write the solution in interval notation: 1/4x−3≥−1 and −3(x−2)≥2

Answers

Answer 1

Answer:Mark me as Brainliest please

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]\frac{1}{4}x-3\geq -1[/tex]

Step 1: Add 3 to both sides.

[tex]\frac{1}{4} x-3+3\geq -1+3[/tex]

[tex]\frac{1}{4} x\geq 2[/tex]

Step 2: Multiply both sides by 4.

[tex]4*(\frac{1}{4} x)\geq (4)*(2)[/tex]

Answer:

x≥8

Let's solve your inequality step-by-step.

−3(x−2)≥2

Step 1: Simplify both sides of the inequality.

−3x+6≥2

Step 2: Subtract 6 from both sides.

−3x+6−6≥2−6

−3x≥−4

Step 3: Divide both sides by -3.

[tex]\frac{-3x}{-3} \geq \frac{-4}{-3}[/tex]

Answer:=[tex]x\leq \frac{4}{3}[/tex]

Related Questions

if f(x)=x^2 and g(x)=x-1 then f(g(x))=?

Answers

f(g(x)) = (x-1)^2

= x^2 -2x + 1
☆Answer :

Answer in the picture.

Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A.
y = 275 - 6x
B.
y = 275 + 6x
C.
y = 6x - 275
D.
y = 275x - 6

Answers

answer is A. Y= 275 - 6x

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Answers

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

Use clustering to solve the following problem: 42 x 12. 126 82 504 44 giving 100 points

Answers

Answer:

I need to know more info srry

Step-by-step explanation:

Choose the definition for the function.
Please help ASAP thank youuu

Answers

Answer:

D

Step-by-step explanation:

y = {x + 1 x>or equal 2

{x+2 x<2

Can someone please help me I will mark u brilliant

Answers

First one is 3/4 and second one is 4/9

AY (-3, 1) #3211 # -2 2 x -2 (2, -2) The slope is negative Find the slope m =​

Answers

9514 1404 393

Answer:

  -3/5

Step-by-step explanation:

The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

Using the values from the marked points, we have ...

  m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c​

Answers

Answer:

[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]

Answer:

a = 2, b = 3 and c = 3

i.)

a + 2b

2 + 2(3) = 2 + 6 = 8

ii.)

a + b + c

2 + 3 + 3 = 8

Thus, The answer of i.) is 8 and ii.) is 8

-TheUnknownScientist 72

A person consuming 1600 calories a day and 92 grams of this is fat what would be the percentage of this would the division be 92x4 368÷1600 getting an answer of 0.23 I'm I doing this correctly

Answers

Answer:

i think ur on the right path

Step-by-step explanation:

if it is looking for the percent it would be 23%

12 K12.com
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3.16 Unit Test: Slope - Part 1
This graph shows the costs of purchasing two types of flowers.
Which statement is true?
Flower A
O Flower A is less expensive than Flower B.
Flower B is less expensive than Flower A.
Flower B
Cost (S)
Flower A and Flower B cost about the same,
Stems
1

Answers

Answer:

letter A

your welcome my job is to help you

Answer:

Flower B is less expensive than Flower A.

Step-by-step explanation:

Well...I tried the other answer the first person had said but i got it wrong.  I checked what the answers were and it showed as "Flower B is less expensive than Flower A." as the correct answer.

Rewrite using a single positive exponent: 4^9/4^2

Answers

9514 1404 393

Answer:

  4^7

Step-by-step explanation:

You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.

You also know that identical factors in the numerator and denominator of a fraction cancel.

The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:

  [tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

Click on the solution set graphic until the correct one is displayed.

Answers

Answer:

empty set

Step-by-step explanation:

Answer: { } or empty set

the choses are:

{ } or empty set

{ infinite set of points on like}

{ point in quadrant I }



Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =

Answers

9 + 6 = 15
15 + 31 = 46

added 9 and 6 to get 15, then added 15 and 31 to get 46.

Alejandra waited for the bus last Tuesday.
A) Alejandra esperaste el bus el martes pasado.
B) Alejandra esperé el bus el martes pasado.
C) Alejandra esperásteis el bus el martes pasado.
D) Alejandra esperó el bus el martes pasado.

Answers

Answer:

- Alejandra esperó el autobús el martes pasado.

- El martes pasado Alejandra esperó el autobús

Step-by-step explanation:

Answer: - Alejandra esperó el autobús el martes pasado.

Step-by-step explanation:

please please please help
urgently needed!! ​

Answers

Answer:

Ф = 19.80 °

Step-by-step explanation:

by using pythagoras theorem

h² = p² + b²

13² = 5² + b ²

b = √194

b = 13.93

now

tanФ  = p/b

Ф = tan¬1( 5 / 13.93)

Ф = 19.80 °

I need help solving the problem

Answers

Answer:

a) 16-x=x+4

add x to both sides

16=2x+4

subtract 4 from both sides

12=2x

divide both sides by 2

x=6

b) (8-x)-5=2

add 5 to both sides

8-x=7

add x to both sides

8=7+x

subtract 7 from both sides

x=1

c) 4+x=x+4

subtract 4 from both sides

x=x

x belongs to all real numbers.

