Which models best illustrates the inequality and its graph?
t< 55

a.) t is at least 55

b.) t is less than 55

c.) t is 55 or more

d.) t is at most 55

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

Answer:

No solution.

Step-by-step explanation:

[tex]6m-m=\frac{5}{6}(6m-10)\\5m=5m-\frac{25}{3}\\0\neq -\frac{25}{3}[/tex]

Therefore, there is no solution.

Answer:

X=0

Step-by-step explanation:

5(6-X)-3=5+4(X+3)

30-5x=5+4x+12

30-5-12=4x+5x

13=9x

13/9=x

Answer:

Use BODMAS rule

1st:B- solve bracket

2nd-O- open bracket

3rd;D:divide

4th:M- multiply

5th:A- Addition

6th :Subtract

Solution given;

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

open bracket

30-5x-3=5+4x+12

30-3-5-12=5x+4x

10=9x

x=10/9

x=10/9

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Answer: 1/32

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

Which statement best evaluates the effectiveness of the conclusion

paragraph?

Thesis Statement: My future job must include human interaction, a

nontraditional workspace, and teamwork.

Main Points:

1. Work with people

2. Work in a nontraditional workspace

3. Work in a place where coworkers share ideas

Conclusion: In the end, my future job will be one that allows me to

collaborate with my coworkers in dynamic and nontraditional

workspaces. If I am forced to sit behind a desk I will be extremely bored. Furthermore, I will be less productive if I am forced to work alone without the chance to discuss ideas with my coworkers. So the next time an adult asks me what I want to do when

I grow up, I will tell them a job without a desk, in an office full of

people. That's my dream job!

A. The conclusion is effective because it presents interesting information not addressed in the body paragraphs.

B. The conclusion is ineffective because it does not restate the thesis in a new way.

C. The conclusion is effective because it restates the thesis, summarizes the main points, and includes a satisfying close.

D. The conclusion is ineffective because it fails to leave the reader with a thought-provoking question.Which statement best evaluates the effectiveness of the conclusion  paragraph?

Thesis Statement: My future job must include human interaction, a

nontraditional workspace, and teamwork.

Main Points:

1. Work with people

2. Work in a nontraditional workspace

Answer:

Were is the question?

Step-by-step explanation:

Area of a circle: pi x r^2

---r is the radius of the circle

A = pi x 20^2

A = 3.14 x 400

A = 1256 square miles

Hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

The reflections are illustrated in the attached.

  A1, A1' are opposite vertices of the reflected original triangle. They are part of a kite figure.

  A2, A2' are opposite vertices of a reflected isosceles triangle, where BA=BC. Figure A2BA2'C is a kite.

  A2a, A2a' are opposite vertices of a reflected isosceles triangle with AB=AC. Figure A2aBA2a'C is a rhombus.

  A3, A3' are opposite vertices of a right triangle with the right angle at A3. Figure A3BA3'C is a kite figure.

  A4, A4' are opposite vertices of a reflected right isosceles triangle with AB=AC and the right angle at A4. Figure A4BA4'C is a square.

Answer: The number = 3 /4 or 4 / 3

Concept:

Here, we need to know the idea of a reciprocal.

Reciprocal is also called the multiplicative inverse.  It is similar to turning the number upside down which is found by interchanging the numerator and denominator.

Number ⇒ Reciprocal = 1 / Number

Solve:

STEP ONE: Set up the equation

Let x = the number

Let 1 / x = the reciprocal

x + 1 / x = 25 / 12

STEP TWO: Multiply x on both sides

(x + 1 / x) · x = (25 / 12) · x

x² + 1 = 25x / 12

STEP THREE: Multiply 12 on both sides

(x² + 1) × 12 = (25x / 12) × 12

12x² + 12 = 25x

STEP FOUR: Subtract 25x on both sides

12x² + 12 - 25x = 25x - 25x

12x² - 25x + 12 = 0

STEP FIVE: Solve for the quadratic equation

(3x - 4) (4x - 3) = 0 ⇔ (Factorization of the equation)

(x - 4 / 3) (x - 3 / 4) = 0

x = 4 / 3 or x = 3 / 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]

This is the answer.

Answer:

No, the polygons aren't similar since they don't have a constant scale factor.

