Use the Completing the Square method to solve for x.
y= (x + 3)2 – 4.
OX= 1 & 5
Ox= -1 & 5
O x = 1 & -5
OX= -1 & -5

Use The Completing The Square Method To Solve For X.y= (x + 3)2 4.OX= 1 & 5Ox= -1 & 5O X = 1

Answers

Answer 1

Answer:

x = -1

x = -5

Step-by-step explanation:

y= (x+3)^2 - 4

(x + 3)^2 = x^2+6x+9

y = x^2 + 6x + 9 - 4

y = x^2 + 6x + 5

x^2 + 6x = -5

x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)

(x + 3)^2 = 4

x + 3 = sqrt 4

x + 3 = +- 2

x + 3= 2. x = 2-3. x = -1

x + 3 = -2. x = -3-2. x = -5


Related Questions

Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?

Answers

24 minutes because if you find the unit rate of how long one truck takes it’s around 2 minutes then multiply it by 9 you have your answer

draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x​

Answers

Answer:

I graphed the answer above in the image

PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER

Answers

Answer:

option D

[tex] {10x}^{2} + 3x - 8[/tex]

Answer:I would say A I found out 2X^2+-1 first

Step-by-step explanation:2x

2

+−1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2×2x

2−1

Multiply 2 times 2.

4x

2−1

Subtract 1 from 2.

4x

1

For any term t, t

1

=t.

4x

Then I saw that 6-2 making 4 so I chose the first one

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
Oy = 4x - 28
Oy = 4x + 28
Oy=-x-2
4
Oy=x+ 2
4
revious Question

Answers

Answer:

y = 4x - 28

Step-by-step explanation:

When two lines are parallel, their slope stays the same. thus we have y = 4x (so far)

Then use the point (8, 4) to plug in the coordinates to y = 4x + b

y = 4x + b (because y-intercept changes)

4 = 4(8) + b

4 = 32 + b

b = 4 - 32

b = -28

the y-intercept is -28 and the equation of the line that passes through the point (8, 4) and is parallel to the line y = 4x + 2 is y = 4x - 28

Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.

Answers

Answer:

r+51 peppers

Step-by-step explanation:

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 42
cards, which was 4% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Multiply/scale up to solve.
cards
42
100
4
percent

Answers

Answer:

Bob sold 1,050 cards for Mother’s Day  

Step-by-step explanation:

Negative four and one-fifth minus negative thirteen and one-tenth

Answers

Answer:

8 nine tenths

Step-by-step explanation:

-4 1/5 -(-13 1/10)
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10

Can anyone please help me with this?

Answers

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.

2. (Solving)

Step 1: Combine like terms.

[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]

Step 2: Subtract 20 from both sides.

[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]

Step 3: Subtract 5x from both sides.

[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]

Step 4: Check if solution is correct.

[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]

3. Now, let's plug in 15 for 6x + 20:

[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]

Therefore, m∠QPT = 110°.

answer:

120


explain..
i hope this helps

Which number equals (34)−2?

Answers

Answer:

32

Step-by-step explanation:

Please help me solve this ASAP please !

Answers

This is a Reflection :) Have a great day !

Reflection because it is the same just flipped over the line, and all the points are the same.

Choose the algebraic expression that matches the word phrase below.

the quotient of x and 10

Answers

Answer:

x ÷ 10

..,.................

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form.​

Answers

Answer:
y=2
Explanation:
Just trust me

translate 3(x-y)=2y+9 into a verbal sentence

Answers

Answer:

3 times x then minus 3 times y equal 2y plus 9

Step-by-step explanation:

Not sure if it works......

that's the verbal sentence (which is not formal sentence) i can think of now......

Help please thank you so much!

Answers

f(2) = 2^(2-4) = 2^-2 = 1/4
g(1/4) = 5/(1/4) = 5 * 4 = 20

Solution: 20

Answer:

Answer: 20

Step-by-step explanation:

2^2-4=0.25

5/0.25=20

May I please receive help?
Please?

Answers

Slope Formula: (y2 - y1) / (x2 - x1)

Line 1: 3

Point 1 = (-5, -8)

Point 2 = (-1, 4)

Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3

Line 2: 3

Point 1 = (0, 1)

Point 2 = (2, 7)

Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3

Line 3: -1/3

Point 1 = (6, -7)

Point 2 = (-6, -3)

Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1 and Line 2 are parallel because they have the same slope.

Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.

Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.

Hope this helps!! :)

Answer:

3

3

-1/3

Parallel

Perpendicular

Perpendicular

Step-by-step explanation:

You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.

The formula for slope is y2-y1   divided by x2-x1

y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).

y1 is a point from the first pair like (-5, -8), or (0, 1).

You can plug in the values for example:

4 - (-8)  / -1 - (-5)

Two negatives equals a positive in math, so

12 / 4

= 3.

The slope for line 1 is 3.

You extend this to the other two lines.

For lines to be parallel, they must have the same slope.

1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.

Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.

For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)

A reciprocal slope of 19348 is -1/19348.

The table shows the cost of some apples. Which function ƒ(x) is represented in the table?

