Answer:
41
Step-by-step explanation:
5 integers with an average of 44
⇒ sum of the integers = 5 x 44 = 220
The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x
The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52
Therefore, the remaining two integers are less than 50.
The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25
25 x 50 52 52
To find the last unknown integer :
⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220
⇒ x = 41
Therefore, the integers are:
25, 41, 50, 52, 52
(3x^2 - 2x)(x + 4)
<em><u>First step would be: distributive property.</u></em>
3x^3 + 12x^2 - 2x^2 - 8x
<em><u>Combine like terms.</u></em>
3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.
Your answer is D.
The equation given in the question is
2s + s + 12 = 132
3s + 12 = 132
3s = 132 - 12
3s = 120
s = 120/3
= 40
From the above deduction we can see that the value of the unknown variable comes out to be exactly 40. This is possible because there is a single unknown variable and a single equation to get the value of the variable from. So the correct option among all the options given in the question is option "D".
Answer:
33
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x)
f(- 3) = - (- 3)³ + (- 3)² + (- 3) = - (- 27) + 9 - 3 = 27 + 9 - 3 = 33
Answer:
x=9.79
Step-by-step explanation:
firstly find the hypotenuse of the first triangle
sin45=12/h
sin45h/sin45=12/sin 45
h=16.9
after finding the hypotenuse you can then use it to find x by using tan
tan60=16.9/x
tan60x/tan60=16.9/tan60
x=9.79
I hope this helps!!