<h2>
Answer:</h2>
The number is -2.
<h2>
Step-by-step explanation:</h2><h3>Written out, our equation looks like this:</h3><h3>(-5·x)+2=12</h3>
We'll start of by taking our final result of 12 and subtracting 2, as the beginning of the statement says "two more."
<h3>12 minus 2 gives us
10.</h3>
Now, since the statement says "the product of -5," we will take this 10 and divide by -5.
<h3>10 divided by -5 gives us -2.</h3>
This means that our number, x equals -2. Of course, we must input this solution to double check our work.
<h3>(-5·<u>
-2</u>)+2=12</h3><h3>10+2=12</h3><h3>12=12</h3>
<h2>Our final answer is x=-2!</h2>
Answer:
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Step-by-step explanation: See Annex
Green Theorem establishes:
∫C ( Mdx + Ndy ) = ∫∫R ( δN/dx - δM/dy ) dA
Then
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy
Here
M = 2x + cosy² δM/dy = 1
N = y + e√x δN/dx = 2
δN/dx - δM/dy = 2 - 1 = 1
∫∫(R) dxdy ∫∫ dxdy
Now integration limits ( see Annex)
dy is from x = y² then y = √x to y = x² and for dx
dx is from 0 to 1 then
∫ dy = y | √x ; x² ∫dy = x² - √x
And
∫₀¹ ( x² - √x ) dx = x³/3 - 2/3 √x |₀¹ = 1/3 - 0
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
The first thing we do in these cases is to define the variables.
We have then:
w = represent the number of acres of wheat
c = represent the number of acres of corn
We write now the inequalities based is:
"Jess will plant up to 27 acres on her farm with wheat and corn"
w + c <= 27
"More than 5 acres will be planted with wheat"
w> 5
Answer:
two inequalities that represent this situation are:
w + c <= 27
w> 5
We have that
[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
<span>They have common denominators, so just add the numerators like normal fractions:</span>
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)
the answer is
(x+1)/(x+5)