Huy is solving a quadratic equation by completing the square. His first few steps​ (steps 1-4) are shown below. Which of the following statements is true regarding​ Huy's work?

Given x2+3x−5=0
Solution x2+3x=5 step 1
x2+3x+9=5+9 step 2
(x+3)2=14 step 3
x=−3±14−−√ step 4(1 point)

Huy is incorrect. He made a mistake in step 1 when he added a 5 to both sides. He should have only added a 5 to the left side of the equation.

Huy is incorrect. He made a mistake in step 4 when he solved the equation (x+3)2=14 for x.

Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.

Huy is correct. He has done a nice job of completing the square.

Answers

Answer 1

Answer:

Step-by-step explanation:

yes the answer is B

it should have been x+3=+-[tex]\sqrt{14}[/tex]

so x=-3+-[tex]\sqrt{14}[/tex]

hope my answer helps if it does please mark as brainliest

Answer 2

The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Now,

Huy is solving a quadratic equation by completing the square.

The steps are;

The quadratic equation is,

⇒ x² + 3x - 5 = 0

Solution; x²+3x=5   (step 1)

x²+3x+9 = 5+9        (step 2)

(x + 3)² = 14             (step 3)

x = - 3 ± √14           (step 4)

Clearly, In step 2 when add 9 then it not make the square form.

That is,

x² + 3x + 9 ≠ (x + 3)²

Thus, The true statement will be;

''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''

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Related Questions

Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35

Answers

x²-10x + 25 = 35

x²-10x = 35-25

x²-10x = 10

x(x-10) = 10

x = 10

x-10 = 10
x = 10+ 10
x = 20


so x = 10 , x = 20

let x = -11/8 and y = -11/4 Which expression has a negative value? A. x + y B. x - y C. x . y D. x/y

Answers

The correct answer is A

-11/8 + (-11/4)
= -11/8 - 11/4
= -11/8 - 22/8
= -33/8

Is the table linear or nonlinear?
X 0 1 2 3
Y 2 4 8 16

Answers

Answer:

It is linear

Step-by-step explanation:

The Y goes up by the same amount as the X (by 4 Y's per 1 X)

Help ya girl out plsss

Answers

Answer: Scalane acute

Step-by-step explanation:

Answer:

Equilateral Acute.

Step-by-step explanation:

A triangle with 3 congruent angles is an equalateral triangle and all sides are acute

ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:​

Answers

Answer:

20 boys in the class

Step-by-step explanation:

40% of 50 is 20

which statement best describes the roots of f(x)=x^2-6x+25?

Answers

Answer:

permiteme veré en álgebra baldor

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

What are the roots of the equation?

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

f(x) = x² - 6x + 25

Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.

Then the roots of the equation are given as,

[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]

Simplify the equation further, then we have

x = 3 ± 4i

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

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4. The speed limit is 45 miles per hour. Choose the metric speed limit that is higher than 45 miles per hour. 0 91 km per hour 64.1 km per hour O 64.1 per hour


PLSS I NEED IT NOW​

Answers

Answer:

91 km per hour

Step-by-step explanation:

45 miles per hour is the same as 72 kilometers per hour (metric), so pick any value greater than 72 km per hour.

Melanie purchases 6 basketballs and 2 volleyballs for $114. A volleyball cost her $3 less than a basketball. How much did each volleyball cost?

Answers

Answer:

a volleyball is $16.5

Step-by-step explanation:

6b+2v= 114

v=b-3

6b+2(b-3)= 114

6b + 2b - 6

8b - 6 = 114

8b = 108

b= 13.5

substitute b in

6(13.5) + 2v = 114

81 + 2v = 114

2v = 33

v= 16.5

If a sprinkler waters 1/20 of a lawn in 1/5 of an hour how much time will it take to water the entire lawn?

• 3/20 hour

• 1/4 hour

• 4 hours

• 5 hours​

Answers

Answer:

4 hours

Step-by-step explanation:

Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Ryan paid 120 dollars a month

Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

7% interest = $10,00013% interest = $20,000

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000

Ali spent a total of $65 at the grocery store. Of this amount, he spent $39 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer:

He spent 60% on fruit

Step-by-step explanation:

Answer:

Step-by-step explanation:

65-39=26

26/100=0.26

Someone help me out please.

