Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).

Why is (x-3) NOT a factor of x3+2x2-5x-6

ivolga24 [154]

As the expression is not equal to zero on x=3, x-3 is not a factor of given expression

Step-by-step explanation:

Given expression is:

$x^3+2x^2-5x-6$

We have to check if x-3 is a factor of given expression

In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.

If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.

So putting x=333 in expression

$=(3)^3+2(3)^2-5(3)-6\\= 27+2(9) - 15-6\\= 27+18-15-6\\= 45-21\\=24 \neq 0$

As the expression is not equal to zero on x=3, x-3 is not a factor of given expression

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

8 0

3 years ago

Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni

N76 [4]

Answer:

The shortcuts is

Divide number of units by 100

Step-by-step explanation:

From the question we are told that

insulin u-100 is $L = 100 \ unit /mL$

From the data given above we see that

100 units of insulin u-100 is contained in 1 mL

So 1 unit of u-100 is contained in x mL

=> $x = \frac{1}{100} \ mL$

This means that a unit of insulin u-100 occupies $x = \frac{1}{100} \ mL$

So we can represent a single unit of insulin u-100 as $\frac{1}{100} \ mL$

Now if 1 unit of insulin u-100 is represented as $\frac{1}{100} \ mL$

Then y unites of insulin u-100 is represented as z

So

$z = \frac{y}{100} \ mL$

From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100

6 0

2 years ago

Which number can each term of the equation be multiplied by to eliminate the fractions before solving

zhuklara [117]

Answer:

Answer D: 12

Step-by-step explanation:

Three distinct denominators are shown here: 4, 3 and 2. The LCD is 12.

This corresponds to answer D.

4 0

2 years ago

Given: KLMN is a rectangle m∠NKM = 58° MP −∠ bisector of ∠KML Find: m∠KPM

PilotLPTM [1.2K]

According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.