All categories

3 years ago

Least common denominator?

Mathematics

1 answer:

Over [174]3 years ago

4 0

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

You might be interested in

What is the difference between the height and the slant height of a pyramid?

IRINA_888 [86]

The height is the measurement from the base to the top straight up.

The Slanted height is the height from base to top on one face of the pyramid.

8 0

3 years ago

Read 2 more answers

A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch cost

zaharov [31]

Answer:

8 + 1.50x + 0.75y = 19.25

Step-by-step explanation:

Let the number of additional inch = x

Let the number of toppings = y

From the question,

A 10-inch cheese pizza costs $8.

Each additional inch costs $1.50

Each additional topping costs $0.75.

The equation that represents Josh's pizza is when his total cost amounts to $19.25 is:

$8 + $1.50 × x + $0.75y = $19.25

8 + 1.50x + 0.75y = 19.25

7 0

2 years ago

Which graph represents the solution set of the system of inequalities?

vivado [14]

Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).

Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4

Substituting,
2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one.

6 0

3 years ago

A bottle can hold 2.75 liters of water. About how many gallons can the bottle hold? Round to the nearest hundredth.

Serjik [45]

1 gallon is equal to 3.78541 liters

6 0

3 years ago

Read 2 more answers

Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16

uysha [10]

Answer:

they both has 7 slides and the presentation had a duration of 28 seconds

Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

x=6

so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

2(6)+16

2x6=12 12+16=28 so both of their presentations were 28 seconds

6 0

2 years ago