Hey there!
These are slope intercept equations, because they have an initial cost and then a cost based on an independent variable, in this case, time spent skating.
Given the information, Ice Dreams equation would be c=1.5h+4 and Skating Paradise would be c=3h+1
Now, we just put them together to make the systems of equations.
c=1.5h+4
c=3h+1
Now, we need to find a point where the two will meet, which will give us our answer. We just need to solve the system.
Let's solve using elimination.We can multiply the top equation by -2 so we can use elimination.
-2c=-3h-8
c=3h+1
We combine the equations..
-c==7
c=7
Now we can plug this into one of the other equations.
7=3h+1
h=2
Now, we have our solution..
(h,c)=(2,7)
Therefore, after two hours, the cost will be the same, and the cost will be seven dollars.
I hope this helps!
Answer:
70
Step-by-step explanation:
too easy
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
Answer: The real solutions of the given equation are x= 1, 4, and 5.
Solution: The value of temperature is -79.6 degree fahrenheit.
Explanation:
The temperature is given in degree celsius and we have find the temperature in degree fahrenheit. The formula to convert the degree celcius in degree fahrenheit is given below,
Where, F is temperature in degree fahrenheit and C is temperature in degree celsius.
Since it is given that the temperature is -62 degree celsius. So put 
in the above formula.
Hence the value of temperature is -79.6 degree fahrenheit.
