Which number line shows all the values of x that make the inequality -3x+1<7 true?

Answers

Answer 1

Answer: the answer is b

Step-by-step explanation: because open is< or >

Answer 2

The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

What is the number line?

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The given inequality in the problem is,

[tex]-3x+1 < 7[/tex]

Subtract 1 both side of the equation and solve it further,

[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]

Divide with number 3,

[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]

Change the sign of the inequality by filliping the inequality sign,

[tex]x > -2[/tex]

Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.

Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

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Related Questions

Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.

Answers

Answer:

[tex]f(a) = 4a - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - 1[/tex]

Solving (a): f(a)

Substitute a for x

[tex]f(a) = 4a - 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x

[tex]f(a+h) = 4(a+h) - 1[/tex]

[tex]f(a+h) = 4a+4h - 1[/tex]

Solving (c):f(a + h) - f(a)h

[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]

Substitute values for f(a + h) and f(a)

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]

Open bracket

[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]

Collect like terms

[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]

[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]

What is the formula for area of Parallelogram

Answers

Answer:

See below

Step-by-step explanation:

Area of parallelogram = base * height

Answer:

A= b×h

Step-by-step explanation:

b= base

h= height

hope it helped

Which function is increasing? i think it’s A but i need confirmation please help!!!!

Answers

Answer:

AAAAAA

Step-by-step explanation:

Everything else is a fraction

A is correct.........

What does it mean to be “in the red?”
a.
You have more credits than debits.
b.
You have more debits than credits.
c.
You cannot find your financial records.
d.
Your financial records are inaccurate.

Answers

Answer:

You have more debits than credits.

Step-by-step explanation

Being in the red means that you are in debt so im 90% sure its B

If you get this wrong then i am very sorry.This is my input :)

Answer:

Step-by-step explanation:

In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.

If the credit balance is more than the debit balance on income statement, there is a profit.

Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.

A 25% discount on a skateboard is 24.75 what is the cost before discount

Answers

Answer: 13.00

Step-by-step explanation:

Help please I give brainliest

Answers

Answer:

(8,5)

Step-by-step explanation:

Your X coordinate would determine how far right or left something would be on a plot. The more left, the lower the number, and the more right, the higher the number. Y coordinate controls the height. Therefore, the coordinates with the highest X value would be the answer.

The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.

Answers

Answer:

21.3 m

Step-by-step explanation:

y = 4x + 2
6x + 2y = 8
What is the value of x + y?

Answers

Answer:

24/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsFactoringFunctionsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x + 2

6x + 2y = 8

Step 2: Solve for x

Substitution

Substitute in y: 6x + 2(4x + 2) = 8Factor GCF: 2[3x + (4x + 2)] = 8[Division Property of Equality] Divide 2 on both sides: 3x + 4x + 2 = 4Combine like terms [Addition]: 7x + 2 = 4[Subtraction Property of Equality] Subtract 2 on both sides: 7x = 2[Division Property of Equality] Divide 7 on both sides: x = 2/7

Step 3: Solve for y

Substitute in x [Original equation]: y = 4(2/7) + 2Multiply: y = 8/7 + 2Add: y = 22/7

Step 4: Evaluate

Substitute in variables: 2/7 + 22/7Add: 24/7

The perimeter of a rectangle is 18 cm. If its length is 5 cm, find its breadth.

Answers

Answer:

Hope that answers your question, you're welcome

[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(5 + b) = 18 \\ \\ \longmapsto \: 5+ b = 9\\ \\ \longmapsto \: b = 4cm[/tex]

help please!
will give brainliest

Answers

Answer:

The answers will placed according to the order that they were given

6.93

15.75

17.64

6.93

Step-by-step explanation:

PLEASE HELP ME ANSWER THIS QUESTION!!! Last question!!

Answers

Answer:

you got this

Step-by-step explanation:

trust your instincts so that way you may succeed in your collage

Answer

Angle 1=112 degrees

Step-by-step explanation:

Aight so we know angle 1 nd 2 equals 180 degrees, and because of some theorem with lines, angles 2 and 4 are both alternate exterior angles which means they are the same.

