Answer:
-13x^2 + 6x + 11
Step-by-step explanation:
Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope
---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to
For y=0
so
6 is the maximum number of movies that Elyse can rent on line
Answer:
<h2>
</h2>
Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
<h3>
</h3>
where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
<h3>
</h3>
So the formula for the variation is
<h3>
</h3>
From the question
when x = 4
<h3>
</h3>
Hope this helps you
----------------------------------------------------------------------------
Find total number of integers
----------------------------------------------------------------------------
Number of integers from 1 to 100 = 100
There are 100 numbers altogether
----------------------------------------------------------------------------
Find total numbers that can be divided by 2
----------------------------------------------------------------------------
Number that are multiples of 2 = 100 ÷ 2 = 50
50 of the number are multiples of 2
----------------------------------------------------------------------------
Find total numbers that are multiples of 3
----------------------------------------------------------------------------
Numbers that are multiples of 3 = 100 ÷ 3 = 33 R 1
33 of the numbers are multiples of 3
Of the 33 numbers that are multiples of 3, half of the numbers are even and had been included in multiples of 2.
33 ÷ 2 = 16 R 1
33 - 16 = 17
17 of the numbers are multiples of 3
----------------------------------------------------------------------------
Total numbers that can be multiples of 2 or 3
----------------------------------------------------------------------------
50 + 17 = 67
----------------------------------------------------------------------------
Total number that are neither multiples of 2 nor 3
----------------------------------------------------------------------------
100 - 67 = 33
----------------------------------------------------------------------------
Ans: 33 integers are neither multiples of 2 nor multiples 3
----------------------------------------------------------------------------
