Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
The answer is B. -7m+12.
First distribute the -2 to 6m and -5.
5m-2(6m-5)+2
5m+(-2*6m)+(-2*-5)+2
5m+-12m+10+2
After that, combine the like terms.
5m+-12m+10+2
-5m+-12m=-7m
10+2=12
The simplified expression is -7m+12.
Answer: 8%
Step-by-step explanation:The shipping and handling fee of $35 was applied to the order or $437.50.
Divide the total by the shipping and handling fee:
35 / 437.50 = .08
Multiply by 100 to get percent:
.08 x 100 = 8%
Answer:
iwillanswer
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17 one point shots and 39 two point shots were made
Solution:
Given that,
At a basketball game, a team made 56 successful shots
They were a combination of 1- and 2-point shots
Let "x" be the number of 1 point shots
Then, 56 - x is the number of two point shots
The team scored 95 points in all
Therefore,
1(number of 1 point shots) + 2(number of two point shots) = 95
x + 2(56 - x) = 95
x + 112 - 2x = 95
x = 112 - 95
x = 17
Then, number of two point shots = 56 - x = 56 - 17 = 39
Thus 17 one point shots and 39 two point shots were made
It is always linear
it has a y intercept at 7 and an X intercept at -7
domain: (-infinity, infinity)
range: (-infinity, infinity)
integral: (1/2) x^2+7×
derivative: 1
