Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, 
= d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = = -6.25 ft = 6.25 ft. below the surface of the water.
Answer:
<u>1. Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>2. Nora and Lila be on the page 180.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Current page of the novel that Nora is reading now = 128
Pages per day Nora reads = 8
Current page of the novel that Lila is reading now = 102
Pages per day Lila reads = 12
Days ahead for Nora and Lila will be on the same page = x
2. After how many days of reading will Nora and Lila be on the same page of the book?
128 + 8x = 102 + 12x
8x - 12x = 102 - 128 (Subtracting 12x and 128 at both sides)
-4x = -26
x = 6.5
<u>Nora and Lila be on the same page of the book after 6 days and a half.</u>
<u>3.</u> What page will they be on?
Nora : 128 + 8 (6.5) = 128 + 52 = 180
Lila : 102 + 12 (6.5) = 102 + 78 = 180
<u>Nora and Lila be on the page 180</u>
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
So to find the x vertex u have to apply the formula x= -b/2a so it will be
x= -(-4)/2(1)
x= 4/2
x= 2
and to find the y vertex u just substitute the x value into the original equation so it will be
y= (2)^2-4(2)+1
y= 4-8+1
y= -3
so the coordinates of the vertex are (2,-3)
