Answer: ik 2/3 Ian one but don’t know about the others
Answer:
![x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B6%20%5Cpm%20%5Csqrt%7B%28-6%29%5E2%20-%204%283%29%288%29%7D%7D%7B2%283%29%7D%20)
Step-by-step explanation:
Given the equation,
, the quadratic formula for solving this equation is given as:
![x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%20)
Where,
a = 3
b = -6
c = 8
Plug in the above values into the quadratic formula.
![x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B-%28-6%29%20%5Cpm%20%5Csqrt%7B%28-6%29%5E2%20-%204%283%29%288%29%7D%7D%7B2%283%29%7D%20)
![x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B6%20%5Cpm%20%5Csqrt%7B%28-6%29%5E2%20-%204%283%29%288%29%7D%7D%7B2%283%29%7D%20)
Answer:
The answer is below
Step-by-step explanation:
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people. Since there are 40 people in total to serve, the number of each ingredient needed is:
Number of each ingredient = total number of people / number of people served by one recipe
Number of each ingredient = 40 / 8 = 5
b) Since each recipe contains 1 1/2 lb (1.5 lbs) of ground beef, the total amount of ground beef needed to feed everyone is:
Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
c) Since one serving would require 8 oz of milk. To serve everyone, the amount of milk needed is:
Amount of milk = 40 people * 8 oz = 320 oz
128 oz = 1 gallon
Amount of milk = 320 oz * 1 gallon / 128 oz = 2.5 gallon
Area = length x width
21 = length x 5
length = 21/5 = 4.2
The length is inversely proportional to the width because as the length increases the width reduces and vice-versa
Answer:
it would be
The dependent variable is distance, the equation is y = 35x, and the dragonfly will travel 840 miles
Step-by-step explanation:
By the graph it can be seen that the distance a dragonfly can travel is dependent on the certain number of hours.
∴ Dependent variable : Distance (on y axis)
The equation of straight line is given by :-
, here m is the slope of the line and c is the initial value of y at x=0.
From the given graph, the slope of the given line passing from (0,0) and (2,70) will be :-
Also, the value of y = 0 at x=0.
∴ The equation of the given line :
At x=24,
∴ The dragonfly will travel 840 miles in 24 hours.