Answer:
$45
Step-by-step explanation:
y = slope + y intercept
Answer:
Depends on what way you learnt it
Step-by-step explanation:
x + y = 4. x^2 + y^2 = 28. These are the given equations.
Square the first equation to get x^2 + 2xy + y^2 = 16.
Subtract the new equation from x^2 + y^2 = 28 to get 2xy = -12.
Divide by 2 to get xy = -6. The questions asks for positive numbers, and a positive times a positive is not a negative, therefore there are no two numbers.
X=80°
A triangle’s angle measurements always add up to 180°. So 180-70-30=80
In case you're not already aware, the expression
is called the "difference quotient" and represents the average rate of change of a function
over an interval
.
For the function
, by substituting
we get
![f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D%28x%2Bh%29%5E2%2B3%28x%2Bh%29%2B4%3D%28x%5E2%2B2xh%2Bh%5E2%29%2B%283x%2B3h%29%2B4%3Dx%5E2%2B3x%2B4%2B%282x%2B3%29h%2Bh%5E2)
Then the difference quotient is
![\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7Dh%3D%5Cdfrac%7B%28x%5E2%2B3x%2B4%2B%282x%2B3%29h%2Bh%5E2%29-%28x%5E2%2B3x%2B4%29%7Dh)
![=\dfrac{(2x+3)h+h^2}h=2x+3+h](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%282x%2B3%29h%2Bh%5E2%7Dh%3D2x%2B3%2Bh)
where the last equality holds as long as
.