Select the correct answer.
Solve the following inequality.

-8 < 3x + 1 < 7

A.

B.

C.

D.

Answers

Answer 1

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2


Related Questions

please help with this

Answers

Answer:

2,4,6,

6,12,18

10,20,30

What is the equation of the line shown in this graph?

Answers

Answer:

y=1

Step-by-step explanation:

the y values r 1 n even using the calculation it will give 1 as y

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

Answers

Answer:

240$

Step-by-step explanation:

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

48 : 20 * 100 = 240

Helps me!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C and D

Step-by-step explanation:

Hope this helps :)

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Factor x^2+5x+2 trinomial

Answers

Answer:

You cannot factor this.

Step-by-step explanation:

Nothing can multiply, to equal 2 and add up to 5.

What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same? *
10 points
A $6.28
B $7.04
C $12.32
D $7.40
Help please:)

Answers

Answer:

B. $7.04

Step-by-step explanation:

5.28 / 3 = 1.76

1.76 x 4 = 7.04

the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?

Answers

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Given log_7⁡3≈0.5646 and log_7⁡16≈1.4248, evaluate the expressions. Please show work using given values.

Answers

Answer:

(a) [tex]\log_72 \approx 0.3562[/tex]

(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]

Step-by-step explanation:

For the point a:

For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]

16 can be re-write as [tex]2^4[/tex]. Then you have:

[tex]\log_72^4[/tex]

Using the power property of the logarithm we have:

[tex]\log_ba^c = c\log_ba[/tex]

[tex]\log_72^4 = 4\log_72[/tex]

And this expression is equal to:

[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]

For the point b:

For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]

The first is use the quotient property in the given log.

[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]

[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]

We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].

So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).

Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:

[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]

Know replace each value in the subtraction and get the result:

[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]

please give explanation and answers for brainlist

Answers

Answer:

y - (-1) = 6/15 (x - 4)

(y + 1) 15 = 6 (x - 4)

15y + 15 = 6x - 24

15y = 6x -24 -15

15y = 6x - 39

Step-by-step explanation:

try hard

2/3 x 4/7 write the answer in the simplest form

Answers

Answer:

8/21

I don't think that it can be simplified further....

Answer:

⁸/₂₁

Step-by-step explanation:

²/₃ ·⁴/₇ = ⁸/₂₁

you just multiply the denominator with the denominator, and the numerator with the numerator.

Elijan un lugar de su escuela o de su localidad y elaboren un croquis a escala.
Muestren su trabajo a la clase e indiquen qué escala utilizaron.

Answers

Answer:

Falta informacion para poderlo realizar (   :

Step-by-step explanation:

whats the answer can someone answer please​

Answers

Answer:

17. 4

18. 4w + 34

19. 39t + 54

Step-by-step explanation:

Answer:

answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54

1. The method of substitution is likely the best method for which system?

−8x−2y=18x−2y=5

2x+y=103x+2y=5

5x−2y=32x+2y=1

−3x+2y=93x−5y=4


2. Solve the system of equations using the substitution method.

5x−4y=−15x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

2.) x=−3 and y=0

Step-by-step explanation:

im still tryna figure out answer to number 1. sorry

Find the slope between these two points: (-3. 2) and (7.9).

Answers

Answer:

m= 7/10 or m = 0.7

Step-by-step explanation:

Slope of the line between 2 points is found using the coordinates of the points.

m = (y2-y1) / (x2-x1) for (x1 = -3, y1 = 2) and (x2 = 7, y2 = 9)

m = (9 -2) / ( 7- -3)

m= 7 / 10

Hey dude! you want some make of noise? I'm Dj from Pennsylvania ​

Answers

……,,,,,,,,,,,,,,,,……..

Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?

Answers

5 week is the answer because 324.50 - 124.50 since it’s a one time payment so now it’s remaining is 200/$40 a week = 5 weeks

The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?

Answers

Answer:

The answer is 7.48 or 7.5

Step-by-step explanation:

If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.

Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0​

Answers

Answer:

a = 3, b = -1, c = -1

Step-by-step explanation:

3x² - x - 1 = 0  ⇒  3x² - 1x - 1 = 0

a = 3, b = -1, c = -1

4 people are going to a dinner party. Each person at the party will eat pound of pasta. If you can only buy whole pounds of pasta, how many pounds should you buy?​

Answers

Answer:

4 pounds 1 pound for each person

Pls answer the rest for me I’ll give you brainilist

Answers

Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

June earned $ 75 last week. April earned $25. June earnings were how many times greater than April

Answers

Answer:

3 times

Step-by-step explanation:

75÷25=3 times greater than April

Can someone tell me what’s going on here

Answers

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

Pls and thiss I beggg

Answers

Answer:

x=115°,y=50°

Step-by-step explanation:

let <B =x

115°+x=180°

x=180°-115°=65°

Since <B=<C

x+65°=180

x=180-65=115°

For y,

y+2(65°)=180°

y+130°=180°

y=180°-130°=50°

Here’s a freebie for the lucky people who answer this

79 - 10 =
A. 70

B. 7

C. 69

D. 6.9

430 - 10 =

A. 469

B. 421

C. 4.2.0

D. 420

Answers

Answer:

The answer is C.

The answer is D.

Step-by-step explanation:

Thank you:)

The answer is 69 or it is c

Cómo se mide la velocidad

Answers

Answer:

d wound be the only answer I think


The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.

Answers

2 1/5

Step-by-step explanation:

3 - 1 = 2

2/5 - 1/5 = 1/5

2 + 1/5 = 2 1/5

Determine the smallest integer value of x in the solution of the following inequality

Answers

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

What is the slope of the line shown below?

A. 3/2
B. 2/3
C. -3/2
D. -2/3

Answers

9514 1404 393

Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0

Answers

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

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