Call the two equations above A and B, in order to not confuse them.
A: -2x + 6y = -38
B: 3x - 4y = 32
For this system we have opposites in x and y, so Elimination (or Linear Combination) works best. Either variable works, so let's work with x first and multiply A by 3 and B by 2. This is done so we get opposites in A and B then when added together give zero.
-2x + 6y = -38 ------> multiply by 3 ----> -6x + 18y = -114
3x - 4y = 32 ------> multiply by 2 -----> 6x - 8y = 64
Now we add the new equations. The -6x and 6x are opposites and go away. We are left with
10y = -50. We divide both sides by 10 and get that y = -5.
Now we take y = -5 and put it into an original equation. Let's use A.
-2x + 6y = -38 the original equation A
-2x + 6(-5) = -38 we found y = -5
-2x + (-30) = -38 evaluating and multiplying
-2x - 30 = -38 apply the parentheses
-2x = -8 add 30 to both sides
x = 4 divide on both sides by -2
Thus x = 4 and y = -5, or (4, -5) is the solution.
Answer:
Therefore, the price would be 1.76 per pound of the walnut.
Step-by-step explanation:
To calculate the price per pound of the walnut, we just have to divide that price that Ava paid for the given amount of walnuts. We calculate as follows:
Price per pound = 4.40 / 2.50 pounds of walnuts
Price per found = 1.76 / pound of walnut
Hope this helps!
Answer:
Kaylaa do you use desmos graphing calculator? it's an online graphsing tool and would make this very easy for you. Maybe you are not allowed to use a calculator?
Step-by-step explanation:
with out a calculator it's a long math process, 1st because each of the equations are equal to Y, we can set each of them equal to each other. like this
+ 3 = - 
+ 18
= - +18 -3
= - + 15
= -[ (x-5)*(x-5) ] + 15
= -[ 
- 10x + 25] +15
= - + 10x -25 +15
= - + 10x -10
- = - 10x +10
(- )^2 = ( - 10x +10)^2
this turns into a 4 order polynomial. I used a solver to find x
x = 8.75884.... approx
so the question asks what is the point at the nearest 1000th, which is 8.759
then they ask what is the point at the nearest 100th, which is
8.76
I'm attaching the graph, if it helps :P
92 degrees because 90-(-2)= 90+2 because the negatives cancel out so you would get 92
Answer:
x = 2
Step-by-step explanation:
if the line passes through the x axis it means we should use the of x
if it passes through y we should use value of y
in this question perpendicular means at a 90 degree angle
the coordinates is 2,6
so x must be 2
