Classify the following triangle as acute, obtuse, or right.
2 answers:
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Answer:
C) 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins
Step-by-step explanation:
Your goal is to find out how many of each item will equate to 21 dollars. Your function is as follows:
1.5x+3y+1.5z=21
Where x, y, z are peanuts, almonds, raisins respectively (in that order). 21 is the total cost of the mixture.
All you have to do is start plugging in the variables given in the answer choices.
<u>A) Peanuts (x) = 3, Almonds (y) = 6, Raisins (z) = 2</u>
Everywhere you see x,y,z, you replace with their value.
A doesn't equal 21. On to the next one.
<u>B) Peanuts (x) = 8, Almonds (y) = 6, Raisins (z) = 2</u>
Everywhere you see x,y,z, you replace with their value.
B also doesn't equal 21. On to the next one...
<u>C) Peanuts (x) = 6, Almonds (y) = 3, Raisins (z) = 2</u>
Everywhere you see x,y,z you replace with their value.
Both sides of the equation equal 21 which means C is our answer.
Answer:
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
and
Combine the first two inequalities:
and
For the inequality to be true, we must have:
In interval notation, the inequality is:
Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals.
The shelter must keep its total occupancy below 300.
The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be
165+5x animals. This number must be less than 300, so