Answer:
4/5
Step-by-step explanation:
if log 32 base 4 = x, then 32^x = 4 -> x = 2/5
if log 243 base 9 = y, then 243^y=9 -> y = 2/5
therefore, the answer is 2/5+2/5=4/5
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
Answer:
4600
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
This indicates the sequence is arithmetic with sum to n terms
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 4 , then
= 
[ (2 × - 6) + (49 × 4) ]
= 25(- 12 + 196)
= 25 × 184
= 4600
It is factored into:
(1/4)(y+(3/2))
I used a graphing calculator, the correct answer is y=-6x+3. I can provide the work if you want.
