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

Zeros are (-5,0) and (1,0)

Hence

y=-x²-4x+5y=-[x²+4x-5]y=-[x²+5x-x-5]y=-[x(x+5)-1(x+5)y=-(x-1)(x+5)

Yes this is the parabola given

Convert to Vertex form a(x-h)²+k

So

y=-[x²+4x-5]y=-[x²+2(2)(x)-5+9-9]y=-[x²+2(2x)+4-9]y=-[(x+2)²-9]y=-(x+2)²+9

As for any real x the function will give a real value [square present] the domain is set of real numbers ≤-2

vertex is maximum

Highest value of y is 9

Hence.

range is ≤9

Or in interval notation

range=(-oo,9]
The Function F(x) = X2 4x + 5 Is Shown On The Graph. On A Coordinate Plane, A Parabola Opens Down. It
Answer 2

Answer:

The range of the function is all real numbers less than or equal to 9.

Step-by-step explanation:

Given:

[tex]f(x)=-x^2-4x+5[/tex]vertex = (-2, 9)x-intercepts = (-5, 0) and (1, 0)

Domain: input values (x-values)

Range: output values (y-values)

The domain of the function is not restricted, so the domain is all real numbers.

The leading coefficient of the function is negative, therefore the parabola opens downwards.  This means that the vertex is the maximum point.

Therefore, the range will be f(x) ≤ 9 → all real numbers less than or equal to 9.


Related Questions

My math teacher randomly assigned this but it’s something far outta my range, I need some help!!!!!

Answers

If d=26 then r = d/2 = 13

...........................................

If d=26 and c=26pi, then the only variable you can find is r. To find r, know that r=d/2.
Now we can figure out that…
r=d/2
r=26/2
r=13
This means the answer is “then r=13”

ASAP PLEASE
Which statement below compares the decimals correctly?
NO LINKS PLEASE
A. 0.94 = 0.74
B. 0.74 > 0.94
C. 0.94 < 0.74
D. 0.74 < 0.94

Answers

Answer:

D. 0.74 < 0.94

Step-by-step explanation:

0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works

What is the length of segment NS?

1 unit
2 units
4 units
6 units

Answers

Answer:

4 units yan po sana makatulong

Q. Solve using the quadratic formula x2 + 4x – 16 = 0 ?
-
answer choices
2 + 25
A
B 2 + 4V5
C -2 + 275
D -2 + 4V5

Answers

Answer:

Step-by-step explanation:

ax² + bx + c = 0

[tex]x_{1}[/tex] = [tex]\frac{-b - \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x_{2}[/tex] = [tex]\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]

~~~~~~~~~~~~~~~~~~~

x² + 4x - 16 = 0

a = 1 , b = 4 , c = - 16

[tex]x_{1}[/tex] = ( - 4 - [tex]\sqrt{16+64}[/tex] ) ÷ 2 = - 2 - 4√5

[tex]x_{2}[/tex] = - 2 + 4√5

what is the value of 0 in the number 9,603,450,503

Answers

Answer:

0

Step-by-step explanation:

0 x 10

0 x 1000

0 x 10 000 000              they all equal 0

Hey there!

9,603,450,503


“Nine billion six hundred three million four hundred fifty thousand five hundred three”


9,000,000,000

+ 600,000,000 

+ 00

+ 3,000,000 

+400,000 

+ 50,000 

+ 00

+ 500 

+ 00

+ 03 

9 = billions (9 billion)

,

6 = Hundred Millions (600 million)

0 = Ten Millions

3 = Millions (3 million)

,

4 = Hundred Thousands (400 thousand)

5 = TenThousands (50 thousand)

0 = Thousands

,

5 = Hundreds (5 hundreds)

0 = Tens

3 = ones (3)


So, therefore your answer(s) is/are:

• ten millions
• thousands
• tens


Good luck on your assignment & enjoy your enjoy your day!


~Amphitrite1040:)

What is the scale factor from ABC to DEF?

Answers

Answer:

C

Step-by-step explanation:

^

Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.

Answers

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

Force between two masses

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{GMm}{R^2}[/tex]

where;

M is mass of Earth = 5.97 x 10²⁴ kgm is mass of the satelliteR is the distance between the satellite and the EarthG is universal gravitation constantFirst missing quantity

The first missing quantity is force due to gravity, and it is calculated as follows;

[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]

Second missing quantity

The second missing quantity is distance between the statellite and the Earth,

[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]

Learn more about Newton's law here: https://brainly.com/question/3999427

The calculations for standard structural shapes are based on​

Answers

Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees

tep explanation:

What is the area of the figure?

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Find the area of the figure​

Answers

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

132 cm^2
You do the part separately then add it together in the end

What is the value of digit 3 in 659.13 in words?

Answers

The value is three hundredths

30 POINTS
How many cubic feet of water canthi in-ground swimming pool design below hold?
A) 520 ft3
B) 528 ft3
D) 548 ft3
C) 550 ft3

Answers

Answer:

B.

Step-by-step explanation:

1) the volume can be calculated as sum:
V=V₁+V₂;

2) V₁=6*8*8=384 [ft³];

3) V₂=0.5*6*6*8=144 [ft³];

4) the required volume:

V=384+144=528 [ft³]

Pls help I will give brainliest.​

Answers

Answer:

50 yards

Step-by-step explanation:

This is a 3-4-5 triangle. You can use this shortcut to find the hypotenuse. (Multiply the3, 4, 5 by 10) OR

You could also use Pythagorean Theorem.

30^2 + 40^2 = h^2

900+1600=h^2

2500 = h^2

Squareroot.

50 = h

What is 34107.12 to the nearest half centimeters? 

Answers

Answer:

34107cm

Step-by-step explanation:

What is the slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3

Answers

take two points  : (-4, 3), (3, 1)

[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]            where (x1, y1), (x2, y2)

Insert the following values

[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]

[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]

(-4,3)(3,1)

slope:-

m=1-3/3-(-4)m=-2/3+4m=-2/7

If $300 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods

Answers

52.5%. In 15 years.
You need to multiply 3.5 x 15 = 52.5%

Please answer the attachment!

Answers

I hope this helped
_______________

The perimeter of any shape is the length of all the sides added up:

1. For the rectangle

    [tex]6 + (3x - 1) + (3x - 1) + 6 = 6x - 2 + 12 =6x + 10[/tex]

2. For hexagon

   [tex]10.2 + (x+4)+(x+4)+10.2+(x+4)+(x+4)=4x + 16 + 20.4=4x + 36.4[/tex]

Hope that helps!

47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?

Answers

Let's simplify

48/32

Take 16

3/2

And

42/48

Take 6

7/8

No they are non proportional

multiply then elimination
2x+y=3
-x+3y=-12​

Answers

Answer:

X = 3

Y = -3

Step-by-step explanation:

Find the perimeter and area of the shaded region.

Answers

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

One ticket from New York City to Paris cost $1,572. How much would it cost a family of 8 to fly from New York City to Paris?

Answers

Answer:

It's simple number of family here is 8 x the coast of 1 ticket

Step-by-step explanation:

1572 x 8 =12576

Answer:

$12,576

Step-by-step explanation:

You just have to multipy the cost of one ticket by 8.

Probability which can be classified as an event

Answers

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

pleasee help I would appreciate very!​

Answers

Answer:

D

Step-by-step explanation:

We can visually see the line going down so the slope is negative. (-30)

The y-intercept must be 120, because it does not intersect 90.

Students in Mrs. Curry's class recorded the amount of snowfall in January and February.

Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.

A line plot named Please dont delete im having issues in my school please answer

Answers

Answer:

A and C

Step-by-step explanation:

What is the total length of border needed in feet and
inches?

Answers

The total length of the border needed is 41 feet and 8 inches

A store can buy 8 cartons of milk for 24 dollars or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?

A.
$1 less

B.
$2 less

C.
$3 less

D.
$4 less

Answers

Answer:

a

Step-by-step explanation:

28/7=4

24/8=3

A number I divided by 3 is at most 5

Answers

Largest I is 15. Since 15/3 is 5. 5 times 3 is 15. Another way to prove is 5 plus 5 plus 5 is 15.
Please mark as the best!

Help???? i’m not good w Algebra

Answers

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator

Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?

Answers

Which graph indeed?

Eliminate the parameter:

x = t - 4   ⇒   t = x + 4

⇒   y = t² + 5 = (x + 4)² + 5

which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain

-1 ≤ t ≤ 2   ⇒   -1 ≤ x + 4 ≤ 2   ⇒   -5 ≤ x ≤ -2

Answer:

it is c

Step-by-step explanation:

7. If 60 gal. of oil flows through a pipe in 15 min., how long will it take to fill up
500 gal. tank? Answer in hours/min/sec.

Answers

Answer: 2 hours and 5 minutes .

Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .

500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes

Other Questions
Question 2 of 35The rock shown below was formed when small particleswere deposited in the water and then pressed togetherover time. It contains small bits of the remains of seaanimals.Which type of rock is this? Please answer the attachment! The financial statement that is most likely to be used to determine if a business is able to meet its short-term obligations within the next month would be. state some resons why people do not pay their bills Match the base to the corresponding height. was ladder present at the stonewall RIOTs What cell organelle is involved in joining amino acids to form a protein?. Simplify this equation is easiest form. 1). what happened when you pushed the two books towards each other? 2). what are your observation and how do you relate them to real life? 3). how would you plan and prepare in case an earthquake occurs in your place? Rectangle ABCD, B, C, and D are graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), and C(-3, 6), D(-8, 6). What is the area of rectangle ABCD? Find the outer perimeter of this figure. Roundyour answer to the nearest hundredth. Use3.14 to approximate pi.P = [ ? ] ft. Ballot forms can be used when you want to join an organization. true or false? One car of mass 1,765 kg is travelling at a speed of 28 m/s. This car runs into another car that is at rest and they stick together. The resulting wreck is moving at a speed of 10 m/s. What is the mass of the car that was originally at rest? The exchange rate of the Guatemalan quetzal to the U.S. dollar is 10 quetzal per dollar. If the exchange rate changes to 5 quetzal per dollar, what happened to the value of the quetzal and what happens to Guatemala's exports How many automobiles were there in the united states in 1994?. pleasee help I would appreciate very! Computer applications whose purpose is to allow viewers to create, modify or view graphics, audio, video and animations are known as _____. When an employee checks the company intranet for other job opportunities with their current employer this is an example of ___________. A __________ earns a doctoral degree in medicine, provides therapy for those with severe disorders, and is able to prescribe medication for various disorders. a. counselor b. psychiatric nurse c. psychologist d. psychiatrist please select the best answer from the choices provided a b c d He performed manHe made observations of a disease called noma. A form of gangrene, it affected only theexperiments onHe injected dyes into their eyes, attempting to change their colors.ResetNext