the quadratic x2-4x-21 can be witten in the form (x+a)2 +b find the values of a and b

Answers

Answer 1

(x-2)^2-25

How?

[tex]\\ \sf\longmapsto (x-2)^2-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x+4-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x-21[/tex]

Answer 2

Answer:

a = - 2, b = -25

Step-by-step explanation:

Given quadratic expression:

x² - 4x - 21

Convert this into vertex form:

x² - 4x + 4 - 25 = (x - 2)² - 25

Compare this with the vertex form to determine the values of a and b:

a = - 2b = -25

Related Questions

Find the prime factorization of 560 using exponents.

Answers

Answer:

2*2*2*2*5*7= 560

Step-by-step explanation:

please mark brainiest hope it works out for you

Answer:

2^4*5*7

Step-by-step explanation:

2^4*5*7

NO LINKS HELP PLEASE PLEASE EXPLAIN ​

Answers

Answer:  1,278

Step-by-step explanation: 2(18x18)+2 1/2(18x14)

p.e.m.d.a.s. 18x18= 324       18x14= 252

2x324= 648      2.5x252=630

648+630 =1,278

Help---I dont understand!! :(

Answers

Answer:

it should be c

Step-by-step explanation:

on edg hope this helps

The perimeter of a rectangular pool is 240 yd. If the length is 30 yd unless the four times the width, find the length and the width.

Answers

Answer:

270 is the answer if you add

Answer:

Step-by-step explanation:

P = 2L + 2W

L = 4w - 30

w = w

P = 2(4w - 30) + 2W

but  P = 240

2(4w - 30) + 2w = 240         Remove the brackets.

8w - 60 + 2w = 240             Combine

10w - 60 = 240                     Add 60

10w - 60 + 60 = 240+60      Combine

10w = 300                             Divide by 10

w = 30

L = 4w - 30

L = 4*30 - 30

L = 120 - 30

L = 90

Your best friend just got a new cell phone for her birthday. You really want a cell phone too, however you know that it is going to take a
lot of convincing to get your parents to buy you a phone, and add you to their cell phone plan. You decide to do some research and find
out what option would be the cheapest in order to convince your parents.
Plan A: Costs a basic fee of $29.95 per month and 10 cents per text message
Plan B: Costs a basic fee of $90.20 per month and has unlimited text messages
Plan C: Costs a basic fee of $49.95 per month and 5 cents per text message

Answers

Answer:

I would say Plan A

Step-by-step explanation:

Have a good day :)

larry mitchell invested part of his $27,000 advance at 2% annual simple interest and the rest at 6% annual simple interest. If his total yearly interest from both accounts was $860, find the amount invested at each rate

Answers

Answer:

$19000 at 2%, $8000 at 6%

Step-by-step explanation:

Let x is the amount at 2%, then 27000 - x is the amount at 6%.

The total interest is:

0.02x + 0.06(27000 - x) = 8600.02x - 0.06x + 1620 = 8600.04x = 1620 - 8600.04x = 760x = 760/0.04x = 19000

The amount at 6% is:

$27000 - $19000 = $8000

Find the distance between each pair of points.
(6,2), (-2,6)

Help please!!

Answers

Answer:

This represents an absolute value graph, therefore the distance between them is  8.944272

Step-by-step explanation:

d = 8.944272

For:

(X1, Y1) = (6, 2)

(X2, Y2) = (-2, 6)

Distance Equation Solution:

d=(−2−6)2+(6−2)2−−−−−−−−−−−−−−−−√

d=(−8)2+(4)2−−−−−−−−−−√

d=64+16−−−−−−√

d=80−−√

d=8.944272

how do you simplify 11 to the power of 6

Answers

Answer:

1771561

Step-by-step explanation:

You are referring to

[tex]11 {}^{6} [/tex]

a formula called Power of Power

[tex](11 {}^{2} ) {}^{3} = 121 \times 121 \times 121 = 1771561[/tex]

What’s -4 1/2 divided by (-1 3/8) Diving Mixed Numbers with negatives?

Answers

Answer:

3  3/11

Step-by-step explanation:

The best way to divide fractions is to not divide them at all.

Convert both mixed numbers into improper fractions.

4 times 2 is 8

8 + 1 is 9

I have 9/2 halves. Don't forget to put the negative back in.

1 times 8 is 8

8 + 3 is 11

I have 11/8 eighths. Dont forget to put the negative back in.

You will end up with

-9/2 ÷ -11/8

Flip the second fraction and change the division sign to a multiply sign

-9/2 × 8/-11

Multiply the numerators together and the denominators together

-9 x 8 and 2 x -11

-72 / -22

Dividing a negative by a negative will give us a positive

72 / 22

Simplify by dividing the top and bottom by 2

36/11

We cannot simplify further. You can answer like this or convert back into a mixed number.

