2(x-3)< 8 or x+5> 6

Solve the compound inequality

Answers

Answer 1

Answer:

1 < x < 7

Step-by-step explanation:

1. Solve for 2(x - 3)

Step 1: Simplify both sides of the equation.

[tex](2)(x)+(2)(-3)<8[/tex] [tex]2x - 6 < 8[/tex]

Step 2: Add 6 to both sides.

[tex]2x - 6 + 6< 8 + 6[/tex] [tex]2x < 14[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} <\frac{14}{2}[/tex] [tex]x< 7[/tex]

2. Solve for x + 5 > 6

Step 1: Subtract 5 from both sides.

[tex]x + 5 - 5 > 6 - 5[/tex] [tex]x > 1[/tex]

3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.

Therefore, the answer is 1 < x < 7.

Answer 2

Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.

Step-by-step explanation:


Related Questions

Write the expression in rational exponent form.[tex](\sqrt[4]{x}+5)^{3}[/tex]

Answers

[tex] = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } [/tex]

hope it helps

see the attachment

what are 2 different ways to rewrite 3/8

Answers

6/16 and 9/24 :) if this helps pls let me know!! To find equivalent fractions, multiply the numerator and denominator by the same number!

Answer:

3/8 can be 3:8 or 3n:8n or 3n/8n where n is not zero

Step-by-step explanation:

Need Help ASAP! Not too hard

Answers

Answer:

Step-by-step explanation:

What is jk? Please help asap!!!

Answers

Answer:

20 m

Step-by-step explanation:

We can see from the hatch marks that JK is equal to one half of HG

2(6x - 4) = 10x

12x - 8 = 10x

2x - 8 = 0

2x = 8

x = 8/2

x = 4

therefore to find JK we will substitute x with 4

JK = (6(4)-4) = 24 - 4 = 20m

8.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

A. y – 270 = 45x; $45

B. y = 45(x – 4); $180

C. y = 45(x – 4); $270

D. y – 270 = 45(x – 2) ; $450

Answers

Answer:

D. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

GradPoint answer

I got it correct on the quiz.

What are the domain and range of the function below?

A. Domain: (-∞,-5)
Range: (5,∞)

B. Domain = (-∞,∞)
Range: (-10,5)

C. Domain: (-5,10)
Range: (-10,5)

D. Domain: (-∞,∞)
Range: (-∞,∞)

Answers

Answer:

D

Step-by-step explanation:

the graphic does not indicate any limitation in any form in any direction.

compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.

1. The miles traveled in 5 hours at a rate of 189 miles in 3 hours?

Special gift if you answer it right!

Answers

Answer:

312 miles were traveled in 5 hours

Step-by-step explanation:

Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3

Answers

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).

Solve by elimination, ordered pair also

4x + 6y = 12
6x + 9y = 12

Answers

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

Solving by Eliminating method:

[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]

[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]

[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]

[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]

Therefore, the pair of equations has no solution.

Hope this helps!!

Solve.

−0.4x−3.1=5.9

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =

Answers

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

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need help with homework plz and thank u :)

Answers

Answer:

B

Step-by-step explanation:

The zeros are where the function crosses the x-axis. In this case, it is 5/2 and -3, which eliminates options C and D. Next, the y-intercept is the point as to where the function crosses the y-axis. Here, it is (0,15), but does not help us to narrow down our options. Finally, the maximum is the highest y-value that the function touches. If you observe the graph at its highest point, it can be inferred that it's y-value is slightly above 15, and so it is at 15.1 (x-value has no importance in this context).

answer is B! hope this helped!

Solve the photo displayed above ⬆️

Answers

Answer: 216

Step-by-step explanation:its just 6x6x6

6*6*6=216 we will multiply 6 three times because its to the power of cube

PLEASE HELP

A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.

B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.

C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him

D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him

Answers

Answer:

A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he

is traveling faster.

Step-by-step explanation:

Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths

A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?

