Solve 7x + 6 < 3(x - 2).

Answers

Answer 1

Answer:

x< -3

Step-by-step explanation:

[tex]7x+6<3\left(x-2\right)\\\\\mathrm{Expand\:}3\left(x-2\right):\quad 3x-6\\\\7x+6<3x-6\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\7x+6-6<3x-6-6\\\\Simplify\\\\7x<3x-12\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\\\7x-3x<3x-12-3x\\\\\mathrm{Simplify}\\\\4x<-12\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}<\frac{-12}{4}\\\\x<-3[/tex]


Related Questions

help please brainliest​

Answers

Answer:

34. E 2 1/2

36. C 6cm

Step-by-step explanation:

34. ABC's triangle has 4, as it is equivalent to ADE's triangle's 10. I added 4 and 6 because the whole triangle shown is ADE. Then I did 10/4.

36. The reasoning is that on the other side, there is 9cm and 6cm which is equivalent to AB and 4cm

It goes like: 9/6 = AB/4

9 times 4 equals 36, and 36 divided by 6 is 6. Therefore the answer is 6cm.

Answer:

which one should we solve and you are from my school now a secondary school it is Michael in jss3 daisy meet me tomorrow but which questions should I solve

.0091 the neatest thousandths

Answers

Answer:

the answer is .009 rounded to the nearest thousandths

Find CD and EF. Then determine if CD is congruent to EF.

Answers

Answer:

A

Step-by-step explanation:

a. CD = [tex]\sqrt{13}[/tex], EF = [tex]\sqrt{13}[/tex], CD≅EF

How to find CD & EF ?

If [tex](x_{1}, y_{1})[/tex] & [tex](x_{2}, y_{2})[/tex] are co-ordinates of two points then the distance between this two points = [tex]\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2}- y_{1} )^{2} }[/tex]

Here, Point C = (0, 4) & Point D = (3, 2)

Then CD = [tex]\sqrt{(3-0)^{2} +(2-4)^{2} }[/tex] = [tex]\sqrt{3^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

And Point E = (-2, 1) & Point F = (-4, -2)

Then EF = [tex]\sqrt{((-4)-(-2))^{2}+ ((-2)-1)^{2} }[/tex]= [tex]\sqrt{(-2)^{2} +(-3)^{2} }[/tex]= [tex]\sqrt{4+9}[/tex]= [tex]\sqrt{13}[/tex]

Is CD & EF congruent ?

We know that, if two line segment have same length, they are congruent.

Here CD = EF = [tex]\sqrt{13}[/tex]

Since CD & EF have same length, so CD is congruent to EF.

Learn more about congruence of two lines here :

https://brainly.com/question/15580358

#SPJ2

The points (-7,-8) and (8,-8) fall on a particular line. What is its equation in slope-intercept form?​

Answers

Y=-8 because there is no slope

Did Leonardo de Vinci invent the scissors ?

Answers

Answer: Many people mistakenly give credit to Leonardo da Vinci for inventing scissors. Although da Vinci was brilliant, scissors were around for a long time before him. Some historians believe scissors were invented in the Middle East as long as 3,000-4,000 years ago.

Step-by-step explanation: Leonardo da Vinci

Scissors of the kind used today are believed to have been first made in 1 A.D in Rome. Some historians believe that Leonardo da Vinci is the inventor, for he had used it for cutting canvas. Although this view has not been widely accepted, Da Vinci helped to spread the popularity of scissors.

Hope this helps^^

Answer:

Apparently he isnt....

Simplify: 2 - 6x + 8x3 + 1 = 23

Answers

the answer x=8.5

if ur trying to solve for x

8.8 + 7.8x = -7.9 - 5.5x
Round to the nearest tenth

Answers

Answer:

The value of x in this equation is -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Subtract 8.8 on both sides of the equation.

7.8x = -16.7 - 5.5x

Add 5.5x on both sides of the equation.

13.3x = -16.7

Divide 13.3 on both sides of the equation. Don't forget to round to the nearest tenth.

x = -1.3

Answer:

x = -1.3

Step-by-step explanation:

8.8 + 7.8x = -7.9 - 5.5x

Add 5.5x to each side

8.8 + 7.8x+5.5x = -7.9 - 5.5x+ 5.5x

8.8+13.3x = -7.9

Subtract 8.8 from each side

8.8 + 13.3x - 8.8 = -7.9 - 8.8

13.3x = -16.7

Divide by 13.3

x = -16.7/13.3

x =-1.255639098

Rounding to the nearest tenth

x = -1.3

Translate the verbal phrase to algebra:

5 more than a number

Answers

Answer:

x+5

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{x+5}[/tex]

Step-by-step explanation:

Let the number be x.

5 more than x.

