Answer:
8 pounds per week
Step-by-step explanation:
AVG= total/time span
so
AVG= 128/16
AVG= 8 pounds per week
Hope this helps!
Amount paid for the first book is $17.
Amount paid for the second book is 0.75 x 8 = $6
Total amount paid = $17 + $6 = $23
Total full cost of the two books = $17 + $8 = $25
Amount of discount = $25 - $23 = $2
% reduction =
![\frac{2}{25} \times100\%=8\%](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B25%7D%20%5Ctimes100%5C%25%3D8%5C%25)
Therefore, the <span>percent of the total cost of the two books reduced during the sale</span> is 8%
Answer:
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Step-by-step explanation:
An equation in the vertex form is written as
![y = a (x-h) + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%28x-h%29%20%2B%20k)
Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as
![x = -\frac{b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
In this case we have the equation
.
Where
![a = 9\\\\b = 9\\\\c = -1](https://tex.z-dn.net/?f=a%20%3D%209%5C%5C%5C%5Cb%20%3D%209%5C%5C%5C%5Cc%20%3D%20-1)
Then the x coordinate of the vertex is:
![x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B9%7D%7B2%289%29%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B9%7D%7B18%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The y coordinate of the vertex is replacing the value of
in the function
![y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%20%28-0.5%29%20%5E%202%20%2B%209%20%28-0.5%29%20-1%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B13%7D%7B4%7D)
Then the vertex is:
![(-\frac{1}{2}, -\frac{13}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%2C%20-%5Cfrac%7B13%7D%7B4%7D%29)
Therefore The encuacion excrita in the form of vertice is:
![y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
To find the coefficient a we substitute a point that belongs to the function ![y = 9x^2 + 9x - 1](https://tex.z-dn.net/?f=y%20%3D%209x%5E2%20%2B%209x%20-%201)
The point (0, -1) belongs to the function. Thus.
![-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=-1%20%3D%20a%280%20%2B%20%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
![-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9](https://tex.z-dn.net/?f=-1%20%3D%20a%28%5Cfrac%7B1%7D%7B4%7D%29%20-%5Cfrac%7B13%7D%7B4%7D%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B-1%20%2B%5Cfrac%7B13%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5Ca%20%3D%209)
<em>Then the written function in the form of vertice is</em>
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Answer:
The product of 6 and a number
Step-by-step explanation:
There isn't any "real" mathematics needed to find the answer, just common background knowledge:
6x = 6 times x,
and product is referencing multiplication
(Since quotient is for division, difference for subtraction, and sum for addition)
considering we need to represent an expression which uses multiplication in words, the correct answer is:
O the product of 6 and a number