Answer:
Step-by-step example explanation:
DOMAIN:
{
x
∣
x
≠
3
2
}
RANGE:
{
y
∣
y
≠
3
2
}
Explanation:
The domain consists of all numbers you can legally plug into the original. The excluded "illegal" values would be dividing by zero or negatives under square roots.
This expression has a denominator, so there is a risk of illegally dividing by zero. This would happen only if
2
x
−
3
=
0
2
x
=
3
x
=
3
2
This means that
x
=
3
/
2
is excluded from the domain. Therefore,
Domain: All real numbers except
x
=
3
/
2
. More formally, you could state the domain as
{
x
∣
x
≠
3
2
}
.
For rational functions, you find the range by evaluating the degree of the numerator compared to the degree of the denominator. If the degree of the top > degree of bottoms, then you have a horizontal asymptote at
y
=
0
. If they are equal, you have a horizontal asymptote. The coefficient of highest degree in the numerator is divided by the coefficient of the highest degree on the bottom. The result is
y
=
that fraction. So in our case, you have a horizontal asymptote at
y
=
3
2
Answer:she had 11 video games on Monday.
Step-by-step explanation:
Let x represent the number of video games that Susie had initially.
On Tuesday, Susie buys three new video games from the store. This means that the total number of video games that Susie had would be x + 3
On Wednesday, she sells half of her video games in order to make extra money. This means that the number of video games that she sold is
(x + 3)/2. The number of video games left would be
x - (x + 3)/2
If she has 4 video games left after selling, it means that
x - (x + 3)/2 = 4
2x - (x + 3) = 8
2x - x - 3 = 8
x - 3 = 8
x = 8 + 3 = 11
Circumference = 2πr
Our cylinder's circumference: 2 * π * 9 = 18π
Surface area of cross section = πr² = π * 9² = 81π
* 2 since there is two cross sections: 81π * 2 = 162π
Surface area of rounded face, treat it like a rectangle: C*H
18π * 11 = 198π
Add the surface areas, 198π + 162π = 360π in²
For this case what we must do is find the unit rate of grams of fat for every tablespoon of the powder.
We have then:
Substituting values we have:
Then, rewriting we have:
Answer:
There are 
grams of fat are there for every tablespoon of the powder
Hi there!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be -
Now, just cross multiply and solve for x.
Therefore, the length of the missing side would be
8. Hope this helped!
