3x^2-18x+24 find factor

Which of the following statements is true about the function presented in the table?

Lynna [10]

Answer:

C. The slope of the function is -2 and the y-intercept is 4.

Explanation:

The y-intercept is the point when x = 0. On the table when x is 0, y is 4.

The slope of the function is -2 because the y value is going down by 2 for each +1 of x.

x │ y

-2 │ 8

0 │ 4

↓ +1 ↓ -2

1 │ 2

↓ +1 ↓ -2

2 │ 0

5 0

3 years ago

Determine el área del siguiente rectángulo

Arte-miy333 [17]

English ⬇️

So, 8*8=64, and is expressed as 64 square feet. A square has all sides equal. So, since one side is 8 feet long the other sides also have the same length. Area of a rectangle is length multiplied by the width.

Answer?= 8

Spanish ⬇️

Entonces, 8 * 8 = 64, y se expresa como 64 pies cuadrados. Un cuadrado tiene todos los lados iguales. Entonces, dado que un lado mide 8 pies de largo, los otros lados también tienen la misma longitud. El área de un rectángulo es la longitud multiplicada por el ancho.

hola no puedo hablar español así que tuve que traducir espero que esto sea bueno y la respuesta es 8 ¡buena suerte!

5 0

3 years ago

A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,00

mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

$y=ab^x$ ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

$y=95000b^x$ ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

$105000=95000b^7$

$\dfrac{105000}{95000}=b^7$

$\dfrac{21}{19}=b^7$

Taking 7th root on both sides, we get

$\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b$

Put $b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}$ in (ii).

$y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x$

$y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$

Therefore, the required exponential model for the value of home is $y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$ , where x is the number of years after 2011.

5 0

3 years ago

35 points What is an approximate average rate of change of the graph from x = 8 to x = 13

Ghella [55]

Rate of change is -2 because you can do rise over run to find the constant rate of change, and since you are going down you have a negative slope.

4 0

3 years ago

A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it back

Tomtit [17]

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

Always reduce when finding probability

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

3 0

3 years ago