All categories

3 years ago

Which of the following is the quotient of rational expressions shown below?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

7 0

Answer: 6x - 3 over x^3

Step-by-step explanation:

You might be interested in

The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa

Sedaia [141]

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means: a>0

"the parabola has x = 2 as an axis of symmetry" means: h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

4 0

3 years ago

A theater has 60 seats on the front row. There are seven additional seats in each following row.

maksim [4K]

Answer:

(a) y(x)=53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7(x)

For raw 1

Y=53+7(1)=60

For raw 2

Y=53+7(2)=67

Therefore, the formula for number of seats at any row will be

y(x)=53+7(x)

(b)

Using the above formula

y(x)=53+7(x)

Replace x with 18 hence

Y(18)=53+7*(18)=179 seats

5 0

3 years ago

The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =

Natali5045456 [20]

For this case, the parent function is given by:
$F (x) = x ^ 2
$
We apply the following function transformation:
Vertical compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
$y = (1/2) * x ^ 2
$
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
$y = (1/2) * (x + 3) ^ 2
$
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
$h (x) = (1/2) * (x + 3) ^ 2 + 2
$
Answer:
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.

3 0

3 years ago

I need help with this one .

skelet666 [1.2K]

Answer:

32/9

Step-by-step explanation:

2 to the fifth power is 32. 3 to the second power is 9.

3 0

3 years ago

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does

disa [49]

Answer:

The correct option is (d).

Step-by-step explanation:

Given that,

Jeff earns $14.00 per hour.

Tom earns half as much as Jeff.

We need to find the amount earn by Tom per hour.

Tom's amount = Jeff's amount/2

So,

$T=\dfrac{14}{2}\\\\T=\$7$

So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.

5 0

3 years ago