Answer:
y = 8/5x - 3
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(-19 - 5) / (-10 - 5)
-24 / -15
= 8/5
Plug in the slope and a given point into y = mx + b, and solve for b
y = mx + b
5 = 8/5(5) + b
5 = 8 + b
-3 = b
Plug in the slope and b into y = mx + b
y = 8/5x - 3
So, the equation is y = 8/5x - 3
To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:
<span>Four times the square of a certain number increased by 6 times the number equals 108.
4x^2 + 6x = 108
The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 </span>
Answer: 
Step-by-step explanation:
Given
Propane produced heat energy of 
The volume of the tank is 
The energy produced by this propane tank is

73 feet per second
Steps-
Miles to cover- 50 miles = 50*5280 feet = 264,000 feet
Time it takes- 1 hour = 1*60*60 seconds = 3,600 seconds
So speed is- 264,000 feet per 3,600 seconds = 264,000 / 3,600 = 73.33 ft per second
<u>Answer-</u>
<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>
<u>Solution-</u>
The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.
We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.
We know that, the conditional probability of occurrence of A given that B occurs is,



Putting these values,
