Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?

Which Graph Represents The Solution Set Of The Compound Inequality Negative 4 Less-than-or-equal-to 3x

Answers

Answer 1

Answer:

a) First graph

 The solution of the given inequalities -1 ≤ x ≤ 7

Step-by-step explanation

Given two inequalities

                             - 4 ≤ 3 x -1 ...(i)

                           2 x +4 ≤ 18 ...(ii)

From(i)

                        - 4 ≤ 3 x -1

Adding '1' on both sides , we get

                   - 4 + 1 ≤ 3 x - 1 +1

                  - 3 ≤ 3 x

Dividing '3' on both sides , we get

                 -1 ≤ x   ...(a)

From (ii)

                    2 x +4 ≤ 18

subtracting  '4' on both sides , we get

                  2 x + 4 - 4 ≤ 18 -4

                                2 x ≤ 14

dividing '2' on both sides, we get

                                 x ≤ 7 ..(b)

Now the solution of two inequalities From(a) and (b)

                             -1 ≤ x ≤ 7

Final answer:-

The graph of the two inequalities is first graph

                             

Which Graph Represents The Solution Set Of The Compound Inequality Negative 4 Less-than-or-equal-to 3x
Answer 2

Answer:

first graph or A

Step-by-step explanation:

took the test on edge! have a good day peeps:)


Related Questions

the triangle bounded by the lines y = o, y = 2x
and y = -0.5x + k with k positive is equal to 80 square untits find k

Answers

Answer

k = 3.575.

Step-by-step explanation:

Question 3: Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each bracelet: The price of the necklace was $27. The bracelets were both the same price. Enter your numerical answer only in the box; do not include the dollar sign.

Answers

Answer:

Each bracelet costs 20.25

Step-by-step explanation:

Here's what was given in the equation:

Total Price: $67.50

Price of necklace: $27

We can subtract the $27 from the $67.50 to get $40.5

Since we know that both bracelets are the same price we can divide the $40.5 by 2 to get two of the exact same prices. The result is $20.25 for each bracelet.

Hope this helps

Answer:

20.25

Step-by-step explanation:

Took test got it right.

There are only red counters and blue counters in a bag the ratio of the number of red counters to the number of blue counters is 4:6 write the ratio in the simplest form

Answers

4:6 in its simplest form is 2:3

HOW PLEASE HELP SORRYYYYY FOR ASKING

Answers

Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?

Answers

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Step-by-step explanation:

A temperature falls from 0 to  [tex]- 12\dfrac{1}{4}[/tex]     in     [tex]3\dfrac{1}{2} \ hours[/tex]

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  [tex]- 12\dfrac{1}{4}[/tex]  

The change in temperature is [tex]\Delta T = T_2 - T_1[/tex]

[tex]\Delta T = -12\dfrac{1}{4} -0[/tex]

[tex]\Delta T = -12.25[/tex]

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

[tex]\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}[/tex]

x° =  - 3.5

x° = [tex]- 3\dfrac{1}{2}[/tex]

Thus per hour; the temperature falls at the rate of [tex]- 3\dfrac{1}{2}^0[/tex]

Answer:

Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction

Step-by-step explanation:

A

An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20

Answers

Answer:

d

Step-by-step explanation:

edge2020

Option D is correct. The exponential function is increasing when time goes and the total return on investment.

What is exponential function?

An exponential function is of the form aˣ where 'a' is the base of the function and 'x' is the power of the function.

What is quadratic function?

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

According to the question,

Let 'x' is the time in years and f(x) is the total return on investment. The below table shows the function over the interval.

                    x                                                    f(x)

 a decreasing quadratic function                 10,000

 an increasing quadratic function               12,201.90

a decreasing exponential function              14,888.64

an increasing  exponential function             22,167.15            

Quadratic function f(x) = ax² +b x +c  a > 0

A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows as time in years change does not give maximum total return on investment.An increasing quadratic function the vertex of the parabola lies on the axis parabola. The graph of the function is increasing at one side of the axis and decreases at other side of the axis. Clearly it shows change in time in years does not give maximum total return on investment.  

Exponential function f(x) = a. bˣ +q                                    

The exponential function is decreasing when a < 0 and 0 ≤ b < 1. Then the function f(x) is decreasing exponential function. Clearly it shows time goes, total return on investment is not maximum. The exponential function is increasing when a > 0 and b > 1. Then the function f(x) is increasing exponential function. Clearly it shows time goes, total return on investment is maximum.

Hence, the exponential function is increasing when time goes and the total return on investment.

Learn more about exponential function here

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Answer 5, 6 , and 7 by today please.

Answers

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

   b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB  Reflexive property

    ∠3 = ∠5, ∠4 = ∠6  Alt. int. angles

    ΔADB = ΔCDB   ASA

7. AB = BC Def. of midpoint

   ∠1 = ∠2 Given

   ∠BAE = ∠CBD Corresponding angles

   ΔBAE = ΔCBD ASA

    ∠D = ∠E CPCTC

Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.

