Write an equation that defines me) as a trinomial where m(x)=(3x-1)(3-x)+4x^2+19

Use the GCF and the distributive property to write 12 + 39 as a product. Then check your answer.

Anika [276]

<span>The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 39 are 1, 3, 13, and 39. A GCF, or greatest common factor, is the largest (greatest) number that divides two numbers. From the lists, we see that this is 3. If we factor out the 3 from both 12 and 39 essentially undoing the distributive property, we are left with the product 3 * ( 4 + 13 ).</span>

6 0

3 years ago

20 points! o(*￣▽￣*)\

Hatshy [7]

Answer:

$\displaystyle y=8x$

Step-by-step explanation:

We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.

So, we will first need to determine the slope. We can use the slope formula:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Where (x₁, y₁) and (x₂, y₂) are two points.

We have three points: (1, 8), (2, 16), and (3, 24).

Let’s pick two. We can use (1, 8) and (2, 16).

So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:

$\displaystyle m=\frac{16-8}{2-1}$

Evaluate:

$\displaystyle m=\frac{8}{1}=8$

So, our slope is 8.

Now, we can determine the equation using point-slope form:

$\displaystyle y-y_1=m(x-x_1)$

Where m is our slope and (x₁, y₁) is a point.

We know that the slope is 8, so we will substitute 8 for m.

We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:

$\displaystyle y-8=8(x-1)$

Solve for y. Distribute the right:

$\displaystyle y-8=8x-8$

Add 8 to both sides:

$\displaystyle y=8x$

And we have our equation.

Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.

5 0

3 years ago

Read 2 more answers

What's is the converse of the statement?

Marrrta [24]

The definition of converse is to switch the hypotheneus and the conclution. So in this case your answer is"If 2x is even, then x is odd" which means the answer is C.

3 0

3 years ago

Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km t

german

Answer:

4 km/h

Step-by-step explanation:

We are told that Dina and Masha started out on a 10 km bike path at the same time.

Dina's biking speed is 5 km/h.

Let us find taken by Dina to cover 10 kn distance.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5\frac{km}{hr}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5}\times \frac{hr}{km}}$

$\text{Time taken by Dina to cover 10 km}=2hr$

Therefore, Dina took 2 hours to complete 10 km.

Since both started at the same time, therefore, Masha also took 2 hours to complete 2 km less than Dina.

Let us find distance covered by Masha.

$\text{Distance covered by Masha}=10\text{ km}-2\text{ km}=8\text{ km}$

Now let us find Masha's biking speed.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Masha's biking speed}=\frac{8\text{ km}}{2\text{ hour}}$

$\text{Masha's biking speed}=4\frac{\text{ km}}{\text{ hour}}$

Therefore, Masha's biking speed is 4 km per hour.

4 0

3 years ago

A rectangular swimming pool measures 50 meters in length and 25 meters in width. What are the length and width of your scaled dr

morpeh [17]

Answer:

10 cm by 5cm

Step-by-step explanation:

We know that for every 5 meters, there will be 1 centimeter. The pool is 50 meters by 25 meters. So to find this in terms of centimters, divide by 5 to get 10 cm by 5 cm.

7 0

4 years ago