Which is a quadratic equation in FACTORED FORM?
A
f(x)=2x2+5x−12f(x)=2x^2+5x-12f(x)=2x
2
+5x−12

B
f(x)=2x+5f(x)=2x+5f(x)=2x+5

C
f(x)=2(x+5)2−12f(x)=2(x+5)^2-12f(x)=2(x+5)
2
−12

D
f(x)=2(x+5)(x−12)f(x)=2(x+5)(x-12)f(x)=2(x+5)(x−12)

Answers

Answer 1

Answer:

D) f(x) = 2(x + 5)(x − 12)

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

Given options:

A) f(x) = 2x² + 5x − 12,

this is a standard form of quadratic function.

B) f(x) = 2x + 5,

this is a linear function, not quadratic.

C) f(x) = 2(x + 5)² − 12,

this is vertex form of a quadratic function.

D) f(x) = 2(x + 5)(x − 12),

this is a factored form of a quadratic function.

Related Questions

Chloe's bookshelf has 6 books by Smith and 8 books by Jones. If she removes 4 books at random, what is the probability of removing 2 by each author?

Answers

Answer:

7%

Step-by-step explanation:

I added 8 and 6 then divided by 2

I'm taking probability and stats next year so ¡dk if its right

Answer:

42%

Step-by-step explanation:

I need this done by tomorrow 4.

Answers

Is it too late now?? Btw it is C

Help me please. I don't understand this.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

1/2y=13
Solve for y.

Answers

Answer:

The correct answer is Y = 26

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?

Answers

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

Let x=−1−5i
and y=5−i
. Find x−y
.
A. 6−4i

B. −12i

C. −6−4i

D. −6−6i

Answers

C have a good one buddy

please help meee
a. square root of 4 and 3
b. square root of 2
c. 4
d. square root of 8 and 3​

Answers

Answer:

a) 4sqrt3

Step-by-step explanation:

8/2=4

4*sqrt3=4sqrt3

look up 30 60 90 triangle

The guy under me is correct, i just solved it.

is searching online for airline tickets. Two weeks​ ago, the cost to fly from to was ​250$. Now the cost is 330 ​$. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

Cost increases to $330.

The percent increase here would be:

= (New price - Old price )/ Old price

= (330 - 250) / 250

= 0.32

= 32%

Cost increases to $330 and charges $50 baggage fee

= (New price - Old price )/ Old price

= (330 + 50 - 250) / 250

= 0.52

= 52%

Please help me out :)

Answers

Answer:

96 cm^3

Step-by-step explanation:

you just multiply all the numbers :)

solve for x.
please help.

Answers

Please find the attached photograph for your answer

Which figure is described below?
The locus of points in a plane 10
units from the line y = 4.
A ray
B. 2 parallel lines
C. circle
D. plane

Answers

Answer: 2 parallel lines

sorry guys i really hate geometry

Answers

Answer:

54.3

Step-by-step explanation:

4/3 x pi x 2.35^3

solve for x radical forms

Answers

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

There were 680 gallons of water ALREADY in a 1600-gallon pool. Water is being pumped into the pool at the rate of 320 gallons per hour. Let x represents the number of hours. Find how many hours it will take to fill the pool.

Answers

Answer:

2 7/8 hours

Step-by-step explanation:

Answer:

2hrs 12 mins

Step-by-step explanation:

5hrs = 5x = 1600  question asks us to find 680

2 1/2x + 680-640 =-x + 2.8hrs

2x + 40 = x + 2.8hrs

2x + 40 = 680

Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60

0.8  *  60 = 48 minutes

Then go back to  x  + 2.8hrs = x + 2hrs 48mins

2x + 48 = 60

2x + 48 = 60

2x+ 60 - 48  

x = 2:12 hours

Expresa en forma algebraica. ⦁ El cuadrado de un número aumentado en 1. ⦁ Cinco veces un número menos 8. ⦁ El número siguiente a un múltiplo de 5. ⦁ Un número impar.

Answers

Answer:

1) N^2 + 1

2) 5*N - 9

3) n*5 + 1    (con n entero)

4) n*2 + 1    (con n entero)

Step-by-step explanation:

1)  El cuadrado de un número aumentado en 1.

Podemos definir a N como el número.

El cuadrado de N es:

N^2

Y a esto lo tenemos que aumentar en 1, entonces tenemos:

N^2 + 1

Esto es el cuadrado de un número aumentado en 1.

2)  Cinco veces un número menos 8.

Esto es:

5*N  (5 veces un número)

Y a esto le restamos 8, para obtener:

5*N - 8

3) El número siguiente a un múltiplo de 5

Un multiplo de 5 se escribe como:

n*5

Donde n es un número entero.

El numero siguiente es:

n*5 + 1

4) Un número impar.

Bien, sabemos que un número par es un multiplo de 2.

Entonces:

n*2 es un número par.

Entonces, n*2 + 1 tiene que ser un numero impar.

En este caso la expresión algebraica es:

n*2 + 1

Find the value of x in the picture below.



Answers

The answer is c because

Answer me this please!

Knowing the absolute value of the numbers will help you determine which is closest to ________

Answers

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

Simultaneous Equations - 5p-2q=9 3p+2q=7

Answers

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

Find a and b if
2^a×3^b=12​

Answers

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

 

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

PLEASE HELP! I really really need help. If you can please help me with the answer.

Answers

Answer:

I believe it's 960

Step-by-step explanation:

Rect. Prism volume = 12 * 10 * 7 = 840

Pyramid = (12 * 10 * 3) / 3 = 120

Total = 840 + 120 = 960

find the value of a²+b when a =-2 and b=5

Answers

Answer:

4+5=9

Step-by-step explanation:

a2+b=9  

Two negatives equal a positive you multiply 2, 2 times because of the power 2.

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]

Step-by-step explanation:

Given,

a = - 2

b = 5

Our expression is,

a² + b.

To solve this, we need to substitute the values of a & b in the given expresssion. So,

a² + b

= (-2)² + 5

= 4 + 5 (2 negatives when mutilpied gives a positive number)

= [tex]\boxed{\sf{9}}[/tex]

___________________________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

Which expression is equivalent to 5 (a + b)

Answers

I need to see the expressions to answer your question sorry

Find the value of x. Show your work of a piece of paper

Answers

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3

2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3

Hope that helps

Let me know if it is confusing

Please give me the answer nothing else

Answers

Answer:

h = 45.5 ÷ 7

Step-by-step explanation:

What is the length of a in this triangle?

Answers

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st jan 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account

Answers

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

If the following triangles are similar solve for x

Answers

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

Boy Scout camp and walk 6 km due east he then turns and walks 9 km due south what is his distance away from the camp at this point

Answers

You are going to use the Pythagorean there on as the two directions make a 90 degree angle.
A^2+B^2=C^2
6^2+9^2=C^2
36+81=C^2
117=C^2
Square root both sides
C=10.82km

7n-4=31

what does n stand for?

Answers

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

if a person walks 2.4 miles in 1.5 hours how far can you walk in 6 hours

Answers

Answer: 9.6

Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6

So a person can walk 9.6 miles in 6 hours.

Hope this helps!

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