Answer:
Step-by-step explanation:
[ (x + 7) / 6 ] − [ (x + 5) / (x + 3) ]
First, we must find the common denominator. In this case, that's 6 (x+3). Multiply the first fraction by (x+3)/(x+3) and the second fraction by 6/6.
[ (x + 7)(x + 3) / (6 (x + 3)) ] − [ 6 (x + 5) / (6 (x + 3)) ]
Now distribute the numerators:
[ (x² + 10x + 21) / (6 (x + 3)) ] − [ (6x + 30) / (6 (x + 3)) ]
Now we combine the fractions:
((x² + 10x + 21) − (6x + 30)) / (6 (x + 3))
(x² + 10x + 21 − 6x − 30) / (6 (x + 3))
(x² + 4x − 9) / (6 (x + 3))
So the simplified form is:
Answer:
Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.
Step-by-step explanation:
Answer:
x = 18/5 + 9/5y
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given the 2 equations
3x + 4y = 8 → (1)
y - 5x = 2 ← rewrite as
- 5x + y = 2 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
20x - 4y = - 8 → (3)
Add (1) and (3) term by term to eliminate y
23x + 0 = 0
23x = 0 , then
x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (1)
3(0) + 4y = 8
4y = 8 ( divide both sides by 4 )
y = 2
solution is (0, 2 )
That is the lines intersect once at (0, 2 )