Answers

Answer:

The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

Please help me with my question!!

Answers

Answer:

14 ornaments.

Step-by-step explanation:

To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:

Begin by converting '3 1/2' to an improper fraction.

3 1/2 = [tex]\frac{7}{2}[/tex]

Divide '1/4' from the total amount by multiplying by the reciprocal.

[tex]\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14[/tex]

Therefore, the students can make 14 ornaments.

You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the
probability of drawing a 2. then a face card (King, Queen, or Jack)?
Leave your answer in decimal form to 4 decimal places.

Answers

Answer:

Dear student,

Answer to your query is provided below

Probability of drawing a 2 at first is (4/52) = (1/13)

Probability of drawing a face card in second try without replacement = 12/51

Step-by-step explanation:

Total no. Of cards = 52

Total no. Of cards of 2 = 4

Prob. Of drawing 2 = 4/52

Total no. Of face card = 12

Total no.of cards left in deck = 51

Prob. Of drawing face card = 12/51

The sides of a polygon have lengths 5, 7, 8, 11, and 19 units. The perimeter of a similar polygon is 75 units. Find the lengths of the sides of the larger polygon

Answers

jfkfkckkdmfkvkkvfjdjfjf

The perimeter of small polygon is 50 units. The length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.

What is polygon?

Polygon in geometry is "any closed curve consisting of set line segments connected such that two segment across".

According to the question,

Lengths of sides of polygon is 5 units, 7 units, 8 units, 11 units, and 19 units.

Formula for Polygon = sum of sides

Perimeter of first polygon =  5 + 7 + 8 + 11 +19

                                           =  50 units.

Perimeter of second polygon = 75 units.

Divide second polygon by first polygon =  75/50 = 1.5 units

This conclude, second polygon is  1.5 units larger than first polygon.

In order to find the length of the sides of  larger polygon by given, first polygon and second polygon are similar polygon multiply 1.5 units to the  length sides of first Polygon.

5 * 1.5 = 7.5

7 * 1.5 = 10.5

8 * 1.5 = 12

11 * 1.5 = 16.5

19 * 1.5 =  28.5

Hence, the length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.

Learn more about Polygon here

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What is the solution to the linear system y=-5x-21 and y=7x+15

Answers

Answer:

(-3,-6)

Step-by-step explanation:

Compair, then solve for x=-3

then solve you should get y=-6

Answer:

(-3, -6).

Step-by-step explanation:

Since both expressions in x are equal to y:

-5x - 21 = 7x + 15

-12x = 36

x = -3.

Plug x = -3 into the first equation:

y = -5*-3 -21  

= 15 - 21

y = -6.

y =

Find the perimeter of a rectangle whose length is (4a+b)cm and width (a+6)cm​

Answers

Answer:

P = 10a +2b+12

Step-by-step explanation:

P = 2 (l+w) for a rectangle

P = 2 ( 4a+b + a+6)

Combine like terms

P = 2(5a+b+6)

Distribute

P = 10a +2b+12

Answer:

Given below

Hope it helps

Step-by-step explanation:

Perimeter= 2(l+b)

= 2(4a+b+a+6)

= 2(5a+b+6)

= 10a+2b+12 cm^2

Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-intercept of the line as follows. 15 x minus 14 y = - 2. 15 x minus 4 y minus 15 x = - 2 minus 15 x. - 4 y = -2 minus 15 x. - 4 y Over - 4= - 2 minus 15 x Over - 4 Y = - 2 Over -4 minus 15 x Over - 4 . y = one-half minus 15 Over 4 x. y = - 15 Over 4x + one-half. slope = -15 Over 4. y-intercept = one-half. What was her mistake? She mixed up the slope and the y-intercept. She got the sign of the slope wrong. She got the sign of the y-intercept wrong. She found the reciprocals of the slope and the y-intercept.

Answers

Answer:

B. She got the sign of the slope wrong.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B

Step-by-step explanation:

She got the sign of the slope wrong.

What increase the probability of something happening?

Answers

Answer:

Repeating the activity or just waiting for it to happen.

Step-by-step explanation:

I did not really understand but I tried my best.

Which polynomial is written in descending order of the powers of the variable?
A. -2x^3+6x^2-9x+5
B. 5-9x+6x^2-2x^3
C. 5+6x^2-9x-2x^3
D. -2x^3+5+6x^2-9x^2-9x

Answers

Step-by-step explanation:

Descending means from highest to lowest values, so look for the one that goes in order counting down.

Option A is going down all the way unlike any of the other answers, so A is the correct option.

