Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.
x=5 --> y=12
x=8 --> y=?
? = (8*12)/5 = 96/5 = 19.2
So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.
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Answer:
<h3>A. </h3>
- log
= log 3 - x³ log x = log 3
- 3x³ log x = 3 log 3
- x³ log x³ = log 3³
= 3³- x³ = 3
- x =
<h3>B.</h3>
- 4ˣ + 6ˣ = 9ˣ
- 2²ˣ + 2ˣ3ˣ = 3²ˣ
<u>Divide both sides by 2²ˣ</u>
<u>Substitute (3/2)ˣ = t</u>
<u>Solve for t:</u>
<u>Positive root is considered as (3/2)ˣ can't be negative.</u>
- (3/2)ˣ = (1 + √5)/2
- x = log [(1 + √5)/2] / log (3/2)
- x = 1.18681439028
Answer:
4x+30, 1.875
Step-by-step explanation:
x+(x+30)+2x = 4x+30
4x+30=37.5
4x=7.5
x=1.875