There are 3 sets of 11 in 36, with 3 left over

3  3/11

Answer:

[tex] = - (5 \frac{3}{5} )[/tex]

Step-by-step explanation:

[tex] - 4 \frac{1}{2} \div ( -1 \frac{3}{8} )[/tex]

[tex] = - 4 \frac{1}{2} \div -1 \frac{3}{8} [/tex]

[tex] = \frac{(2 \times ( - 4) + 1)}{2} \div \frac{(8 \times ( - 1) + 3}{8} [/tex]

[tex] = \frac{ - 7}{2} \div \frac{ - 5}{8} [/tex]

[tex]= \frac{ - 7}{2} \times \frac{8}{ - 5} [/tex]

[tex] = \frac{ (- 7 )\times 8}{2 \times ( - 5)} [/tex]

[tex] = \frac{ - 56}{( - 10)} [/tex]

[tex] = - (5 \frac{6}{10} )[/tex]

[tex] = - (5 \frac{3}{5} )[/tex]

= f(x) = (x - 1)
4
4
2
-27
Describe the error in graphing the function

Answers

Step-by-step explanation:

I don't know how to do any of these if you could give me another question that's possibly easier

Answer:

f(4) = (4-1) = 3

f(2) = (2-1) = 1

f(-27) = (-27 -1) = -28

There isn't any error while describing the functions and everything looks fine.

If you still have problem then send the question again with the image of your book.

Step-by-step explanation:

I hope this helps ☺️❤️

At a sale this week, a table is being sold for $403. This is a 38% discount from the original price. What is the original price?

Answers

Answer:

$650.  This was the original price.

Step-by-step explanation:

Let p represent the original price.

The following expression calculates the value of p:  (1 - 0.38)p = $403.  Note that '1' indicates full price and that '0.38' indicates a 38% discount.

(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.

Dividing both sides by 0.62 yields $650.  This was the original price.

Answer:

$650

Step-by-step explanation:

Line up $ with $ and % with % then cross multiply

$403 represents ........100% full price -38% discounted  = 62%

$ x amount of the original price represents .........................100%

x*62 = 403*100, cross multiply

x = (403*100)/62, divide both sides by 62

x = $650

Help Simplify Algebraic Expression

x represents a number 11 more than the number added to the difference between the number and 17

Answers

There jdsjxnne she he wish d

What is the value of 6(2b-4) when b=5?

Answers

Answer: 36

Step-by-step explanation:

do pemdas

inside parentheses first

2b-4

2 times 5 is 10

10 minus 4 is 6

6 times 6 is 36

Answer:

[tex] \boxed{36}[/tex]

Step-by-step explanation:

[tex]6(2b - 4)[/tex]

Substitute the value of b:-

[tex] 6(2(5) - 4)[/tex]

[tex]6(10 - 4)[/tex]

[tex](6 \times 10) - (6 \times 4)[/tex]

[tex]60 - 24[/tex]

[tex] \boxed{ \pink{36}}[/tex]

Muse is x years old. muna is 3 years younger than Muse Feisal is as old as Muna. write an expression in terms of x​

Answers

Answer:

26 years old

Step-by-step explanation:

Help me with this please

Answers

Answer: 24

Step-by-step explanation: The first side is 2 by 4 by 1 which equals 8. The middle is 2 by 2 by 2 which equals 8. The last side is 2 by 4 by 1 which equals 8. 8 plus 8 plus 8 equals 24.

Where can you find your state-specific Lottery information to sell
Lottery tickets and redeem winning Lottery tickets?
(Select all that apply.)
1. Barcode and Quick Reference Guide

2. Lottery Terminal Handbook

3. Lottery vending machine

4. OneWalmart using Handheld/BYOD

Answers

The places where you can find state-specific information about lottery information to sell, lottery tickets, redeem winning and lottery tickets are the lottery terminal handbook, and lottery vending machine.

Lottery Terminal Handbook is a text containing information related to the lottery Terminal (Electronic Device). This text explains all the functions of the Lottery terminal, how to print the tickets, and how to redeem wining prizes.

On the other hand, a Lottery vending machine is a specialized machine for offering and selling lottery tickets. In these machines, the buyer enters money corresponding to the value of the lottery ticket, and the machine gives him scratch-off tickets or another type of ticket.

According to the above, the information related to lottery tickets can be found in a lottery terminal handbook and a lottery vending machine.

Learn more in: https://brainly.com/question/24834093

what is this number in standard form?
5.75 x 10^9

Answers

Answer:

5,750,000,000

Step-by-step explanation:

5.75 × 109 written in regular notation is 5,750,000,000

Which also is in standard form

Hope this helps :)  

Pls make brainliest :3  

And have an amazing day <3

Add the two expressions.

