Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3

A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2

Answers

Answer 1

Answer:

B)  x = 5/2

Step-by-step explanation:

subtract 3 from each side to get:

4x² - 20x + 25 = 0

this is the difference of 2 squares:

(2x -5)² = 0

one solution, x = 5/2

Answer 2

Answer:

B)  x = 5/2

Step-by-step explanation:

4x² - 20x + 28 = 3

Move terms to the left side

4x² - 20x + 28 - 3 = 0

Subtract the numbers

4x² - 20x + 25 = 0

Use the quadratic formula

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

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² - 20x + 25 = 0

a = 4

b = -20

c = 25

x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]

Evaluate the exponent

x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]

Subtract the numbers

x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{20+0 }{2x4}[/tex]

Add zero

x = 20 / 2 x 4

Multiply the numbers

x = 20 / 8

Cancel terms that are in both the numerator and denominator

x = 5/2


Related Questions

I need an answer! NO LINKS PLS! il give brainlist

Answers

C) 12 would be correct.

The more the better! Mark with crown please!

A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?

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i found the answers to your question.

Can someone please help me on this

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Answer:

9

Step-by-step explanation:

For number five what is the Mean, Median, Mode, and Range

Answers

Answer:

Median- 31

Mean- 39

Mode- 20

Range-71

Step-by-step explanation:

Median-13, 20, 20, 20, 31, 35, 61, 67, 84

31 one is in the middle, also you have to sort it for least to greatest.

Mean- Add all the number then divide by the numbers there are.

Mode-It has occored the most

Range- sort least to greatest, then subtract the highest number to the lowest

I dont Know what to put here
But Anwer Pls

Answers

What is diameter:

in geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere.

What is radius:

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.

Explanation:

The diameter is the line that goes across the center of the circle and double the radius which is half, therefore KR is the correct answer.

Answer:

KR, D, or the last option.

Statement answer:

Segment KR is the Diameter of Q.

I HOPE I HELPED!!! HAVE AN AMAZING DAY/NIGHT!!! PLEASE MARK ME BRAINLIEST IF I HELPED YOU!!

15 POINTS!!!! HELPP PLEASEE QUICK I NEED IT NOWW PLSS I POSTED THIS SO MANY TIMES PLSSS NO LINKS NO BOT OR ANSWERS JUST TO GET POINTS I WILL REPORTT!! Which of the following equations describes the line shown below? Check all
that apply.
(-6,2)
(-1,-4)

Answers

Answer:

Pretty sure its A and B

Step-by-step explanation:

Slope is -6/5, so that leaves just A B and E

Plugged it in, only A and B were correct

Math helppp plzzzz 20 points helppp plzzzzz no links or imma report u

Answers

It would be c that is because c is 45 mph while b would be 195/3=65 and a 150/3=50 so the fastest rankings would be b, a, c and the slowest rankings would be c, a, b

find the volume................

Answers

Answer:

[tex]1) v= 400 ft^{2}[/tex]

[tex]2) v=1093.3m^{3}[/tex]

Step-by-step explanation:

1) v= 1/3 ab ×h

v= 1/3 (10)(10)×√13²-5²

v= 400 ft²

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

2) v= πr² h/3

v= 1/3 × π×(6)²×29

v= 1/3×π×12×29

v= 348π

v= 1093.27

≈1093.3

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

hope it helps...

have a great day!!

What is the image of (-5,-6) after a reflection over the line y=−x?

Answers

Answer:

The image will be the point (6,5)

Step-by-step explanation:

Here, we want to get the image of the point (-5,-6) after the reflection

Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)

So, (-5,-6) becomes (6,5)

Solve:

2(x - 3) + (x + 3) = 6x

Answers

Answer: x=−1

Step-by-step explanation: Hope this help :D

Answer:

x=-1

Step-by-step explanation:

Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must Adam leave his house in order for him to reach the airport at 7:20 am.

Answers

Answer:

6:38am

Step-by-step explanation:

From the question we are told that

Average speed [tex]V_{avg}=10km/h[/tex]

Distance traveled [tex]d=7km[/tex]

Generally the velocity across a distance is mathematically given given as [tex]V=d/t[/tex]

[tex]10=\frac{7}{t}[/tex]

[tex]t=0.7h\\t=42minutes[/tex]

Therefore

7:20-42 minutes =6:38am

HURRRY! ILL GIVE BRAINLEST Mrs. Jordan surveyed all of her students to find out which testing format they prefer. Of the 120 students, 30 prefer ALEKS.com, 60 prefer paper, 10 prefer Deltamath.com and 20 prefer Microsoft Forms.
What is the relative frequency of students who prefer taking their test online?
answers: 17%

25%

8%

50%

Answers

Answer:

50%

Step-by-step explanation:

30+10=40

40+20=60

120-60=60

60 is 50% of 120

Answer 50%

The online types of tests are Aleks.com, deltamath.com, and Microsoft forms. These votes totaled 60 (30+10+20=60). There were 120 total student responses.

