Answer:
2.B
Step-by-step explanation:
2.
Henry's container holds milk=200*7/8=175 ml
<h3>5:16</h3>
The ratio is supposed to be pennies to total amount of coins. The total amount of coins--including pennies--is 16. This can be proven by this equation:
5 + 6 + 5 = 16
Now you put the ratio together by taking the amount of pennies (5) and total amount of coins (16). Your ratio should look like this:
5:16
Hope I helped you out! ❤❤
Answer:
79.5 + 5.5x = Y
Step-by-step explanation:
Sumo wrestler gained 5.5 kg per month
After 11 month, he weighed 140 kg.
Let x be his current weight.
Then x + 11(5.5) = 140
x = 140 - 60.5
x = 79.5
If Y is the weight of the wrestler after t months, then the linear equation would be:
79.5 + 5.5t = Y
![\boxed{(r-s)(x)=-3x-1} \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x} \\ \\ \boxed{(r+s)(-2)=-15}](https://tex.z-dn.net/?f=%5Cboxed%7B%28r-s%29%28x%29%3D-3x-1%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28r%5Ccdot%20s%29%28x%29%3D10x%5E2-5x%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28r%2Bs%29%28-2%29%3D-15%7D)
<h2>
Explanation:</h2>
In this exercise, we have the following functions:
![r(x)=2x-1 \\ \\ s(x)=5x](https://tex.z-dn.net/?f=r%28x%29%3D2x-1%20%5C%5C%20%5C%5C%20s%28x%29%3D5x)
And they are defined for all real numbers x. So we have to write the following expressions:
First expression:
![(r-s)(x)](https://tex.z-dn.net/?f=%28r-s%29%28x%29)
That is, we subtract s(x) from r(x):
![(r-s)(x)=2x-1-5x \\ \\ Combine \ like \ terms: \\ \\ (r-s)(x)=(2x-5x)-1 \\ \\ \boxed{(r-s)(x)=-3x-1}](https://tex.z-dn.net/?f=%28r-s%29%28x%29%3D2x-1-5x%20%5C%5C%20%5C%5C%20Combine%20%5C%20like%20%5C%20terms%3A%20%5C%5C%20%5C%5C%20%28r-s%29%28x%29%3D%282x-5x%29-1%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28r-s%29%28x%29%3D-3x-1%7D)
Second expression:
![(r\cdot s)(x)](https://tex.z-dn.net/?f=%28r%5Ccdot%20s%29%28x%29)
That is, we get the product of s(x) and r(x):
![(r\cdot s)(x)=(2x-1)(5x) \\ \\ By \ distributive \ property: \\ \\ (r\cdot s)(x)=(2x)(5x)-(1)(5x) \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x}](https://tex.z-dn.net/?f=%28r%5Ccdot%20s%29%28x%29%3D%282x-1%29%285x%29%20%5C%5C%20%5C%5C%20By%20%5C%20distributive%20%5C%20property%3A%20%5C%5C%20%5C%5C%20%28r%5Ccdot%20s%29%28x%29%3D%282x%29%285x%29-%281%29%285x%29%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28r%5Ccdot%20s%29%28x%29%3D10x%5E2-5x%7D)
Third expression:
Here we need to evaluate:
![(r+s)(-2)](https://tex.z-dn.net/?f=%28r%2Bs%29%28-2%29)
First of all, we find the sum of functions r(x) and s(x):
![(r+s)(x)=2x-1+5x \\ \\ Combine \ like \ terms: \\ \\ (r+s)(x)=(2x+5x)-1 \\ \\ (r+s)(x)=7x-1](https://tex.z-dn.net/?f=%28r%2Bs%29%28x%29%3D2x-1%2B5x%20%5C%5C%20%5C%5C%20Combine%20%5C%20like%20%5C%20terms%3A%20%5C%5C%20%5C%5C%20%28r%2Bs%29%28x%29%3D%282x%2B5x%29-1%20%5C%5C%20%5C%5C%20%28r%2Bs%29%28x%29%3D7x-1)
Finally, substituting x = -2:
![(r+s)(-2)=7(-2)-1 \\ \\ (r+s)(-2)=-14-1 \\ \\ \boxed{(r+s)(-2)=-15}](https://tex.z-dn.net/?f=%28r%2Bs%29%28-2%29%3D7%28-2%29-1%20%5C%5C%20%5C%5C%20%28r%2Bs%29%28-2%29%3D-14-1%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28r%2Bs%29%28-2%29%3D-15%7D)
<h2>Learn more: </h2>
Parabola: brainly.com/question/12178203
#LearnWithBrainly
Answer:
b>-18
Step-by-step explanation:
inequality form:b>-18
interval notation:(-18,inf.)