All categories

2 years ago

Enter the solutions from least to greatest. (3x -6)(-x +3)=0

Mathematics

1 answer:

DiKsa [7]2 years ago

5 0

Answer:

x = 2, 3.

Step-by-step explanation:

Since the equation equals 0, we can determine that:

3x-6=0

-x+3=0

Let's solve 3x-6=0.

Add 6 to both sides of the equation:

3x=6

Divide both sides by 3:

x=2

Let's solve -x+3=0.

Subtract 3 from both sides of the equation:

-x=-3

Divide by -1:

x=3

You might be interested in

During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 4

Paul [167]

Answer:

Step-by-step explanation:

8 0

2 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y

katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with

center (h , k) and transverse axis parallel to the x-axis is

(x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are (h ± a , k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is 2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0

3 years ago

Read 2 more answers

Which table represents a direct variation function?

Morgarella [4.7K]

Answer:

the 3rd one

Step-by-step explanation:

i just know

IF UR USERNAME IS A JOKE F U. if its not then i support you

5 0

3 years ago

Read 2 more answers

5 x 10^5 is how many times as large as 1 x 10^5?

Oxana [17]

Answer:

5 times as large

Step-by-step explanation:

You can think of "10^5" as "green marbles" if you like. Then your question is ...

5 green marbles is how many times as large as 1 green marble.

Hopefully, the answer is all too clear: it is 5 times as large.

_____

In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

y/x . . . . . tells you how many times as large as x is y.

Here, that looks like ...

$\dfrac{5\times 10^5}{1\times 10^5}\\\\=\dfrac{5}{1} \qquad\text{the factors of $10^5$ cancel}\\\\=5$

4 0

3 years ago

Read 2 more answers

Circle V is shown. Line segment T V is a radius with length 14 feet.

lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

$A=\pi r^2$ , where r represents radius of circle.

Upon substituting $r=\text{14 ft}$ in above formula, we will get:

$A=\pi(14\text{ ft})^2$

$A=\pi(14)^2\text{ ft}^2$

$A=\pi\cdot 196\text{ ft}^2$

$A=196\pi\text{ ft}^2$

Therefore, the area of the circle V is $196\pi$ square feet and option 'c' is the correct choice.

5 0

3 years ago