( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với

Answers

Answer 1

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]


Related Questions

can someone tell me the answers to this?

Answers

r= 56°

P=40°

c=14°

m=56°

Hope it helps you....

can someone answer my question.........​

Answers

Answer:

Rhombus

Energy used

Step-by-step explanation:

A rhombus is formed fromm the intersection, since the stick have equal length, Hence, all the sides will be equal and the opposite side will be parallel.

If a person exercises more and more, more energy is utilized, the dependemt variable here is the amount of energy utilized because it is the measured variable whose value is based on the amount or level of exercise the body is subjected to. The amount of exercise is the dependent variable as it gives influences the amount of energy expended

25 points ! :)
Can anyone solve this ? with explanation?
[tex]A brick of weight 20N and dimensions 20 cm x1Ocm x Scm is placed once on its largest surface area and then on its smallest surface area on the ground. Find out the ratio of the pressure exerted by the brick.}}[/tex]

Answers

Answer:

1 : 4

Step-by-step explanation:

[tex]Pressure = \frac{F}{A}[/tex]

[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]

     [tex]=\frac{F}{20 \times 10 \times 20}[/tex]

[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]  

      [tex]=\frac{F}{20 \times 10 \times 5}[/tex]

[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex]          [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]        

Therefore ,

     [tex]P_1 : P_2 = 1 : 4[/tex]

Given :

The dimensions of the brick are :

20 cm

10 cm

5 cm

Solution :

[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]

The largest surface area would be : -

[tex]➢ \: \: 20 \times 10[/tex]

[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]

(product of two greater sides)

pressure applied by greatest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.02} [/tex]

[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]

[tex]➢ \: \: 1000 \: \: pascals[/tex]

The smallest surface area would be : -

[tex]➢ \: \: 10 \times 5[/tex]

[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]

(product of two Smaller sides)

pressure applied by smallest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.005} [/tex]

[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]

[tex]➢ \: \: 4000 \: \: pascals[/tex]

Let's find the ratio :

[tex]➢ \: \: \dfrac{1000}{4000} [/tex]

[tex]➢ \: \: \dfrac{1}{4} [/tex]

[tex]➢ \: \: 1 : 4[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

What is true about the sides of KNM?

KN = NM
KN + NM = KM
KM = 2(NM)
KN = One-halfKM

Answers

Answer:KN = NM

Step-by-step explanation:

you desperate anyways that’s why you here

Answer:

its the first one

Step-by-step explanation:

i did it

please mark me brainliest

Find the equation of a line with the point (5, -3) and slope m = 2. (y=mx+b)

Answers

Answer:

y = 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 2 , then

y = 2x + b ← is the partial equation

To find b substitute (5, - 3) into the partial equation

- 3 = 10 + b ⇒ b = - 3 - 10 = - 13

y = 2x - 13 ← equation of line

14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?

Answers

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

Solve this pleaseeeee

Answers

Answer:

-4 < n ≤ 5

Step-by-step explanation:

________________

Use the law of cosines to find the length of a

Answers

Answer:

Step-by-step explanation:

You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:

[tex]\frac{sin55}{175}=\frac{sin42}{a}[/tex] and solving for a:

[tex]a=\frac{175sin42}{sin55}[/tex] so

a = 143.0

)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?

Answers

Answer:

7 5/6

Step-by-step explanation:

16 2/3 - 8 5/6

16 4/6- 8 5/6

7 5/6

which statement is true regarding the functions on the graph?

Answers

Answer:

where's the graph?

Step-by-step explanation:

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

The picture is above I’ll mark as brainliest.

Answers

Answer:

area=l×b

24=6×b

or,24=6b

or, 24/6=b

or,4=b

therefore,b=4..

width =4

Answer:

4 in

Step-by-step explanation:

Let x be the width of the triangle

we know that the area of the rectangle above is the product of the length and the width

[tex]6 . x = 24\\[/tex]

divide both sides by 6

[tex]6x/6 = 24/6 \\\\x = 4[/tex]

the width is 4 inches

how long is each side of a square with a perimeter of 12.32 centimeters

Answers

Step-by-step explanation:

Let each side of square be x

So, x+x+x+x = 12.32

4x = 12.32

x = 12.32/4

x = 3.02 cm

Help i dont know what this is

Answers

Answer:

Use a permitation :D

P(4,2)= 4x3=12

D, 1/12

AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $200 per month on cell phone expenses, how many additional lines can he afford? Which inequality represent the given situation. please help for my final​

Answers

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let [tex]x[/tex] be the number of additional line.

