Fraction is 2.161616/1000000
mixed number is 2 161616/1000000
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.

The Farley family bought 3 hot dogs and 4 juices for $9.15.

Now, we subtract these equations.

Since
has reversed coefficients, it gets eliminated. Now solve for x.



NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.




= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =



Rate of change = 9
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• tan x = 
• sec x =
, csc x = 
Consider the left side with x = Θ

=
=
× 
= 
=
× 
= secxcscx = right side ⇒ verified
Answer: The man has 10$.
Step-by-step explanation:
We start with the number 60. He sells the goat for 70 dollars, and makes a 10 dollar profit. Then, he buys it for 80$, leaving him with 0. But then he sells it for 90$, making another profit of 10$.