Answer:
m= --4
Step-by-step explanation:
Slope (m) = ΔY
/ΔX = (-8-(-4))/(-6-(-7) = -4/1 = -4
Answer:
If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.
Step-by-step explanation:
PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.
The differnce quotient is basically taking the derivitive (result will be f'(x)=5, but anyway)
here is the disffernce quotient
![lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}](https://tex.z-dn.net/?f=lim_%7Bh%5Crightarrow0%7D%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D)
so
for your equation
![lim_{h\rightarrow0}\frac{(5(x+h)+4)-(5x+4)}{h}](https://tex.z-dn.net/?f=lim_%7Bh%5Crightarrow0%7D%5Cfrac%7B%285%28x%2Bh%29%2B4%29-%285x%2B4%29%7D%7Bh%7D)
![lim_{h\rightarrow0}\frac{5x+5h+4-5x-4}{h}](https://tex.z-dn.net/?f=lim_%7Bh%5Crightarrow0%7D%5Cfrac%7B5x%2B5h%2B4-5x-4%7D%7Bh%7D)
![lim_{h\rightarrow0}\frac{5h}{h}](https://tex.z-dn.net/?f=lim_%7Bh%5Crightarrow0%7D%5Cfrac%7B5h%7D%7Bh%7D)
h's cancel and you are left with 5
the differnce quotient is 5
Answer:
(0,-5) and (-4,3) are the points to the equations.
Step-by-step explanation:
Solution:
Step 1: Make an equation for y to substitute to the first equation.
x^2+y^2=25
y=-2x-5
Step 2: Substitute the y-value to the first equation.
x^2+(-2x-5)^2=25
x^2+4x^2+20x+25=25
Our x-values would be 0, and -4.
Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.
y=-2(0)-5=-5 and makes the ordered pair (0,-5)
y=-2(-4)-5=3 and makes the ordered pair (-4,3)
Therefore our answers would be (0,-5) and (-4,3)