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

i need help on this math problem

Answers

Answer:

I think the first one goes with the second one

Step-by-step explanation:

An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?

60 + 35h

Answers

The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:

Answer: 60h + 35

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]

Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .

However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.

Use co-factor expansion along any row or column of your choice.

This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.

In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc

I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :

∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]

how do you do this?? could you kindly include your work pls..

Answers

Answer:

B.  0.

Step-by-step explanation:

(x + 2y)dy/dx = 2x - y

dy/dx = (2x -y)/(x + 2y)

Using implicit differentiation and the Quotient Rule:

d^2y/dx^2 =  (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2

At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.

So substituting in d^2y/dx^2, we have:

(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/  (3+0)^2

= (6 -  6) / 9

= 0.

how many different 12 member teams can be chosen from a pool of 32 people

Answers

Answer:

Step-by-step explanation:

32 choose 12

[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840

Answer:

P(12,32) = 32!/20!12!

= 2257928402

Hope it helps you

Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards

Answers

The conversion of the following values to their desired units are as follows:

4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups =  8 pints1.6 miles = 2816 yards

The dimension analysis shows the relation of different physical quantities by converting them from one unit to another.

According to the standard conversion rates:

1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards

1.

4 gallons will be:

= (4 gal × 4 quarts)/1 gal

= 16 quarts  

2.

1400 feet will be:

= (1400 foot ×  0.000189394 miles)/ 1 foot

= 0.2651516 miles

3.

16 hours will be:

= (16 hours × 60 mins)/ 1 hour

= 960 mins

4.

16 cups will be:

= (16 cups × 0.5 pints)/1 cup

= 8 pints

5.

1.6 miles will be:

= (1.6 miles × 1760 yards)/ 1 mile

= 2816 yards

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(-1/2+7/10)-(-3/4x-1/5)

Answers

Answer:

( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )

Step-by-step explanation:

Bab needs help with complex numbers

Answers


4x+8x^2-12 is the answer

(12x−8x)+8x^2-12=

4x+8x^2-12

A square field has a side length of 6x10 meters. Which of the following is its area in square meters?

Answers

Answer:

60 square meters

Step-by-step explanation:

area is just its length times its width and both numbers are provided here

6 * 10 is 60

LM bisects
KL = LN
m m m

Answers

Answer:

Only one must be true

Step-by-step explanation:

There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?

Answers

Answer:

Step-by-step explanation:

16/(16 + 14) = XX/1500

1500(16) = 30XX

XX = 800 girls

answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing

Solve for C:
Spam: deiodhwidweiudjegydjwe

Answers

Answer:

[tex]C=\frac{5F-160}{9}[/tex]

Step-by-step explanation:

Let's solve for C.

[tex]F=\frac{9C}{5}[/tex]

Step 1: Flip the equation.

[tex]\frac{9}{5} C+32=F[/tex]

Step 2: Add [tex]-32[/tex] to both sides.

[tex]\frac{9}{5} C+32+-32=F+-32[/tex]

[tex]\frac{9}{5}C=F-32[/tex]

Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].

[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]

[tex]C=\frac{5F-160}{9}[/tex]

Answer:

[tex]C=\frac{F-160}{9}[/tex]

please help me :(!!!!

Answers

Answer: (3,9)

Step-by-step explanation:

They're asking which ordered pair [tex](x,y)[/tex] satisfies both equations when you plug in [tex]x[/tex] and [tex]y[/tex]. Well since you're plugging in the same [tex]y[/tex] to both equations, [tex]3x[/tex] should equal [tex]2x + 3[/tex] (think about it). And solving [tex]3x = 2x + 3[/tex] gives [tex]x = 3[/tex], so the answer is

[tex](x,y) = \boxed{(3, 9)}[/tex]

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

hello is anyone on here please helpGive possible values for the measures of angles and if is an acute triangle.

Answers

Answer:

Step-by-step explanation:

An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.

pls help. I am not very smart!

Which equation represents this statement?

