Consider the equation:
24 = x2 - 4x + 3
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (2 — c)2 = d.
2) What are the solutions to the equation?
Choose 1 answer:
X = 2 5
x = -2 +5
x = 2 + 5
x = -2 + 5

Answers

Answer 1

Answer:

        1)  (x - 2)² = 25         2)   x = 2 ± 5

Step-by-step explanation:

[tex]24 = x^2 - 4x + 3\\\\ x^2 - 4x + 3-24=0\\\\\underbrace{x^2-2\cdot x\cdot2+2^2}-2^2-21=0\\\\{}\qquad(x-2)^2-25=0\\\\{}\qquad\bold{(x-2)^2=25}\\\\{}\qquad x-2=\pm\sqrt{25}\\\\{}\qquad \bold{x=2\pm5}[/tex]

Answer 2

the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5

What is the equation?

The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.

part 1
Given equation,
x² - 4x + 3 = 24
x² - 4x + 4 - 4 + 3 = 24
(x - 2)² - 1 = 24
(x - 2)² = 24 + 1
(x - 2)² = 25

Part 2

Solution for the given equation that transformed in part 1 of the solution.
(x - 2)² = 25
(x - 2) = √25
(x - 2) = ±5
x = 2 ± 5

Thus , the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5

Learn more about the equation here:

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Related Questions

Solve for x, please solve ASAP!! Due today!

Answers

2(2x-3) = x + 9


X = 5

Ms. Turkovich sees that pizzas are on sale (yes!!). A small pizza costs $8.95. She will receive a 20% discount.

Answers

8.75 is the answer there u go

ILL GIVE 50 POINTS

Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Answers

Answer:

Option 3 is right

Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.

Hope this helps:)

It is B from my point of view

a recipe uses 2 1/4 cup of flower for a batch of cookies and henry makes 10 batch how much flower did he use

Answers

Answer:

22.5 flower

Step-by-step explanation:

1/4 = 0.25 cups
2.25 x 10 = 22.5
The answer is 22 and 1/2 cups of flour for 10 batches.

Which equation has a greater rate of change than the linear function in the table? A. y = 6x + 13 B. y = -4x-18 C. y = 5x–3 D. y = -3x + 2​

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.

Answers

699.03 dollars

hope it helps

Plzzzz help this is really important!!

Answers

Answer:

i cant see the question it wont load sorry

Step-by-step explanation:

Answer: REDO!

1) 452.16

2) 254.16

3) 314

4) 200.96

Ask for an explanation**

Which is the quotient if 3/5 and 1/10?

Answers

Answer:

6

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

[tex]\frac{3*10}{5*1}[/tex]

30/5

Simplify by dividing the numerator and denominator by 5 :

[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]

Divide the numerator by denominator :

[tex]\frac{6}{1} = 6[/tex]

si 33 es multiplo 11 setiene que 11 es divisor de 33​

Answers

Answer:

ABOOMABALACACA VETE ALA VERGA

Step-by-step explanation:

CITA TIEMPOS

make m the subject of the formula g=√m-5/2

Answers

Answer:

answer is m = 5 + 2G^2

Step-by-step explanation:

first we have to cancel out the √ by powering both sides by 2

(G) ^2 =(√ m-5/2)^ 2

the 2 on the right side cancels out the √ which will be

G^2 = m - 5/2

we then cross multiply on both sides which will give us:

2*G^2 = m - 5

then carry 5 to the other side

2G^2 +5 = m - 5+5

therefore m = 5 + 2G ^2

clear steps in the picture

hope that helps

Answer:

answer is m = 5 + 2G^2

your welcome

Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.

Answers

0.620041 x 10^8 = 62,004,100. Hope this helps!

Urgent!

1 1/6 - 3/6 =?

Answers

Answer:

1 4/6

Step-by-step explanation:

Answer:

I got 0.66

Step-by-step explanation:

Alexa bought 4.7 pounds of apples. The apples cost $1.60 per pound. How much did she pay for the apples?

Answers

Answer:

Alexis spent $7.52 on her apples

Factor the polynomial below.

x2 + 6x + 9

Answers

Answer:

Step-by-step explanation:

x²+6x+9=(x+3)²

Solve for c.
-2c = 8

Answers

Answer:

c = -4.

Explanation:

If you divide -2 to both sides, it should equal -4.

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.

1 inch ≈ 1.578 × 10 -5 miles.

Answers

Answer: In 1225 miles, there are ≈7.7629 x 10⁷ inches

Step-by-step explanation:

Given that

1 inch≈ 1.578 × 10 -5 miles.

?? inches   =      1225 miles

Solving  

(1,225 x 1 inch) / 1.578 x 10 ⁻⁵)

=77,629,911 changing to scientific notation becomes 7.7629 x 10⁷ inches

please please please helpppp, (please show work if you can)

Answers

Answer:

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

m∠KIH = 68°m∠KIJ = (2x + 6)°m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

[tex]\left(2x+6\right)+\left(9x-4\right)=68[/tex]

Group like terms

[tex]2x+9x+6-4=68[/tex]

[tex]11x+2=68[/tex]

Subtract 2 from both sides

[tex]11x+2-2=68-2[/tex]

Simplify

[tex]11x=66[/tex]

Divide both sides by 11

[tex]\frac{11x}{11}=\frac{66}{11}[/tex]

Simplify

[tex]x=6[/tex]

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

Suppose there are exactly 9 people on a bus in Seattle, and the average of their yearly incomes is $65,000. At the next stop, the highest paid person on the bus (with an income of $120,000 per year) gets off, and Bill Gates gets on. Mr. Gates makes 7.6 billion dollars a year. Q9a: What is the new average salary of people on the bus?

