The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
× 9x
Write -6x as a difference.
× 9x
Factor out x from x² + 2x.
× 9x
Factor out -8 from -8(x + 2).
× 9x
Factor out x + 2 from the denominator (bottom) of the expression.
× 9x
Reduce the fraction with x + 2
× 9x
Finally,, calculate the product to find your final answer.
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)
Answer:
3 students
Step-by-step explanation:
Twice as many students go to the park than to the theater :
Let number who go the theater = t
Number who goes to park = 2t
5 more students go to the theater than to the museum
Number who goes to museum = t - 5
If number of students who goes to park = 16
How many students goes to the museum :
2t = 16
t = 16/2
t = 8
Number who goes to museum = t - 5
t - 5 = 8 - 5 = 3
Hence, number of students who goes to the museum = 3
The following are the answers to
the questions presented:
Part 1:
Vertex: <span>(<span><span>−3</span>/ 2</span>,<span> 11/2</span>)</span>
Axis of
symmetry = x = -3/2
Domain = all
real numbers
Range = <span>y </span><span>≤ </span>11/2
Part 2:
A quadratic equation is symmetrical around its vertex. The
equation for the axis of symmetry is x = -3/2 since the equation is in terms of
x. Since no value of x is undefined, then the domain of the equation is clearly
all real numbers. Since the value of “a” is negative, then that means the y
coordinate of the vertex is the maximum value so the range will never get above
11/2. I am hoping that these answers have satisfied your queries and it
will be able to help you in your endeavors, and if you would like, feel free to
ask another question.
Answer:
x=5 and y=7
Step-by-step explanation:
The opposite parallel sides of any rhombus are going to be equal.
a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.
b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.
a.) x+14 = 5x-2
b.) 3y-3 = 2y+4