Answer:

A. [tex]-2x^3+6x^2-9x+5[/tex]

Evaluate x ÷ y for x = 3 and y = 12. Your answer: A. 0.25 B. 4 C. 9 D. 36

Answers

Answer:

B or D

Step-by-step explanation:

best bet is B

Answer:4

Step-by-step explanation:

Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1

Answers

Answer:

n= 4725 /1024

Step-by-step explanation:

NEED ANSWERS QUICK, I WILL GIVE BRAINLIEST 1.According to the following image, what is the length of
AB, 2. solve for X

Answers

Answer:

the length of ab is 8

x=3

Step-by-step explanation:

Which is the equation in slope-intercept form of a line that contains points D and E?

Answers

Answer:

y=1x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 2-4 over 2-4 and it equals 1

hope this helps:)

(2^8 • 5^negative5 • 19^0) • (5^negative2 / 2^3)^4 • 2^38

i need steps shown and a simplified answer please!​

Answers

Answer:

6.872* 10^17

Step-by-step explanation:

(2^(8) * 5^(5) * 19^(0)) * ((5^(2))/(2^(3)) ) * 2^(38)

you add the exponent of the same number because it is multiplication

for number two 2 : 8+38=46

for division you subtract the exponents : 46-3=43

and for number 5 : 5+2=7

for 19^0=1

2^43*5^7=6.872*10^17

Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?

Answers

Answer: 28

Step-by-step explanation:

times 4 and 7 seven and get your answer

the answer is 28:)

7x4=28

Given the regular octagon, what is the length of any side?

Answers

Answer:110

Step-by-step explanation:x^2+17x=15x+35

x^2+17x-15x-35=0

x^2+2x-35=0

delta=2^2-4*1*(-35)=4+140=144

x1=(-2+V144)/2=(-2+12)/2=10/2

x=5

so 15*5+35=75+35=110

Answer:

110

Step-by-step explanation:

In a regular polygon, each side has the same length.

Therefore we have the equation:

[tex]x^2+17x=15x+35[/tex]

We must specify the domain:

[tex]x^2+17x>0\ \wedge\ 15x+35>0\\\\x(x+17)>0\ \wedge\ 15x>-35\\\\(x<-17\ \vee\ x>0)\ \wedge\ x>-\dfrac{7}{3}\Rightarrow x>0[/tex]

[tex]x^2+17x=15x+35\qquad\text{subtract}\ 15x\ \text{from both sides}\\\\x^2+17x-15x=15x-15x+35\\\\x^2+2x=35\qquad\text{add 1 to both sides}\\\\x^2+2x+1=35+1\\\\x^2+2(x)(1)+1^2=36\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1)^2=36\to x+1=\pm\sqrt{36}\\\\x+1=\pm6\qquad\text{subtract 1 from both sides}\\\\x+1-1=\pm6-1\\\\x=-7\ \vee\ x=5[/tex]

[tex]x<-7\notin\text{domain};\ x=5\in\text{domain}[/tex]

The length of a side:

[tex]x^2+17x=5^2+17(5)=25+85=110\\\\15x+35=15(5)+35=75+35=110[/tex]

at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?

Answers

Answer:

About $5.33

Step-by-step explanation:

If u want to find out How many dollars per hour u do 48 divided by 9

Hope this helps

just the red triangle use the Phytogram theorem please :(​

Answers

The missing side is 10.770033

Explanation: The formula for the triangle is A^2 + B^2 = C^2. So plugging that into this equation is 10^2 + 4^ = C^2, making it 116 = C^2, square root both sides and it equals 10.770033.

Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?

Answers

Answer:

The number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Step-by-step explanation:

The question is:

If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?

Solution:

1 Terabyte = 8000 Gigabits

Then 1.5 Terabytes in Gigabits is:

1.5 Terabytes = (8000 × 1.5) Gigabits

                      = 12000 Gigabits

One key is of 32 Gigabits.

Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

[tex]\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375[/tex]

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Help for brainliest answer

Answers

Step-by-step explanation:

SA=ph+2A, that is, perimeter × height+ twice area

p=21+20+29=70cm

h=22cm

70×22=1540cm

A=1/2 ×20×21=210×2=420

1540+420=1960cm2

Please answer this correctly

Answers

Answer:

4:45p.m

Step-by-step explanation:

40+40+35

divide by 60

you round to get 1hour and 50min

add it to 3:05

Answer:

5:00 PM

Step-by-step explanation:

She got home at 3:05 PM

--> played video games for 40 mins --> 3:45 PM

--> cleaned the kitchen 40 mins --> 4:25 PM

--> Actuall HW 35 ins --> 5:00 PM

5:00 PM

Find the number missing from the following equivalent fractions:4/11= ?/66

Answers

Answer:

24

Step-by-step explanation:

whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.

If 11 is multiplied by 6 to give 66.

then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.

Hope this helps. Good Luck

The missing number is 24.

please see the attached picture for full solution

Hope this helps..

Good luck on your assignment..

What is the diameter of a circle with a radius of 9.5 cm ?

Answers

Answer:

9.5(2) = 19 is the diameter

Step-by-step explanation:

Answer:

19 cm

Step-by-step explanation:

Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm

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