Find the domain for the rational function f(x)=x+1/x-2

Answer:

slope: -3

y-intercept: 9

Step-by-step explanation:

To find the slope and y-intercept, we can manipulate the equation to slope-intercept form. Slope-intercept form is y=mx+b where m is slope and b is y-intercept.

[tex]3x+y-9=0[/tex]        [subtract both sides by 3x]

[tex]y-9=-3x[/tex]            [add both sides by 9]

[tex]y=-3x+9[/tex]

Now, our equation is in slope-intercept form. We can see that the slope is -3 and the y-intercept is 9.

Step-by-step explanation:

[tex] \sqrt[6]{5} \times \sqrt[2]{5} [/tex]

[tex] = {5}^{ \frac{1}{6} } \times {5}^{ \frac{1}{2} } [/tex]

[tex] = {5}^{ \frac{1}{6} + \frac{1}{2} } [/tex]

[tex] = {5}^{ \frac{1 + 3}{6} } [/tex]

[tex] = {5}^{ \frac{4}{6} } [/tex]

[tex] = {5}^{ \frac{2}{3} } [/tex]

[tex] = \sqrt[3]{ {5}^{2} } (ans)[/tex]

Step-by-step explanation:

cho f(t)=(t-4)u(t-2)phep bien doi laplace la

F(s)=e^-2s/s^2-2e^-2s/s62

Answer:

5/2

Step-by-step explanation:

The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.

pls snap the picture well so that the pre information can be seen and considered

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

Step-by-step explanation:

Let's change 2 2/3 cups to 4/3 cups and change 6 3/4 cups to 18/4 cups. Okay now we need to find a number 4 and 3 both go into bucause they're the numbers on the bottom or the denominator 4 and 3 both go into 12 so now we put our numerator (the numbers on top) over 12.

The sum is now: 54/12 + 16/12 let's change that to 4 and 4/12 + 1 and 4/12= 5 and 8/12 simplify that to 5 and 2/3

Answer:

13-3=10

10-4=6

Step-by-step explanation:

man id hate to have to do this work literally just use your fingers or something

[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]

Step-by-step explanation:

GIVEN =

d= 49cm

[tex]\pi = \frac{22}{7} [/tex]

To find = Circumference of a circle

SOLUTION =

CIRCUMFERENCE OF THE CIRCLE = πd

[tex] \frac{22}{7} \times 49[/tex]

= 22 × 7

154cm

the circumference of the given circle is 154cm

Answer:

Step-by-step explanation:

5) diameter = d = 49 cm

Circumference = πd

                         [tex]= \frac{22}{7}*49\\\\= 22 *7\\\\= 154 \ cm[/tex]

6) d = 20 mm

Circumference = π* 20

                         = 20π mm

Answer:

Yes and 60 mi/h

Step-by-step explanation:

The slope of a distance-time graph represents the spped of an object. since the slope has been uniform, the body was travelling with a constant speed that is 120/2=60 mi/h

Answer:it’s A

Step-by-step explanation:

took the test

Answer:

Irrational

Step-by-step explanation:

The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.

Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.

Answer:

235 miles

Step-by-step explanation:

80(5 7/8÷ 2)

Answer: 360 - 44 - 80 = 236

236 ÷ 2 = 118

both angle equal to 118

Step-by-step explanation:

The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We know that kite is quadrilateral, having :

It has one pair of opposite congruent angles.

One diagonal is bisected.

The top and bottom angles are bisected but

As we know from the kite properties it has one pair of opposite congruent angles

From the properties of the quadrilateral the sum of the interior angles is 360 degrees

44 + angle 1 + angle 2 + 80 = 360

Angle 1 = angle 2 = x(say)

44 + x + x + 80 = 360

2x + 124 = 360

2x = 236

x = 118 degrees

Angle 1 = angle 2 = 118 degrees

Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ5

Answer:

Answer:

Step-by-step explanation:

                         The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided. So the probability of rolling a five is 1/6. 2) What is the probability that you will pull a heart out of a standard deck of cards?

Answer:

Please show an image

Answer:

x = 2y

Step-by-step explanation:

we don't need to do complicated trigonometric conversions. just try to express x by a term of y (or vice versa) and look.

so, starting with x = 2y.

if that is the case, then what is our equation looking like ? is it true ?

sin(2y - y)/sin(y) + cos(y - 2y)/cos(y) = 2

sin(y)/sin(y) + cos(-y)/cos(y) = 2

1 + cos(-y)/cos(y) = 2

cos(-y)/cos(y) = 1

cos(-y) = cos(y)

and yes, this is indeed true for all y. cos decreases from 1 to -1 with the increase of the absolute value of the angle from 0 to 180 degrees (meaning we could go up or down the same angle from 0, and cos would be the same), and then increases again to +1 for the increase of the absolute value of the angle from 180 to 360 degrees. and then it all starts again. and again, and again, ...

so, since the original equation is true under the assumption x=2y, this must be the correct option.

Answer:

x = -5

Step-by-step explanation:

Isolate the variable x:

-3x = 15

Since x is being multiplied by -3, we must find a way to cancel it out. To cancel -3 being multipled, divide by -3 instead. Remember, whatever we do to one side of the equation, we must do to the other!

-3x ÷ -3 = 15 ÷ -3

1x = -5

x = -5

Answer:

[tex] - 3x = 15 \\ \frac{ - 3x}{ - 3} = \frac{15}{ - 3} \\ x = - 5[/tex]

Answer:

a = 60°/2 = 30°

b = 84/2 = 42°

c = (100+60)/2 = 80°

d = 360-100-60-84 = 116°

Answered by GAUTHMATH

Answer:

25

Step-by-step explanation:

180-90-65 = 25

Opposite angles are same

Answer:

x = 3

Step-by-step explanation:

Use FOIL method

(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)

                     = 3x² - 8x - 15x + 40        {Combine like terms}

                     = 3x² - 23x + 40

(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)

                      = 24  - 4x - 18x + 3x²         {Combine like terms}

                     = 3x² - 22x + 24  

(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13

3x² - 23x + 40 = 3x² -22x + 24  + 13

3x² - 23x  + 40 - 3x²  + 22x  - 24 - 13 = 0

3x² - 3x² - 23x + 22x  + 40 - 24 - 13 = 0   {Combine like terms}

0   - x  = 0

 -x +3= 0

         3 = x

x =3

Answer:

Step by Step Solution

More Icon

STEP

1

:

3

Simplify ——

x2

Equation at the end of step

1

:

3

((((2•(x2))-5x)-——)+2x)-3

x2

STEP

2

:

Equation at the end of step

2

:

3

(((2x2 - 5x) - ——) + 2x) - 3

x2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

4

:

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

Answer:

The number is 4875

Step-by-step explanation:

Step-by-step explanation:

We must prove that

cos²a(csc²a-cot²a) = cos²a

If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.

We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that

cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get

cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))

Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get

cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)

= cos²a(1)

= cos²a

you have to plug in the x value to discover the y

y= 4.3 x 1

y = 4.3

so, the ordered pair is (1, 4.3)

hope it helps :)

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

Answer:

6-12

24-48

6-2424-196dirst 6 multiplied by four same next series