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
Answer:
add 17 to both sides
Step-by-step explanation:
as it cancels itself
mark brainliest
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
5 cent = 0.05x
<span><span>2 cent </span>= 0.02(x+50)</span>
4 cent = 0.04(2x-10)
0.05x + 0.02(x+50) + 0.04(2x-10)
0.05x + 0.02x +1 + 0.08x -0.4 = 4.35
0.15x +0.6 = 4.35
0.15x = 3.75
X = 3.75 / 0.15 = 25
<span> 25 5 cent stamps (
25*0.05 = 1.25)</span>
25+50 = 75 2 cent stamps ( 75*0.02 = 1.50)
2*25 =50-10 = 40 4 cent stamps ( 40*0.04 =1.60)
1.25 + 1.50 +1.60 = 4.35
5 cent = 25
2 cent = 75
4 cent = 40
Answer: you have a 25% or 1/4 probability
Step-by-step explanation:
