To make it more easier for everyone, it's on Khan Academy and this problem is in Algebra 1 to be specific. Solve for x.
3x−8≤23 AND −4x+26≥6
Choose 1 answer:
A: x ≤ 31/3
B: x ≤ 5
C: 5 ≤ x ≤ 31/3
D: There are no solutions
E: All values of x are solutions

Answers

Answer 1

Answer:

B: x≤5

Step-by-step explanation:

Hi there!

We're given two inequalities; 3x−8≤23  and −4x+26≥6

We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)

First, let's solve for x in both of them

taking the first inequality:

3x−8≤23  

add 8 to both sides

3x≤31

divide by 3

x≤31/3

now solve for x in −4x+26≥6

subtract 26 from both sides

-4x≥-20

divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number

x≤5

now let's graph these two inequalities to find the intersection, and that is below with the answer

Hope this helps! :)

To Make It More Easier For Everyone, It's On Khan Academy And This Problem Is In Algebra 1 To Be Specific.

Related Questions

a train is moving at a speed of 50 kilometers per hour. how long will it take to cover a distance of 550 kilometers?​

Answers

Answer:

11 hours

Step-by-step explanation:

550 kilometers/50 kph = 11

Can y’all help me on question 24?!

Answers

Answer:

C

Step-by-step explanation:

:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D

Answer:

b

helpful answer to your question

For the sequence an = an-1 + an-2 and ai = 2, a2 = 3,
its first term is
its second term is
its third term is
its fourth term is
its fifth term is

Answers

Answer:

[tex]a_1 = 2[/tex]

[tex]a_2 = 3[/tex]

[tex]a_3 = 5[/tex]

[tex]a_4 = 8[/tex]

[tex]a_5 = 13[/tex]

Step-by-step explanation:

Given

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_1 = 2[/tex]

[tex]a_2 = 3[/tex]

Solving (a): The first term

This has already been given as:

[tex]a_1 = 2[/tex]

Solving (b): The second term

This has already been given as:

[tex]a_2 = 3[/tex]

Solving (c): The third term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_3 = a_{3-1} +a_{3-2}[/tex]

[tex]a_3 = a_2 +a_1[/tex]

[tex]a_3 = 3 +2[/tex]

[tex]a_3 = 5[/tex]

Solving (d): The fourth term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_4 = a_{4-1} +a_{4-2}[/tex]

[tex]a_4 = a_3 +a_2[/tex]

[tex]a_4 = 5+3[/tex]

[tex]a_4 = 8[/tex]

Solving (e): The fifth term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_5 = a_{5-1} +a_{5-2}[/tex]

[tex]a_5 = a_4 +a_3[/tex]

[tex]a_5 = 8+5[/tex]

[tex]a_5 = 13[/tex]

A rectangular field is two times as long as it is wide. If the perimeter of the field is 390 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is ______________ (Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field. The width of the field is _________ feet. The length of the field is _________ feet.

Answers

Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

please help
no links please

Answers

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

What is the fraction to this picture?

Answers

The fraction is 2/6
This is because there are 6 total sections in the shape (6 becomes denominator) and 2 colored in sections (2 becomes the numerator)

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME OUT THIS I DO ANYTHING JUST HELP AND SHOW YOUR WORK

Task #1 Creating A Table Task

Create a table of x and y values that represents a proportional relationship.



a) Explain how you know the relationship is proportional.

b) What equation models the values in the table?

2) Create a table of x and y values that represents a linear, non-proportional relationship.




a) Explain how you know the relationship is non-proportional.

b) What equation models the values in the table?

Answers

Answer:

sis

Step-by-step explanation:

A privately owned lake contains two types of game fish, bass and trout. The owner provides two types of food, A and B, for these fish. Bass require 2 units of food A and 4 units of food B,
and trout require 5 units of food A and 2 units of food B. If the owner has 400 units of each food, find the maximum number of fish the lake can support.
fish
Need Help?
Read
Watch it

Answers

Answer:

133 fishes

Step-by-step explanation:

Units of food A = 400 units

Units of food B = 400 units

Fish Bass required 2 units of A and 4 units of B.

