_{x\to1}x = 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto1%5E-%7Df%28x%29%20%3D%20%5Clim_%7Bx%5Cto1%7Dx%20%3D%201)
while
![\displaystyle \lim_{x\to1^+}f(x) = \lim_{x\to1}(x-1)^2 = (1-1)^2 = 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto1%5E%2B%7Df%28x%29%20%3D%20%5Clim_%7Bx%5Cto1%7D%28x-1%29%5E2%20%3D%20%281-1%29%5E2%20%3D%200)
and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.
<em>Nitrogen gas exists as a diatomic molecule,</em><em>(</em><em>N2</em><em>)</em><em>.</em>
<em>S</em><em>o</em><em>,</em><em>14 g is 0.5 mole of N2, and occupies about 11.2 L at STP.</em>
Slope
m = (y2-y1)/(x2-x1)
m = (10 - 7)/(2 --1)
m = 3/3
m = 1
To find the equation
y = mx + b
m is slope
y = 1x + b
plug in one of the equations to solve for b
10 = 1(2) + b
10 = 2 + b
subtract 2 from both sides
8 = b
The equation is
y = 1x + 8
or you can write it as
y = x + 8
Hope this helps