Answer:
(0,1)- y intercept (1,0) x intercept
Step-by-step explanation:
first lets write this equation in slope intercept form: y=mx+b
m=slope
b=y intercept
so
slope formula:
(y2-y1)/(x2-x1)
y2=-3
y1=9
x2=4
x1=-8
so
(-3-9)/(4--8)=-12/12=-1
slope=-1
hence
y=-1x+b
substitute "x" as 4 and "y" as -3
so
-3=-1(4)+b
-3=-4+b
1=b
so
y=-x+1
1=y intercept
and
0=-x+1
-1=-x
1=x
1=x intercept
Answer:
\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)
Step-by-step explanation:
Answer:
15$
Step-by-step explanation:
35-10=25$
25-5=20$
20-5=15$
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
d. Anthony rode 14 more miles per week than Malique.
Step-by-step explanation:
Anthony rode (141 mi)/(3 wk) = 47 mi/wk.
Malique rode (165 mi)/(5 wk) = 33 mi/wk.
Anthony rode more miles per week by ...
(47 -33) mi/wk = 14 mi/wk
Anthony rode 14 more miles per week than Malique.
