![21+7.50p\leq 52](https://tex.z-dn.net/?f=21%2B7.50p%5Cleq%2052)
<h2>
Explanation:</h2>
For inequalities, "a is no more than b" can be written as:
![a\leq b](https://tex.z-dn.net/?f=a%5Cleq%20b)
Here we know Candace that can spend no more than $52 before tax. She can spend a certain amount of money in both Dark Roast coffee and Morning Blend coffee. So she spends:
- 2 pounds of Morning Blend coffee.
- p pounds of Dark Roast coffee
Therefore:
<u>Amount of money for Morning Blend coffee:</u>
![2\times 10.50=\$21](https://tex.z-dn.net/?f=2%5Ctimes%2010.50%3D%5C%2421)
<u>Amount of money for Dark Roast coffee:</u>
![p\times 7.50=\$7.50p](https://tex.z-dn.net/?f=p%5Ctimes%207.50%3D%5C%247.50p)
So the total amount of money:
![21+7.50p](https://tex.z-dn.net/?f=21%2B7.50p)
Finally, the inequality becomes:
![21+7.50p\leq 52](https://tex.z-dn.net/?f=21%2B7.50p%5Cleq%2052)
Besides, in order to know how many pounds she can spend let's solve for p:
![7.50p\leq 52-21 \\ \\ 7.50p\leq 31 \\ \\ p\leq 4.13](https://tex.z-dn.net/?f=7.50p%5Cleq%2052-21%20%5C%5C%20%5C%5C%207.50p%5Cleq%2031%20%5C%5C%20%5C%5C%20p%5Cleq%204.13)
So she can spend less that 4.13 pounds.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/12890742
#LearnWithBrainly
Answer:
and
the intersection points.
Step-by-step explanation:
Intersection point of two functions is a common point which satisfies both the functions.
Given functions are,
![f(x)=2x-5](https://tex.z-dn.net/?f=f%28x%29%3D2x-5)
![g(x)=x^2+2x-21](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2%2B2x-21)
For a common point of these functions,
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
![2x-5=x^2+2x-21](https://tex.z-dn.net/?f=2x-5%3Dx%5E2%2B2x-21)
![-5=x^2-21](https://tex.z-dn.net/?f=-5%3Dx%5E2-21)
![0=x^2-16](https://tex.z-dn.net/?f=0%3Dx%5E2-16)
![x^2=16](https://tex.z-dn.net/?f=x%5E2%3D16)
![x=-4,4](https://tex.z-dn.net/?f=x%3D-4%2C4)
For
,
![f(-4)=g(-4)=2(-4)-5](https://tex.z-dn.net/?f=f%28-4%29%3Dg%28-4%29%3D2%28-4%29-5)
![=-13](https://tex.z-dn.net/?f=%3D-13)
For
,
![f(4)=g(4)=2(4)-5](https://tex.z-dn.net/?f=f%284%29%3Dg%284%29%3D2%284%29-5)
![=3](https://tex.z-dn.net/?f=%3D3)
Therefore,
and
the intersection points.
If it's described as my drawing:
The distance of downstream will be 375 * tan25 = 174.87 feet
Answer:
Step-by-step explanation:
C is the answer
Q is 124 and 56 because it has to add up to 180 and sense r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees