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.

Answers

Answer 1

Answer:

(-infinity, 9]

Step-by-step explanation:

The range of the function is 'all real numbers less than or equal to 9.'  We are told that the vertex is at (-2, 9) and that the curve opens downward, which indicates that 9 is the maximum function value, and that the function can take on any value less than or equal to 9.

The domain is 'the set of all real numbers,' which is true for any polynomial.


Related Questions

Someone PLEASE HELP!!!!! it’s urgent please help ASAP

Answers

The line the puck traveled is the hypotenuse of a right triangle.

Using the Pythagorean theorem:

Travel = sqrt( 4^2 + 30^2)

Travel = sqrt( 16 + 900)

Travel = sqrt(916)

Travel = 30.265 feet ( round the answer as needed)

Can some help me solve this.

Answers

Answer:

The fourth (last) function is the correct one.

Step-by-step explanation:

Look at the parent function y = √x,  Its graph goes through (0, 0).  On the other hand, if y = √(x - h), the graph goes through (h, 0) if h is positive, and the graph is translated h units to the right from the graph of y = √x.  If h is negative, the graph is translated h units to the left.

In the four possible answers given, the values of h are {-4, 9, 5, -9}, in that order.  h = -9 results in the graph that is positioned 9 units to the left of the graph of y = √x.  This graph is furthest to the left.  Thus the fourth choice is the correct one.

Assume that a cell is a sphere with a radius of 10-³ or 0.001 centimeters and that a cell’s density is 1.1 grams per cubic centimeter.
Koalas weigh 6 kilograms on average. How many cells are in the average koala?

Answers

Answer:

[tex]n=1.3\times 10^{12}[/tex]

Step-by-step explanation:

Given that,

The radius of a cell, r = 10⁻³ cm

The density of the cell, d = 1.1 g/cm³

The weight of the Koala, m = 6 kg = 6000 grams

The density of an object is given by:

[tex]d=\dfrac{m}{V}[/tex]

For n cells,

[tex]nd=\dfrac{m}{V}\\\\n=\dfrac{m}{dV}[/tex]

Put all the values,

[tex]n=\frac{6000}{\frac{4}{3}\cdot\pi\cdot\left(10^{-3}\right)^{3}\cdot1.1}\\\\n=1.3\times 10^{12}[/tex]

So, there are [tex]1.3\times 10^{12}[/tex]cells in the average koala.

Find the volume of the irregular
figure.

Answers

Answer:

59 cm^3

Step-by-step explanation:

You can split the shape into two rectangular prisms.

3*3*1=9

10*5*1=50

9+50=59

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer:

[tex]\displaystyle \sec A=\frac{65}{63}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \csc A=\frac{65}{16}[/tex]

Where A is in QI.

And we want to find sec(A).

Recall that cosecant is the ratio of the hypotenuse to the opposite side. So, find the adjacent side using the Pythagorean Theorem:

[tex]a=\sqrt{65^2-16^2}=\sqrt{3969}=63[/tex]

So, with respect to A, our adjacent side is 63, our opposite side is 16, and our hypotenuse is 65.

Since A is in QI, all of our trigonometric ratios will be positive.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

[tex]\displaystyle \sec A=\frac{65}{63}[/tex]

Answer:

Step-by-step explanation:

cosec A =60/16

hypotenuse/opposite = 60/16 =15/4 (in simplest form)

therefore hypotenuse = 15 , opposite = 4  

then adjacent =? (let be x)

using pythagoras theorem to find adjacent

opposite^2 + adjacent^2 = hypotenuse^2

4^2 + x^2 = 15^2

16 + x^2 = 225

x^2 = 225 - 16

x^2 = 209

[tex]x=\sqrt{209}[/tex]

sec A =hypotenuse/adjacent

[tex]=\frac{15}{\sqrt{209} }[/tex]

[tex]=\frac{15}{\sqrt{209} } * \frac{\sqrt{209} }{\sqrt{209} }[/tex]

=[tex]\frac{15\sqrt{209} }{209}[/tex]

If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?

Answers

Answer:

x - y = 25

Step-by-step explanation:

3x - 4y = 15

-2x + 3y = 10

Add the two equations together

 3x - 4y = 15

-2x + 3y = 10

----------------------

x - y = 25

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

>> 3x - 4y = 15

>> -2x + 3y = 10

Add the two equations together

>> 3x - 4y = 15

>> -2x + 3y = 10

----------------------

Hence, x - y = 25

how many tons is 9,000 lbs?​

Answers

Answer:

9000 Pounds (lbs) = 4.017859 Tons (t)

1 lbs = 0.000446 t

1 t = 2,240 lbs

Step-by-step explanation:

6 yd
4 yd
7 yd
4 yd
Perimeter:
Area:
Help me find the area and the permiter

Answers

Step-by-step explanation:

Assuming figure to be trapezoid,

Perimeter=6+4+7+4yd

=21 yd

Area of trapezoid=((6+7)/2) x ((4)^2-(0.5)^2)

=(13/2)x(16-0.25)

=6.5 x 15.75

=102.375 Sq yards

In a game of chess, a player can either
win, draw or lose.
The probability that Vishi wins any
game of chess is 0.5
The probability that Vishi draws any
game of chess is 0.3
Vishi plays two games of chess.
Work out the probability that Vishi will
lose exactly one of the two games.
Pls answer fast

Answers

Answer:

3.4

Step-by-step explanation:

0.5x + 0.3=2

then I subtracted 0.3 from both sides which I got 1.7 then I divided by 0.5x and then I got 3.4

helpppppppppppppppppppppppppp

Answers

Answer:

Option D.

Step-by-step explanation:

==>27

r = 3

9r

which means 9x3 = 27.

Determine the vertex of the quadratic relation y= 4x2 + 32x – 11

Answers

Answer:

vertex = (- 4, - 75 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 4x² + 32x - 11 ← is in standard form

with a = 4, b = 32 , then

x = - [tex]\frac{32}{8}[/tex] = - 4

Substitute x = - 4 into the equation for corresponding y- coordinate

y = 4(- 4)² + 32(- 4) - 11

  = 4(16) - 128 - 11

  = 64 - 139

   = - 75

vertex = (- 4, - 75 )

 

Name the set(s) of numbers to which –5 belongs. a. whole numbers, natural numbers, integers b. rational numbers whole numbers, integers, rational numbers d. integers, rational numbers c.​

Answers

5 belong to whole number. b I don't know

what is the length is centimeters of line segment AD?

Answers

Answer:  12

=========================================================

Explanation:

Focus solely on triangle ABD.

Let x be the length of AD. This is the unknown horizontal leg of the triangle. The vertical leg is known, so we'll say b = 16.

The hypotenuse is 20, so c = 20.

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 16^2 = 20^2

x^2 + 256 = 400

x^2 = 400 - 256

x^2 = 144

x = sqrt(144)

x = 12

Segment AD is 12 cm long.

Which line of best fit is the best choice for the data given below?

Answers

Answer:

B

Step-by-step explanation:

Points need to be above and below a line of best fit.

Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Distance of point A of rectangle ABCD = 5 units

Distance of point E of rectangle EFGH = 5 units

Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.

Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.

Let's check by the rule of reflection,

Rule for the reflection of a point (x, y) across y-axis is given by,

(x, y) → (-x, y)

Following this rule,

A(-5, 5) → E(5, 5)

B(-3, 4) → F(3, 4)

C(-4, 1) → G(4, 1)

D(-6, 2) → H(6, 2)

Therefore, rule for the reflection is applicable in this question.

Option A will be the answer.

2.39 round to the nearest tenth

Answers

Answer:

2.4

Step-by-step explanation:

If I round 2.39 to the nearest tenth it will be 2.4.

Have a nice day!



math help please 2 questions

Answers

Answer:

first one is the second choice

question 2 is correct, the answer is the 4th option

Step-by-step explanation:

no other words

The first is incorrect. it is the second answer

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?

Answers

Answer:

x > -2.5

Step-by-step explanation:

1) 5.1 (3 + 2.2x) > -14.25 - 6 (1.7x + 4)

2) 15.3 + 11.22x > -14.25 - 10.2x - 24

3) 15.3 + 11.22x > -38.25 - 10.2x

4) 11.22x + 10.2x > -38.25 - 15.3

5) 21.42x > -53.55

6) x > -2.5

Alternate forms

x > -5/2x or x > -2 1/2

In triangle CAP if c=7, a=6 and cosP = -3/7, find p

Answers

the P right there you put = -3/7 after it

Find the area of the square ABCD.

Answers

196 is your answer. 14*4 is 56. 14*10 is 140. 56+140 is 196.

The small one only counts for the first multiplication step. 4*4, is 16 so carry the one over and add it in by how much it’s worth when doing 4*1, is 4. 4+1 is 5.

