solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]


thankyou ~​

Answers

Answer 1
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x= 3, 2
Answer 2

[tex]\boxed{\bold{x = 2, 3}}[/tex]

Stepwise Solving:

[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]

[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

Identify the coefficients:

a = 1b = -5c = 6

Solve for x:

[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]

[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]


Related Questions

What numbers could replace each letter to make both of the number sentences true?

Answers

Answer:

N = 9  & P = 4

Step-by-step explanation:

N* N = 81

N * N = 9*9

N = 9

N * P = 36

Substitute N = 9,

9* p = 36

    P = 36 ÷ 9

  P = 4

The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies

Answers

Answer:

97

Step-by-step explanation:

196 ÷ 2 = 97.5

you cannot include the .5, so each school gets 97 pies

the question is below

Answers

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

[tex]\frac{B_1 + B_2}{2}* h[/tex]

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.7559.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : [tex]a^2 + b^2 = c^2[/tex]

a is a legb is a legc is the hypotenuse

Images attached for your reference

Simplify.
1/3 ≠ 18n^2 * 2n

Answers

Answer:

n³ ≠ 108

Step-by-step explanation:

1/3 ≠ 18n² * 2n

1/3 ≠ 18 * n² * 2 * n

1/3 ≠ 18 * 2 * n² * n

1/3 ≠ 36n³

Cross multiply,

1 * n³ ≠ 3 * 36

n³ ≠ 108

Hence simplified.

A total of 30000 tickets were sold for a concert of this amont 1/4 were sold for $1500 each 1/3 at $ 1000 each and the rest at $750 each .how many were sold at $750

Answers

Answer:

12,600

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

Together they equal 7/12

The different is 5/12

5/12 = .416666 =.42

.42 x 30,000 = 12,600

There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can
choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?

A. 57
B. 5
C. 15
D. 6

Answers

Answer:

The answer is five.

Step-by-step explanation:

A person has only 5 options., as stated in the question.

0
1
2
3
4

That means that one person can vote 5 different ways.

Which reason best explains why m^10n^3 is NOT equal to (mn)^13?

Answers

Answer:This law of exponents can only be used when the bases are equal.

Step-by-step. explanation:

Olivia borrowed $5,000 for 5 years at 5% simple interest.

Answers

Answer:

The answer is $1250

Step-by-step explanation:

Solution,

Principle (P) = $ 5,000

Time (T) = 5 years

Rate(R) = 5 %

Simple Interest (I) = ?

Now,

We have,

Simple Interest (I) = P×T×R/ 100

= 5,000×5×5/100

= $1250

Solve by completing the square

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \sqrt{49} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \pm7[/tex]

Hence, there are two solutions ~

1. when x + 4 = 7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

2. when x + 4 = -7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = - 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 11[/tex]

I hope you understood ~

Find the multiplicative inverse of 6/8

Answers

It's 8/6

Because 6/8 × 8/6 = 1

Answer:

it's 8/6

I hope it's help u

an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute property to write an equivalent expression for the total number of pens. them, simplify the expression​

Answers

Answer:

390 pens in total

Step-by-step explanation:

Each box has 6 black and 4 black

so the total amount of pens per box should be 10 because 6+4=10

Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.

6+4 is 10

and 10 * 39 is 390

therefore the answer is 390 pens in total

Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.

Answers

Answer:

B. You use the output of the first function as the input of the second

function

Step-by-step explanation:

example

if f is x+2 and g is x+3 then

when you compose two functions

you put g in f where the x is

(x+3) + 2

so

f(g(x)) = (x+3) + 2 =

x + 5

formula is

(f ∘ g)(x) = f(g(x))

https://brainly.com/question/12573413

onlinemathlearingcomcompositefunctionshtml

Please help me. I really need help. and I'm not smart

A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.

What does the fourth bin represent?

Select from the drop-down menu to correctly complete the statement.
Four watermelons weigh:



at least 12 pounds but less than 16 pounds


at least 12 pounds but no more than 16 pounds

more than 12 pounds but less than 16 pounds
.
more than 12 pounds but no more than 16 pounds
.

Answers

In the given histogram, the correct option regarding the representation of the fourth bin is:

at least 12 pounds but less than 16 pounds.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed. The lower bound is inclusive, while the upper bound is exclusive.

Hence, considering the inclusiveness and exclusiveness of the bounds, the correct option regarding the fourth bin, given by [12, 16) is:

at least 12 pounds but less than 16 pounds.

More can be learned about histograms at https://brainly.com/question/25836450

Answer:

The answer is "at least 12 pounds but less than 16 pounds"

Explanation:

I took the quiz! Hope this helps! :)

Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b

Answers

Answer:

You're answer is D.18b

Hey there!

The product of a number and 18 means you multiply that number times 18; the result is called the product.

When we multiply a number times a variable, we always write the number before the variable.

For example, we multiply 4 times d, and the result is 4d.

Let's check the options and see if we can spot something like "5a"

The first option:  we multiply 18 times the difference of b and 18.

