Answer:
Interpret the slope of a line as the change in y when x changes by 1.
Answer:
0, ±1, ±7,±1/3, and ±7/3
Step-by-step explanation:
In the function:
3x^5 - 2x² + 7x
x can be extracted as the greatest common factor, as follows:
x(3x^4 - 2x + 7)
then, zero is one root of the function.
According to Rational Root Theorem:
possible rational roots = factors of the constant/factors of the leading coefficient
For this case, factors of the constant (7) are: ±1 and ±7
For this case, factors of the leading coefficient (3) are: ±1 and ±3
Then:
possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3
Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
51 trees
Step-by-step explanation:
Start at one end of the 50-foot line segment.
At position 0 ft, put one tree.
Then 1 ft from 0 ft, put tree number 2.
One more foot over, at position 2 ft from the start, put tree number 3.
Notice that each tree number is one more than the number of feet.
That means at 50 ft from the stat, you put tree number 51.
Answer: 51 trees
2.45kg
First you calculate the price per kg as follows:
If it’s $20 for 12.25 kg, the price per kg is $20/12.25=$1.63 per kg
If you have $4, you can figure out what weight you can get by taking $4/the price per kg, so $4/$1.63, which is 2.45 kg.