60/120=0.5

0.5*100%=50%

please help if you want points and happy ramadan if you celebrate it

Answers

Answer:

1. yes

2.no

3.yes

4. no

hope this helps I'm not sure about number 2 tho

Wich of the numbers below are factors of 20? Select that apply.

A)3
B)4
C)5
D)10
E)16





Answers

4, 5, And 10

4x5= 20

5x4= 20

10x2= 20

Plsss help me on this

Answers

Answer:

Pretty sure it is Product of Powers Property

Step-by-step explanation:

2/3+1/12 what's the answer

Answers

Answer:

3/4 or 9/12 make the denominators the same then just add

Answer:

9/12 or simplified as 1/4

Step-by-step

2×4/3×4 + 1/12

= 8/12 + 1/12

= 9/12

= 1/4

2( x + 7) - (-18 + 4/5)

Answers

Answer:

[tex]2x+ \frac{156}{5}[/tex]

Step-by-step explanation

simplify step-by-step.

2(x+7)−(−18+

4

5

)

Distribute the Negative Sign:

=2(x+7)+−1(−18+

4

5

)

=2(x+7)+(−1)(−18)+−1(

4

5

)

=2(x+7)+18+

−4

5

Distribute:

=(2)(x)+(2)(7)+18+

−4

5

=2x+14+18+

−4

5

Combine Like Terms:

=2x+14+18+

−4

5

=(2x)+(14+18+

−4

5

)

=2x+ [tex]\frac{156}{5}[/tex]

What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)

questions are:

A) y= 2x + 13.5
B) y= x - 1
C) y= -2x + 1.5
D) y= -2x - 8.5

Answers

Answer:

D

Step-by-step explanation:

How do you find 3/4 of 20

Fast response please!!

Answers

Answer:

15

Step-by-step explanation:

3/4(20/1) = (3*20)/(4*1)

60/4

15

15
.... ≤))≥
.... _| \_

En una tienda en la que todo está rebajado el 15% he comprado un pantalón por el que he pagado 102 €. ¿Cuál era el precio antes de la rebaja?

Answers

Answer:

120 euros

Step-by-step explanation:

X= 100% del precio (antes de la rebaja)

Pagaste el 85% pues habia descuento del 15%

85%--------------102

100%---------------x

CROSS MULTIPLICATION

85X  =  10200

Divide cada parte por 85

x= 120

Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.

En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.  

Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original,  al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.

Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:

15% de p= (15×p) ÷10

Sabiendo que se ha pagado 102 € por el pantalón, entonces:

p - (15×p) ÷10 = 102

Resolviendo

p - 0,15×p= 102

0,85×p= 102

p= 102÷0.85

p= 120

Finalmente, el precio antes de la rebaja era 120 €.

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what is1 00 + 84 – 62x = 494

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Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

36x - 63 = k(4x - 7)

Need help, I dont know what im doing wrong here

Answers

Answer: k= 9

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Step-by-step explanation:

https://www.symbolab.com/solver/order-of-operations-calculator/36x%20-%2063%20%3D%20k%5Cleft(4x%20-%207%5Cright)

Triangle PQR with vertices P(-2,3), Q (2,4) and R (1,-1) in the line x =-3 PLEASE NEED HELP URGENT

Answers

Answer:

p'(-5,3) q'(-1,3) r'(-2,-1)

Find the slope of the line that passes through the points (0,-5) and (-2,-3).​

Answers

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

At the craft store, Maureen bought a bag of yellow and red marbles. She received 30 marbles in all. 24 of the marbles were yellow. What percentage of the marbles were yellow?

Answers

Answer: There are 10 orange marblesStep-by-step explanation:There are 25 marbles in the bag 40% are orange To determine the number of orange marbles, we multiply the total number of marbles  by the percent that are orange 25 *40% = number of orange marbles 25*.40 10 There are 10 orange marbles

so is not 30 so what is it? I’ll mark brainliest

Answers

Answer:

15

Step-by-step explanation:

in a triangle

base (b) = 5 cm

height (h) = 6 cm

Area of the triangle

= 1/2 * b * h

= 1/2 * 5 * 6

= 5 * 3

= 15 cm²

hope it helps :)

PLEASEE HELPP HELPP IMMA FAIL

Answers

I think the first answer is 21

Events A and B are mutually exclusive. Suppose event A occurs with probability 0.36 and event B occurs with probability 0.31. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). 0. x 5 ? (b) Compute the probability that either A occurs without B occurring or A and B both occur. 0.36​

Answers

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B)  P(A) P(B)

An event A will occur with probability 0.4 that is  

An event B will occur with probability 0.6 that is  

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B)  P(A) P(B)

So,

events A and B are dependent

It is a and b hope I help
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