what is the least common denominator of the rational expressions below? 1/x^2-4/3x^2+15

Answers

Answer 1
Answer:

Answer:

3x^2(x+5)

Step-by-step explanation:


Related Questions

A quality-control center finds that 2 out of 250 toy trains are defective. How many trains would they expect to be defective in a batch of 10,000?A.80 B.40 C.250 D.125
Solve the equation x+10=30
Money market funds usually offer all the following advantages except: A. Higher returns than savings or checking accounts. B. Deposit insurance. C. Wire transfer privileges. D. Check writing privileges.
What is the formula for finding a1 in the geometric series sn=48455, r=3.2, n=3?
the balance in joans savings account tripled during the year. Joan then withdrew $500, and the resulting balance was $100. what was the balance in the account before ir tripled

293 ÷ 42
≈ 280 ÷ 40
=____

Answers

I really don't know what you are asking for but 280/40 is 7.

Answer:

7

Step-by-step explanation:

What is the area of this figure

Answers

Answer:

247 yd²

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

2 rectangles and one triangle "at the top".

these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.

my approach is to pick the first rectangle to be the one extruding one to the right.

R1 = 11×5 = 55 yd²

the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top

R2 = 8 × (13+5) = 8×18 = 144 yd²

and the area of a triangle is

baseline × height / 2

we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.

so, we have

T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²

so, in total we have

F = 55 + 144 + 48 = 247 yd²

The graph of f (x)=√x is transformed to create thegraph of g (x)= -2√x+6. Which of these describes a
transformation used to create the graph of g?

Answers

The transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.

The "-2" in the equation of g(x) reflects a vertical stretch by a factor of 2, which causes the graph to become narrower and steeper than f(x).

The "+6" in the equation of g(x) reflects a vertical shift upward by 6 units, which moves the entire graph of g(x) upward by 6 units.

Therefore, the transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.

PLEASE HELP! How do I solve this problem?

Answers


The toughest part of this problem could be deciding what names to give the quantities of one-Euro and two-Euro coins.

-- I called the number of one-Euro coins ' N '.
Each of them is worth 1 Euro, so all ' N ' of them are worth ' N ' Euros.

-- I called the number of two-Euro coins ' T '.
Each of them is worth 2 Euros, so all ' T ' of them are worth ' 2T ' Euros.

-- The total number of coins in Penny's pocket is (N + T), and it says there are 11.

-- Their total value is (N + 2T), and it says the total value is 18.

So now you have two equations, with two unknowns.

               N + 2T  =  18
               N +  T  =  11

Subtract the bottom equation from the top one, and you get:

          (N - N) + (2T - T)  =  (18 - 11)

                             T        =      7         (there are 7 two-Euro coins in her pocket)

That right there is the answer to the question, so you don't need to go
any farther.  But if you wanted to, you could also figure out how many
one-Euro coins there are in her pocket.


Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y.2x9y4 + 4x6y3
2x3y2 + 4xy
2x3y2 + 4y2
2x3y2 + 4y

Answers

Answer:

Option 4th is correct

2x^3y^2+4y

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

(10x^6y^3+20x^3y^2)/(5x^3y)

To simplify this expression:

GCF of 10x^6y^3 and 20x^3y^2 is, 10x^3y^2

then;

(10x^3y^2(x^3y+2))/(5x^3y)

2y(x^3y+2)

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

2x^3y^2+4y

Therefore, the simplified expression is, 2x^3y^2+4y

(10x^6y^3 + 20x^3y^2) / 5x^3y

10x^6y^3 / 5x^3y ⇒ 2x^3y^2
20x^3y^2 / 5x^3y ⇒ 4y

2x³y² + 4y   This is the simplified answer. The last option.

Most of the seats (was/were) taken?

Answers

“were” because it is referring to more than 1 seat. “were” is plural so it fits with multiple seats