Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4

Answers

Answer 1

The standard form is:

ax² + bx + c = 0

Convert each equation:

1. x² + 2x = -1                        add 1 to both sides

⇒ x² + 2x + 1 = 0

2. 4 + x² = 7x                        add - 7x to both sides and rearrange

⇒ x² - 7x + 4 = 0

3. x² - x = 1                            add - 1 to both sides

⇒ x² - x - 1 = 0

4. x² + 9x = 10                       add - 10 to both sides

⇒ x² + 9x - 10 = 0

5. 4x + 3 = x²                        add -4x - 3 to both sides

⇒ x² - 4x - 3 = 0

6. x² + 5x = 5                        add -5 to both sides

⇒ x² + 5x - 5 = 0

7. 2x² + 7x = 3                      add -3 to both sides

⇒ 2x² + 7x - 3 = 0

8. x² = 3x + 8                        add -3x - 8 to both sides

⇒ x² - 3x - 8 = 0

9. x(x + 3) = 1                         distribute and add - 1 to both sides

⇒ x² + 3x - 1 = 0

10. x² - 3x = -2                       add 2 to both sides

⇒ x² - 3x + 2 = 0

11. y² - 7y = -6                        add 6 to both sides

⇒ y² - 7y + 6 = 0

12. z² - 5z = -4                       add 4 to both sides

⇒ z² - 5z + 4 = 0

Answer 2

Answer: ^^

1. x2 + 2x + 1 = 0

2. x^2 - 7x + 4 = 0

3. x^2 - x - 1 = 0

4. x^2 + 9x - 10 = 0

5. -x^2 + 4x + 3 = 0

6. x^2 + 5x - 5 = 0

7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0

8. x^2 - 3x - 8 = 0

9. x^2 + 3x - 1 = 0

10. x^2 - 3x + 2 = 0

11. y^2 - 7y + 6 = 0

12. z^2 - 5z + 4 = 0

Step-by-step explanation:

:)


Related Questions

Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number? 3x = 3 2x x = 3 2x 3x 3 = 2x 3x = 3 2 x.

Answers

We can begin by assigning a variable to the unknown number; in this case a number. Let's call this unknown number x (as that is the variable that the answer choices are given in terms of). Once we have our variable, we can begin to translate the written problem into numbers.

"Three times a number" implies multiplication of x by 3.
"is" indicates an = sign.
"three more" implies addition of 3.
"twice the number" can be translated to multiply x by 2.

Adding all of these together we get 3x=3 + 2x.

Answer:

A

Step-by-step explanation:

kokokokokkokokokokokookokokk.

Answers

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm​

Answers

Answer:

1 cm

Step-by-step explanation:


pls help! i will mark you brainliest !

Answers

Answer:

24

Step-by-step explanation:

the sum of the three consecutive integers is -105 what are the three numbers?

Answers

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Let first number=x, second number=x+1, third number=x+2
Equating the sum of three number to -105 and finding x, the three integers are -36,-35 and -34

What is the volume of a sphere with a surface area of 64 pi cm^2?

16 pi cm^3

21 1/3 pi cm^3

48pi cm^3

85 1/3 pi cm^3

Answers

Answer:

Hello, have a great day.

Answer:

85 1/3 pi cm3 I hope this helps.

PLEASE HELP ME THIS I DUE MONDAY

Which of the following is the best definition of a unit rate?
A) A unit rate is two ratios that have the same value.
B) A unit rate is a rate that has a denominator of one unit.
C) A unit rate is a ratio of two quantities that have different units.
D) A unit rate is something that uses division to compare two numbers

Answers

Answer: B

Step-by-step explanation: A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator.

Would appreciate brainly <3

Answer:

Unit rate means a ratio between two units values, where the unit in the denominator is always one.

Step-by-step explanation:

You can write which one is easy for u.

100 points if u get this wrong ty!

Answers

Answer:

39 cm²

Step-by-step explanation:

Area of trapezoid:

A = 1/2(b₁ + b₂)h

Substitute values:

A = 1/2(9 + 4)*6 = 39

Answer:

39 cm²

Step-by-step explanation:

Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]

=> [tex](\frac{4 +9}{2}) 6[/tex]

=> [tex](\frac{13}{2} )6[/tex]

=> 13 x 3

=> 39 cm²

Hoped this helped.

