Answer:
converts Celsius to Fahrenheit.
converts Fahrenheit to Celsius.
Step-by-step explanation:
Write given data in the table
Let the expression for the function be
Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.
Substitute corresponding values into this expression:
Subtract these two equations:
Substitute it into the first equation:
So,
This is the function which converts Celsius to Fahrenheit.
And function
converts Fahrenheit to Celsius.
The function rule in slope-intercept form is y = -4x -2
<h3>What is a function ?</h3>
A function is defined as the mathematical statement which defines relation between a dependent variable and an independent variable.
A function f(x) is graphed on the coordinate plane.
The equation for a straight line is given by
y = mx + c
Where m is the slope and c is the intercept on y axis
The intercept on y axis is -2
c = -2
At x = 0 , y =-2
At x = -1 , y =2
m =(2 -(-2))/(-1-0)
m = -4
Therefore ,the function rule in slope-intercept form is y = -4x -2 .
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Answer:
The interest generated will be $ 51.20.
Step-by-step explanation:
To determine the compound interest on the account with 0.01% interest rate in 5 years compounded quarterly with an initial deposit of $ 1,000, the following calculation must be performed:
1,000 x (1 + 0.01 / 4) ^ 4x5 = X
1,000 x (1 + 0.0025) ^ 20 = X
1,000 x 1.0025 ^ 20 = X
1,000 x 1.05120 = X
1,051.20 = X
1,051.20 - 1,000 = 51.20
Therefore, the interest generated will be $ 51.20.
it is both. why? because 45/5 is greater than 1
Let us try A
If we put x = -3 , then y= 27-36+3+1=-5 , thus it us not the polynomial of given points
Now moving onto B
If x = -3, then y =-81-27+36-3-1=76
If x= -1 , then y=-1-1+4-1-1=0
If x =0, then y=-0-0+0-0-1=-1
If x =1, then y= -1+1+4+1-1=4
Thus it is also not the polynomial with given point.
Now onto c
x= -3 , y=81+27-36+3+1=76
x=0, y = 0+0+0+0+1=1
x= -1 , y = 1+1-4+1+1=0
x=1 , y= 1-1-4-1+1=-4
x=2, y=16-8-16-2+1=-9
Hence C is the polynomial of given points
