Answer:
-49/3 and -25/3
Step-by-step explanation:
Let the numbers be represented by f and s (first and second). Then f = s - 8. Also, 2f = 3s + 9. Solve this system for f and s:
Substituting s - 8 for f in the 2nd equation, above, yields
2(s - 8) = 3s + 9, or 2s - 16 = 3s + 9. Then 3s = -25, and s = -25/3. The first number is then f = s - 8, or f = -25/3 - 8, or f = -49/3.
Answer:
y = 2x - 3
Step-by-step explanation:
Let (2, 1) =
Let (4, 5) =
Slope formula:
Equation of a line, point-slope formula:
Change 4 and 2/3 to an improper fraction.
4 + 2/3 = 14/3
There are 14 of the 1/3 lb serving in 4 and 2/3 pounds of cheese.
Answer:
Step-by-step explanation:
tan x = ( sin x ) / ( cos x )
tan²x + 1 = sec²x
sec x = ± √(tan²x + 1)
sec x = 1 / cos x
~~~~~~~~~~~~
tan x = 4 and sin x < 0
cos x - ?
<u><em>If tan x > 0 and sin x < 0 ⇒ cos x < 0</em></u>
sec²x = 16 + 1 = 17 ⇒ cos²x =
cos x = -
9514 1404 393
Answer:
g(x) = 2x
Step-by-step explanation:
Replace x in the given function with x+3.
g((x+3) -3) = 2(x+3) -6
g(x) = 2x +6 -6
g(x) = 2x