8a+16=32
-16 -16 (subtract 16 on both sides)
8a=16
÷8 ÷8 (divide 8 on both sides to get "a" by itself)
a=2
Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 25
The sample mean is 
The standard deviation is 
Let assume the level of significance of this test is 
The null hypothesis is 
The alternative hypothesis is 
Generally the degree of freedom is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of is
From the value obtained we see that 
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Answer:
i really really like ya cut g
Step-by-step explanation:
Answer: 15x-30
Step-by-step explanation:
This is a composite function, which means you are combining two functions together. This can seem tricky, but once you understand how to break these problems into pieces it becomes much easier.
g(f(x)) can be read as g of f of x. Which means we are plugging the function f(x) into the function g(x). Think of it like this, if I were to ask you to find g(3) you would need to plug the value 3 into the function g(x). This would look like this: g(3) = 5(3) So g(3)= 15
However, when we are working with a composite function instead of a whole number we want to first look at the second function, so that we can rewrite the problem. In this problem f(x) = 3x -6
So, I can rewrite this as g(3x -6)
- Now, all you have to do is plug this function into g (x) just like I plugged in the value of 3 above. This will look like this:
g(3x-6) = 5(3x-6)
- Then, you just need to multiply each term by 5, following the distributive property:
g(3x-6) = 15x - 30
