Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
Given:
2x + 6y = 12
where
x = number of pounds of granola y = number of pounds of walnuts
The correct solution to the problem
x = 3 pounds
2x + 6y = 12
2(3) + 6y = 12
6 + 6y = 12
Subtract 6 from both sides
6 + 6y - 6 = 12 - 6
6y = 6
Divide both sides by 6
y = 6/6
= 1
y = 1 pound
Tomas added 6 to both sides of the equation instead of subtracting 6.
Answer:
24 is the largest fraction fell by 12 to 19
The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
Read more about areas at:
brainly.com/question/14115342
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Answer:
x=8, y=-1
Step-by-step explanation:
The figure is said to be a rectangle, which means opposite sides have to be equal in length. From this, we can write a system of equations:
5x-2y=42
2x+3y=13
There are a number of ways to solve this but I'll go with elimination--that means you need to try to remove one variable first by manipulating the equations and solve for the other variable. Then you use the solution to solve for the variable you initially removed. That sounds confusing, but let me show you how to do it.
If you multiply the first equation by 3 and the second equation by 2, you'll have have:
15x-6y=126
4x+6y=26
Now, we can add these two equations. The y will cancel out, so we can easily solve for x.
19x=152
x=8
Use this value of x to substitute back into either of the original equations to find y.
5(8)-2y=42
40-2y=42
-2y=2
y=-1
Answer:
im not positive but i think C
Step-by-step explanation:
