Answer:
5 – 6x = 8x + 17
⇔ 5 - 17 = 8x + 6x
⇔ -12 = 14x
⇔ x = -6/7
Step-by-step explanation:
Step-by-step explanation:
Given,
Length of railroad car = 6 inches
The length of railroad track = 5 feet
We will convert this length into inches.
1 feet = 12 inches
5 feet = 12*5 = 60 inches
Let,
x be the number of cars.
Number of cars * Length of each car = Length of track
Dividing both sides by 6
10 cars can fit on railroad track.
Answer:
=
8
/1
5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given
A = 
Substitute the given values with h = a, then
16.5 = 
( multiply both sides by 2 )
33 = a(a + 8) ← distribute
33 = a² + 8a ( subtract 33 from both sides )
0 = a² + 8a - 33 ← in standard form
0 = (a + 11)(a - 3) ← in factored form
Equate each factor to zero and solve for a
a + 11 = 0 ⇒ a = - 11
a - 3 = 0 ⇒ a = 3
However, a > 0 thus a = 3
Hence the height is 3 feet
Answer:
x = 0, x = 3
Step-by-step explanation:
Given
- 4x² = - 12x ( add 12x to both sides )
- 4x² + 12x = 0 ← factor out - 4x from each term
- 4x(x - 3) = 0
Equate each factor to zero and solve for x
- 4x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