Fish Trout requires 5 units of A and 2 units of B.

i. For food A,

total units of food A required = 2 + 5

                                                 = 7 units

number of bass and trout that would consume food A = 2 x [tex]\frac{400}{7}[/tex]

                                               = 114.3

number of bass and trout that would consume food A = 114

ii. For food B,

total units of food B required = 4 + 2

                                                = 6 units

number of bass and trout that would consume food B = 2 x [tex]\frac{400}{6}[/tex]

                                                 = 133.3

number of bass and trout that would consume food B = 133

Thus, the maximum number of fish that the lake can support is 133.

Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]

Answers

A [2 -62] is the correct answer

A storage container in the shape of a square-based prism has a volume of 120 ft. If the sides of the square base are 4 ft in length, determine the height of the container.​

Answers

9514 1404 393

Answer:

  22.5 ft

Step-by-step explanation:

The volume of a square base prism is given by the formula ...

  V = 1/3s²h

Then the height can be found to be ...

  h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft

The height of the container is 22.5 feet.

simplify the square root of 11.

Answers

Answer:

3.316

Step-by-step explanation:

5. In the diagram shown below, BC is drawn tangent
to circle OA, and BD is a chord in that circle. If
mBD = 144º, what is mZCBD?
8
(1) 36
(2) 72
(3) 1440
(4) 180°
please help!!!

Answers

9514 1404 393

Answer:

 (2)  72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

  ∠CBD = (arc BD)/2 = 144°/2

  ∠CBD = 72°

__

Additional comment

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

Which values are solutions to the inequality below? Check all that apply.
x < 64
O A. 9
11
B. 66
C. 64
D. 6
E. 8
F. no solutions

Answers

X has to be less than 64 so it’s A,D,and E

6x+3y=24

3x-4y=-21
What is the solution of system of equations

Answers

Answer:

i don't know if it is correct or not, sorry if i were mistaken

The value of x and y for the given system of equations is 1 and 6 respectively.

What is system of equations?

A system of equations is a collection of two or more equations with a same set of unknown variables.

What is solution to the system of equation?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

What is substitution method?

The substitution method is a method to solve simultaneous linear equations. In which the value of one variable from one equation is substituted in the other equation.

According to the given question

we have a system of equations

[tex]6x + 3y = 24..(i)[/tex]

and, [tex]3x -4y = -21..(ii)[/tex]

From equation (i)

[tex]6x + 3y = 24[/tex]

⇒ [tex]2x + y = 8[/tex]

⇒ [tex]y = 8-2x[/tex]

Substitute the value of y in equation (ii)

⇒[tex]3x - 4(8-2x)=-21[/tex]

⇒[tex]3x-32+8x =-21[/tex]

⇒[tex]11x = 32-21[/tex]

⇒[tex]11x = 11[/tex]

⇒ [tex]x =1[/tex]

Substitute, x = 1 in either the equations (i) and (ii)

⇒[tex]3(1)-4y =-21[/tex]

⇒[tex]3 -4y=-21[/tex]

⇒[tex]-4y = -21-3[/tex]

⇒-4y = -24

⇒[tex]y =6[/tex]

Hence, the value of x and y for the given system of equations is 1 and 6 respectively.

Learn more about the substitution method here:

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A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. What is the probability that fewer than 11 of them will vote

Answers

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that [tex]p = 0.7[/tex]

20 eligible voters were randomly selected from the population of all eligible voters.

This means that [tex]n = 20[/tex]

What is the probability that fewer than 11 of them will vote?

This is:

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308[/tex]

[tex]P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120[/tex]

[tex]P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039[/tex]

[tex]P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010[/tex]

[tex]P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002[/tex]

[tex]P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0[/tex]

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479[/tex]

0.0479 = 4.79% probability that fewer than 11 of them will vote

Can y’all help me on question 28?!

Answers

Answer:

C. It the correct answer

i’m pretty sure c is the answer :))

The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.

Which statement is true?

1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.

2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.

3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.

4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.

Answers

Answer:

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3

Step-by-step explanation:

edg2020 thank me latter

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

We have,

The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.

To compare the growth rates of the two functions, we can look at their derivatives.

The derivative of y = 7x is 7, which is a constant, while the derivative of

y = 7% is y' = 0.07y, which is proportional to y.

Now,

For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.

This eliminates options 1 and 3.

For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.

This eliminates option 2.

Thus,

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

Learn more about functions here:

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Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.

Answers

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

simplify the expression

Answers

Answer:

The answer is C.

Step-by-step explanation:

Multiplying the exponents is adding them together.

