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torisob [31]
3 years ago
11

Factor out 6x3 - 12x2 + 9x completely.

Mathematics
1 answer:
Radda [10]3 years ago
8 0

Answer:

-3x x(2x²+4x-3)

Step-by-step explanation:

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A road repair crew spread 9/10 of a ton of gravel evenly over 3 feet of road. How many tons of gravel did they spread on each fo
Maru [420]

If 9/10 tons of gravel got spread over 3 feet, then how much gravel is on each foot? Well, it's a ratio.

9/10 tons : 3 ft

So, we divide each side of the ratio by 3.

3/10 tons : 1 ft.

So, that 3/10 tons of gravel on each foot of road.

5 0
3 years ago
Read 2 more answers
F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
......,................​
dem82 [27]

Answer:

A

Step-by-step explanation:

Given

4n² + 4(4m³ + 4n² ) ← distribute terms in parenthesis by 4

= 4n² + 16m³ + 16n² ← collect like terms

= (4n² + 16n²) + 16m³

= 20n² + 16m³

= 16m³ + 20n² ← in standard form → A

3 0
3 years ago
Makayla is teaching Rodney how to construct a square inscribed in a circle.
Yuliya22 [10]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
Gwar [14]

Answer:” use

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

Let x be the fluid ounces of milk does Monica use.

As per the statement:

Monica uses 3 tablespoons of milk in her custard recipe.

It is also given that:

The ratio of tablespoons to fluid ounces is 2 : 1.

by proportion definition we have;

by cross multiply we have;

3 = 2x

Divide both sides by 2 we have;

therefore, fluid ounces of milk does Monica use.”

Step-by-step explanation:

9 0
2 years ago
Read 2 more answers
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