Answer:
15
Step-by-step explanation:
To find the common denominator we look for the LCM
15: 15,30,45,60
3: 3,6,9,12,15
Our LCM is 15
Meaning our LCD is 15
Brainliest please :)
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
The standard form is:
ax² + bx + c = 0Convert 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: ^^
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:
:)
someone please help
Step-by-step explanation:
polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).
so,
A is not.
(x + 2)³ = x³ + 8
(x+2)(x+2)(x+2) = x³ + 8
(x² + 4x + 4)(x+2) = x³ + 8
x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8
x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8
B is not.
x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)
x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x
x⁶ + x = x⁶ - x
that is definitely not generally equal.
C is an identity
(x² - 1)(x⁴ + x² + 1) = x⁶ - 1
x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1
x⁶ - 1 = x⁶ - 1
yes, identical.
D is not.
(x+1)⁴ = x⁴ + x³ + x² + x + 1
(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1
(x²+2x+1)² = x⁴ + x³ + x² + x + 1
x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =
x⁴ + 4x³ + 6x² + 4x + 1
that is definitely not generally the same as
x⁴ + x³ + x² + x + 1
E is an identity
(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1
x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =
x⁵ + 1 = x⁵ + 1
yes, identical.
F is an identity
(x³-1)(x³+1) = x⁶ - 1
x⁶ + x³ - x³ - 1 = x⁶ - 1
x⁶ - 1 = x⁶ - 1
yes, identical.
The cube less the square of a number is twice the number. If x is a positive integer, what is its value
Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
(Please please, actually type the answer and dont send it in a file because it wont work)
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?
Answer: like 36 i think
Step-by-step explanation:
Answer:
14168
Step-by-step explanation: just multiple
Keisha bought seventy-two trading cards for her and her eleven friends. If Keisha and her friends get an equal amount, how many cards does each person receive?
Answer: 6
Step-by-step explanation: You might think the answer is 72/11 but you must realize that keisha counts as a person too. Thus, the answer is 72/12 or 6 cards for each person :)
Would appreciate brainly <3
72 trading cards
11 friends
to find:how many cards each of her friend receives.
solution:[tex] \frac{72}{11} [/tex]
[tex] = 6.5454545455[/tex]
[tex]nearest \: whole \: number = 7[/tex]
so, approximately each of her friend will get 7 cards.
answer= option C
10+ Points)
Which is the graph of a proportional relationship?
Answer:
A
Step-by-step explanation:
The graph representing a proportional relationship is a straight line graph passing through the origin.
This is shown in graph A
Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333
I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.
ATQ
[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]
[tex]\\ \sf\longmapsto 3m+10=37[/tex]
[tex]\\ \sf\longmapsto 3m=27[/tex]
[tex]\\ \sf\longmapsto m=9[/tex]
Elena=9miJade=13miLin=15miFind 1 2··31 1 22 1··22. Show your work
1 = 1 = 1 < 2 < 22
1 is equal to 1 is equal to 1 is less than 2 is less than 22
1 = 1 =1 < 2 < 22 1 1 1 1 1 hope help mark brain.....?
Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.
Step-by-step explanation:
R = x²/y
Substitute
R = (4.8×10⁵)²/2.8×10⁴
= 4.8²×10¹⁰/2.8×10⁴
= 23.04×10¹⁰/28000
Round 5.456 to the nearest tenth.
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
We use the hundredths place, so 5.
5 gets rounded up, so we have 5.5
With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?
The probability of her NOT drawing a red card are very likely
i need help please, i need the answer now!
The difference of two numbers is 3. Their sum is - 24. Find the numbers.
Answer:
y = -13.5
x = -10.5
Step-by-step explanation:
Hi there!
Let the two numbers be equal to x and y.
The difference of two numbers is 3 ⇒ x - y = 3
Their sum is - 24 ⇒ x + y = -24
Solve using elimination:
x - y = 3
x + y = -24
Add the two equations:
x + x - y + y = 3 - 24
2x = -21
x = -10.5
Solve for y:
-10.5 - y = 3
- y = 3 + 10.5
y = -13.5
I hope this helps!
