The answer is 1/12, 2/12, 1/4, 1/2
Answer:
y = 3x - 10
Step-by-step explanation:
Assuming you require the equation of the parallel line through (2, - 4)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 24 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = 3x - 10 ← equation of parallel line
Answer:
x=1.25 and y=-5.5
Step-by-step explanation:
2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25
What was the beginning number is his account?
Answer:
<u>The constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>
<u>And this is the rule:</u>
<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>
Step-by-step explanation:
Let's find the unknown term and the sequence:
1st term = 3/10
2nd term = 2/5 = 4/10
3rd term = x
4th term = 3/5 = 6/10
5th term = 7/10
<u>As we can see the constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.</u>
<u>And this is the rule:</u>
<u>aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10</u>
a₂ = a₁ + 1/10 ⇒ a₂ = 4/10 = 2/5 (Simplifying)
a₃ = a₂ + 1/10 ⇒ a₃ = 5/10 = 1/2 (Simplifying)
a₄ = a₃ + 1/10 ⇒ a₄ = 6/10 = 3/5 (Simplifying)
a₅ = a₄ + 1/10 ⇒ a₅ = 7/10
