Solve and graph the inequality. −22<4x−2≤10

Answers

Answer 1

Step-by-step explanation:

-22 < 4x - 2 ≤ 10

-20 < 4x ≤ 12

-5 < x ≤ 3


Related Questions

Given f(x) = 2x + 5, find x when f(x) = 45

Answers

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

What is the probability of choosing a number from 1 to 10 that is greater than 5 or even?

Answers

Answer:

3/10  or 30%

Step-by-step explanation:

The longest, yet easiest way to do this is to find all possible numbers that fit this scenario

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Even Numbers: 2, 4, 6, 8, 10

Greater Than 5: 5, 6, 7, 8, 9, 10

Now find common numbers in both categories

6,8, and 10

meaning the probability is 3/10 or 30%

Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!

Answers

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The quotient of x and 4

Answers

Answer:

x/4  

x divided by 4

This question is confusing. Please help me!This question is confusing. Please help me!

Answers

Answer:

(C) 1/2

Step-by-step explanation:

s + 3s = 4st + 3t = 4t

If 4s is 2 more than 4t, then:

4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

1/1 1/4 1/9 what's the pattern

Answers

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

What is -S to the power of three minus 5st, S= -3 and T= -2.

Answers

=-3 to the power 3 - 5(-3(-2)
=-27-5(6)
=-27-30
=-57

convert 2.5 years to hours​

Answers

Answer:

21900 hours

Step-by-step explanation:

To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900

Answer: 21,914.55 hours

I hope my answer helps you! :)

-0.2(-67+22)=2(7n 3)-8n =?

Answers

70.6 what i got was 70.6753275399

If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?

Answers

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

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A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.

Answers

Answer:

-3x + 8

Step-by-step explanation:

The railroad track moves in a straight path from station A to station B and then from station B to station C.

Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:

AC = AB + BC

Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:

AC = 3x + 4 and BC = 6x - 4.

Using the line segment addition postulate:

AC = AB + BC

3x + 4 = AB + (6x - 4)

AB = 3x + 4 - (6x - 4)

AB = 3x + 4 - 6x + 4

AB = 3x - 6x + 4 + 4

AB = -3x + 8

Change the repeating decimal to a fraction:
0.376376376...

Answers

Let x = 0.376376376...

Then 1000x = 376.376376376...

So we have

1000x - x = 376.376376376... - 0.376376376...

999x = 376

x = 376/999

Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Write the integer that represents $32 withdraw.​

Answers

Answer: -32

You are taking away from "withdrawal"

There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.

Answers

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks

Answers

Answer:

r=b(w)-2x

Step-by-step explanation:

were solving for r so that is our end variable

sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles

b(w)

Ex: they buy 2 boxes and each box contains 24 waffles

b=2 and w=waffles

it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.

2x

Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks

Answer: r = b(w) - 2x

The number of remaining waffles r, after 2 weeks is r=bw-2x.

Given that, a family buys b boxes of frozen waffles each containing w waffles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The number of remaining waffles r, after 2 weeks.

Number waffles = Number of boxes × Number of waffles in each box

= b × w

= bw

Now, number of waffles left after 2 weeks = 2x

So, equation is r=bw-2x

Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.

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So um I need help and plz explain it

Answers

Answer
58X+26

Set-by-step-explanation

Given the Venn diagram below, which statement must be true?

Answers

the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

Help please! I have to finish this by today.

Answers

14.025, 40/3, square root 170, 14%

Calculator, the end

Answer: Answers

Step-by-step explanation:

The first option

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answers

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

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Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Answers

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

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WILL GIVE BRANLIEST
5(x + 2) over
2x - 14
x = 10

Answers

Answer:

10 .......................

=5(10+2)/2(10)-14

=60/6

=10

mark ice bear Brainliest

Simplify 3/5 • 3/4 .

Answers

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Answers

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

What is the correct answer?

Answers

Answer:

C

Step-by-step explanation:

c

C ........................

A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount

Answers

Answer:

B) 10 visits

Step-by-step explanation:

Let the number of visits be x.

Pool A cost: 1x + 40 = x + 40

Pool B cost: 5x

Set the two costs equal and solve for x.

x + 40 = 5x

Subtract 5x from both sides. Subtract 40 from both sides.

-4x = -40

Divide both sides by -4.

x = 10

Answer: B) 10 visits

1 Find the shaded area for each of the following shapes.
b
d
6.0m
28 mm
14 cm
40 mm
submitted response:​

Answers

Answer:

the answer is 40

In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?

Answers

Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

Could someone help me write and equation and the soultion Will chose brainlest

Answers

Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

               x  = 130 degrees

2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

Answer:

the answer is choose not chose

Step-by-step explanation:

0.56 as a fraction in simplest form.

Answers

Answer:

14/25

Step-by-step explanation:

0.56=56/100=28/50=14/25

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