To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
You can get the app Air Math I have the app and it helps a lot
The rate of temperature rise is 2 degrees/minute.
The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius
When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b
Part A
The relation is y = 2x + 4
Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C
Answer: 34°C
Answer:
C. Surveys
Step-by-step explanation:
A primary source of information is the gathering of data that hasn't already been collected.
One of the best ways is to use a market research survey.
A, B, and D are wrong. They are all secondary sources — they provide information that someone else has generated.
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Step-by-step explanation:
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