solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2​

Answers

Answer 1

Answer:

-2 < x <= 0

Step-by-step explanation:

Isolate the variable.

-4 < 3x + 2 <= 2

Subtract 2 from each side.

-6 < 3x <= 0

Divide both sides by 3

-2 < x <= 0


Related Questions

Given the equation 5x + 23 = - 2x - 12, which order of operations completely solves for x? (1 point)
O Add 2x, then subtrost 23, lastly divide by - 7
Subtract 2x, then add -23, lastly divide by 7
O
Subtract 5x, then add 12, lastly divide by 7
Subtract 5x, then add 12, lastly divide by - 7
4.(01.02)

Answers

Answer:

-5

Step-by-step explanation:

5x+23= -2x-12

Add 2x to the other side

7x+23= -12

Subtract 23 from the other side

7x= -35

Divide 7 from the other side

x= -5

(2n3 - 3n4 + 7n) - (n3 - 8n4 - 7n)

Answers

Answer:

Step-by-step explanation:

(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n

  {Here -1 is distributed }

                                                  = 2n³ - n³ - 3n⁴ + 8n⁴ + 7n + 7n

                   {Combine like terms}

                                                  = n³ + 5n⁴ + 14n

Answer:

The answer is: n^3 + 5n^4 + 14n

Step-by-step explanation:

Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?

Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900.

Answers

Answer:

Option 3

Step-by-step explanation:

If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories.  1900 - 1100 = 800 calories left to consume.

While option 2 also says no, it's not the right reason.  

The calories left to consume for the day is 800 calories.

No, 1,100 will cause him to exceed 1,900.

Given,

Jace has consumed 1,500 calories so far today.

He has also burned off 400 calories at the gym.

He would like to keep his daily calorie total to 1,900 calories per day.

We need to find how many calories he has left to consume for the day.

And see which option is the best choice.

We have,

Calories consumed in a day = 1500

Burned calories = 400

Calories to keep in a day = 1900

Find the Calories left

= 1500 - 400

= 1100

Find how many calories need to be consumed to keep 1900 calories.

= Calories needed to keep in a day - calories remaining after burned

= 1900 - 1100

= 800

We see that the calories left to consume is 800 calories.

So 1100 is not a viable solution. It will cause him to exceed 1,900.

Thus,

The calories left to consume for the day is 800 calories.

No, 1,100 will cause him to exceed 1,900.

Learn more about finding the calories needed to consumed to keep daily calories here:

https://brainly.com/question/12862654

#SPJ2

1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0​

Answers

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?​

Answers

Solution:-1

SP=20000Discount=15%CP=?

100-15=85%=SP

[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]

[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]

[tex]\\ \sf\longmapsto x=235.2(100)[/tex]

[tex]\\ \sf\longmapsto CP=23520[/tex]

Solution:-2

SP=450Discount=10%CP=?

100-10=90%=SP

[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]

[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]

[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]

[tex]\\ \sf\longmapsto x=5(100)[/tex]

[tex]\\ \sf\longmapsto CP=500[/tex]

1. A number is represented by x. How would we represent:

a) 2 more that the number.
b) 5 times the number.
c) 3 less than twice the number.
d) Twice as much as 3 less than the number.
e) A 1/4 of the number.

Answers

Step-by-step explanation:

If the number is represented by x, then

x+25x2x-3(x-3)21/4× x=x/4

how are 1/4 of 12 and 12 divided by 4 related????

Answers

Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.

Answer:

they are related because both of the equation equal to 3

solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.

Answers

Answer:

2x-y= 5, x + 2y=5

Step-by-step explanation:

x = 3, y = 1

The smallest circle in the figure has a radius of 2 inches. Which equation gives the area A of the shaded part of the figure? Recall that A = (pi)r^2

Answers

Answer:

60π in²

Step-by-step explanation:

Inner Circle:

r = 2 in

Area of inner circle = πr²

        = π* 2 * 2

       = 4π   in²

Middle circle:

r = 6 + 2 = 8 in

Area of middle circle = π * 8 * 8

                                    = 64π in²

Area of shaded region =  area of middle circle -area of inner circle

                                       = 64π - 4π

                                       = 60π in²

Answer:

A = 60pi

Step-by-step explanation:

the radius of the smallest circle is 2 inches so that would give us an area of 4pi. the distance in the shaded part is 6 inches, since we're wanting to find the area of the shaded part, we'll add the radius of the smallest circle, 2 inches, and add it to the length of the shaded circle, 6 inches, to get a radius of 8 inches. plug 8 inches into the formula and youll get 64pi then subtract the 4pi from 64pi and youll get 60pi, which is the area of the shaded part of a circle.

solve this problem I am not able to solve this please help me

Answers

Answer:

4/5

Step-by-step explanation:

What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).

First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.

Remember the formula,

sin a = opposite/hypothenuse.

