Find the inverse of the function y= -3/(x+4)
Answers
y = -3/(x+4)
Next, you want to get the (x+4) to the other side. Since it's being divided, multiply this number on both sides.
y = -3/(x+4) ⇒ (x+4)y = -3
Now, you need to get y on the opposite side. Divide both sides by y.
(x+4)y = -3 ⇒y÷ (x+4)y = -3 ÷ y
The y's cancel on the left, so you would have the equation:
x+4 = -3/y
Now to get x by itself, subtract 4 from both sides.
x+4 = -3/y
-4 -4
⇒x = -3/y -4 is your final answer.
∴
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Answer:
c
Step-by-step explanation:
35 is greater than the other options.
Answer:
the correct answer is c
Step-by-step explanation:
Which steps would allow him to eliminate the y terms in the system of equations?
Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.
Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.
Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.
Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.
Answers
Answer:
Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.
Step-by-step explanation:
To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.
2x + 3y = -1 (1)
3x - 5y = 10 (2)
The easiest way to do this is to multiply Equation (1) by 5
and Equation (2) by 3.
5 × [2x + 3y = -1]
3 × [3x - 5y = 10]
Then, add the two equations.
10x + 15y = -5
9x - 15y = 30
19x = 25
Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.
Answers
The correct answer is:
14 ft.
Explanation:
Let x be the height of the street lamp. This is one leg of a right triangle.
The other leg is formed by the combination of the length of the shadow and the distance Dr. Black is standing from the lamp. This is 5+20 = 25.
The angle of elevation is 30°. Comparing the given sides to this angle, we have the side opposite the angle (x) and the side adjacent to the angle (25). We know that opposite/adjacent is the ratio for tangent; this gives us the equation:
Answers
If a person is not healthy, then he or she will find it very difficult to enjoy life. Balanced food, fresh air, exercise, good posture, plenty of rest, pure water, cleanliness, regular check-ups at the doctor and dentist " all helps keep our body machines running as they should.
A fit person is also more resistant to illnesses. The simplest way of keeping fit is by exercising regularly. But the exercises must be vigorous. Secondly we have to watch what we are eating. There should be enough fibre, protein, fruit, vegetables and vitamins. And of course our bodies need water. Water allows our blood to flow through the blood vessels thus supplying the body with vital nutrients. We must drink about six glasses a day.
We have to get enough sleep. All of us know how cranky we can get if we do not have enough sleep. And what's more " avoid stress, worry and tension, think positive! A bath or a shower every day is a good habit. It makes us clean but it also helps us to fall asleep better. Brushing our teeth is part of keeping clean.
1) 2x + 8y = 20
y=2
Answers
Answer:
2x+8y=20;y=2
Solution :
{x,y} = {2,2}
System of Linear Equations entered :
[1] 2x + 8y = 20
[2] y = 2
Graphic Representation of the Equations :
8y + 2x = 20 y = 2
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 2
// Plug this in for variable y in equation [1]
[1] 2x + 8•(2) = 20
[1] 2x = 4
// Solve equation [1] for the variable x
[1] 2x = 4
[1] x = 2
// By now we know this much :
x = 2
y = 2
We are done
Solution :
{x,y} = {2,2}
Step-by-step explanation:
Answer:
Step-by-step explanation: