Answer:
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Step-by-step explanation:
2(4y-7)+9y=-31
8y-14+9y=-31
<u>y=</u><u> </u><u>-</u><u>1</u><u>7</u>
<u>x=</u><u> </u><u>-</u><u>7</u><u>5</u>
Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
<h3>
Answer: x = 1</h3>
=====================================
Explanation:
- Step 1) Start at -1 on the y axis.
- Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
- Step 3) Mark the point of intersection. Let's call it point A.
- Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.
All of this is shown in the diagram below.
Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.
Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.
Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.
A is the correct answer because the parabolas never touch.
It will take 5.83 hours for the bacteria to reach 1119.
<h3>What is exponential Growth ?</h3>
Exponential growth is when the quantity increases according to the function

It is given in the question that
Initial number of Bacteria is 50
After 3 hours the bacteria has increased to 80
The bacterial growth is an exponential growth


Applying log on both sides
1.6 = 3*k
k = 1.6/3
k = 0.533
if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119

Therefore it will take 5.83 hours for the bacteria to reach 1119.
To know more about exponential growth.
brainly.com/question/11487261
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