Jackie solved the equation by completing the square.

x^2−8x+14=0
Which equation shows one of the steps Jackie could have taken to complete the square?

Question 1 options:

x^2−8x+64=−14

x^2−8x+16=−14

x^2−8x+64=−14+64

x^2−8x+16=−14+16

Answers

Answer 1
A is the correct answer.

Related Questions

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

What are the domain and the range of this function?

Answers

If your graph doesn’t have a stopping point and continues off the graph then your domain would be all real numbers or (♾,-♾) and range is the highest or lowest part of graph, sorry if this didn’t help much I’m not very good at explaining things

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.

Answers

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:3.6

0

Step-by-step explanation:

Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red car traveled 38 feet im 2 seconds.

Answers

Answer:

The red car is faster compared to the blue car.

The red car is faster by 5.5 feet than the blue car.

Step-by-step explanation:

The objective is to find which car is  faster and by how much

Given that:

The blue car traveled 54 feet in 4 seconds; &

The red car traveled 38 feet in 2 seconds.

Let us determine the number of feet traveled in each second for both cases.

For the blue car:

In 1 second, the car will travel = 54/4 feet

In 1 second, the car will travel = 13.5 feet

For the red car:

In 1 second, the car will travel = 38/2 feet

In 1 second, the car will travel = 19 feet

Thus, the red car is faster compared to the blue car.

The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet

= 5.5 feet

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

hcf and lcm of 120 and 180, shown your work

Answers

The HCM and LCM of 120 and 180 are 360.

What is HCF and LCM?

The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

Given are two numbers as -

120 and 180

We can write 120 and 180 as -

120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60

Now, we can find LCM using the formula -

LCM(a, b) = (a x b)/HCF(a, b)

LCM(a, b) = (120 x 180)/60

LCM(a, b) = 2 x 180 = 360

Therefore, the HCM and LCM of 120 and 180 are 360.

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1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was

that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,

2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed

on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and

played throughout the night. As each group awoke, their sleep times were monitored.

Independent Variable:

Dependent Variable:

Experimental Group:

Control Group:

3 constants:

?

Answers

Answer:

Independent Variable:  Jazz music

Dependent Variable: Sleeping Time

Experimental Group: people sleeping with jazz music

Control Group: people sleeping without jazz music

3 constants:

No of people in group

Jazz music

Sleep

Step-by-step explanation:

The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.

The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.

Experimental group on which experiment is being carried out.

Control group is which determines the changes in experimental group.

Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .

A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?

A.Green and brown are equally expressed so they are both dominant.


B.Green is more common than brown so more green genes are passed on.


C.The gene for green color is dominant over the gene for brown color.



D.The gene for brown color is dominant over the gene for green color.

Answers

Answer:

C.

The green color gene is more dominant over the gene for brown color.

Step-by-step explanation:

Whichever gene is dominant is the one that will be applied to the organism.

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answers

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

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Solve w + (-2) = -18 for w.

w =

Answers

Answer:

Step-by-step explanation:

w - 2 = -18

w - 2 + 2 = - 18 + 2

w = -16

Answer:

-16

Step-by-step explanation:

w + (-2) = -18 w= -16

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

Answers

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3

Answers

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

Help will give a crown!!

Answers

Answer:

okay

Step-by-step explanation:

1) Each side length is 12

2) Each side length is 2

How do I solve this and check all the solutions?

Answers

Answer:

x = 2

Step-by-step explanation:

(Square both sides)

20 - 8x = x^2

(Solve 20 - 8x = x^2)

x = 2 , x = 10

x = 10 is false, so the answer is x = 2.

Answer:

x=2

Step-by-step explanation:

√20-8x=x

2√5-2x=x (by simplfing redical expression)

4(5-2x)=x^2 (square both side)

20-8x=x^2

20-8x-x^2=0

-x^2-8x+20=0

x^2+8x-20=0

x=2

Note:There is a another answer x=-10 But it's wouldn't fit out with this equation

Please help me answer 16 please

Answers

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

Will mark brainliest! Please help I have no idea!

Answers

Answer:

the decimals should line up.

Answer:

press the right arrow 3 times

Step-by-step explanation:

to properly subtract any numbers the value of the digits need to be in line

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answers

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides:          1 = 1.4x + 3.1Subtract 3.1 on both sides:             -2.1 = 1.4xDivide both sides by 1.4:                 -1.5 = xRewrite:                                            x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply:                           -0.3 + 1 = -2.4 + 3.1Add:                                 0.7 = 0.7
Your answer is -1.5

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

How do I solve 4x+23>-21

Answers

Answer:

Inequality Form:

x>-11

Step-by-step explanation:

Interval Notation:

(-11,\infty )

Answer:

Step-by-step explanation:

4x + 23 > -21

4x > -21 -23  (moving 23 to the right side of equation changes the +23 to  -23

4x > -44  (adding -21 to -23)

x > -11  (dividing both sides of equation by 4, this keeps the equation the same

Solution:  x > -11  (x is greater than negative 11)

a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven​

Answers

Answer:

0.32x + 60= y

Step-by-step explanation:

[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this

Answers

Answer:

The simplified answer to that is -0.2x.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

-0.2x

Step-by-step explanation:

If x is negative then,

-0.2(-2) = 0.4

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle

Answers

72 = 12x
x= 6

A= 3x
A=18cm
B=4x
B=24cm
C=5x
C=30cm

Area=(A*B)/2
Area=216cm^2

The area of the given triangle will be 216 cm²

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.

Let the side lengths of the given triangle be 3x, 4x, and 5x

The perimeter of the triangle = 3x + 4x + 5x

72 = 12x

x = 6

So first side length = 3(6) = 18 cm

So second side length = 4(6) = 24 cm

And third side length = 5(6) = 30 cm

Area of the triangle = (18 × 24)/2

Area of the triangle = 216 cm²

Therefore, the area of the given triangle will be 216 cm².

Learn more about the triangles here:

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