Substitute the values in,

sin 2A = 4/5

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3

Answers

Answer:

y + 7 = 1/3 (x + 5)

Step-by-step explanation:

The format for writing a point-slope equation is:  y - y1 = m(x - x1).

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

where, m = 1/3, x1 = -5 and y1 = -7

[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]

[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]

[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]

[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]

[tex]y = \frac{1}{3} (x + 26)[/tex]

what is the vaule of 11a+2(3a+4b)-5b for a=6 and b=-2

Answers

Answer:

96

Step-by-step explanation:

a= 6 b = - 2

So just subsitute all the a and b into the number they gave

11(6) + 2(3(6)+4(-2)) - 5(-2)

66+ 2(10) +10

66+20+10

96

Just be careful with your positive and negatives

Pls I need help on this

Answers

Answer1:

-1

Step-by-step explanation:

distributed, so it must be the number before parenthesis

-(-3c+5) = -1(-3c+5)

1.How many semi-circles are there in a circle?

2.How many quadrants form a circle?

3.Which line touches a point on the circumference of the circle?

4.The line touching the inside circumference of the circle is called the _______.

5.The part of the circle enclosed by two radii inside the circle is known as the ______.

6.The distance around the circle is the ________.

7.Which is the longest chord in the circle?

8.The _______ is same as the perimeter of a rectangle.​

Answers

Answer:

1. 2semicircle

2. 4 quadrant

3. tangent

4.chord

5.The region enclosed by two radii and an arc of a circle is called the sector of a circle.

6. The distance around the circle is called circumference.

7.Diameter is the longest chord of the circle..

8.The perimeter of sum of all the side lengths of a shape. is same

What are the names of three collinear points?

A parallelogram is shown with point upper J at its center. Ray upper J upper K is drawn horizontally to the right. Ray upper J upper L is drawn horizontally to the left. Points upper A and upper D are located inside the parallelogram above point J. Point upper B is located inside the parallelogram below point J. (1 point)
Points D, J, and K are collinear.
Points A, J, and B are collinear.
Points D, J, and B are collinear.
Points L, J, and K are collinear.

Answers

Answer:

L,J, and K are collinear

Step-by-step explanation:

Need awnsers please

Answers

Answer:

<C+83=90 [ sum of complementary angles ]

<C=90-83

<C=7

Now,

<C+83=180 [ sum of supplementary angles ]

<C=180-83

<C=97

Find the H.C.F of 32, 48 and 64​

Answers

Answer:

Step-by-step explanation:

Factor into primes

32: 2*2*2*2*2

48: 2*2*2*2*3

64: 2*2*2*2*2*2

The highest common factor is 2*2*2*2 = 16

how long train take to cover 162 1/2 km at an avarage speed of 40km/hr

Answers

Answer:

4 hours and 3.75 minutes

Step-by-step explanation:

[tex]162\frac{1}{2}\div40\\= 4.0625or4\frac{5}{80} or 4\frac{1}{16}[/tex]

This would be 4 hours and 3.75 minutes

Simplify the answer has to be a positive exponent Please help!

Answers

5^4 /5

Use the exponent rule x^a/x^b = x^a-b

5^4/5 = 5^4-1 = 5^3

Answer as a positive exponent is 5^3

please help easy maths

Answers

Answer:

option D

Step-by-step explanation:

y-intercept=-8

point(0,-8)

m=4

Using point slope form:

y-y1=m(x-x1)

y-(-8)=4(x-0)

y+8=4x

y=4x-8

A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])

Answers

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

Answer:

10 is your answer

Step-by-step explanation:

I would love brainliest, thanks!

helpppppp me please i need help

Answers

I think it is the 2 one hopefully it helps

Answer:

2nd one?

Step-by-step explanation:

Have a good day

-Bradi

f(4) =

If g(x) = 2, x =

Answers

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))​

Answers

Answer:

Here is your answer . Hope this helps.

In a survey, 250 people were asked if they smoke…..

Answers

Answer:

90%

Step-by-step explanation:

22%

x^2-2x/2x^2+8 - 2x^2/8-4x+2x^2-x^3

Answers

Answer:

[tex]-2x^3+\frac{11}{4} x^2 - 4x +8[/tex]

A truck can be rented from Company A for ​$140 a day plus ​$0.80 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

600 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 140 + 0.80x

Company B: 80 + 0.90x

Set up an equation:

140 + 0.80x = 80 + 0.90x

Isolate variable x:

60 + 0.80x = 0.90x

60 = 0.10x

600 = x

Check your work:

140 + 0.80(600) = 80 + 0.90(600)

140 + 480 = 80 + 540

620 = 620

Correct!

how I do this plzz help​

Answers

Answer:

I also don't know because I did not read this chapter

Answer:

yes how can we do this i am also confusing

Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?

Answers

Answer:

$681.50

Step-by-step explanation:

$13.63 x 50 = $ 681.50

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