Answer:
3x + 21 or 21 + 3x
Step-by-step explanation:
Remark
This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.
Solution
What this is saying is two things.
1. you must multiply both terms on either side of the + sign by the factor outside the brackets.
2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.
3(7 + x) The terms are not the same, so your answer must have a plus sign
Left side of the plus: 3*7
Right side of the plus: 3 * x
The answer then is 21 + 3x
It is more commonly written as 3x + 21
This is my answer. Hope that it will help you.
Answer: 125 ft.
Step-by-step explanation:
Assuming the perimeter of the park is 400 ft, the equation can be represented as
2l + 2w = 400
Since we know that the width is 50 ft shorter than the length, using algebra, you replace the variable w, with
2l + 2(l-50) = 400
Then, solve for variable l, or length
2l +2l - 100 = 400
4l = 500
l = 125
Now, plug in l and solve for w
2(125) + 2w = 400
250 + 2w = 400
2w = 150
w = 75
2(125) + 2(75) = 400
250+150 = 400
400=400
l = 125, w = 75
So the length is 125 ft
We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x = 
OR x = 
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x = 
OR x = 
⇒ x = 
OR x = 
Hence, g^-1(x) = OR x =
Answer:
150 students were not accepted.
Step-by-step explanation:
The ratio right now is 2 to 5 you would need to find an equal ratio with 250 as the second number. 5 is a factor of 250 because if you do 5 x 50 you get 250. So you would multiply 2 by 50 as well which is 100. The ratio is 100 to 250 with 100 being the students being accepted and 250 being the total number of people that applied. Though the question is asking for those that did <em>not</em> pass. If 100 people passed then everyone else out of 250 didn't and 250 - 100 is 150.