Are these parallel or perpendicular or neither? 8x-2y=4 and x+4y=-12
Answer:
perpendicular
Step-by-step explanation:
(x+4y=-12) = (y = − 1 /4 x − 3)
(8x-2y=4) = (y = 4 x -2)
This table gives select values of the differentiable function h.
x -4 -1 0 1 4
h(x) -26 -15 -32 -39 -35
What is the best estimate for h'(-2) we can make based on this table?
Choose 1 answer:
a 11
b 3.67
c -1.13
d -20.5
solve pls brainliest
Answer:
0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )
[tex] \frac{23}{25} [/tex]
0.777... can't be wrtten as a fraction, because it is a repeating decimal.
0.444... can't be written as a fraction, because it is a repeating fraction.
0.5813.. can't be written as a fraction, because
it is a decimal that neither terminates nor repeats.
For example : Root numbers don't terminates or repeats.
[tex] \sqrt{ 2} = 1.41421...[/tex]
I hope it helps.
Jane’s bank account grew from $2175 to $2262. What was the percent increase in her account?
Answer:
I believe it increased by 10%
Step-by-step explanation:
785 to the nearest 10
find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?
Answer:
see below
Step-by-step explanation:
the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11
hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)
Answer:
0.86 as a percent is 86%.
Step-by-step explanation:
Have a great rest of your day
#Nova
P.S
give the braineist to the other person pls
PLS HELP WILL MARK BRAINLIEST!
Answer:
81 x² - 4 y²
Answer C is correct.
Step-by-step explanation:
First, you have to find the area of the larger square.
Area of the larger square = (9x) × (9x)
= 81 x²
Then you have to find the area of the un shaded square,
Area of the unshaded square = (2y) × (2y)
= 4 y²
Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.
Area of the shaded region = Area of the larger square - Area of the unshaded square
= 81 x² - 4 y²
Hope this helps you.
Let me know if you have any other questions :-)
If each unit represents 3.2 miles, what us the distance from school to the football field?
⦁ You started with $300, and you spent $115 on Jake. You also set aside money to cover the sales tax on $300. Now it’s your turn to decide exactly what you will purchase with the money you have left. You calculated the costs and best prices for sheets, shoes, dressers, and peaches, but you didn’t buy anything yet. Now it’s time to make your purchases. Make a list of the things you will buy and how much each items cost. Explain your purchasing decisions. PLEASE HELP ME THIS IS FOR MATH AND I AM GOOD AT MATH BUT NOT AT WRITING PLEASE HELP.
Answer:Twin Bed – $60.48
Shoes - $20
Dresser, Mirror, Bookshelf - $82.11
Blanket, Clothes, Toys, Diapers - $277
Step-by-step explanation:
This gives us a total of 439.59
find the lowest common multiple of: 10 ,15 and 18
Answer:
90
Step-by-step explanation:
Tim buys a book for $50.38. If he paid 3% in sales tax, then what did the book cost
before tax?
Answer:
Total cost of the book = $51.89
Step-by-step explanation:
Total cost of the book = Cost of the book + (cost of the book × sale tax %)
Total cost of the book = $50.38 + ($50.38 × .03) 3% = .03 as a decimal
Total cost of the book =$50.38 + $1.5114)
Total cost of the book = $51.8914
Total cost of the book = $51.89
cost $ 99.99 Markup rate 10 %
!!!!!!!10 POINTS TO WHO EVER ANSWER I WILL BE GIVING MORE ON THE NEXT QUESTION!!!!!!!
Answer: %0.00100010001
Step-by-step explanation:
Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!
The radius of a vegetable garden is 63m. If 1188m pf wire is given to fence around it, how many rounds of fencing can be made
Answer:
3 roundsStep-by-step explanation:
Circumference of the garden is:
C = 2πrC = 2*3.14*63 = 395.64 mNumber of rounds:
1188 / 395.64 = 3Radius=63m=r
Circumference
[tex]\\ \sf\longmapsto 2πr[/tex]
[tex]\\ \sf\longmapsto 2(3.14)(63)[/tex]
[tex]\\ \sf\longmapsto 6.28(63)[/tex]
[tex]\\ \sf\longmapsto 395.6m[/tex]
Wire=1188mRounds:-.
[tex]\\ \sf\longmapsto 1188/395\approx 3[/tex]
The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.
Answer:
It's 6
p=6
Step-by-step explanation: