Answer:
g(x) = x^2 + 4x + 4
Step-by-step explanation:
In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.
Given the function;
f(x) = x2 - 6x + 9
a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;
g(x) = f(x+5)
g(x) = (x+5)^2 - 6(x+5) + 9
g(x) = x^2 + 10x + 25 - 6x -30 + 9
g(x) = x^2 + 4x + 4
Answer:
True
Step-by-step explanation:
Cuz if u substitute (3,-3/2) it would work
Y = 1/2x - 3
-3/2 = 1/2(3)-3
-3/2 = 1.5 - 3
-3/2 = -1.5
& -3/2 is -1.5 as a decimal lol
Answer:
a=6
Step-by-step explanation:
Answer:
The critical value is T = 1.895.
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 6
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.895, which is the critical value.
The margin of error is:
![M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301](https://tex.z-dn.net/?f=M%20%3D%20T%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%201.895%5Cfrac%7B18.36%7D%7B%5Csqrt%7B8%7D%7D%20%3D%2012.301)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159
The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761
The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761
Answer:
18 minutes
Step-by-step explanation:
Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:
Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:
Together, in 1 minute they can peel:
- 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes
To peel all the potatoes they need:
- 1 ÷ 1/18= 1 × 18= 18 minutes
So it will take them 18 minutes to peel all the potatoes