Answer:
Step-by-step explanation:
So the question here is asking you to use the quadratic formula which is expressed as: 
A quadratic can generally be expressed as: 
So using the equation you gave: 
We can identify the following values: a=1, b=-5, c=-1
Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.
So plugging in the known values, we get the following equation:
The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.
Answer:
6x12
Step-by-step explanation:
.020 because it is 2 spots behind the decimal
Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Answer:
B
Step-by-step explanation:
Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.
In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.
The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.
Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.
The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha
