Answer:
x² + 3x - 28
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor
(x + 7)(x - 4)
= x(x - 4) + 7(x - 4) ← distribute both parenthesis
= x² - 4x + 7x - 28 ← collect like terms
= x² + 3x - 28
Domain of 5x^2 + 2x - 1 is all real numbers.
.5 is basically 1/2. We know this because .5 written as a fraction is 50/100 which you can simplify to 1/2.
6/10 is greater than 1/2. You can find this out by converting 1/2 to tenths. Multiply the numerator and the denominator by 5 to get 5/10. From there you can easily see that 6/10 > 5/10.
As for the number line simply use 10ths: 1/10, 2/10, 3/10 ... and input 6/10 and 5/10 in the appropriate areas.
I'll use subscript notation for brevity, i.e. 
.
By the chain rule,
We have
and
When 
, we have
and the partial derivatives take on values of
So we end up with
Answer:
(2.8, 0.8)
(0.8, -1.8)
Step-by-step explanation:
1. Home (Xa, Ya)= (8, 6)
San Antonio (Xb, Yb)=(-5, -7)
Xa-Xb=8-(-5)=13
Ya-Yb=6-(-7)=13
Emily starts at 2/5 of the road, make it (Xc, Yc)
Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8
Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8
=> Emily starts at (2.8, 0.8)
2.
Emily ends at 3/5 of the road, , make it (Xd, Yd)
Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8
Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8
=> Emily ends at (0.8, -1.8)