−6.5b+11 and 3.3b−2

Enter your answer in the box.
PL Z HELP PP

Answers

Step-by-step explanation:

-6.5b+11+(3.3b-2)

-6.5b+11+3.3b-2

-6.5b+3.3b+11-2

-3.2b+9

Answer: -3.2b+9

Step-by-step explanation:

i took the test on k12

PLEASE HELP!!!!
will mark brainliest!!

Answers

Answer: f(x)=x-1

Step-by-step explanation: If you observe the points you will notice that each output is exactly one less than the input, x, so the function is f(x)=x-1.

What is equivalence scale?​

Answers

Answer:

A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household.

Which best explains why
all equilateral triangles are similar?
© All equilateral triangles can be mapped onto each other using dilations.
All equilateral triangles can be mapped onto each other using rigid transformations.
All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations
All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Answers

Which best explains why

Which best explains whyall equilateral triangles are similar?

All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio

Hope this helps- have a good day bro cya)

Answer: C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Step-by-step explanation:

Got it right on edge 2023

simplify fully x/4 divided by x/5

Answers

You can divide fractions by multiplying by the reciprocal
x/4 * 5/x = 5x/4x = 5/4 when x is not zero!

evaluate the given expression for the given values. for x=17 and y=9

Answers

Answer:

where is the expression

What is the slope of the line represented by the table of values?

A.)6

B.)- 4

C.)1/6

D.)−1/4

Answers

Answer:

Slope = - 4

Step-by-step explanation:

(-2,8) and (0,0)

(8-0)/(-2-0)

= 8/-2

Answer:

Slope = -4

Step-by-step explanation:

Please give brainliest :)

A Ferris wheel can accommodate 40 people in 20 minutes. How many people
could ride the ferris wheel in 3 hours? What was that rate per hour?

Answers

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

So, 3 x 3 = 9

So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

Use the quadratic formula to solve the quadratic equation
2n^2−5n+5=0.
Solutions (separate by commas): n=

Answers

Answer:

La ecuación ahora está resuelta.

n=  

8

5+  

55

i

 

n=  

8

−  

55

i+5  

Step-by-step explanation:

Pasos con la fórmula cuadrática

(2n)  

2

−5n+5=0

Expande (2n)  

2

.

2  

2

n  

2

−5n+5=0

Calcula 2 a la potencia de 2 y obtiene 4.

4n  

2

−5n+5=0

Esta ecuación tiene un formato estándar: ax  

2

+bx+c=0. Sustituya 4 por a, −5 por b y 5 por c en la fórmula cuadrática,  

2a

−b±  

b  

2

−4ac

 

.

n=  

2×4

−(−5)±  

(−5)  

2

−4×4×5

 

 

Obtiene el cuadrado de −5.

n=  

2×4

−(−5)±  

25−4×4×5

 

 

Multiplica −4 por 4.

n=  

2×4

−(−5)±  

25−16×5

 

 

Multiplica −16 por 5.

n=  

2×4

−(−5)±  

25−80

 

 

Suma 25 y −80.

n=  

2×4

−(−5)±  

−55

 

 

Toma la raíz cuadrada de −55.

n=  

2×4

−(−5)±  

55

i

 

El opuesto de −5 es 5.

n=  

2×4

5±  

55

i

 

Multiplica 2 por 4.

n=  

8

5±  

55

i

 

Ahora resuelva la ecuación n=  

8

5±  

55

i

 cuando ± es más. Suma 5 y i  

55

.

n=  

8

5+  

55

i

 

Ahora resuelva la ecuación n=  

8

5±  

55

i

 cuando ± es menos. Resta i  

55

 de 5.

n=  

8

−  

55

i+5

 

La ecuación ahora está resuelta.

n=  

8

5+  

55

i

 

n=  

8

−  

55

i+5

 

Using a tree diagram, how many outcomes are there for an outfit made with 1 shirt option 1 pants option and 2 shoe options?

Answers

Answer:

Step-by-step explanation:

3

m=y2-y1/x2-x1 solve for x2

Answers

Answer:

[tex]x2=\frac{y2-y1}{m} +x1[/tex]

Step-by-step explanation:

Step 1: Multiply both sides by (x2-x1)

m(x2-x1)=y2-y1

Step 2: Divide both sides by m

x2-x1=(y2-y1)/m

Step 3: Add x1 to both sides

[tex]x2=\frac{y2-y1}{m} +x1[/tex]

Find the general solution of the given higher-order differential equation. y''' − 7y'' + 8y' + 16y = 0

Answers

The ODE

y''' - 7y'' + 8y' + 16y = 0

has characteristic equation

r ³ - 7r ² + 8r + 16 = 0

which can be factorized as

(r - 4)² (r + 1) = 0

Then the characteristic solution to the ODE is

y(x) = C₁ e ⁴ˣ + C₂ x e ⁴ˣ + C₃ e ⁻ˣ

A caplet contains 287 milligrams of medication. How many caplets contain 574 milligrams of medication?

Answers

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K

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