Answer:
Part A)
1) ![k=250](https://tex.z-dn.net/?f=k%3D250)
2)
Part B)
1) ![k=7](https://tex.z-dn.net/?f=k%3D7)
2)
Step-by-step explanation:
Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or ![y=k/x](https://tex.z-dn.net/?f=y%3Dk%2Fx)
step 1
<u>Find the value of k</u>
x=50 when y=5
substitute the values
------>
-----> ![k=250](https://tex.z-dn.net/?f=k%3D250)
The equation is equal to
or ![y=250/x](https://tex.z-dn.net/?f=y%3D250%2Fx)
step 2
<u>Find y when x=10</u>
substitute the value of x in the equation and solve for y
Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
step 1
<u>Find the value of k</u>
x=6 when y=42
substitute the values
------>
----->
The equation is equal to
or
step 2
<u>Find y when x=12</u>
substitute the value of x in the equation and solve for y
Answer:
<h2>2. (0, -4)</h2>
Step-by-step explanation:
![y=4x-4\\\\\text{Substitute the coordinates of each points to the equation}\\\text{and check the equality.}\\\\1.\ (0,\ 4)\to x=0,\ y=4\\\\4=4(0)-4\\4=0-4\\4=-4\qquad\bold{FALSE}\\\\2.\ (0,\ -4)\to x=0,\ y=-4\\\\-4=4(0)-4\\-4=0-4\\-4=-4\qquad\bold{TRUE}\\\\3.\ (-4,\ 0)\to x=-4,\ y=0\\\\0=4(-4)-4\\0=-16-4\\0=-20\qquad\bold{FALSE}\\\\4.\ (4,\ 0)\to x=4,\ y=0\\\\0=4(4)-4\\0=16-4\\0=12\qquad\bold{FALSE}](https://tex.z-dn.net/?f=y%3D4x-4%5C%5C%5C%5C%5Ctext%7BSubstitute%20the%20coordinates%20of%20each%20points%20to%20the%20equation%7D%5C%5C%5Ctext%7Band%20check%20the%20equality.%7D%5C%5C%5C%5C1.%5C%20%280%2C%5C%204%29%5Cto%20x%3D0%2C%5C%20y%3D4%5C%5C%5C%5C4%3D4%280%29-4%5C%5C4%3D0-4%5C%5C4%3D-4%5Cqquad%5Cbold%7BFALSE%7D%5C%5C%5C%5C2.%5C%20%280%2C%5C%20-4%29%5Cto%20x%3D0%2C%5C%20y%3D-4%5C%5C%5C%5C-4%3D4%280%29-4%5C%5C-4%3D0-4%5C%5C-4%3D-4%5Cqquad%5Cbold%7BTRUE%7D%5C%5C%5C%5C3.%5C%20%28-4%2C%5C%200%29%5Cto%20x%3D-4%2C%5C%20y%3D0%5C%5C%5C%5C0%3D4%28-4%29-4%5C%5C0%3D-16-4%5C%5C0%3D-20%5Cqquad%5Cbold%7BFALSE%7D%5C%5C%5C%5C4.%5C%20%284%2C%5C%200%29%5Cto%20x%3D4%2C%5C%20y%3D0%5C%5C%5C%5C0%3D4%284%29-4%5C%5C0%3D16-4%5C%5C0%3D12%5Cqquad%5Cbold%7BFALSE%7D)
The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2
the sum of a geometric seequence is
![S_{n}=\frac{a_{1}(1-r^{n})}{1-r}](https://tex.z-dn.net/?f=%20S_%7Bn%7D%3D%5Cfrac%7Ba_%7B1%7D%281-r%5E%7Bn%7D%29%7D%7B1-r%7D%20)
a1=1
r=2
we want to find
![S_{10}](https://tex.z-dn.net/?f=%20S_%7B10%7D%20)
(since we minus 1, the highest exponet is 9 so add 1 to make it correct)
![S_{10}=\frac{1(1-2^{10})}{1-2}](https://tex.z-dn.net/?f=%20S_%7B10%7D%3D%5Cfrac%7B1%281-2%5E%7B10%7D%29%7D%7B1-2%7D%20)
![S_{10}=\frac{(1-1024}{-1}](https://tex.z-dn.net/?f=%20S_%7B10%7D%3D%5Cfrac%7B%281-1024%7D%7B-1%7D%20)
![S_{10}=\frac{(-1023}{-1}](https://tex.z-dn.net/?f=%20S_%7B10%7D%3D%5Cfrac%7B%28-1023%7D%7B-1%7D%20)
Answer:
1.3
Step-by-step explanation:
<span>Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet
26/35 (that is a fraction) x100 =</span><span>74.285714
</span>so round your answer