The verbal phrase to algebra:

x + 5

Aug 14, 8:23:51 PM
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
6.1 cm
9.5 cm
6.2 cm
8.1 cm

Answers

Hey there! I'm happy to help!

First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.

We add up the values that make up the top side so we can find find its length.

6.1+8.1+9.5=23.7

The bottom side is 8.1

We add the top and bottom sides.

23.7+8.1=31.8

We divide by 2.

31.8/2=15.9

We multiply by the height, which we can see is 6.2

15.9×6.2=98.58

Now, we find the area of the rectangle that isn't shaded.

6.2×8.1=50.22

We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.

98.58-50.22=48.36

Therefore, the shaded regions have a total area of 48.36 cm².

Have a wonderful day! :D

In a direct or linear relationship, as one variable increases, what happens to the other variable?
It increases

Answers

Answer:

In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.

Step-by-step explanation:

i hope this helps.

Solve 5n + 6 = -3n - 10

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{n = -2}[/tex]

5n + 6 = -3n - 10

Solve for n:

Add 3n to both sides:

5n + 3n + 6 = -3n + 3n - 10

8n + 6 = -10

Subtract 6 from both sides:

8n + 6 - 6 = -10 - 6

8n = -16

Divide both sides by 8:

8n/8 = -16/8

n = -2.

Answer:

n= -2

Step-by-step explanation:

What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.

Answers

Answer:

f(-5)=17

Step-by-step explanation:

Took the quiz.

The remainder theorem is an easy way of calculating the remainder from polynomial division.

The conclusion of remainder theorem, here is that: [tex]f(-5) = 17[/tex]

We have:

[tex]\frac{f(x)}{x + 5}[/tex] and a remainder of 17

The general rule of the remainder theorem is that:

For [tex]\frac{f(x)}{x + a}[/tex] and a remainder of b

It means:

[tex]f(-a) = b[/tex]

By comparing

[tex]\frac{f(x)}{x + a}[/tex] and [tex]\frac{f(x)}{x + 5}[/tex]

It means:

[tex]a = 5[/tex] and [tex]b = 17[/tex]

So:

[tex]f(-a) = b[/tex] becomes

[tex]f(-5) = 17[/tex]

Hence, the conclusion is that:

[tex]f(-5) = 17[/tex]

Read more about remainder theorems at:

https://brainly.com/question/13416073

Adam borrowed $17 from his brother on Monday, and then an additional $5 on Tuesday. How much money will Adam have to pay his brother in order to be free of debt?

Answers

Answer:

$23

Step-by-step explanation:

Answer:

$23 is how much he will owe

Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She scored 225 points from right handed shots write an equation to describe the situation and find the value of l for left handed shots

Answers

Answer:

[tex]\bold{268=225+}l[/tex]

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = [tex]l[/tex]

To find:

To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]

So, the equation is:

[tex]\bold{268=225+}l[/tex]

Now, let us find the value of [tex]l[/tex] from the above equation:

[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]

Number of points scored from left handed shots = 43

Please help me
Find x

Answers

Your question has been heard loud and clear.

This is a right triangle , which means it has a hypotenuse ( longest side of the triangle)

X is the length of the hypotenuse. We need to find x.

By Pythagoras theorem ,

Side^2+side^2= Hypotenuse^2

2.5^2+3^2= x^2

= 6.25+9=x^2

15.25=x^2

So , x = root of 15.25 =  3.9

Therefore , x= 3.9

Thank you

Answer:

[tex]\huge \boxed{\mathrm{3.91 \ m}}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

The hypotenuse length of the right triangle is not given.

We can use Pythagorean theorem to solve for the hypotenuse.

[tex]c=\sqrt{a^2 +b^2 }[/tex]

c is the hypotenuse length of the right triangle.

a and b are the legs of the right triangle.

[tex]x=\sqrt{3^2 +2.5^2 }[/tex]

Evaluate and solve for x.

[tex]x=\sqrt{9+6.25}[/tex]

[tex]x=\sqrt{15.25}[/tex]

[tex]x= 3.905125...[/tex]

two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now​

Answers

Let present age of women be x.

Then,Present age of her daughter be y.

According to the question,

Two years ago,

Woman age = x - 2

Her daughter age = y - 2

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

After Three years ,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii (

Now,

★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Putting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

Linda scored a total of 265 points in mathematics, physics and English. She scored 7 more marks in mathematics than in English and she scored 5 more marks in physics than in mathematics. Find her scores in all three subjects.

Answers

Answer: E 265   M 272  P 277

Step-by-step explanation:

English 265

math 265+7=272

Physics 272+5=277

Anyone? Know how to do this?

Answers

Answer:

x = 4length = 19 ftwidth = 11 ft

Step-by-step explanation:

The area is given by the product of length and width.