Answers

Answer:

The answer should be 64.21 or 64

Step-by-step explanation:

Help this Helped

3m+n=10
5m-2n=2
what is the answer for this one ​

Answers

Answer:

m = 2

n = 4

Step-by-step explanation:

Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:

3m + n = 10

multiply both sides by 2

6m + 2n = 20

now, in both of your equations you have 2n so you can add the two equations:

6m + 2n = 20

+ 5m - 2n = 2

11m = 22

divide both sides by 11

m = 2.

Now, plug this value into the original equation, 3m + n = 10:

3 * 2 + n = 10

6 + n = 10

subtract 6 from both sides

n = 4

A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?

Answers

Answer:

14.4

Step-by-step explanation:

2.5 divided by 6 is 2.4

2.4 x 6 = 14.4

(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.

PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:

PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.


Answers

Answer: 7x+28=119

x=13

Step-by-step explanation:

Answer:

119= 7x + 28

x=13

Step-by-step explanation:

This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.

119= 7(13) + 28.

what is the solution set of x+4/2x-1 <0

Answers

Answer: x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−1<0

Step 2: Add 1 to both sides.

3x−1+1<0+1

3x<1

Step 3: Divide both sides by 3.

3x/3 <1/3

x/1/3

2x +5y = -7
7x + y = -8
Solve by substitution SHOW WORK!

Answers

Answer:

x = 1, y = -15

Step-by-step explanation:

7x + y = -8 ⇒ y = -7x-8

2x + 5y = -7

substitute -7x-8 for y:

2x + 5(-7x-8) = -7

2x - 35x - 40 = -7

-33x - 40  = -7

-33x = -33

x = 1

y = -7x-8 = -15

True or false: 30% of 750 Km=225 km

Answers

It's True True True True True True True

1.- Sea y = 2x + 1 ¿Cuál es el valor de "y cuando"x" es igual a 7?
a) 15
b)3
c) 5
2.- Sea y = 3x? - 7 ¿Cuál es el valor de y cuando"x" es igual a 7?
a) 150
b) 140
c) 130​

Answers

1 es A porque 2 x 7 = 14 mas 1 es 15

No se numero dos. 3 x 7 es 21 menos 7 es 14, pero no hay un option de 14

I need help please.

Answers

Answer:

b

Step-by-step explanation:

beacause 2x+60 thats the answer

Given the perimeter is 180cm what is the length and breadth of the rectangle?

Answers

Check out Kathy way tbh

16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly

Answers

Answer:

b and c

Step-by-step explanation:

Please help me???.....

Answers

Answer:

40_ page 302

Step-by-step explanation:

mathematics teacher and she said that to me and happy holidays so we can get the text on

Answer:

im sry

Step-by-step explanation:

-3x + 7 = 1
what dose x represent

Answers

Answer:

the answer is x=3

Step-by-step explanation:

-3x=1-7

-3x=-6

-x=-6+3

-x=-3

x=3

ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1

Answers

Answer:

The answer is either 56.55in or 28.27

Step-by-step explanation:

This is the formula that I used

C=2πr

Circumference = 2·π·4.5 ≈ 28.27433 or

Circumference = 2·π·9 ≈ 56.54867

The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.

Hope that helps :)

The circumference of the circle will be 56.52 inches.


What is a circumference?

The circumference of a circle can be found using the formula:

Circumference = 2πr

Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:

Circumference = 2π(9 inches)

Circumference = 18π inches

We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:

Circumference ≈ 56.52 inches

Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.

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HELP AGAIN I NEED IT BADLY

Answers

Answer:

A. 5b - w + 8

Step-by-step explanation:

3w + 6 - 4w + 3b + 2 + 2b

= 3w - 4w + 3b + 2b + 6 + 2

= -w + 5b + 8

= 5b - w + 8

=> A. 5b - w + 8

Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum

Answers

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.

Answers

Answer:

41.91 is your answer right answer

When a system of linear equations has no solution the graph will

a - have parallel lines
b- be the same line
c- have intersecting lines

Answers

Answer:

A

Step-by-step explanation:

there is no intersection which means no solution...i dont knwo how to explain sorry

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