Answers

Answer:

260 Meters Below the Surface

Step-by-step explanation:

"Dove 450 meters" = - 450

"Climbed 270 meters" = +270

"Dove 80 meters more" = - 80

-450+270-80

-180-80

-180+(-80)

-260 or 260 Meters Below the Surface

I don’t wanna fail if you know the answer pls tell me

Answers

0.12 is the correct answer

Help help please math math please

Answers

Answer:

n = 6

Step-by-step explanation:

6÷4 = 9÷n

6n = 9*4

6n = 36

n = 6

crows are migrating and travel 35 km on a bearing of 047°. Then then fly 15 km of a bearing of 105°. How far , and on wha…

Answers

Answer:

American Crows can be considered partially migratory. That is, some populations migrate, others are resident, and in others only some of the crows migrate. Crows in the southern parts of their range appear to be resident and not migrate. They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F. Certainly crows leave the northern Great Plains in the fall, leaving Saskatchewan and Alberta to winter in the lower Plains states of Nebraska, Kansas, and Oklahoma (Kalmbach, E. R., and S. E. Aldous. 1940. Winter banding of Oklahoma crows. Wilson Bull. 52: 198-206). Crows can be seen crossing the Great Lakes in spring and fall, and these birds undoubtedly are migrating to and from parts of Canada.

Step-by-step explanation:

because  They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F.

What is the radius of a hemisphere with a volume of 6496 (cm to the third power) to the nearest tenth of a centimeter?

Answers

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

The radius of a hemisphere with a volume of 6496 is 14.5 cm

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a hemisphere is given by the formula V = (2/3)πrr³.

Since we are given the volume of the hemisphere, we can solve for the radius as follows:

V = (2/3)πr³

6496 = (2/3)πr³

Multiplying both sides by 3/2π, we get:

r³ = 6496 × (3/2π)

=6496×3/2×3.14

=19488/6.28

=3103.1

=∛3103.1

radius=14.5

Hence,  the radius of a hemisphere with a volume of 6496 is 14.5 cm

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ecuacion primer grado para hoy 7x+2=8x+5

Answers

Answer:

[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]

(ecuacion primer grado para hoy. ). what does this mean..

Answer:

7x+2=8x+5

Recopilar términos semejantes

7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3

What is P55 ? 5 25 1 120

Answers

what are you talking about?

Answer:

120

Step-by-step explanation:

I took the test

I NEED URGENT HELP PLSS

Answers

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

Which is the graph of f(x) = 5(2)*?
O
40
20
(2, 20)
(0.5)
4 -3 -2 -1
1 2
3
4
5 6 x

Answers

Answer:

the graph is this one , I send the picture

what is the sum of 71/5 + 2 4/5 = N
A.9 5/5
B. 10
C. 10 5/5
D. 9 1/2​

Answers

Answer:

A

Step-by-step explanation:

71/5 + 24/5 = N

Since the denominator is the same for both values, we can add them together.

71+24 / 5 = 95/5

We can prove this since 71/5 = 14.2 and 24/5 = 4.8

14.2 + 4.8 = 19

95/5 = 19

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y = 1.5x + 3

Step-by-step explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1)  / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3

The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the
number of hours he works and y is the amount of money he earns. Show work. Complete sentence.
The table shows the amount of money Squidward earns as a cashier for different numbers of hours worked.
Squidward’s Earnings
Time (h) 3 5 8 10
Money earned
($) 48 80 128 160
(a) How much money does Spongebob earn per hour?
(b) How much money does Squidward earn per hour?
pls help and explain

Answers

Answer:

a. 18 dollars per hour

b. 16 dollars per hour

Step-by-step explanation:

for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour

for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16

If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2?

Answers

Answer:

13 newtons

Step-by-step explanation:

21 N force will the same object exert if it accelerates at a rate of 7 m/s².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given:

F =  15N

a= 3 m/s²

Now, Force = mass x acceleration

15 = mass x 3

mass = 5Kg

Now, the acceleration is 7 m/s²

F = m x a

F = 3 x 7

F = 21 N

Hence, the force exerted is 21 N.

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for which values of a, b, and c will Ax+ By=C be a horizontal line through the point (-4,2)

Answers

Answer:

A = 0, B = 1 and C = 2

Step-by-step explanation:

The slope of a horizonal line is zero.

y = mx + b              Use the slope intercept form with m = 0  and point (-4, 2).

2 = 0(-4) + b           Solve for "b"

2 = 0 + b

2 = b

The equation in slope intercept form is y = 0x + 2 ; y = 2.

The equation in standard form: Ax + By = C   has the value 0x + y = 2

To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?

Answers

Answer:

option b

Step-by-step explanation:

have a great day

pls mark as brainliest

Answer:

B

Step-by-step explanation:

A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures

Answers

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.

Since volume = area of base × height

volume = 5.6 × 5.6 × 7.86 ft³

So, the answer volume of the pyramid will have 2 significant figures.

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

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HELP! DUE SOON! X^2=6

Answers

Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

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