  A = LW

  209 = (4x +3)(4x -5)

  209 = 16x^2 -8x -15

  224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

  14 = x^2 -(1/2)x

  14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

  (x -0.25)^2 = 14.0625

  x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

  x = 4

Then the dimensions are ...

  length = 4x +3 = 4(4) +3 = 19 . . . feet

  width = 4x -5 = 16 -5 = 11 . . . feet

What is the product of the coordinates of the midpoint of a line segment with endpoints at $(2,3)$ and $(-6,5)$?

Answers

Answer

4,2.

Explains to

Tibet Mein kheti Karne Ka Tarika ​

Answers

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

Identify as growth or decay, the initial value and the growth and decay factor, then find f(3)

Answers

growth

Step-by-step explanation:

3 (.25)= .75

multiply 3 into the .25 and it's a positive number so it's increasing

I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *

Answers

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

What is the value of x in the equation 4x + 8y =40, when y=0.8

Answers

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4)  =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

Pls help with this immediately!!!! Under 15 minutes!!!! Offering more than 5 points !!!

Answers

1A. 7 feet
1C. 7 Feet

Please answer I will give you brainliest!!! Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5

Answers

Answer:

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

Step-by-step explanation:

ratio of the angles 6:5

when you draw diagonal inside a rhombus it creates four right angled triangle

one angle=90

6x+5x=90 ( the other angles is complimentary)

11x=90

x=90/11

one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)

other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)

A wise man once said, "500 reduced by twice my age is 340." What is his age?

Answers

Answer:

500 - 2a = 340

500 - 2a - 500 = 340 - 500

-2a = -160

-2a/-2 = -160/-2

a = 80

Step-by-step explanation:

There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?

Answers

Answer:

dihdvsjhvbsuhdsvubhjvdhbdsvhbdsvhbkvdshbds

Step-by-step explanation:

DJ CUCRACH AAE SLAHTI8AOS

How to learn the ratio of standard angles of right angled triangle [ like sin 90=?, cos 30=?]....??​

Answers

Answer:

just learn the sin value of all the degrees

the cos values are opposite to the sin values example sin 30 degree = cos 60 degrees. and sin 45 and cos 45 remains same . use the same logic for tan and cot and also for sec and cosec . tan values are sin degrees / cos degrees

Sam counted 12 liters of hand sanitizer in the storage cabinet I lefills tihe
dispensers in seven of the examination rooms as follows: 350 ml, 600
ml, 475 ml, 580 ml, 650 ml, 720 ml, and 500ml
After filing the dispensers how many liters of sanitizer remain in the storage cabinet?

Answers

Answer:

8.125 Litres

Step-by-step explanation:

Given:

Initial volume of hand sanitizer in the storage = 12 litres

Volume of dispensers:

350 ml

600 ml

475 ml

580 ml

650 ml

720 ml and

500 ml

To find:

Volume of sanitizer left after filling all the dispensers = ?

Solution:

The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.

First of all, let us convert them into the same units i.e. litres.

We know that 1 Litre = 1000 ml

So,

350 ml = 0.350 Litres

600 ml = 0.600 Litres

475 ml = 0.475 Litres

580 ml = 0.580 Litres

650 ml = 0.650 Litres

720 ml = 0.720 Litres

500 ml = 0.500 Litres

Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres

Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.

Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres

2sec^20 - sec^40 - 2cosec^20 + cosec^40 = cot^40 - tan^40

'0' is theta .

Pls help me out with this

Answers

Answer:

From the RHS:

Cot^4θ-tan^4θ

=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)

=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)

=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1

=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ

=LHS

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Pythagorean Identities:

sec²A = tan²A + 1

csc²A = 1 + cot²A

Use group factoring:  a(x + y) + b(x + y) = (a + b)(x + y)

Proof LHS → RHS

Given:                    2sec²Ф      - sec⁴Ф             -     2csc²Ф       + csc⁴Ф

Pythagorean:        2(tan²Ф + 1) - (tan²Ф + 1)²    +   -2(1 + cot²Ф) + (1 + cot²Ф)²

Group Factoring:   (tan²Ф + 1)(2 - tan²Ф - 1)     +    (1 + cot²Ф)(-2 + 1 + cot²Ф)

Simplified:               (tan²Ф + 1)(1 - tan²Ф)           +    (1 + cot²Ф)(cot²Ф - 1)

Multiplied:               tan²Ф - tan⁴Ф + 1 - tan²Ф   +    cot²Ф - 1 + cot⁴Ф - cot²Ф

Simplified:                                         1  - tan⁴Ф   +    cot⁴Ф - 1

                                                    =      - tan⁴Ф  +  cot⁴Ф  

                                                    =        cot⁴Ф  - tan⁴Ф    

cot⁴Ф  - tan⁴Ф = cot⁴Ф  - tan⁴Ф    [tex]\checkmark[/tex]

     

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