The second option: we add 18 and b

The third option: we divide 18 by b

The fourth option: we multiply 18 times b (That's the right option! We did it  :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{18b}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

find the average rate of change of over the interval (0,9 ]

Answers

Answer:

3.  10/9

4.  34

Step-by-step explanation:

The average rate of change of f(x) over the interval a ≤ x ≤ b is:

[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]

Problem 3

Given interval: 0 ≤ x ≤ 9

From inspection of the graph:

f(0) = -7f(9) = 3

[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]

Problem 4

Given:

function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6

⇒ f(1) = (1)³ - 9(1) = -8

⇒ f(6) = (6)³ - 9(6) = 162

[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]

Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.

Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°

Answers

Answer:

Statement 1 is correct.

Step-by-step explanation:

Inverse sign is only defined from -90° to 90° therefore statement 2 is false.

Question Help
8.6.PS-13
A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answers

Answer:

Step-by-step explanation:

Area = 63.9 inches²

What is the area of this shape?

Answers

Answer:

Area is 80[tex]m^{2}[/tex]

Step-by-step explanation:

Since the shape is a triangle, then the formula for area is: a = bh/2

Given values:

b = 20m

h = 8m

Substitute the given values into the equation

a = 20 x 8 / 2

a = 160/2

a = 80 meters squared

hope this helps and is right!! p.s. i really need brainliest :)

A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.

please show the work thank you

Answers

Answer:

Solve the following equation

Step-by-step explanation:

You need to make an equation of this

Let x be the number of computers made

1600 × x = (950 × x) + 211250

When both sides are equal, that is the break even

how many quarters are in 20 dollars?

Answers

4 quarters = 1 dollar
4 x 20 = 80

There is 80 quarters in 20 dollars

Hey there!

4 quarters = 1 dollar

To find how many quarters are in 20 dollars, we multiply 4 by 20

⇒ 4 × 20

⇒ 80

Therefore, 80 quarters are in 20 dollars

Solve for b.
-3b + 2.5 = 4

Answers

Answer: b = -0.5

Step-by-step explanation:

Given

-3b + 2.5 = 4

Subtract 2.5 on both sides

-3b + 2.5 - 2.5 = 4 - 2.5

-3b = 1.5

Divide -3 on both sides

-3b / -3 = 1.5 / -3

[tex]\boxed{b=-0.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\Longrightarrow: \boxed{\sf{b=-0.5}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the term of b from one side of the equation.

-3b+2.5=4

First, you have to subtract by 2.5 from both sides.

→ -3b+2.5-2.5=4-2.5

Solve.

Add or subtract the numbers from left to right.

→ -3b=1.5

Then, you divide by -3 from both sides.

→ -3b/-3=1.5/-3

Solve.

Divide the numbers from left to right.

→ 1.5/-3=-0.5

b=-0.5

Therefore, the correct answer is b=-0.5.

I hope this helps! Let me know if you have any questions.

Quite urgent lol but should probably be quick I guess :(

Answers

Answer:

(a) [tex]y=x^2-2x-8[/tex]

(b) [tex]y= -\dfrac12x^2+4x-6[/tex]

Step-by-step explanation:

(a)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = -2[/tex] and [tex]x =4[/tex].

Therefore [tex]y = a(x + 2)(x - 4)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -8)

Expanding the equation:

[tex]y = a(x + 2)(x - 4)[/tex]

[tex]\implies y = a(x^2-4x+2x-8)[/tex]

[tex]\implies y= ax^2-2ax-8a[/tex]

Therefore, -8a is the y-intercept

Comparing y-intercepts:  -8 = -8a  ⇒  a = 1

Substituting a = 1, the final equation in standard form is:

[tex]y=x^2-2x-8[/tex]

--------------------------------------------------------------------------------------------------

(b)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = 2[/tex] and [tex]x =6[/tex].

Therefore [tex]y = a(x -2)(x - 6)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -6)

Expanding the equation:

[tex]y = a(x -2)(x - 6)[/tex]

[tex]\implies y = a(x^2-6x-2x+12)[/tex]

[tex]\implies y= ax^2-8ax+12a[/tex]

Therefore, 12a is the y-intercept

Comparing y-intercepts:

[tex]-6 = 12a \implies a = -\dfrac12[/tex]

Substituting found value of a into the equation:

[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]

[tex]\implies y= -\dfrac12x^2+4x-6[/tex]

y = a(x-h)²+k where (h,k) denotes the vertex

Q.1)

vertex: (1, -9) where h=1, k = -9

coordinates: (0, -8) where x = 0, y = -8

find for a:

y = a(x-h)²+k

-8 = a(0-1)²-9

-8 = a -9

a = 1

============

equation: y = (x-1)²-9

Q.2)

vertex: (4, 2) where h=4, k = 2

coordinates: (2, 0) where x = 2, y = 0

find for a:

y = a(x-h)²+k

0 = a(2-4)²+2

-2 = 4(a)

a = -1/2

============

equation: y = -1/2(x-4)²+2

Shares of company A are sold at $10 per share. Shares of company B are sold at $50 per share. According to a market analyst, 1 share of each company can either gain $1, with probability 0.5, or lose $1, with probability 0.5, independently of the other company. Which of the following portfolios has the lowest risk? a. 100 Shares of A
b. 50 shares of A + 10 shares of B
c. 40 shares of A + 12 shares of B

Answers

Answer:

b.

Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.

What is the sum of the following equation?

three tenths plus thirty nine hundredths equals blank

Answers

Answer:

Step-by-step explanation:

Writing out the word question in numbers: three tenths plus thirty nine hundredths equals blank -

3/10 + 39/100 = ?

= 30/100 + 39/100

= 69/100

or 0.69 or sixty nine hundredths.

First convert words to no

three tenths=3/10thirty nine hundreds=39/100

find sum

3/10+39/10030+39/10069/1000.69

what is 6(8x+1) equil to ?

Answers

Hello!

Let's use the Distributive Property & simplify:

6(8x+1)

distribute 6 by multiplying it times 8x and 1:

48x+6

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

[tex]\displaystyle 6 + 48x[/tex]

Step-by-step explanation:

[tex]\displaystyle 6[8x + 1] \hookrightarrow \boxed{48x + 6}[/tex]

I am joyous to assist you at any time.

5b-4a+6, when a= 7 and b= 6

Answers

Answer:

Use Substitution Method -

5(6)-4(7)+6=30-28+6

=2+6

=8

Joan has made four mistakes in her diagram. write down any three of them.

Answers

Answer:

dude

Step-by-step explanation:

how are you supposed to know but you are smart hopefully you will answer

Joshua deposits $310 every month into an account earning an annual interest rate of 7.8% compounded monthly. How much would he have in the account after 6 years, to the nearest dollar? Use the following formula to determine your answer.

Answers

The answer should be $228.461

carlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?

Answers

Answer:

mean

Step-by-step explanation:

The mean will decrease, in an option of mean, mode, median and range:)

A jewelry case has a base area of 37.5 sq cm and a height of 1.5 cm ..what is the volume of 6 of these cases

Answers

Answer:

As Per Provided Information

A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .

Total Number of these cases are 6 .

We have been asked to determine the volume of these cases .

[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]

Let's substitute the given value and we obtain

[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]

Therefore,

Volume of 6 jewellery cases are 337.5 cm³

Step-by-step explanation:

Given:-

Base area :- 37.5 sq. cmHeight:- 1.5 cm

To Find:-

Volume of such 6 jwellery case

Solution:-

Volume of 1 box :- base area × height

37.5 cm² × 1.5 cm

56.25 cm³

So , volume of 6 such cases :- 56.25 × 6

= 337.5 cm³

Other Questions
trigonometric formulas Item 2What is the correct definition of monarchy?rule by religious authoritiesrule by a king or queenrule by the peoplerule by a small group 20,10,5, ...Find the 9th term. PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST Which is a way to borrow money from a bank financial institution to pay for a car? Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she expects it will cost her (between transportation, admission, souvenirs, and so on) to see each one. The prices are listed in either US dollars ($) or euros (). Kari has a budget of $585 set aside for sightseeing. Item Cost Currency Tour of the Vatican 68. 77 Tour of Rome 95. 41 Tour of Naples 71. 06 $ Tour of Venice 113. 38 $ Tour of Milan 49. 69 She would also like to tour Genoa as well, which would cost her 60. 85. If the conversion rate of US dollars to euros at the time of Karis visit is 1:0. 6859, how will this affect her budget? Round all dollar values to the nearest cent. A. Kari can see Genoa and have $60. 33 left in her budget. B. Kari can see Genoa and have $41. 38 left in her budget. C. Kari has almost exactly enough left in her budget to see Genoa. D. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget. How do you graph y=-1/3x Find the values of x for which the denominator is equal to zero for y=3x+5/x-6. x = 5 x = 6 x = 6 none The sphere below has a radius of 25 cm.O25 cmWork out the volume of the sphere.Give your answer correct to 1 decimal place.Volume of sphere= tr3cm3 Alexia biked 3.2 miles in 30 minutes. If each block is 0.4 miles, how many blocks did she bike? How did Nkrumahs education outside of Ghana affect him? i will mark you brainlist A que distancia se encuentran dos masas de 60 kg y 80 kg, si la fuerza deatraccin entre ellas es de 3x10-31N. In the image below, why must triangle A'B'C be similar to ABC?(Don't mind the chosen answer) What are the components of family life education ? What happens to water when it freezes?a) it expands.b) it forms vaporc) its density increases.d) its composition changes Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value and x represents time in years Simon's dog jumped intoa stream at a 68 angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dogpart a: how long is the bridge, in feet?part b: how many feet did the dog swim? Read the sentence from paragraph 5 of Viewpoint #1 find the area of circle o if DCBO is a rectangle and DB measure 10 units according to Martin Luther King Jr., 100 years after the Emancipation Proclamation, The Negro is still not free. do you agree ? explain why or why not.