Answer:
8a+13b
Step-by-step explanation:
First start by multiplying the coefficient with the parantheses.
3(2a+3b)+2(a+2b)
6a+9b+2a+4b
8a+13b
This equation cannot be further simplified.
Answer:
Step-by-step explanation:
z value of 14.9 = (16.3 - 14.9) / 2
= 0.7
= .7580
z value of 12.9 = (16.3 - 12.9) / 2
= 1.7
=.9554
Required probability = .9554 - .7580
= .1974
or 19.74 % .
Answer:
y = 
Step-by-step explanation:
Hello!
The graph linked above is what is known as a "Reciprocal Graph"
A reciprocal in math is a multiplicative inverse or reciprocal for a number x.
For example the reciprocal of 1/2 is:
With this in mind we know that our graph will have the function 
Shown below is the graph of
Answer:
- Yes it is a right triangle
- The side lengths satisfy the Pythagorean theorem equation
Step-by-step explanation:
We can test these numbers to see if they satisfy the Pythagorean theorem equation:
15² = 9² + 12²
225 = 81 + 144 . . . . true
Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.
____
You can recognize that the ratio of side lengths is ...
9 : 12 : 15 = 3 : 4 : 5
Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.
For #6;
We know that there are 46% male students and 30% of them are seniors. This means that we have to assume that 30% of the male students are seniors and that 30% of the female students are seniors. Taking 30% of 46% gives us 13.8%.
For #7;
We are looking for the possibility that we choose a junior student (22%) or a sophomore student (28%). This adds up to 50% (22%+28% = 50%). That is out answer.
