The answer would be A. Hope this helped.
3x² - 4x = 0 can be simplified to x(3x - 4) = 0
Set both the inside and outside of the parenthesis individually equal to zero.
x = 0
3x - 4 = 0
The first equation is done. The second one, add 4 to both sides to get constants on one side and variables on the other.
3x = 0 + 4
3x = 4
Divide by 3 on both sides to isolate the variable X
x = 4/3
Your final answer is x = 0, 4/3
Answer: 10 miles
Step-by-step explanation:
Given that :
Company A:
Flat rate = $30
Charge per mile = $1
Company B:
Flat rate = $20
Charge per mile = $2
Let x = number of miles
Company A total :
30 + x
Company B total :
20 + 2x
Miles needed To get the same total :
30 + x = 20 + 2x
30 - 20 = 2x - x
10 = x
Hence, 10 miles will be moved
Represent the data in table form.
x y
--- -----
-2 10
1 -5
3 -15
6 -30
Let y = k*x where k = constant.
Test x = -2:
k*(-2) = 10
k = -5
Test x = 1:
k*x = -5*1 = -5 Correct
Test x = 3:
k*x = -5*3 = -15 Correct
Test x = 6:
k*x = -5*6 = -30 Correct
Therefore the relation is
y = -5x, which is a direct variation.
Answer: direct variation.
Because the volume, V varies inversely as pressure, P, let
V = c/P where c = constant
Set V = 320 cm³, P = 40 kg/cm².
320 = c/40
c = 320*40 = 12800
Therefore
V = 12800/P
When V = 200 cm³, obtain
200 = 12800/P
200P = 12800
P = 12800/200 = 64 kg/cm²
Answer: P = 64 kg/cm²
Taking the Dot Product = 0 shows perpendicular or orthagonal vectors.
Then 2ax6 -axa +32x(-1) = 0
a^2 -12A +32 = 0
(a-8)(a-4) = 0
a = 4,8