Cost of one additional line = $15

Cost of [tex]x[/tex] additional line = [tex]\$15x[/tex]

Total cost = Fixed cost + Addition cost

                = [tex]125+15x[/tex]

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

[tex]125+15x\leq 200[/tex]

Therefore, the correct option is C.

whats the answer for
x/9+7>10

Answers

Answer:

x > 27

Step-by-step explanation:

x/9 + 7 > 10

Subtract 7 from goth sides.

x/9 > 3

Multiply both sides by 9.

x > 27

The answer is x>27 I

13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.

That is ,

    [tex]m_1 \times m_ 2 = - 1[/tex]       [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]

   [tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]

Find the equation the line perpendicular to the given line :

[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]

[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]

Solve for x. (have to add extra letters so the question works)
PLEASE ADD STEPS AND EXPLAIN IT IN ANY WAY POSSIBLE SO I CAN LEARN

Answers

Answer:

x=11°

Step-by-step explanation:

-Sum of angles of a triangle should alway be 180 degrees

35+110+2+3x=180

-Add all known values

147+3x=180

-Subtract 147 from both sides

3x=33

-Isolate x by divind both sides by 3

x=11°

Select the elements in H.
Let H = {cube numbers}

A-8
B-49
C-3
D-125
E-1
F-100
G-25
H-12

Answers

Answer:

H={8,125,1}

Step by step explanation:

8 is the cube of 2125 is the cube of 51 is the cube of 1

If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24

Answers

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

Simplify Negative two and one-third minus negative ten and one-sixth

Answers

Answer:

7 5/6

Step-by-step explanation:

-2 1/3 - (-10 1/6)

-7/3 + 61/6 (subtract neg = add positive)

-14/6 + 61/6 = 47/6 = 7 5/6

Answer:

[tex]-2\frac{1}{3} - (-10\frac{1}{6} )[/tex]

Minus minus is plus so:

[tex]-2\frac{1}{3} + 10\frac{1}{6} [/tex]

Make improper:

[tex]-\frac{7}{3} + \frac{61}{6} [/tex]

Common denominator:

[tex]-\frac{14}{6} + \frac{61}{6} [/tex]

Equals=

[tex]\frac{47}{6} [/tex]

Which property of exponents must be used first to solve this expression? (iy2)1/3

Answers

Step-by-step explanation:

"must be used first" is a very hard phrasing. multiplication is commutative.

and I am not sure that the problem is stated correctly.

I read here

(i×y²) to the power of 1/3.

i is the imaginary constant sqrt(-1) ?

exponents brought themselves to the power of something else multiply.

e.g.

[tex]({2}^{3})^{4} = {2}^{12} [/tex]

exponents in multimedia expressions of the same base simply add up.

e.g.

[tex] {2}^{3} \times {2}^{4} = {2}^{7} [/tex]

a negative exponent means that the expression with the same positive exponent is just at the bottom of a division.

e.g.

[tex] {2}^{ - 3} = 1 \div {2}^{3} [/tex]

and a fraction as exponent specifies a root to be taken.

e.g

[tex] {2}^{1 \div 3} = \sqrt[3]{2} [/tex]

so, I would do all the exponent multiplications to simplify the expression.

[tex] \sqrt[3]{i \times {y}^{2} } = ({i \times {y}^{2} })^{1 \div 3} = [/tex]

[tex] = ( { - 1}^{1 \div 2} \times {y}^{2} ) ^{1 \div 3} [/tex]

1/2 × 1/3 = 1/6

2 × 1/3 = 2/3

[tex] = { - 1}^{1 \div 6} \times {y}^{2 \div 3} = \sqrt[6]{ - 1} \times \sqrt[3]{ {y}^{2} } [/tex]

so, as we can see, we can move freely from multiplying the fraction exponents to converting them into root expressions and vice versa.

The triangle below is isosceles. Find the length of side x in simplest radical form with

a rational denominator.




I really need help :(

Answers

Answer:

Value of x = 3√2 unit

Step-by-step explanation:

Given:

Hypotenuse of given triangle = 6 unit

Length of equal side = x units

Find:

Value of x

Computation:

Using pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse of given triangle² = Perpendicular² + Base²

6² = x² + x²

36 = 2x²

x² = 36/2

x² = 18

x = √18

x = 3√2

Value of x = 3√2 unit

plz help me I'm literally about to cry ​

Answers

Answer:

[tex](2,4)[/tex]

Step-by-step explanation:

Hope it is helpful...

