Write the equation of a line with a slope of 4 and a y-intercept of −3. 4x + y = −3 4x – y = −3 y = −3x + 4 y = 4x − 3
Answers
The slope-intercept form equation of a line is
In this case, since the slope is 4 and the y-int. is -3, our equation must be
y=4x-3
4 is the slope and -3 is the y intercept
By plugging these values into the slope intercept form: y=mx+b I came up with the previous answer-y=4x-3
m= the slope, and b=the y intercept
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The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. What is the machine’s value after 5 years? Round your answer to the nearest integer
Use elimination method to solve5x+y=-107x-3y=-36
Find The Slope(-4, 6) and (-2,1)
Answers
Answer:
11.41= 6x=2.11
x=1.35
Step-by-step explanation:
B) 5 feet
C) 60 feet
D) 100 feet
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Answer:
The answer is D
Step-by-step explanation:
Final answer:
Lacking the graph or a function showing the ball's trajectory, the question cannot be answered at this point. However, it can usually be solved using kinematics, assuming we have initial velocity, throw height, and acceleration due to gravity (-9.8 m/s^2).
Explanation:
Unfortunately, without the actual graph or a function representing the path of the ball, it's not possible to accurately answer the question, 'After ten seconds how high was the ball (round to the nearest foot)?'. In physics, typically, we could use the equations of kinematics to solve such a problem if we have the relevant data, which includes initial velocity, the height from which the ball was thrown, and the acceleration due to gravity, which is -9.8 m/s^2. These equations particularly apply to a scenario such as this where Andy throws a ball from top of a building and watches it hit the ground.
Learn more about Physics of Projectile Motion here:
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Answers
Answer:
mean = 5
Step-by-step explanation:
the mean is calculated as
mean = =
=
= 5
3 + 10 + 17 + 24 + ...
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The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Answers
Answer:
Step-by-step explanation:
The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).
To solve for \(x\), we need to isolate the exponential term, \(e^x\).
Here are the steps to solve the equation:
1. Add 1 to both sides of the equation to isolate the exponential term:
\(8e^x = 1\)
2. Divide both sides of the equation by 8:
\(\frac{{8e^x}}{8} = \frac{1}{8}\)
3. Simplify:
\(e^x = \frac{1}{8}\)
4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:
\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)
5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:
\(x = \ln\left(\frac{1}{8}\right)\)
6. Use the properties of logarithms to simplify further:
\(x = \ln(1) - \ln(8)\)
7. Simplify:
\(x = -\ln(8)\)
Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).