All categories

2 years ago

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

Mathematics

1 answer:

Radda [10]2 years ago

8 0

Answer:

-3x x(2x²+4x-3)

Step-by-step explanation:

You might be interested in

Why does the equation y = 3x + 5 NOT represent a proportional relationship?

Step2247 [10]

Answer:

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

This is the equation of the line in slope intercept form

where

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

3 0

3 years ago

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

F(x) = -3x+17 and g(x) = x^2 -6 find g(5)-f(5)

aniked [119]

Answer:

For the given functions, the value of g(5)-f(5) = 17

Step-by-step explanation:

Here, the given functions are:

f(x) = -3x + 17

$g(x) = x ^2 - 6$

So, f(5) = -3(5) + 17

= -15 + 17 = 2

And $g(5) = (5)^2 - 6 = 25 - 6 = 19$

So, f(5) = 2 and g(5) = 19

⇒g(5) - f(5) = 19 - 2 = 17

Hence, for the given functions, the value of g(5)-f(5) = 17

3 0

3 years ago

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm

IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean $\mu$ is 547 and that the standard deviation $\sigma$ is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

3 0

3 years ago

Montano1993 [528]

Answer:

commutative property

Step-by-step explanation:

commutative property

5 0

2 years ago