1.Consider the system of equations. x-5y=2
3x-10y=11
(a) Jamar rewrote the first equation as –2x + 10y = –4. What justification did he have for doing this?
(b)Jamar combined the equation in Part (a) with the second equation in the system to get x = 7. Explain Jamar’s reasoning.
(c) What is the solution of the system? (d) How do you know, without graphing, that the graph of 4x – 15y = 13 passes through the point whose coordinates are the solution of the system?
Answer:
y = 5
Step-by-step explanation:
Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.
We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.
Answer:
4
Step-by-step explanation:
It works with the second one
Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>Use two points on the graph to determine the value of a and b:</u>
<u>Find the values of a and b:</u>
- f(0) = a*b⁰ = a = 100
- f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2
<u>The function is:</u>