Can my grade go up to an A within 3 weeks if i just do class work?

Answers

Answer:

da_mn the struggle is real

Step-by-step explanation:

Geometry- Solve the portion. Question#3​

Answers

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)

Answers

Answer:

- 166

Step-by-step explanation:

First step is to evaluate 7*3

7*3 ( with p = 7 and q = 3 )

= - 5(3) + 7²

= - 15 + 49

= 34

Now evaluate

2*34 ( with p = 2 and q = 34 )

= - 5(34) + 2²

= - 170 + 4

= - 166

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
(c) ∆CBA ≅ ∆PQR
(d)∆CAB ≅ ∆PQR

Answers

Answer:

c. CBA = PQR

Step-by-step explanation:

Ibrar bought a house for £250,000
The value of the house depreciated by 2% in the first year.
The value of the house depreciated by 0.6% in the second year.
Ibrar says,
"2 + 0.6 = 2.6 so in two years the value of my house depreciated by 2.6%"
Is Ibrar right?
You must give a reason for your answer

Answers

Step-by-step explanation:

nope!

because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total

Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!!

Answers

Answer:

36 boards

Step-by-step explanation:

The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.

Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)

I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.

Therefore he needs 36 boards

What is the answer to number 4 ?

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Megan rolls a ball down a ramp until the ball hits the wall.

Answers

cool the answer is y because she spend that

Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?

Answers

You forgot to add some information

The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.

Answers

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

Factorise: 3x²+17x+10

Answers

The answer is (x+5) (3x+2)

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

Solve for x.

5 = 2x − 3
(✿◡‿◡)

Answers

Answer: x=4

Step-by-step explanation:

The answer of X would be X=4

Divide the complex numbers. Write the answer in the form a + bi. (30 points)

Prefer work shown as it would be super helpful, thank you.

Answers

We make use of the identity,

a² - b² = (a - b) (a + b)

with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :

(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))

(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74

Expand the numerator on the right side:

(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74

(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74

(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74

Which of the following represent opposites? –1 and 2 10 and 0 –20 and 21 11 and –11

Answers

Answer:

I am also indian i know this solution if you want to know commet here

A laptop computer is purchased for 3100. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth $600 or less

Answers

Answer:7 to 9? Years

Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.

Answer:

6 years

Step-by-step explanation:

Y = IA (r)^t

600 = 3100 (.75)^t

then just solve for T i recommend using guess and check, but thats me

and youll get 6 years.

answer it pls
pls
pls

Answers

Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

HELP ME!! Move the terms to their corresponding categories. Either Domain or Range.

Answers

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Independent variableInput valueX-value

Range

Dependent variableY-valueOutput value

Hope this helps!!

What is an equation of the line perpendicular to y=1/5x+2
That contains (15, -4)?

PLS HELP

Answers

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?

Answers

25% of 28 is 7.
The club decreased to 7 ski members

Answer:

210

Step-by-step explanation:

25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.

If there are 357 chairs in 7 rows,
how many chairs are in each row

Answers

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

Sixteen Students Have Registered For A Summer Sports Camp. They Are To Be Divided Into Either A Swimming Or A Tennis activity, with no more than 10 students IN EITHER GROUP. in how many ways could the group in the tennis activity be chosen?

Answers

Divide 10 by 2 than separate both groups into 5 sections in each activity

There are 5 ways you could choose the group in tennis.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The total no of students is 16,

As there can be only a maximum of 10 students in a group,

If the student in Swimming is 10 then in Tennis it will be 6,

If the student in Swimming is 9 then in Tennis it will be 7,

If the student in Swimming is 8 then in Tennis it will be 8,

If the student in Swimming is 7 then in Tennis it  will be 9,

If the student in Swimming is 6 then in Tennis it will be 10,

Therefore, there are 5 ways you could choose the group in tennis.

To know more about division:

https://brainly.com/question/27566440

#SPJ3

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer: x = 55/2

Step-by-step explanation: (x)(2) (-3)(2) = 49                                                       2x-6+6 = 49+6                                                                                                               2x/2 = 55/2                                                                                                                   x = 55/2

I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

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