Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
![d=1.28\times 10^{-6}\ g/cm^3](https://tex.z-dn.net/?f=d%3D1.28%5Ctimes%2010%5E%7B-6%7D%5C%20g%2Fcm%5E3)
Step-by-step explanation:
The mass of a bag of sugar, m = 1 kg = 0.001 g
Length of bag, l = 9.2 cm
Width of bag, b = 6 cm
Height of the bag, h = 14.1 cm
We need to find the density of the sugar bag.
Density = mass/volume
So,
![d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B0.001%5C%20g%7D%7B9.2%5Ctimes%206%5Ctimes%2014.1%5C%20cm%5E3%7D%5C%5C%5C%5Cd%3D1.28%5Ctimes%2010%5E%7B-6%7D%5C%20g%2Fcm%5E3)
So, the density of the bag is
.
Answer:
-6<x<2
Step-by-step explanation:
Step-by-step explanation:
You will divide 16 into 6,832 then you will do 16 times 4 and it will give you 64 and you subtract that and you will get 43 and then do 16 times 2 and you will get 32 and you subtract 43 and 32 then you will multiply 16 times seven and you will get 112 and subtract that by 112 and you will get zero.
Answer:
Part 1:
Part 2: 10.5 Units
Step-by-step explanation:
We can find perimeter of a rectangle using formula
. We are given
, which is 6.5. Put this into the equation.
![2l+2(6.5)=342l+13=34\\2l=21\\l=10.5](https://tex.z-dn.net/?f=2l%2B2%286.5%29%3D342l%2B13%3D34%5C%5C2l%3D21%5C%5Cl%3D10.5)
So, length(l) of the rectangle is 10.5 units.