All categories

3 years ago

(4x – 8)(3x + 9) = 0

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=2,\:x=-3$

Step-by-step explanation:

Considering the equation

$\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

solving the equation

$\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$\mathrm{Solve\:}\:4x-8=0$

$4x-8=0$

$4x-8+8=0+8$

$4x=8$

$x=2$

$\mathrm{Solve\:}\:3x+9=0$

$3x+9=0$

$3x+9-9=0-9$

$3x=-9$

$x=-3$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=2,\:x=-3$

You might be interested in

What's the domain (-2,6),(-5,-11),(3,7),(-5,0)

kodGreya [7K]

The domain is all the x values (range is y values). Remember to put the x values in numerical order.

So: Domain = {-5, -5, -2, 3}.

3 0

3 years ago

Read 2 more answers

Im stuck on this question, plz help

denis-greek [22]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

40 metres covered in 6 seconds

Max speed attained after 6seconds

75 meters covered after 11 seconds

Average Speed for first 40 meters :

Speed = distance / time

Speed = 40m / 6s

Speed = 6.67m/s

To obtain the maximum speed :

Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds

Speed at this point is maximum :

Hence, maximum speed = (35m / 5s) = 7m/s

Suppose, Manuel runs for an additional z seconds after reaching max speed :

Distance from starting line 6+z seconds after race started?

Distance after 6 seconds = 40 metres

Distance after z seconds = 7 * z

Total distance = (40 + 7z)

What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))

40 + 7(x - 6)

3 0

3 years ago

Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h

8_murik_8 [283]

Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

$weight_{unit}=\frac{18oz}{6}=3oz$

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

$fiber=(3oz)(0.51)=1.53oz$

Finally, in each muffin there are 1.53oz of fiber.

6 0

3 years ago

Simplify 3(2x^4*y^5)^2/(6x^3*y^3)^6

Thepotemich [5.8K]

$\dfrac{3(2x^4y^5)^2}{(6x^3y^3)^6}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=\dfrac{3(2^2)(x^4)^2(y^5)^2}{6^6(x^3)^6(y^3)^6}=\dfrac{3(4)x^8y^{10}}{46656x^{18}y^{18}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{12x^8y^{10}}{46656x^8x^{10}y^{10}y^8}=\dfrac{1}{3888x^{10}y^8}$

7 0

3 years ago

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately ho

Julli [10]

70.1 ft² of fabric is needed by Lacy to make the sail boat.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let b represent the base of the triangle and h the height, hence:

sin(60) = h / 18

h = 15.6 feet

sin(30) = b / 18

b = 9 feet

The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²

70.1 ft² of fabric is needed by Lacy to make the sail boat.

Find out more on Trigonometric ratio at: brainly.com/question/6459892

3 0

2 years ago

(4x – 8)(3x + 9) = 0​

(4x – 8)(3x + 9) = 0