what you're trying to do is form an equation for y
6x + 5y = 10
5y = -6x + 10 we need y to be singular so divide by numeral before y
y = - 6x/5 + 10/5
y = - 6x/5 + 2
Answer:
-2x - 10
Step-by-step explanation:
(2x-6) - (4x+4) multiply (4x+4) by -1 -1(4x + 4) = -4x - 4
2x - 6 - 4x - 4 Re-arrange
2x - 4x - 6 - 4
-2x - 10
Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : μ = 15.7
H1 : μ < 15.7
This is a one sample t test :
Test statistic = (xbar - μ) ÷ (s/√(n))
n = sample size = 33
Using calculator :
The sample mean, xbar = 15.41
The sample standard deviation, s = 0.419
Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))
Test statistic = - 3.976
Using the Pvalue calculator :
Degree of freedom, df = n - 1 ; 33 - 1 = 32
Pvalue(-3.976, 32) = 0.000187
Decison region :
Reject H0 if Pvalue < α
Since Pvalue < α ; we reject H0
There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.
9514 1404 393
Answer:
£135.98
Step-by-step explanation:
It cost £135.98 for petrol in April.