So if angle 4=5x+13

and angle 1=10x+2

and together they make 180, this should be your equation:

5x+15=180

simplify to get x=11

then since 1 =10x+2

multiply 11 by 10 then add 2

and your final answer should be 112 degrees

hope this helps

1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)

Answers

6999999 huhuijuu harder daddy

which monomial represents the number of square units in the area of a circle with radius 4x^3 units

Answers

Answer:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

Then if the radius of the circle is R = 4*x^3

The area of this circle will be:

A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2

Here you need to remember that:

(a^n)^m = a^(n*m)

Then the area of the circle is:

A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6

So the monomial that represents the number of square units in the area of the circle is:

A(x) = 50.24*x^6

1 1/4 x 2 1/4 = ? i need help plzzz

Answers

Answer:

2,13/16

Step-by-step explanation: you can put it in the calculator and the answer given would be 2 13/16 hope it helps!

Answer:

2 13/16 or 45/16

BRAINLIEST STARS

Find the area of the circle if r = 5 meters. Leave the answer in terms of pi.
A) A=100pi square meters
B) A=25pi square meters
C) A= 5pi square meters
D) A=10pi square meters

Answers

Answer:

B: A=25pi square meters

Step-by-step explanation:

Answer: 25pi square meters

1000 more than the smallest 4 digit number

Answers

Answer:

1000+1000=2000

Step-by-step explanation:

Answer:

Smallest 4 digits =1000

Step-by-step explanation:

1000+1000=2000

PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3

Answers

Answer:

80.

Step-by-step explanation:

I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.

What is the total interest paid on an $185,000 loan at 6.25% APR over 15 years (monthly payments)?

Answers

Answer:

Total Interest $100,522

Step-by-step explanation:

Answer:

$100,522

Step-by-step explanation:

In ΔDEF, the measure of ∠F=90°, FD = 33 feet, and DE = 92 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answers

ADED = F=90ْ plus 90 ==1 - 2 6+6 =p

Answer:

Step-by-step explanation:

i don't know

4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°

a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3

5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)

tan =

Answers

9514 1404 393

Answer:

4. b =-√(3)/3

5. 1/2

Step-by-step explanation:

4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...

tan(150°) = -(√3)/3

5. The cotangent is the inverse of the tangent, and vice versa.

tan = 1/cot

tan(θ) = 1/2

Use the distributive property to write an equivalent expression. 4(x+2)

Answers

Answer:

4x+8

Step-by-step explanation:

4*x = 4x

4*2 = 8

4x+8

The equivalent expression using the distributive property is 4x + 8.

How to determine the distributive property to write an equivalent expression.

To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.

Using the distributive property, we multiply 4 by both x and 2:

4(x + 2) = 4 * x + 4 * 2

Simplifying further:

4(x + 2) = 4x + 8

Therefore, the equivalent expression using the distributive property is 4x + 8.

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add. simplify the answer and write it as a mixed number 2/15+3/10+4/5

Answers

Answer:

1 7/30

Step-by-step explanation:

First find common denominator then solve

[tex]\frac{2}{15} + \frac{3}{10} + \frac{4}{5}\\\\\frac{4+9+24}{30} = \frac{37}{30} = 1\frac{7}{30}[/tex]

builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?

Answers

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

WILL GIVE BRAINLIEST URGENT

Answers

Answer:

CHICKEN CHEESE BUTT

Step-by-step explanation:

5+5 = 69 :)

I really need help pls ty

Answers

Answer:

m<3 = 58

Step-by-step explanation:

lllllllllllllllll

angle 3 = 58°.
angle 7 and angle 5 are alternate interior angles, so they’re congruent. since 5 and 6 make up a complementary angle, they equal 90°. 90 — 32 = 58. angle 6 and angle 3 are vertical angles, so they’re congruent. If angle 6 equals 58, then so does angle 3.

What is the distance between the points (-9 , 23) and (2 , 23) in the coordinate plane

Answers

Answer:

d=11

Step-by-step explanation:

d = √[(2 - (-9))^2 + (23 - 23)^2]

= √[(2 + 9)^2 + (0)^2]

= √[11^2 + 0^2]

= √(121 + 0)

= √121

= 11

Therefore, the distance between the points (-9, 23) and (2, 23) is 11 units.

Liam is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Liam need to invest, to the nearest ten dollars, for the value of the account to reach $23,000 in 5 years?

Answers

Answer:

The answer is 17300./ Hope this helps

What is 7 / 2 0 to 5

Answers

7/20 to 5 is 1 3/4 or 7/4.

What does b represent in the expressions.

Answers

I think it represents the price of each granola

13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?

Answers

37 because you add 13+10=23 7+7=14 and 23+14=37

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