3 1/3 is the same as the sum of −1/2 times a number and −3

3 1/3+(−1/2)=−3x

3 1/3=−1/2x+(−3)

3 1/3+(−1/2x)=−3

3 1/3=−1/2+(−3x)

Answers

Answer:

3 1/3=−1/2x+(−3)

Step-by-step explanation:

The equation for the given problem can be written as 1/3 = -1/2x + -3. The correct option is (B).

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The statement given in the problem is, " 1/3 is the same as the sum of −1/2 times a number and −3".

Suppose the unknown number be x.

Then, the equation for the given statement can be written as,

1/3 = -1/2x + -3

Hence, the equation that represents the given statement is 1/3 = -1/2x + -3.

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Have a good day and remember to smile!

Answers

AWW you to have a good day!

Help help help please math please

Answers

the answer is 5 if you follow the x axis and look and the number 3 the graph would touch at 5 or using the equation x=3 so y=3+2 which is 5

in which system are the lines parallel ?

Answers

Answer: B

explanation: the slope is the same in both equations

What is the next number in the pattern?

9 4 7
—, —, — . . .
10 5 10

Answers

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

Solve the Quadratic

Solve for x. Write in simplified radical form.

x^2– 7x – 4 = 0

Solution 1:
Solution 2:

Answers

Answer:

[tex]solution 1: \ \frac{7+\sqrt{65}}{2};[/tex]

[tex]solution2: \ \frac{7-\sqrt{65} }{2}.[/tex]

Step-by-step explanation:

x²-7x-4=0;

D=[b²-4ac]=49+16=65.

[tex]\left[\begin{array}{ccc}x=\frac{7+\sqrt{65}}{2} \\x=\frac{7-\sqrt{65}}{2} \end{array}[/tex]

Jane & Jim spent the same amount of money today. If Jim spent
$5.25 on food and rode the train 3 times, and Jane spent $12.45 on
food and rode the roller coaster twice, then how much does a
token cost?

Answers

Answer:4$

Step-by-step explanation

The cost of one token is 7.2 dollars.

What is a linear equation in one variable ?

A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.

According to the given question Jane & Jim spent the same amount of money today.

Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token to be T.

∴ 5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = 7.2.

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A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did they export? Can someone please help me without a link to go to.​

Answers

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300


April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?

Answers

Answer:

2%

Step-by-step explanation:

Answer:

I don’t know

Step-by-step explanation:

joey enter a hot dog eating competition. He ate 30 1/2 hot dogs in 3/4 minutes. How many hot dogs did he eat in one min.

Answers

8 and 2/15

TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

                                                                                 

Is 3 the coefficient of s/3?

Answers

I think that yes it is I THINK but yeah mostly I think it’s yes

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

s/3

This can be written as (1/3)s.

The coefficients of an equation are the non-zero values along with the variables.

Example:

ax² + bx + 3

The coefficients of this equation are a, and b.

The coefficient for the expression s/3  is 1/3.

Thus,

The coefficient of s/3 is 1/3.

s/3 = (1/3)s

No, 3 is not the coefficient of s/3.

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Find the slope of the line that passes through:
(-3,-4) and (76)

Answers

Answer:

Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4

Step-by-step explanation:

hope this helps, have a nice day/night! :D

if it helped, please mark this as brainliest!

Answer:

Slope = 1

Step-by-step explanation:

Slope = change in y / change in x

Slope = 6 - (-4)/7 - (-3)

Slope = 10/10

Slope = 1

-Chetan K

the equation of a line with slope2/5 and y-intercept 1 is

Answers

Step-by-step explanation:

y=(2/5)x + 1

that is the answer

Answer:

y=2/5x+1

Step-by-step explanation:

y=mx+b

m=2/5

b=1

Hope this helps :)

Solve them ALL... BWAHAHAHAHAHAHAHAHAHAHAHAHAHAHA. Anyway Good LUCK

Answers

the first one is (B) i think

the second one is (B)

the third one is (B)

the fourth one is (A)

the fifth one is (A)

Eight less than the product of eleven and a number is negative nineteen. Find the number

Please help and show the answer thank uou

Answers

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

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