The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x

Answers

Answer 1

Answer:C

Step-by-step explanation:

Answer 2

The derivation of the quadratic function is true

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

ax² + bx + c = 0

Step 1 :

ax² + bx + c = 0

Step 2 : Subtracting c on both sides , we get

ax² + bx = -c

Step 3 : Divide by x on both sides , we get

ax + b = -c/x

Hence , the steps are true in solving the quadratic equation

To learn more about quadratic equations click :

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Related Questions

Question 5 Iker gave the cashier $50 to pay for 6 books. The cashier gave him $6.26 in change. Each book cost the same amount. What is the cost in dollars and cents for each book? Answer​

Answers

Answer: $ 7.29

Step-by-step explanation:

First you subtract 6.26 from 50

= 43.74

Then you divide 43.74 by 6

= 7.29

SOMEONE HELP ME TYSM

Answers

Answer:

[tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Convert the mixed number into an improper fraction : [tex]\frac{5}{2}[/tex]Subtract how many liters Cara has already drank : [tex]\frac{5}{2}[/tex] - [tex]\frac{3}{4}[/tex] Transform the expression : [tex]\frac{10-3}{4}[/tex]Subtract the numbers : [tex]\frac{7}{4}[/tex]

I will mark the brainiest! Please, and thanks! :)
(You can write them on paper, and upload a pic)

Answers

Answer:

I added the picture as an attached file below

Step-by-step explanation:

Hope it helps:)

A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?

Answers

Answer:

1)0

2)3/8

Step-by-step explanation:

2)total number of participants who are at least 20 years old = 3

Total number of participants= 8


Explain how the volume of a right cone relates to the volume of a cylinder with the same base
and height. Use diagrams and volume formulas to explain the relationship.

Answers

Answer:

its 1/3 of the volume of a cyinder with the same base

Step-by-step explanation:

a pyramid has the same policy with prisms of the same base

Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.

The volume of the cone with radius r units and height h units now can be written as,

Volume of the cone = (1/3) × π × r² × h units³

The volume of the cylinder with a radius of r units and the height of h units now can be written as,

Volume of the Cylinder = π × r² × h units³

Taking the ratio of the volume of the cone and the volume of the cylinder,

Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³

Volume of the cone/Volume of the cylinder = 1/3

Volume of the cylinder = 3 × Volume of the cone

Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.

Learn more about Volume:

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Will mark BRAINLIEST!!!!Which equation represents the relationship between x and y?
X
у
1
4
2
5
3
6
4
7
y = 3x + 1
y = x + 1
y = x + 3
y = x - 3

Answers

Answer:

Third one

Step-by-step explanation:

y=x+3

determine the slope of the line that contains (-4,2) and (6,8)​

Answers

The slope of this line would be change in y divided by change in x. (8-2)/(6–4) = 6/10. In simplified terms, it would be a slope of 3/5.

Deku and reaper also what is 2-4=?

Answers

Answer:

the answer is -2

Step-by-step explanation: The answer is from google

Answer:

-2

Step-by-step explanation:

indeed brother

−2c + 6 = −8
Solve for c, please

Answers

Answer: c=13/2 but as a fraction

Step-by-step explanation:

Answer:

c = 7

Step-by-step explanation:

-2c + 6 = -8

Subtract 6 from both sides

-2c = -14

Divide -2 by both sides

c = 7

Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.

12 + 18
A) 4(2 + 3)
B) 4 + (2 + 3)
C) 6(2 + 3)
D) 6 + (2 + 3)

Answers

I think the answer is d

como se simplifican los términos algebraicos

Answers

Answer:

what the????????..........

Answer Asap Will mark brainlest if it's right.

Answers

Answer:

B........................

PLEASE HELP ME ,THIS IS HARD ,AND I DON’T UNDERSTAND MATH..

Answers

Answer:

Step-by-step explanation:

divide y by x

in a table and coordinate pair, which is something like (0,4), x always comes first. So, in this table x is the time in seconds and y is the distance in meters. 120/4=30 meters per second. For the second part of the table, since we know what the slope is, or the constant rate of change, 30, we can multiply 30 by 25 which is 750. You can also use the equation y=mx, m is the slope, and x is a point on the coordinate pair. For example, in the second table, y=30(25). For the last part of the table, you can use the same equation. 270=30x. We try to get x alone so we do, 270 divided by 30 which is 9. So a cheetah runs at 270 meters per 9 seconds.