Answer:

Step-by-step explanation:

[tex]f(x)=\frac{x+9}{7-4x} \\put ~f(x)=y\\flip~x~and~y\\f(y)=x\\y=f^{-1}(x)\\y=\frac{x+9}{7-4x} \\flip~x~and~y\\x=\frac{y+9}{7-4y} \\x(7-4y)=y+9\\7x-4xy=y+9\\-4xy-y=9-7x\\or\\4xy+y=7x-9\\y(4x+1)=7x-9\\y=\frac{7x-9}{4x+1} \\or~f^{-1}(x)=\frac{7x-9}{4x+1}[/tex]

Answer:

We want to rewrite:

q^2 = a*(p^2 - b^2)/p

as a linear equation, in the form:

y = m*x + c

So we start with:

q^2 = a*(p^2 - b^2)/p

we can expand the left side to get:

q^2 = (a/p)*p^2 - (a/p)*b^2

q^2 = a*p - (a/p)*b^2

Now we can ust define:

a*p = c

Then we can replace that to get:

q^2 = -(a/p)*b^2 + c

now we can replace:

q^2 = y

b^2 = x

Replacing these, we get:

y = -(a/p)*x + c

finally, we can replace:

-(a/p) = m

then we got the equation:

y = m*x + c

where:

y = q^2

x = b^2

c = a*p

m = -(a/p)

Answer:

the image/text is not there

Step-by-step explanation:

Answer:

hello,

Step-by-step explanation:

y=k(x-a')²+b'

focus is (a',1/(4k)+b')

2x²=-120y

==> y=-2/120x²

==> y=-1/60(x-0)²+0

focus= (0,-15)

Answer:

[tex]20^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

Let the angle we want to find be [tex]\theta[/tex]. [tex]\theta[/tex]'s adjacent side is 49 and the hypotenuse of the triangle is 52.

Therefore, we have the equation:

[tex]\cos \theta=\frac{49}{52}[/tex]

Take the inverse cosine of both sides:

[tex]\arccos (\cos \theta)=\arccos(\frac{49}{52})[/tex]

Simplify using [tex]\arccos (\cos \theta)=\theta \text{ for }\theta \in (0, 180^{\circ})[/tex]:

[tex]\theta=\arccos(\frac{49}{52}),\\\theta=19.557214,\\\theta\approx \boxed{20^{\circ}}[/tex]

Answer:

x<7

Step-by-step explanation:

it just is

Answer:

x > 7

 x < -7

Step-by-step explanation:

Absolute value inequalitiy entered

     |2x| > 14

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x|

For the Negative case we'll use -(2x)  

For the Positive case we'll use (2x)

-(2x) > 14  

    Multiply

     -2x > 14  

    Divide both sides by 2

     -x > 7  

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     x < -7  

    Which is the solution for the Negative Case

(2x) > 14  

    Divide both sides by 2

     x > 7  

    Which is the solution for the Positive Case

x < -7

 x > 7

(-∞,-7)

   (7,+∞)

Answer:

The volume is 245 m^2

Step-by-step explanation:

the volume formula is aways base time height, or V = bh

so plot the number in, 35 x 7 = 245

Answer:

missing side is √193

= 13.892443989449

Answer:

Common difference = 0.5

First term = 6.

Step-by-step explanation:

the 12th term a12 = a1 + d(12-1)   where a1 = first term and d = the common difference.

So a1 + 11d = 10.5 ....(A)    Similarly:

a1 + 17d = 13.5....(B)

Subtracting equations:

(B) - (A) :-

6d = 13.5 - 10.5 = 3

d = 3/6 = 0.5

From equation (A):

a1 + 11(0.5) = 10.5

a1 = 10.5 -5.5 = 5.

Answer:

13

Step-by-step explanation:

Have a nice day

Answer:

Cos Z = 7/25

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos Z = 14/50

Cos Z = 7/25

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

As the [tex]\triangle\sf{XYZ}[/tex] is a right angle traingle.

we know that,

[tex]\boxed{\underline{\sf{cos\blue{\theta}=\dfrac{adjacent}{hypertension} }}}[/tex] 

According to the question,

[tex]cosZ=\dfrac{adjacent}{hypertension}\\\\cosZ=\dfrac{14}{50}\\\\\pmb{\green{\sf{cosZ}=\frak{\dfrac{7}{25}}}}[/tex] 

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

.

.

.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,

.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎

.

.

Answer:

multiplying by 100 "shifts" decimal point to the right by 2

90  

1379  

2989.4

Step-by-step explanation:

Answer:

0.9 x 100=90

13.79 x 100=1379

29.894 x 100=2989.4

​

Step-by-step explanation:

Answer:

(55/38,-16/19)

Step-by-step explanation:

4x -5y = 10

2x + 7y = -3

4x -5y = 10

-4x -14y = 6

-19y = 16

y = -16/19

2x  -112/19 = -57/19

x = 55/38