Answer:
Step-by-step explanation:
The given expression is
If we evaluate the expression as it is we will get;
But we want to insert parenthesis so that we will use PEDMAS to obtain 37 as the result.
The only way this can be achieved is when we insert the parenthesis as shown below;
Answer:
After 15 years both the colleges will have same number of students.
Step-by-step explanation:
The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.
So, after x years the number of students of this college will be (1100 + 45x).
Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.
So, after x years the number of students of this college will be (2000 - 15x).
If those two colleges have the same number of students after x years, then we can write
1100 + 45x = 2000 - 15x
⇒ 60x = 900
⇒ x = 15 years.
Therefore, after 15 years both the colleges will have the same number of students. (Answer)
Answer:
Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC
The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so
substitute
we have
remember that
The measures of triangle CGH are 
Triangle GHE
remember that
substitute and solve for m<GEH
The measures of triangle GHE are 
I believe this would be 28 feet. You find this by dividing 7/8 to get the decimal of the fraction. (Which is 0.875) Then multiply by 32 ft to get the answer. Hope this helps!
Though I almost broke my brain while solving what "-3 0 -2 5 0 9 2 5 3 0" means, I can tell you which statements is absolutely incorrect: it is "The function g(x) has a minimum value of 0" (it is incorrect because the maximum value is 9 as table provides).
To solve other problems, look at f(x): if it has the top, where y is the biggest, then it is the maximum value (so if y = 4.5 is the biggest y, first statement is correct); if it has the bottom, where y is the smallest, then it is minimum value (factually, statement 3 will be correct if statement 1 is correct because 9/4.5 = 2). Finally, if f(x) has the top, then statement 4 is correct because f(x) and g(x) would be both constantly decreasing functions.
Hope this helps.
