4(x-3) < x+3, Where x ∈ W
Please help me​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]

[tex]\rm\longmapsto 4x-12<x+3[/tex]

[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]

[tex]\rm\longmapsto 3x-12<3[/tex]

[tex]\rm\longmapsto 3x-12+12<3+12[/tex]

[tex]\rm\longmapsto 3x<15[/tex]

[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]

[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]

[tex]\large\underline{\sf{Answer-}}[/tex]

Therefore:

[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]


Related Questions


What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =

Answers

Here’s the answer. See pictures.

find four rational numbers between -5 and 8​

Answers

Answer:

4.3, 4,5, 5.4, and 5.5

Step-by-step explanation:

If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?

Answers

The answer would be -2.89

To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded

13 If CDEF is a rhombus, find m FED.

Answers

Answer:

36

Step-by-step explanation:

8x-20=5x+1

-5       -5

3x=-20+1

+20 +20

3x=21

3  3

x=7

8(7)-20

FED=36

Relatively Simple Math, pls lend a hand. All my points and Brainliest

Answers

My answer is probably A

PLEASE SHOW YOUR WORK!!!





Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y

Answers

Answer:

y = 4

Step-by-step explanation:

3^3 + 14y - (25y - 13) = y + 7y - 9y

Exponents first.

27 + 14y - (25y - 13) = y + 7y - 9y

Distribute the negative sign from the parenthesis.

27 + 14y - 25y + 13 = y + 7y - 9y

Common terms.

27 + 13 = 40

14y - 25y = -11y

y + 7y - 9y = -y

40 - 11y = -y

Add 11 to both sides.

40 = 10y

Divide both sides by 10.

4 = y

Rearrange.

y = 4.

Twice the sum of a certain number and 36 is 90?

Answers

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

Identify the graph that matches the piecewise function

Answers

D, the other graphs don’t match
D the because look at the line

I need help please please please

Answers

Answer:

$28

Step-by-step explanation:

5.5% is $1.54 of what number? (%/100= is/of)

5.5/100 = 1.54/X

X = (1.54 * 100) / 5.5 = $28

Answer:

sus

Step-by-step explanation:

O_O

Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=

Answers

The height of the springboard above the water should be h(0)

Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?

Answers

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.

What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )

m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]

Hello there! :)

To find the slope of the line when we are given 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]

So the slope is -6/5. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

ADD the given the polynomials: (x + 2) + (8x + 4)

CHOOSE THE RIGHT ANSWER:

A] 9x + 6
B] 8x + 6
C] 7x + 6
D] 9x + 8

NEED SOLUTION PLS!

Answers

Answer:

the answer is 9x + 6 ......

Answer:

[tex] = > (x + 2) + (8x + 4)[/tex]

[tex] = > x + 2 + 8x + 4[/tex]

[tex] = > x + 8x + 2 + 4[/tex]

[tex] = > 9x + 6[/tex]

Which expressions have a value of 54 when v= 6? Choose all the correct answers.
A 2(v2 – 9)
B V3 = 18 + 3
C (2v)2 – 90
-
D 13 = 3 – 18
E 2(v2 – 90)
F (v + 2)2 – 10

Answers

I think its E or maybe D if D has a spelling error

Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.

Answers

9514 1404 393

Answer:

two solutions: t = -4, t = 4t = -4 is not reasonable4 seconds

Step-by-step explanation:

A graphing calculator shows the two solutions to be ...

  (t, h) = (-4, 18) and (4, 2)

__

The two heights will be equal when ...

  p(t) = b(t)

  -2t +10 = -t^2 -2t +26

  t^2 -16 = 0 . . . . subtract the right side expression

  (t -4)(t +4) = 0 . . . factor the difference of squares

  t = 4 or -4 . . . . values of t that make the factors zero

At these times, the heights will be ...

  p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}

The solutions are ...

  (t, height) = (-4, 18) and (4, 2).

__

We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.

__

The rocket and ball reach the same height after 4 seconds.

A jogger ran 13.5 miles in 3 hours.

What is the unit rate?

Answers

Answer:

Unit rate = 4.5 mph.

Step-by-step explanation:

Unit rate: 13.5/3

=> Unit rate: 4.5 mph.

Hoped this helped.

x divide3=8 solve equation for x

Answers

Answer:

x = 24

Step-by-step explanation:

x ÷ 3 = 8

you multiply both sides by three

so it cancels out 3 and 8 × 3 = 24

so your answer is 24

hope this helps

help with this please help

Answers

Answer:

10

Step-by-step explanation:

which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.

Answers

Brodie I need help with this too dm me when u got the answer thanks love
Ps. - don’t forget to dm me

1.3.2 checkup - lessons learned

2. What is the slope of the line represented by the table of values below? How do you know?​

Answers

Answer:

y=2/3x-4

Step-by-step explanation:

we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.

Please help me ASAP

Answers

Answer:

A: 9.5s+19.95 is less than or equal to 55

Step-by-step explanation:

She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option

what is 433.54 in terms of pi?

Answers

Answer:

The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".

Step-by-step explanation:

got the information from the internet

A. What is the formula for exponential growth?
B. What does each variable mean?


Please someone help!!! It’s for my final pleaseee!!!

Answers

Answer:

A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.

-2-(3(x+6)-9-(7-x)-3x

Answers

Answer:

- 24 - 5x

Step-by-step explanation:

1) Remove Parentheses

-2 - 3x - 6 - 9 - 7 + x - 3x

2) Collect like terms

( -2 - 6 - 9 - 7) + (-3x+x-3x)

3) Simplify

A coin is flipped 10 times. What is the probability of getting exactly 4 tails?

Answers

Answer: The probability is approximately 20.51%.

Step-by-step explanation:

Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. Yes, because it passes the vertical line test
C. Yes becquse it has two straight lines
D. No because it is not a straight line

Answers

Answer: A. No because it fails the vertical line test

The graph does not represent function because it fails the vertical line test.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The "function" would pass the vertical line test if the two lines meet at an angle larger than 90 degrees and the base line is horizontal.

Here, the vertical line test indicates that it is invalid.

The "vertical line test" primary consideration whenever it appears in an option. In this instance, failing the vertical line test is defined as all x values having two y values.  

Thus, graph does not represent function.

Learn more about Function here:

https://brainly.com/question/12954651

#SPJ2

darlene has a rooftop carrier for her car. She puts 5 items in the carrier
with the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.
3
10
A. Write and evaluate an expression to find the total weight of the
5 items.

Answers

Answer:

159.1

Step-by-step explanation:

The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.

Jake Visits his relatives on Thanksgiving. He first travels to his parents'
place which is 5 miles straight NORTH. He then travels to his grandparents'
which is 5 miles straight WEST from his parent's house. What is the total
distance of Jake's Journey? What is the total displacement of Jake's
Journey?*
Distance 10 Miles: Displacement 10 Mlles

Distance 5 Miles: Displacement 5 miles

Distance 10 miles: Displacement 7.07 miles

Distance 5 miles : Displacement 7.07 miles

Answers

Answer:

Distance 10 miles: Displacement 7.07 miles  

Step-by-step explanation:

Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles

A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)

Answers

77 is the answer I think

Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)

Answers

Answer:

x-1

MARK ME BRAINLIEST PLS

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