The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answer:

radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 6)² = 25 ← is in standard form

with r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

The domain is the independent value for which a function exists.

Given the function below;

f(x) = 3x^3

If the domain of the function is {2, 5}, the range are;

If x = 2

f(2) = 3(2)^3
f(2) = 3(8)

f(2) = 24

If x = 5

f(5) = 3(5)^3

f(5) = 3(125)

f(5) = 375

Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

Learn more on range of a function here: https://brainly.com/question/1942755

#SPJ1

The largest angle of the pentagon with the given ratio of angles is: 180°.

A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.

If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:

4/(1+2+2+3+4) × 540

4/12 × 540 = 180°

The largest angle is: 180°.

Learn more about pentagon on:

https://brainly.com/question/1419173

#SPJ1

Step-by-step explanation:

9.25( 18.4 - 2.12)

9 × 25 ( 18×4 - 2× 1.2) (multiply)

9.25 ( 72 - 2.4) ( calculate)

9×25×69.5 (calculate)

(answer) 1566

Answer:

B.  7/2 miles per 1 hour

Step-by-step explanation:

The unit rate in this case ,means ,

the number of miles  for every 1 hour

Since Taylor walks 7 miles in 2 hours

Then

He walks 7/2 miles in 1 hour

Thus

The unit rate that Taylor walks at is :

7/2 miles per 1 hour

Answer:

the area is 25/4 π

Step-by-step explanation:

diameter is 5 m

area will be 25/4π

Answer:

  17.9 m²

Step-by-step explanation:

The area of the deck is the difference between the area of the square and the area of the circular hot tub.

__

The area of the square is given by the formula ...

  A = s² . . . . where s is the side length

For a side length of 5 m, the area is ...

  A = (5 m)² = 25 m²

The area of a circle is found from the formula ...

  A = (π/4)d² . . . . where d is the diameter

For a diameter of 3 m, the area is ...

  A = (π/4)(3 m)² = 9/4π m² ≈ 7.069 m²

The area of the deck is the difference between the square area and the circle area:

  deck area = 25 m² -7.069 m² ≈ 17.9 m²

The area of the deck surrounding the hot tub is about 17.9 m².

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

Answer: two units to the left, four units down and reflected across the y axis

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

Learn more about perpendicular lines here -

https://brainly.com/question/12209021

#SPJ10

The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

A scale model of a statue has a height of 20 cm.

The formula for density:

D = mass/volume

Volume = base area×hieght

104.4 kg = 104400 grams

2 m = 200 cm

Volume = Mass/D

Volume(real statue) = 104400/200 = 522 cubic cm

Scale factor = 20/200 = 1/10

Volume of model statue = 522(1/10) = 52.2 cubic cm

Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

Learn more about the density here:

brainly.com/question/952755

#SPJ1

Answer: 3x+1

Step-by-step explanation: See attachment

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

Answer:

123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f

The cost price of the product will be 25000.

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4

Answer:

B. Never

Step-by-step explanation:

that's just what my math teacher told us...

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

Answer:

1) n = 5n - 7900

2) 1580

Step-by-step explanation:

first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)

The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The point (0, 0) is a solution to which of these inequalities are satisfied.

A. y+7<2x - 6

      7 < -6

So, it is incorrect.

B. y-7<2x-6

      -7 < -6

So, it is correct.

C. y-6<2x-7

         -6 < -7

So, it is incorrect.

D. y+7<2x+6

7 < 6

So, it is incorrect.

Hence, option B is the only correct answer.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

Answer:

$15 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

$ 35.00   is what you pay     $15.00 off original price

Step-by-step explanation:

30 % discount means you pay 70 %

$ 50 * .70 = $ 35 .00

Finding the constant of proportionality :

Finding y when x = 6 :

The value of y is 360 when x = 6.

Answer:

C) 15.5 units

Step-by-step explanation:

Answer:38.9

Step-by-step explanation:

Step-by-step explanation:

Use this algebra 2 theorem:

If r and q are roots of a polynomial function then

the polynomial function can be expressed as

[tex](x - r)(x - q)[/tex]

Here the roots are

1- root of 6, 1+ root 6, and. 7-i so our. function can be expressed as

[tex](x - (1 - \sqrt{6} ))(x - (1 + \sqrt{6} ))(x - (7 - i))[/tex]

The first two binomials are difference off squares so the we have

[tex] {x}^{2} + x( - 1 + \sqrt{6} ) + x( - 1 - \sqrt{6} ) + ( - 5)[/tex]

[tex] {x}^{2} - 2x - 5[/tex]

The other root is (7-i).

Also note since (7-i) is a root, then (7+I) is also a root.

So

[tex](x - (7 - i)(x - (7 + i)( {x}^{2} - 2x - 5)[/tex]

[tex]( {x}^{2} - 14x + 50)( {x}^{2} - 2x - 5)[/tex]

Simplify and it gives us

[tex] {x}^{4} - 16 {x}^{3} + 73 {x}^{2} - 30x - 250[/tex]

The transformation is nonrigid because the segment lengths are not preserved.

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1

Answer:

The transformation is nonrigid because the segment lengths are not preserved.

Answer:

Whether you're buying a new car or a used car, or even leasing a car, you'll have to pay state sales tax. Nearly every state has a sales tax, ranging from under 3 percent to over 8 percent. The national average in the United States is 5.75 percent.

Please mark brainlest!

The solution to the equation of the polynomial function x³-5x+5 = 2x²-5  is (c) –2.24, 2, 2.24.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, The function is given as:

         x³-5x+5 = 2x²-5

Split the function.

So, we have:

   y = x³-5x+5

   y = 2x²-5

Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be

x = –2.24, 2, 2.24

Hence, the solution to the equation is (c) –2.24, 2, 2.24

Learn more about system of equations at:

brainly.com/question/14323743

#SPJ1

The Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a given two triangles as shown in the picture.

As we have given QR ⊥ PT

And

Angle QPR ≅ Angle STR  (given)

From the definition of the perpendicular line, the angle at the intersection will be a right angle or 90 degrees.

Angle QRP ≅ Angle SRT

By angle-angle or AA

Triangle PQR is similar to Triangle TSR

Thus, the Triangle PQR is similar to Triangle TSR by angle-angle prostate or AA .

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ1

Step-by-step explanation:

square root 3 divided by

2