Hey there!
(9) 2x-9y=45
... -9y=-2x+45
... y = (2/9)x - 5
Slope = 2/9
y-intercept = (0,-5)
(11) 3y+2x=-15
... 3y=-2x-15
... y = (-2/3)x - 5
Slope = -2/3
y-intercept = (0,-5)
(12) 10x+8y=40
... 8y=-10x+40
... y=(-10/8)x+5
Slope = -5/4 (after simplifying )
y-intercept = (0,5)
Hope my answer helps!
Answer:
32 bacteria exist in the culture after 8 hours.
Tenths. Hope this helped.
Answer: See explanation
Step-by-step explanation:
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520.
For the first one that is, 38 × 10 = 380, John is correct. For the second one, that is, 46.52 × 10 = 46.520. John is incorrect. In this case, the first one is correct because John was multiplying by a whole number.
For the second one involving a decimal, John could have shifted the decimal point one place to the right and not add 0 to the end. Then he will get:
46.52 × 10 = 465.2
Answer:
Option D
Step-by-step explanation:
Option A:
(3)¹ × (3)⁻¹⁰ = (3)⁽¹⁻¹⁰⁾ = 3⁹
= 
= 
Option B :
(3)⁻¹ × (3) ¹⁰ = 3⁽¹⁰⁻¹⁾
= 3⁹
= 19683
Option C :
(3⁻⁴) × (3)⁷ = 3⁽⁷⁻⁴⁾
= 3³
Option D :
3⁴ × 3⁻⁷ = 3⁴⁻⁷
= 3⁻³
= 
= 
Therefore, option D is the answer.