The answer above me is totally correct and has a very good explaination
But I’m still doing this
In the first part it is given time = 4s
Distance = 120m
And we have to calculate it’s speed
We know that speed = Distance/Time
So speed = 120/4
So speed = 30m/s
In second question
Now in the question it is given that cheetah walks at a constant speed
So here time= 25 seconds
Speed= 30m/s (from 1st question)
So distance= speed*time
distance = 30*25
Distance = 750m
Now in third question
Distance is given 270m
Also we know speed = 30m/s
So time = Distance/speed
Time= 270/30
Time = 9 seconds
So answers are
1st part - speed = 30m
2nd part - Distance = 750m
3rd part - Time = 9s
Hope it helps you!
That was a long question btw

What is 63/-9 + 7 someone please help me

Answers

Answer:

63 divided by -9 equals -7. If you add 7, you get 0. 0 is the answer.

Answer:

0

Step-by-step explanation:

63 / -9 = -7

-7 + 7 = 0

Therefore 63 / -9 + 7 = 0.

Hope this helps :)

I would appreciate if you gave me brainliest.

What is the measurement of this angle

Answers

Answer:

50 degrees

Step-by-step explanation:

math slope helpppp meeee

Answers

Answer:

1. -3/8     2. 1/2     3. -3/2

Step-by-step explanation:

You can use Y2-Y1/X2-X1 to find the answers

Ask me if you want it more in detail

Shirt $28
Tax Rate 9%
tax
total

Answers

Answer:

Tax is $2.52 and the total is $30.52

Step-by-step explanation:

9% of 28 is 2.52 and yeah.

Answer:

The tax is $2.52

Total is $30.52

Step-by-step explanation:

9% of 28 is 2.52

then add that to the shirt price

What is the slope of the line that passes through the points (2, –3) and (–2, 5)? 2 1/2 -1/2 -2

Answers

Answer: The slope is  -2.

Step-by-step explanation:

(2,-3)

(-2,5)

Using the two given points,  you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.

y coordinates:  -3 - 5= -8

x coordinates;  2-(-2) = 4  

Slope:  -8/ 4 = -2  

Write the equation for the
line that passes through
(-3, 5) and is parallel to the
graph of y = 2x - 4.

Answers

Answer:

(

y

4

)

=

2

(

x

+

3

)

y

4

=

2

x

+

6

y

=

2

x

+

6

+

4

We get the equation of the line as :

y

=

2

x

+

10

The graph will look like this:

graph{y=2x+10 [-10, 10, -5, 5]

Step-by-step explanation:

★PLSSSSS HELPPPPPPPPP★

Answers

Answer:

i believe its C

Step-by-step explanation:

⚠️ PLEASE I WANNA FINISH

Answers

Answer:

m = 0.666667*​x+​1 is the answer

Step-by-step explanation:

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

Answers

Answer:

I think the answer is 84 dollars

Step-by-step explanation:

Answer: The answer is 254

Step-by-step explanation:

what is : 1.25 + (-0.75)

Answers

Answer:

0.5

Step-by-step explanation:

use a cauculator

Answer:

0.50

Step-by-step explanation:

You can rewrite this as 1.25 - 0.75. When you do this, you will get 0.50

CAN SOMEONE PLEASE HELPPP!!!!! It's Algebra 1. I attached the picture it's just one question.

Answers

You have to do 2h up, halph an hour parallel , and then a line more vertical than the 2h, then parallel the time he is on the top, and then a line down that stops parallel  for some time in the middle and then a line down to the bottom.

There you are almost but you have to do it with better measures.

what is the value of y when x = 90?

Answers

Answer:

is there anything else??

Step-by-step explanation:

What's y'all dream college?? (Mine is Howard university or another HBCU school )

Answers

Ooo my dream college is probably Yale but my parents don’t want me to leave the state so I’ll probably end up going to unf

Answer:

Yale University would look so good on my record!

Step-by-step explanation:

But it's a 1/10 chance that I'll make it but It's cool to think about

What fraction of 34 it will take to make 23?

Answers

Answer:

34 = 2 × 17

Step-by-step explanation:

To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF

-6 + 5 1/4. plzz help​

Answers

Answer:

the answer is -0.75.

Step-by-step explanation:

-6 + 5 1/4 = -0.75.

use the discriminant to determine how many and what kind of solutions the quadratic equation x^2-x=1 has

Answers

Answer:

Two solutions

Step-by-step explanation:

x^2-x=1

plug into the discrimiant fomurla

The asnwer ends up being 5

which is positive,  meaning that the discriminant has two solutions

Postitive number = Two solutions

The answer is 0 = One solution

Negative number = No solutions

:)

please help me with this i dont know wht im doing

Answers

Answer:

D: The slope is 3

Step-by-step explanation:

To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.

8-2/-1-(-3) = 6/2 = 3

Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"

Either way, your slope is 3.

Answer:

its 3

Step-by-step explanation:

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