Rewrite the quadratic expression in faceted format: f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21

Answers

Answer 1

Answer:

[tex]f(x)=-x^2-4x+21[/tex]

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

[tex]f(x)=ax^2+bx+c[/tex]

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

[tex]f(x)=-x^2-4x+21[/tex]

So, the required equation is equal to [tex]f(x)=-x^2-4x+21[/tex].


Related Questions

answer for brainilest and 30 points

Answers

Answer:

V = 1020.5 yd³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h( r is the radius and h the height )

Here r = 5 and h = 13 , then

V = π × 5² × 13

   = 3.14 × 25 × 13

   = 1020.5 yd³

The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?

Answers

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60

Find the area. Round to the nearest tenth.

Answers

Answer:

729 square yards

Step-by-step explanation:

Area = l x w

Area = 27 x 27

Area = 729 square yards

Hope that helps! :)

-Aphrodite

Answer:

It’s 729

Step-by-step explanation:

8x−2=−11+7x +2
Please help me!!

Answers

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

solve for the x value of the x intercept of the line 5x-y=-5

Answers

x intercept: (1,0)
y intercept: (0,-5)
hope this helped

Solve for x
[tex]2x + 5 = 15[/tex]

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ [/tex]

2x=15-5

x=10/2=5

Hope it helps you.

Have a good day.

5x - 4 = 10 improper fraction simpilest form

Answers

Answer:

x = 14/5

Step-by-step explanation:

Add 4 to both sides of the equation, Simplify, Divide both sides of the equation by the same term, simplify, to get the answer. plz give brainliest

plz help i have been asking thus asking this question for too long

Answers

Answer:

1/12

Step-by-step explanation:

1/6 x 1/2 = 1/12

The answer would be 1/6 IF you took 1/6 of the full sheet of paper, but if you are taking 1/6th of half of the paper, then you are taking half the amount. Basically, you would need two 1/6 pieces of one half to be equivalent to one 1/6th piece on the full sheet.

I'm really sorry if my explanation sounds really confusing

pls help! :) only put correct answer ty!!

Answers

Answer:

y=6x+18 i think

Step-by-step explanation:

Find the area of the triangle

A. 12 Square units
B. 5.5 square units
C. 24 Square units
D. 11 Square units

Answers

Answer:

A.  12 sq. units.

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

= 1/2 * 6 * 4

= 12.

giving brainliest! help me pls

Answers

Answer:

4 feet

Step-by-step explanation:

1 Yard = 3 feet

3 ft. + 1 ft. = 4 ft.

The answer is 4 ft.
1 yard = 3 ft, plus 1 ft, you get 4ft

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.

Answers

Y intercept is when x = 0
Look on the graph
Y intercept: (0, -1)

Slope: you can use rise/run by drawing a triangle. Rise = 4, rise = 2
4/2 = 2
The slope is 2

Equation formula : y = mx = b
m = slope, b = y intercept
Given the rest of the information already, plug the values in

Equation: y = 2x - 1

Katy planted of the field with wheat and of
the field with potatoes. How much of the field
did she plant?

Answers

[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]

may this helps you

bye

Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.

Answers

The answer is -2/3, hope this helps!

Given the follow set of data, draw a scatter plot of the data, approximate the line of best fit, and estimate y when x = 20.



x| 3 7 10 15 18

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

y|16 45 82 102 116

Answers

Answer:

i do not know

Step-by-step explanation:

10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right

Answers

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

Answer the question in the picture?

Answers

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

what is the horizontal line called

Answers

Answer:

Abscissa

Step-by-step explanation:

I didn’t know how to spell Abscissa at first

Please help me please I really need help please help me

Answers

You just have to reflect it over the blue line, so if one point is 2 squares from the blue line then you will make it 2 squares away on the other side of the blue line. The y point will stay the same so they will be the same height

Answer:

See attached

Step-by-step explanation:

See reflected image in the attached picture

Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that apply

Answers

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2

Answers

Answer:

a

Step-by-step explanation:

.

Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?

Answers

Answer:

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

Answer:

1. y = 6x + 8

2. 4 hours.

Step-by-step explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

Find the equation of the circle with a center at (2,-1) and a radius of square root of 12

Answers

Answer:

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

Step-by-step explanation:

Given that, center at (2,-1)

let a = 2, b = -1

radius, r = [tex]\sqrt{12}[/tex]

As we know the equation circle is, [tex](x-a) ^{2}[/tex]+[tex](y-b) ^{2}[/tex] = [tex]r^{2}[/tex] when radius and center point is given.

By this formula , we can get,

[tex](x-2) ^{2}[/tex]+[tex](y-(-1)) ^{2}[/tex] = [tex]\sqrt{12} ^{2}[/tex]

[tex]x^{2}[/tex] -4x +4 + [tex]y^{2}[/tex] + 2y + 1 = 12

[tex]x^{2}[/tex]+ [tex]y^{2}[/tex] -4x+2y-7=0

This is the answer.

The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet

Answers

Answer:

3 feet

Step-by-step explanation:

P=2(a+b)

14=2(4+b)

14=8+2b

2b=6

b=3

Answer:

3 feet tall

Step-by-step explanation:

14-4-4=6 divided by 2=3 feet tall on two side

(5 x 10^6) x (6 x 10^8)
give answer in standard form.
(answer = 13 points)

Answers

Answer:

3 x 10^15

Step-by-step explanation:

5 x 10^6 x 6 x 10^8

30 x 10^14

3 x 10 x 10^14

3 x 10^15

(5 × 6) × (10 ^ 8 + 6) = 30 × 10 ^ 14

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!

Answers

Answer:

24 cm³

Step-by-step explanation:

2 × 3 × 4 = 24


24 cubic centimeters

PROBABILITY QUESTION (Data) please help

4 cards are taken out of a standard deck (52 cards). What is the probability that the 4th card is a red face card, or a jack given that the jack of diamonds is the first card selected, the queen of hearts is the second card selected, and the third card is the 3 of diamonds?

Answers

Answer:

3/49

Step-by-step explanation:

We need to subratact 1 from numerator (as the queen is a red faced card) and 3 from the demonitor as all of them are red cards

A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

Answers

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

Suppose that the endpoints of the hypotenuse of a 30-60-90 triangle are (4, -2) and (7,2). Find the lengths of the
two legs of the triangle.

Answers

Answer:

90-60-30=0/. 4-2=2 and 7-2=5

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