What is the distance between the points (5,0) and (2,1)?

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= [tex]\sqrt{10}[/tex]

Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet

Answers

Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

A sick person takes 10 ml of medicine three times a day how much medicine does the person take in 15 days

Answers

Answer:

450 mL

Step-by-step explanation:

Given that :

Amount in mL of medicine taken at a time = 10mL

Number of times taken per day = 3 times

Amount in mL taken per day = 3 * 10mL = 30mL

Total amount in mL of medicine taken in 15 days :

Amount in mL taken per day * 15 days

= 30mL * 15

= 450mL


Help mark complete the pairs of expressions

Answers

Answer : B and C

if u do the equation on the calculator for the equation C,u will get the B

I need help with my math! Can you please help me!!

Answers

Answer:

[tex]y=-|x-1|+3[/tex]

Step-by-step explanation:

The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;

[tex]y=(+-)n|x-k|+h[/tex]

The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.

[tex]y=-|x|[/tex]

The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).

[tex]y=-|x-1|[/tex]

The function is shifted (3) units up, thus the position of (h) is occupied by a (3).

[tex]y=-|x-1|+3[/tex]

Therefore the following answer choice is correct, as it fits all of the requirements;

[tex]y=-|x-1|+3[/tex]

Please help me on this question

Answers

Answer:

Step-by-step explanation:

A=180/360×π(4^2)

A=1/2×16π

A=8π

the correct answer is 8π. i hoped this helped!

which graph shows the solution to this system of linear inequalities?​

Answers

Answer:

c or b

tep-by-step explanation:

Other Questions
i really dont like gossingping about my colleagues ( grain )it goes______me to gossip about my colleagues Which of the following is NOT an example of how your environment could have an influence on your food choice or eating habits? A. Attending a local football game that serves cheeseburgers and fries B. Going out for pizza with your friends with no other menu options C. Your social media feed is showing a delicious recipe idea D. Your school lunch program offers tater tots or pasta, and you do not like either choice Read the passage and then answer the question:If you don't own the property you live on, why should yoube the one who has to worry about a flooded bedroom ortermites in the rafters? Check out Bang! Renter's Insuranceon the web for details.Which phrase best describes the intended audience of the passage?A. Young adultsB. Small childrenC. Rich peopleD. Pet owners What is the exponential regression equation that fits these data? x 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+ 158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6 A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER) worth 11 points and actually help me instead of taking the points plz How do I find Y Im still confused on how to solve Y and if you have any tips please lmk asap. Thank you You are planning to save for retirement over the next 25 years. To do this, you will invest $1,000 a month in a stock account and $700 a month in a bond account. The return of the stock account is expected to be 9 percent, and the bond account will pay 6 percent. When you retire, you will combine your money into an account with a return of 7 percent. How much can you withdraw each month from your account assuming a 20-year withdrawal period What does visual lead time refer to? what is consumer surplus 14. Which is the first step in solving: X - 1/3 = 1/3 ?* 2. A carpenter wants to cut a wood board that is feet longd on5into pieces that are feet long. How many whole piecescan be cut from the board? How much wood is left over16 On January 1, 2009, Erin owed $17,605 to her friend Katie, who was kind enough not to charge Erin any interest. Each month during 2009, Erin paid Katie some of the money she owed. If Erin still owed Katie $6,241 on January 1, 2010, what was the average amount of Erin's monthly payments can someone please help me Liz earns a salary of $2,100 per month, plus a commission of 7% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.PLS PLS HELP :) How many inherited traits are considered in a dihybrid cross? a.)2b. )1 c.)3d.)4 The perimeter of a rectangle 6 5/7 ft and 2 5/6 ft The product of b and 5 is greater than or equal to 23. tapes that usually cost $8 each are on sale for 30% off what is the price for a tape on sale? The government in Chile recently informed Clint Travis' company that his retail grocery chain in Chile would have to be gradually turned over to the people of Chile by the year 2050. Additionally, starting next year fifty percent of the board of directors of the Chilean operation of the company must be Chileans. Which of the following political risk actions is Mr. Travis' company facing in Chile?A. ConfiscationB. ExpropriationC. DomesticationD. PatronizationE. Socialization