Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
Convert the mixed number into an improper fraction.
3 1/2 x 2 : 16/5 x 2
Calculate the product!
16/5 x 2 : 32/5
Solution: 32/5, (Alternative Forms: 6 2/5, 6.4)
Hope this helps!
Answer:
third option
Step-by-step explanation:
By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.
<h3>
How many steps can she make from the rope?</h3>
To find this, we need to take the quotient between the total length of the rope and the length needed for each step.
She has a total length of 30ft.
For each step she needs (2 + 1/3) ft plus (1/2) ft for each knot, and there are two knots, then each step needs: (2 + 1/3)ft + 2*(1/2)ft = (3 + 1/3) ft.
Then the number of steps that can be made is:
N = (30 ft)/(3 + 1/3) ft. = 9
She can make 9 steps or the lader.
If you want to learn more about quotients:
brainly.com/question/8952483
#SPJ1
Answer:
False
Step-by-step explanation:
1 7/8 =15/8
