Answer:
(x-7) (x^2-5)
Step-by-step explanation:
x^3 -7x^2 -5x+35
Make 2 groups
x^3 -7x^2 -5x+35
Factor x^2 from the first group and -5 from the second group
x^2 (x-7) -5(x-7)
Now factor (x-7) out
(x-7) (x^2-5)
Answer:
8, 0, -8, -12
Step-by-step explanation:
Answer:
Tom's balance at the end of month 5 = 1,871.77
Step-by-step explanation:
a = 1600
ar = 1664
ar² = 1730.56
common ratio, r = ar/a
= 1664/1600
= 1.04
r = 1.04
what will toms balance be at the end of month 5
Month 5 = ar⁴
= 1600 * 1.04⁴
= 1600 * 1.16985856
= 1,871.773696
Approximately 1,871.77
Tom's balance at the end of month 5 = 1,871.77
The distance between the 2 locations = 7 units
Step-by-step explanation:
Step 1:
Given,
Location of Hot dogs = (6,4)
Location of Mustard = (6,-3)
We need to find the distance between the two locations
Step 2:
Since the x coordinates of both the location are the same , they lie in the same line.
The first location is 4 units above the x axis and the second location is 3 units below the x axis.
Hence the distance between the 2 locations 4-(-3) = 7 units
Step 3 :
Answer :
The distance between the 2 locations = 7 units
Answer:
Slope (m) =
ΔY
ΔX
=
1
4
= 0.25
θ =
arctan( ΔY ) + 180°
ΔX
= 194.03624346793°
ΔX = 1 – 5 = -4
ΔY = 2 – 3 = -1
Distance (d) = √ΔX2 + ΔY2 = √17 = 4.1231056256177
Equation of the line:
y = 0.25x + 1.75
or
y =
1 x
4
+ 7
4
When x=0, y = 1.75
When y=0, x = -7
Step-by-step explanation: