Answer:
10
2
Step-by-step explanation:
if x=0 => y = 2(0)+10= 10
y = mx + c
m = slope factor
=> y = 2x + 10
so, slope factor = 2
<h3>c = 150 - 8s is the required function</h3>
<em><u>Solution:</u></em>
Given that,
Tyrone takes 8 pieces of candy from the bag each time he snacks
After eating 18 snacks, there are only 6 pieces of candy remaining in the bag
The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats.
Therefore,
"c" is the number of pieces of candy remaining in the bag
"s" is the number of snacks Tyrone eats
Thus,
total number of candy in the bag = 
Remaining candy in the bag = Total candy - candy he ate
c = 150 - 8s
Thus the function is found
By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
<h3>How to solve an exponential equation by logarithms</h3>
<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:
- 7ˣ = 3ˣ⁺⁴ Given
- ㏒ 7ˣ = ㏒ 3ˣ⁺⁴ Definition of logarithm
- x · ㏒ 7 = (x + 4) · ㏒ 3 ㏒ aᵇ = b · ㏒ a
- x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3 Distributive property
- x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3 Existence of additive inverse/Modulative and associative properties
- x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3) Existence of multiplicative inverse/Modulative property/Result
By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
To learn more on logarithms: brainly.com/question/20785664
#SPJ1
Use two points from the graph to check if they are constant. In this case let’s use (0,50) & (2,58)
To find slope you have to do the following.
y2-y1 / x2-x1
Plug in the values, 58-50/2-0
This gives you 4.
When you use two other points, in this case (10,90) (20,130) you get a slope of 4.
This means the slope is 4.
We are trying to get an equation of y=mx+b.
We have slope already which is 4. So now we plug in y=4x + b
Now we need to find b. There is an equation to solve for b. Which is b=y1-m(x1)
But b is the y-intercept so there is already a B which is 50
So the table IS a linear equation and the equation is y=4x+50.
Answer:
- 0.092g
- 0.979g
- 0.983g
Explanation: 0.83 > 0.979 > 0.092