Answers

Answer:

$844496111

Step-by-step explanation:

Size, n = 9

Initial average = 65000

Average = total sum / size

Initial Sum = 9 * 65000

Initial sum = $585,000

New average = ((585,000 - 120,000 + 7,600,000,000)) / 9

New average =

$7600465000 / 9

= $844496111. 11

= $844496111

What is the solution to the equation 4x-6= 10x-3?
X=-2
O X=2
O X=
O X= 2

Answers

Answer:

the first one x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4x−6=10x−3

Step 1: Subtract 10x from both sides.

4x−6−10x=10x−3−10x

−6x−6=−3

Step 2: Add 6 to both sides.

−6x−6+6=−3+6

−6x=3

Step 3: Divide both sides by -6.

Answer:

x = -1/2

Step-by-step explanation:

4x - 6 = 10x - 3

    +6           +6

  4x = 10x + 3

-10x   -10x

-6x = 3

3 / -6 = -1/2

A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?

A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t

Answers

Answer:

b

Step-by-step explanation:

The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.

Given:

Population,

25

Increasing rate,

r = 20%

Now,

The value after 1 year will be:

= [tex]25+(\frac{20}{100} )25[/tex]

= [tex]25+\frac{1}{5}\times 25[/tex]

= [tex]25+5[/tex]

= [tex]30[/tex]

Now

→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]

→                   [tex]R = 1.67[/tex]

hence,

The exponential growth rate to find the monthly growth rate will be:

→ [tex]y = 25(1.0167)^t[/tex]

Thus the above answer i.e., option C is the correct alternative.

Learn more:

https://brainly.com/question/11647902

Kisha ran 8 7/15 miles then walked 1 7/10. Find the total distance she traveled.

Answers

Answer:

the total distance she traveled is 10 1/5

Answer:

What you need to do, in this situation, is simplify the equation-- so it is able to be added" and solve

Step-by-step explanation:

First, find the lcm of 15 and 10. This value is 30 because 15*2 is 30 and 10*3 is 30.

Next, convert the two fractions so that each of them has a denominator of 30.

8 7/15 = 8 14/30

1 7/10 = 1 21/30

Clean up your values:

8 14/30 + 1 21/30

Finally, solve for d, distance (Hint: distance can never be negative; that is why absolute value exists)

You will result with 9 35/30

Simplify this and you will receive 10 5/30

Is this relatively prime? No: we need to simplify again

Final Answer: 10 1/6 miles

Rewrite 5 ⋅ x + 5 ⋅ 8 using parentheses.

Answers

Answer:

(5 ⋅ X) + (5 ⋅ 8) =

Step-by-step explanation:

What is 5 and 3/8 as a decimal? Is it repeating or terminating?

Answers

Answer:

5.375

Step-by-step explanation:

terminating

answer=== -5
process???

Answers

Answer:

x=-5

Step-by-step explanation:

First, you have to cross multiply.

2*2x+3     1*3x+1

4x+6=3x+1

Then, you subtract 3x from both sides.

4x+6=3x+1

-3x     -3x

x+6=1

Next, you subtract 6 from both sides.

x+6=1

    -6  -6

x=-5

Answer:

x = -5 (process below)

Step-by-step explanation:

1) To solve this easily, you can cross multiply. Multiply the numerator of the first fraction with the denominator of the second fraction, and multiply the denominator of the first fraction with the numerator of the second fraction:

[tex]\frac{2}{3x+1} = \frac{1}{2x+3} \\2(2x +3) = 1(3x + 1)\\4x + 6 = 3x + 1[/tex]

2) Next, isolate x to find its values. Subtract both sides by 3x.

[tex]4x + 6 = 3x +1\\x + 6 = 1[/tex]

3) Finally, subtract both sides by 6.

[tex]x + 6 = 1 \\x = -5[/tex]

loook below find the area

Answers

Step-by-step explanation:

step 1. this is a trapezoid. the area A = (b1 + b2)h/2 where b1 is the bottom base and b2 is the top base (per se), and h is the height. this formula is the definition of the area of a trapezoid.

step 2. A = (b1 + b2)h/2 = (22 + 9)(5)/2

step 3. A = 31(5)/2 = 155/2 = 77.5in^2.

8 is the factor of ___________.
(a) 72 (b) 73
(c) 74 (d) 75

Answers

Answer:

72

9 times 8 is 72

pls mark me as brainliest thanks

simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3

Answers

Answer:

C. 6x+3

Step-by-step explanation:

Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.

3*2x is 6x.

3*1 is 3.

This results in 6x+3.

Step-by-step explanation:

C.6x+3 thats tge answer

a^8/a^3
hey can someone help me

Answers

a^8/a^3=a^5 you subtract the exponents

Escriba el simbolo correcto (<,> o =) en el espacio. 27. A) 3__ 2/2 b) -3__-2/2 c) 3.5__ 2/2 28. A) 2/3__0.67 b)2/3__-0.67 c)

Answers

Answer:hey

Step-by-step explanation:

A triangle weighs six how much does a square away

Answers

Answer:

12

Step-by-step explanation:

triangle is half a square so 6*2 = square = 12

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