<u>The question is </u>
What is the constant in the expression?
we know that
where
c---------> the cost of Janelle’s cell phone bill
m-------> represents the number of minutes of use
-------> represent the cost per minute (slope of the linear equation)
-------> represent the constant in the expression
therefore
<u>the answer is</u>
The constant is 12
Slope intercept
y=mx+b
m=sllope
given
m=-5
find b
y=-5x+b
given
(2,5)
means x=2 and y=5 is true
5=-5(2)+b
5=-10+b
add 10
15=b
y=-5x+15
It is a geometric sequence. The next two terms are: 0.125, 0.0625
The given sequence is:
2, 1, 0.5, 0.25, . . . .
Let a(n) be the nth term, then in the above sequence
a(1) = 2
a(2) = 1
a(3) = 0.5
a(4) = 0.25
Notice that:
a(2) = a(1) x 0.5
a(3) = a(2) x 0.5
a(4) = a(3) x 0.5
A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.
Therefore this is a geometric sequence with r = 0.5
To find the next two terms, continue the multiplication process:
a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125
a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625
Learn more about sequences here:
brainly.com/question/24989563
#SPJ4
Answer:
4 is the maximum number of ride tickets she can buy
Step-by-step explanation:
Here, r represents the number of ride tickets and f represents number of food tickets.
The system of inequalities is given as:
r+f\geq 16 ....[1]
4r+2f\leq 40 .....[2]
To solve Mathematically:
Multiply equation [1] by -2 we have;
-2r-2f \leq -32 .....[3]
Add equation [2] and [3] we have;
2r \leq 8
Divide both sides by 2 we have;
r \leq 4
Since r must be less than or equal to 4.
You can also see the graph of the given system of inequalities as shown below.
The intersection point is, (4, 12)
Therefore, the maximum number of ride tickets she can buy is, 4
The answer is 0.8084.
Hope this helped!
