Will give brainliest if correct.

Answer:

a pic of ur math?

Step-by-step explanation:

9514 1404 393

Answer:

  a) f: all real numbers except 1 and 2; g: all real numbers except 2

  b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote

  c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2

      g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2

  d) f(x) is also undefined at x=1

Step-by-step explanation:

a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.

The zeros of the denominator of f(x) can be found by factoring it.

  x^2 -3x +2 = (x -1)(x -2)

These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).

  domain of f(x): all real numbers except x=1 and x=2

Then, by inspection, the domain of g is similar, but a little different:

  domain of g(x): all real numbers except x=2

__

b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.

  [tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]

There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*

__

c) The difference between the two functions is that f(x) is undefined at x=1.

  x = -2, -1, 0, 1, 2, 3, 4

  f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2

  g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2

__

d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.

_____

* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.

9514 1404 393

Answer:

  30√2 feet ≈ 42.4 feet

Step-by-step explanation:

If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...

  the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet

Answer:

3n - 7 = 2n + 5

Step-by-step explanation:

n=12

that is the answer

Step-by-step explanation:

First u group them for example

-2x-3x-4y-3y

5+7=12

Answer:

2/5 and 20

Step-by-step explanation:

1/4 = 5/20

2/5 = 8/20

LCD = 20

Answer:

Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.

Explanation:

4 x 4 = 16

3 x 6 = 18

16 + 18 = 34

Answer:

Step-by-step explanation:

Answer:

Each container weigh 10^3pounds

Step-by-step explanation:

The question lacks the necessary values. Let's restructure the question and include values.

Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.

From the question, we are given the following;

Weight of containers full of skeleton = 100000 pounds

Number of containers = 100

Required

Weight of each container

Let's say:

100containers = 100000pounds

1 container = xpound

Cross multiply

100×x = 100,000

Divide both sides by 100

100x/100 = 100,000/100

x = 10,000/100

x = 10^5/10^2

Using the law of indices

x = 10^{5-2}

x = 10^3

Hence the answer in form of a^b is 10^3 pounds.

Answer:

The answer is 75% and 75/100

Answer: ∠A = 70°

because ABC is an  isosceles triangle and AB =  AC

=> ∠B = ∠C = 55°

=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°

Step-by-step explanation:

sorry i can't help :(

Answer:

B and D also intersect at C

Step-by-step explanation: Instructions are unclear but it think that you are supposed to say the other pair that meets in a strait line

Answer:

Step-by-step explanation:

AC² = 25 + 9 - 15 cos120° = 34 - 15(- 0.5) = 41.5 ⇒ AC = √41.5 ≈ 6.442 cm ≠ EC

ΔABC doesn't congruent to ΔEDC

Answer:

12

Step-by-step explanation:

the answer is 12

Answer:    12sq. units

Step-by-step explanation: Because if you take it and say it has 2 for the side and down below it has 6 you times that and you get 12.

Can you mark me brainlest???!!! Please!!!!!

Answer:

The modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Step-by-step explanation:

Given the number

[tex]6-2i[/tex]

We know that

[tex]z = x + iy[/tex]

where x and y are real and [tex]\sqrt{-1}=i[/tex]

The modulus or absolute value of z is:

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

Therefore, the modulus of [tex]6-2i[/tex]  will be:

[tex]z=6-2i[/tex]

[tex]z=6+(-2)i[/tex]

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]

    [tex]=\sqrt{6^2+2^2}[/tex]

    [tex]=\sqrt{36+4}[/tex]

    [tex]=\sqrt{40}[/tex]

    [tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]

    [tex]=2\sqrt{2\cdot \:5}[/tex]

   [tex]=2\sqrt{10}[/tex]

Therefore, the modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

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Answer:

750 meters

Step-by-step explanation:

In order to calculate the total amount of ribbon that she needs, we need to multiply the amount of ribbon that each bow needs by the total number of bows that need to be made. Since we are given both of these values we simply multiply and solve for x which is the total amount of ribbon that Nicole needs.

1000 * 0.75 = 750 meters

Therefore, Nicole needs a total of 750 meters to make all of the needed bows.

Answer:

x = 3

Step-by-step explanation:

The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.

Given Equation:

4x - 9 = 6 - x

Add both side x of the equation

4x - 9 +x = 6 - x + x

5x = 6

Now, divide both side by 6 gives

5x/ 5 = 6/5

x = 1.2

Thus, the value of x is 1.2.

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Answer:

960 cartons

Step-by-step explanation:

Ice cream shop invented 25 new flavors of the ice cream out of which 13 flavors were discarded by the ice cream shop as they were least popular.

So flavors left = 25 - 13 = 12

The shop made 80 cartons each of 12 flavors so total number of cartons = 12×80 = 960 cartons

Therefore answer will be 960 cartons of remaining flavors

plz mark brainly

Answer:

down payment = home value x 20% = $136,000 x 20% = $27,200

loan = home value - down payment = $136,000 - $27,200 = $108,800

interest rate = 1.1% fixed (given) ≈ 0.09167% per month

duration of loan = 30 years or 360 months

monthly payment = present value of loan / PV annuity factor

PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)

monthly payment = $108,800 / 306.5134 = $354.96      

Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

Answer: [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]

2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]

3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]

4. Simplify: [tex]4^-^2\\[/tex]

5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]

6.Simplify: [tex]\frac{1}{16}[/tex]

Answer:

W/O insurance: 235.50

with insurance: 1597.94

Step-by-step explanation:

Weighted Average:

annual premium 1      $1,580.00 $0

single doctor visit 0.3      $7.50        $105

two doctor visits 0.18      $9.00        $126

medication        0.06      $1.44         $5

                              $1,597.94 $235.50

This is a pretty mathematical question, so I will answer it in pieces as I get the time to work it out. To find the time it takes to fall, you start with Newton's second law, ma=m[d2r/dt2]=-GMm/r2=dv/dt and integrate it once to get v=dr/dt=√[2GM(R-r)/(Rr)] where, for your question, R is the distance from the center of the earth to the point from which it was dropped, r is where it is at the time t(r), G is the universal gravitation constant, and M is the mass of the earth. (The mass m of the ship does not matter.) (You can more easily get v(r) from energy conservation.) Next integrate v(r)=dr/dt to get t(r)=-2.69x105{0.5tan-1((2x-1)/(2√[x(1-x)]-√[x(1-x)]-π/4} where x=r/R; this is not a simple integral to perform, but you can find good integrators on the web, for example Wolfram Alpha. Once you have gotten the indefinite integral you are not finished, you need to find the integration constant which will put the ship at rest at x=r/R=1; that is where the π/4 comes from. Putting in your numbers, I find t=4.22x105 s=117 hr=4.89 days. The figure shows the graph of t(x).

Step-by-step explanation:

mark upper one as brainliest

Answer: 15,99s

when the rocket hit the ground => y = 0

=> -16x² + 247x + 141 = 0 (*)

a = - 16      b = 247     c = 141

Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions

=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]

or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

I think it's one.

Step-by-step explanation:

I took this two year ago.

Answer:

the slope is 1

Step-by-step explanation:

up one over one aka 1/1 = 1

Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."

Step-by-step explanation: I got this from a website. Hope it works!!!

Step-by-step explanation:

the answer in the image