Simplify: (x2 − 8x + 5) + (−3x2 + 5x − 9)
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.
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
Using the slope formula. we get
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
Adding 5 on both sides, we get
Therefore, the equation for the given data is .