Answer:

A) 16-x=x+4

       +x +x

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

16=2x+4

-4       -4

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

12=2x

---- ---

2     2

x=6

D)6 (x=6)

B) (8-x)-5=2

8-x-5=2

Combine like terms (8-5)

3-x=2

-3   -3

-----------

-1x=-1

--    --

-1     -1

B=1

x-1 so your answer is 1

C) 4+x=4+x

From telling there is going to be no solution but still solve it

4+x=4+x

-4    -4

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

0+x=x

  -x   -x

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

0=0x

--   ---

0    0

B is your answer (X=0)

Hope this helped :D

Jeremy has 10 socks. 6 of the socks are red 2 of the socks are blue 2 of the socks are green Jeremy takes at random two of the socks. Work out the probability that he takes two socks of the same colour.

Answers

R=6B=2G=2

ATQ

[tex]\\ \sf\longmapsto R+B+G=10[/tex]

[tex]\\ \sf\longmapsto 6+2+2=10[/tex]

Divide all by 2

[tex]\\ \sf\longmapsto 4+1+1=5[/tex]

Now

R'=4B'=1G'=1

Two of same colour so we need P(R')

[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]

[tex]\\ \sf\longmapsto 0.4[/tex]


.A person climbs to the top of a mountain at the rate of 1.5 kilometers per hour and down the same way at a rate of
4.5 kilometers per hour. If he is gone for 6 hours, how far did he travel from camp to the top of the mountain?

Answers

Answer:

he traveled 9Km

Step-by-step explanation:1.5 x 6

The line passing through which two points is perpendicular to the line 10x + 2y = 2

A (-2,-7) and (1,8)
B (-5,5) and (0,4)
C ( 0,-9) and (5,-8)
D (-4,12) and (-2,2)
E (-2,11) and (1,-4)

Answers

Answer:

[tex]10x + 2y = 2 \\ 2y = - 10x + 2 \\ y = - 5x + 1 \\ \perp \: l \rightarrow\: m = \frac{1}{5} \\ \frac{8 + 7}{1 + 2} = \frac{15}{3} = 5 \\ \frac{4 - 5}{0 + 5} = - \frac{1}{5} \\ \frac{ - 8 + 9}{5 - 0} = \color{yellow} \frac{1}{5} \: [/tex]

so the answer is C

you may check the rest...

x = 68°, find the measures of angles 1, 2, and 3.

Answers

Answer:

[tex] < 1 = 112 \degree\\ < 2 = 68 \degree \: \\ < 3 = 112 \degree[/tex]

Step-by-step explanation:

As the vertically opposite angles are equal,

[tex]x = < 2 \\ x = 68 \\ so \\ < 2 = 68 \degree[/tex]

As the angles in a straight line is added up to 180°

[tex] < 1 + < 2 = 180 \\ < 1 + 68 = 180 \\ < 1 = 112 \degree[/tex]

Also,

[tex] < 2 + < 3 = 180 \\ 68 + < 3 = 180 \\ < 3 = 112 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions:-)

What is the value of 2÷1/6

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Is there a proportional relationship between the area and radius of a circle?

Answers

Answer:

is this free choice?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Since A=pi x r2 There is a proportional relationship .

answer onlly and answer correctly

Answers

Answer:

[tex]\frac{9}{64}[/tex]

y=−4x−3 y=−2x+1 ​ ( Ignore this part i had to write it)

Answers

Answer:

Solve equation [2] for the variable y

[2] y = -2x + 1

// Plug this in for variable y in equation [1]

[1] (-2x+1) + 4x = -3

[1] 2x = -4

// Solve equation [1] for the variable x

[1] 2x = - 4

[1] x = - 2

// By now we know this much :

y = -2x+1

x = -2

// Use the x value to solve for y

y = -2(-2)+1 = 5

Solution :

{y,x} = {5,-2}

Camilla's Burgers cooks its burgers either well done or medium. Last night the restaurant served 75 burgers in all, 45 of which were well done. What percentage of the burgers were well done? Write your answer using a percent sign (%).

Answers

Answer:

60%    

Step-by-step explanation:

number well done/total burgers cooked ×100

45/75 × 100

4500/7500

60%    

Check: Total  ×  60%  = 75 ×.60 = 45 well done

how much is 80+198 in fractions

Answers

Answer:

278/1

Step-by-step explanation:

The question is kind of unclear... though this is 80+198 simplified.

Hope this helped! :)

Evaluate the equation 15d = -105

Answers

Answer:

Step-by-step explanation:

    15d = -105

15d/15 = -105/15

        d = -7

15d = -105

d = -105/15

d = -7

____

RainbowSalt2222 ☔

Simone paid $14 for an initial year's subscription to a magazine. The renewal rate is $6 per year. This situation can be represented by the equation y = 6x + 14, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.

Answers

Answer:

12

Step-by-step explanation:

This is easy. Select different values for x to find y values.

For example, let x = 0.

y = 8x + 12

y = 8(0) + 12

y = 0 + 12

y = 12

On your table, you have x = 0 and y = 12.

Do the same using other values of x.

Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X

Answers

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

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