Can someone please help me with this? help would be very much appreciated!

Answers

9 I think cs I did it and it was right

Answer:

so sorry i dont know

:(eeeeeeeeeeee

eeeeeeeStep-by-step explanation:

An umbrella in the same picture is 5cm long. What is the actual length of the umbrella

Answers

Answer:

Not possible to answer from the given information

Step-by-step explanation:

Without the picture this cannot be answered

Hello! please helpp


5x divide 7 = y

turn this into a word problem and solve for x and y.

Answers

Answer:

5x÷7=y

x=7y/5

Step-by-step explanation:

5x÷7=y

5x=7y

x=7y/5

!!URGENT PLEASE HELP!!
A line segment has endpoints A(-6, 1) and B(0, 7). When AB is reflected in the y-axis, triangle ABA’ is formed. Graph ABA’ , you will see and you will be able to prove it is a right triangle. Name the parts of the right triangle, identify the two legs and the hypotenuse. And, Explain how you would prove ABA' is a right triangle?

Answers

Answer:

im not sure i need points though

Step-by-step explanation:

The proof is given below

What is right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle or two sides are perpendicular. A right angled triangle is a triangle with one of the angles as 90 degrees

How to solve this problem?

The steps are as follow:

Reflection about y-axis

p(x,y) = p'(-x,y)

A(-6,1) = A'(6,1)

The longest side is AA' is the hypotenuseThe right angle of right triangle is opposite the hypotenuseAB and A'B are the two legs of triangle

AB is opposite side

A'B is adjacent side

Length of AA' is 12 unitsThe vertical distance y=6ΔABC = ΔA'BC (both right angle)[tex]A'B=AB=\sqrt{6^{2}+6^{2} }=8.5[/tex]Sin∅=8.5/2∅ = 45° (Angle between AB and AA')

Hence we can prove that triangle is right angle triangle

Learn more about right angle triangle here:

https://brainly.com/question/64787

#SPJ2

What is the product of 1.65 and 1.05 x 10^-2?

Answers

Answer:

0.017325

x

Step-by-step explanation:

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

A.)

Step-by-step explanation:

A.)

Answer:

A :)

Step-by-step explanation:

Simo scored 65 points in a game. Ella scored e points in the same game. If they scored a total of t points for the game, write an equation that expresses t in terms of e. You will not solve this equation, just write it.

Answers

Answer:

Step-by-step explanation:

Lucy=65

Eva= X points

Total:

Points =  65 + 65 = 130

Find the area of the polygon

Answers

Answer:

[tex]it \: is \: a \: polygon \: having \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ base = 5cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ height = 3cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ area \: of \: polygon \: = base \times height \\ \\ area \: of \: polygon \: = (5 \times 3)cm \\ \\ area \: of \: polygon = 15cm ^{2} [/tex]

The answer is 15cmsquared

Is each statement true for OA? Drag “true” or “false” below each statement

Answers

Answer:

true. true. false.

Step-by-step explanation: i’m in love with the shape of u. we push and pull like magnet whatever

A local chess tournament gives medals for first, second, and third place. There are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament.

Which statements are true? Check all that apply.

Order matters in this scenario.
There are 2,184 ways to select a first-place, second-place, and third-place winner.
The probability that all three winners are from Midland High is 0.0275.
The probability that all three winners are from Leasburg High is 0.0046.
The probability that all three winners are from Cassville High is 0.0549

Answers

Answer:

There are 2,184 ways to select a first-place, second-place, and third-place winner.

The probability that all three winners are from Midland High is 0.0275.

The probability that all three winners are from Cassville High is 0.0549

Step-by-step explanation:

Since a local chess tournament gives medals for first, second, and third place, and there are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament, to determine which of the following statements are true, the following calculations must be performed:

A) There are 2,184 ways to select a first-place, second-place, and third-place winner.

5 + 3 + 6 = 14

14 x 13 x 12 = X

182 x 12 = X

2.184 = X

B) The probability that all three winners are from Midland High is 0.0275.

5/14 x 4/13 x 3/12 = X

0.02747 = X

C) The probability that all three winners are from Leasburg High is 0.0046.

3/14 x 2/13 x 1/12 = X

0.00274 = X

D) The probability that all three winners are from Cassville High is 0.0549

6/14 x 5/13 x 4/12 = X

0.0549 = X

Answer:

A, B, C, E

Step-by-step explanation:

Edg 2021

Branliest?

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