He could use a $10 & $1 bill! This would leave him with only having to get $0.49 in change.
Answer:
y-intercept=400 x intercept=8
Step-by-step explanation:
Answer:
A quadratic equation is of the form:
.....[1] where
a. b and c are coefficient and x is the variable.
The solutions of the equation are;
![x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Given the function: ![f(x) = 6x^2+12x-7](https://tex.z-dn.net/?f=f%28x%29%20%3D%206x%5E2%2B12x-7)
To find the zero of this function.
Set f(x) = 0
⇒![6x^2+12x-7=0](https://tex.z-dn.net/?f=6x%5E2%2B12x-7%3D0)
On comparing this with equation [1] we have;
a = 6, b = 12 and c = -7
then;
![x = \frac{-12\pm\sqrt{(12)^2-4(6)(-7)}}{2(6)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-12%5Cpm%5Csqrt%7B%2812%29%5E2-4%286%29%28-7%29%7D%7D%7B2%286%29%7D)
![x = \frac{-12\pm\sqrt{144+168}}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-12%5Cpm%5Csqrt%7B144%2B168%7D%7D%7B12%7D)
or
![x = \frac{-12\pm\sqrt{312}}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-12%5Cpm%5Csqrt%7B312%7D%7D%7B12%7D)
or
![x = \frac{-12\pm 2\sqrt{78}}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-12%5Cpm%202%5Csqrt%7B78%7D%7D%7B12%7D)
![x = \frac{-6\pm \sqrt{78}}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-6%5Cpm%20%5Csqrt%7B78%7D%7D%7B6%7D)
Therefore, the zeros of the quadratic function f(x) are;
and ![\frac{-6-\sqrt{78}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-6-%5Csqrt%7B78%7D%7D%7B6%7D)
Answer:
6
Step-by-step explanation:
84 = 3 x 28
56 = 2 x 28
Minimum number of square plot, each square is 28 x 28
the number is 3 x 2 = 6
Answer:
0.36
Step-by-step explanation:
Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case
From the above question:
1 pack = 1/12 of a case.
1/12 of a case = 1 pack
1 case = x packs
Cross Multiply
1/12 × x = 1 × 1
x = 1 / 1/12
x = 1 × 12/1
x = 12 packs
This means, 1 case of drinks contains 12 packs of drinks
We are also told that: a case of the drink cost 25.92
This means the cost of 12 packs of drinks = 25.92
We are also told that:
a bottle is 1/6 of pack
1/6 pack = 1 bottle
1 pack = x bottles
Cross Multiply
1/6 × x = 1 × 1
x = 1 / 1/6
x = 1 × 6/1
x =6 bottles
This means, 1 pack of drinks contains 6 bottles of drinks
Hence:
12 packs of drinks = 25.92
1 pack of drinks = x
Cross Multiply
12x = 25.92
x = 25.92/12
x = 2.16
1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16
Therefore:
6 bottles of drinks = 2.16
1 bottle of drink = x
Cross Multiply
6x = 1 × 2.16
x = 2.16/6
x = 0.36
Therefore, the price per bottle in a case is 0.36