A)

ƒ(x) = 2x + 2

B)

ƒ(x) = 0.5x

C)

ƒ(x) = 0.5x + 2

D)

ƒ(x) = 2x

Answers

Answer:

D) f(x) = 2x

Step-by-step explanation:

The ordered pairs from the table:

(1, 2), (2, 4), (3, 6)

Find the slope:

m = (4 - 2)/(2 - 1) = 2

Find the y- intercept:

2 = 2*1 + b ⇒ b = 0

The function is:

f(x) = 2x

Correct choice is D

Take any two pairs

(1,2)(3,6)

Slope

m=6-2/3-1m=4/2m=2

Equation in point slope form

y-2=2(x-1)y-2=2x-2y=2x

The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have

Answers

Answer:

3- 5 snakes

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required number of snakes is ~

[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

[tex] \dfrac{350}{120} [/tex]

[tex] \dfrac{35}{12} [/tex]

[tex] \approx3[/tex]

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

[tex] \dfrac{600}{120} [/tex]

[tex]5[/tex]

So,

The Eagle should have 3 - 5 snakes per day ~

how can I Simplify 4p³ × 3p⁷​

Answers

[tex] = 12 {p}^{10} [/tex]

hope it helps

#carry on learning

Find m FGN
See picture and give explanation please! Thank you!

Answers

Answer:

m<FGN=(7x+18)º=88º

Step-by-step explanation:

(7x+18)º=(6x-10)º+38º

x=10

so

m<FGN=(7x+18)º=88º

hope this is the answer you're looking for.

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee thx

Answers

Answer:

Well, the answer is n= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Please Please Help Me​

Answers

Answer:

Step-by-step explanation:

(4^29)

(4^29) this is the awnser have a good day fellow person

What is the square root of 74 rounded to the nearest tenth

Answers

The square root of 74 rounded to the nearest tenth is gotten as; 8.6

How to find the Square root of a number?

We want to find the square root of 74.

This square root of 74 is expressed as;

√74

Now, the value of that square root is;

√74 = 8.6023

Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6

Read more about square root at; https://brainly.com/question/98314

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Joe drove 315 Thousand five hours at the same rate how many miles do you drive in 7 hours?

Answers

Answer:

441 miles

Step-by-step explanation:

1st find rate from the given

D = RT

315 = 5R

63 = R miles/hour     so,

then find distance for 7 hours

D = RT

D = 63 * 7

D = 441

Answer:

Item 3. 4 3/8

Item 4. 4/9

Item 5. 4/3

Item 6. 1/8

Item 7. 0.8

Item 8. 5.20 or 5.2 (You can choose which to put)

Item 9. 1 7/8

Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000

Step-by-step explanation:

Express 1.07 into percentage​

Answers

1.07 x 100 = 107%
hope this helps! :)

Answer:

12 * 1.07 = 12.84

Step-by-step explanation:

You an can pick any number to express another number in this example we find  0.84 = 7% and 12 = 1 as 12 represents 1 whole.

no need for explanation just answer

Answers

Answer:

19

Step-by-step explanation:

Sarah wants to
install new carpet in her living room.
The small square is tiled and will not be
carpeted. How many square yards of
carpet will she need?

Answers

Answer:

24 yd^2

Step-by-step explanation:

6yd * 4yd = 24 yd^2

Which are aspects covered by Bohr’s atomic model?

Electrons can have a measured radius.

Higher orbits have lower energies.

Electrons exist between orbits.

Electrons do not have energy, the energy is determined by the orbit.

Answers

The statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

What is Bohr's atomic model?

In the Bohr atomic model, electrons are grouped according to their energy levels. The energy level at which an electron is located determines its energy.

As we know,

The aspects covered by Bohr’s atomic model are:

Electrons can have a measured radius.Electrons do not have energy, the energy is determined by the orbit.

Energy is absorbed by electrons as they transition from a lower to a higher energy state. The electron emits energy when it transitions from a higher to a lower energy level. Visible light is one way to view this energy.

Thus, the statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

Learn more about Bohr's atomic model here:

https://brainly.com/question/16858921

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Answer: Electrons do not have energy, the energy is determined by the orbit." or A and b

Step-by-step explanation: The correct answer is, "Electrons do not have energy, the energy is determined by the orbit."

In the Bohr model of the atom, electrons are arranged in energy levels. The energy of an electron is determined by the energy level in which it is found.

When electron an the  electron moves from a lower to a higher energy level it absorbs energy. When the electron moves from a higher to a lower energy level, it radiates energy. This energy is observed in the form of visible light.

Thus, in the Bohr's model, electrons are arranged in energy levels. The energy level where an electron is found determines its energy.

PLEASE HELP ME WILL MARK YOU BRAINLIEST

Answers

1.

2(2)^3 - 5(2)^2

2(8) - 5(4)

16 - 20

-4

2.

[ 4(5)^2 + 2 ] / [ 5 + 1 ]

(4(25) + 2) / 6

100 + 2 / 6

102 / 6

17

3.

15 - (-1)^5

15 - - 1

15 + 1

16

Hope this helps!! :)

Where is the velocity positive?
х
C D
E
B
А
F G
A. B-E
B. C-D
C. A-C
D. B & E

Answers

Answer:

A-C

Step-by-step explanation:

Positive velocity means the graph is going up. Hope it helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.

Answers

Answer:

Where is the Table?

Step-by-step explanation:

The number of students which prefer action-movies to scary movies are 25 students.

To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,

Number of students who prefer action movies = 14,

Total surveyed students = 40,

Total school students = 200,

Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),

Proportion of students who prefer action movies = 14/40 = 0.35,

Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students

Predicted number of students who prefer action movies = 0.35×200 = 70,

Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,

Predicted number of students who prefer scary movies = (9/40)×200 = 45

Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),

Difference = 70 - 45 = 25,

Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.

Learn more about Prediction here

https://brainly.com/question/25716361

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The given question is incomplete, the complete question is

Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.

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