Answer:

x^8

Step-by-step explanation:

Multiply the terms with the same base by adding their expondents

x^6+2^2

add the numbers 6+2= 8

10 - 5 2/3 = ? i need this for math

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]4 \frac{1}{3} [/tex] ✅

Step-by-step explanation:

[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Translate to an algebraic expression.

The difference of five times a number and two

Answers

Algebraic expression: 5n-2

I can't find the surface area lol
n=3.14​

Answers

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

Determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!! Show work please. Part 3c​

Answers

Answer:

7.  Not enough information to determine congruency

8.congreunt by AAS

Step-by-step explanation:

7.  We know one side and the vertical angles between the triangles.  That is not enough to determine the triangles are congruent

8.  We know one angle and one side are congruent.  The angle between are vertical angles and they are congruent.    We know two angles and one side, so they are congruent by AAS

A farmer finds that if she plants 55 trees per acre, each tree will yield 25 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest

Answers

Answer:

31 trees per acre will maximize the harvest

Step-by-step explanation:

Given

[tex]Plant \to 55[/tex] trees/acre

[tex]Yield \to 25[/tex] bushels

[tex]x \to trees[/tex]

Required

Number of trees to maximize harvest

From the question, we understand that:

Yield will decrease by 4 i.e. 25 - 4x

For every additional tree planted, i.e. 55 + x

So, the function is:

[tex]F(x) = (25- 4x)*(55+x)[/tex]

Open bracket

[tex]F(x) = 25 * 55 -4x * 55 + 25 * x -4x*x[/tex]

[tex]F(x) = 1375 - 220x + 25x -4x^2[/tex]

[tex]F(x) = 1375 -195x -4x^2[/tex]

Rewrite as:

[tex]F(x) = -4x^2 -195x +1375[/tex]

The maximum of a quadratic function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In the above equation:

[tex]a = -4; b =-195; c = 1375[/tex]

So:

[tex]x = -\frac{-195}{2 * -4}[/tex]

[tex]x = -\frac{195}{8}[/tex]

[tex]x = -24.375[/tex]

Recall that the number of trees to be planted is: 55 + x

So, we have:

[tex]Trees = 55+x[/tex]

[tex]Trees = 55-24.375[/tex]

[tex]Trees = 30.625[/tex]

Approximate

[tex]Trees = 31[/tex]

please help show work

Answers

9514 1404 393

Answer:

  $3,669.23

Step-by-step explanation:

If withdrawals are at the end of the month, the amortization formula works for this, too.

  A = P(r/12)/(1 -(1 +r/12)^(-12t)

where P is the principal invested at rate r for t years.

  A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23

Beth can withdraw a monthly payment of $3,669.23 for 20 years.

_____

If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.

Suppose that, out of a group of 100 UF students, 90 are from Florida. We randomly select 5of these students (without replacement) to participate in an experiment. LetXdenote thenumber of students selected who are from Florida.

Required:
a. Find E[X].
b. Find P(X > 4).
c. Now suppose that we instead select 20 of these students. Let Y denote the number of selected students who are from Florida. Find P(Y < 5).

Answers

Step-by-step explanation:

તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર

લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ

buggy’s bugs buggles buuuugles

Answers

nice, have a good day <3

zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compounded quarterly, the loan must be paid off in ten years time. determine the size of zodwas quarterly payments?​

Answers

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change

A. 25% DECREASE

B. 5% DECREASE

C 25% INCREASE

D 5% INCREASE

Answers

Answer:

The awnser should be 5% increase or D

Step-by-step explanation:

This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.

5% increase? 25% increase would be way to high and it’s going up not down so it’s not decreasing:)

Find the width of a cereal box that has a volume of 11,856 cm3 and is 39 cm long and 38 cm high. please help

Answers

Answer: The width is 8cm

Step-by-step explanation:

39x38=1482

11856÷1482 = 8cm

Other Questions
Read the passage from The Odyssey - Teiresias.One narrow strait may take you through his blows:denial of yourself, restraint of shipmates.When you make landfall on Thrinakia firstand quit the violet sea, dark on the landyou'll find the grazing herds of Heliosby whom all things are seen, all speech is known.Avoid those kine, hold fast to your intent,and hard seafaring brings you all to Ithaka.But if you raid the beeves, I see destructionfor ship and crew.Which excerpt from the passage best identifies the conflict that Teiresias predicts as partially a character versus character conflict?A - denial of yourselfB - restraint of shipmatesC - quit the violet seaD - destruction for ship and crew According to the liquidity premium theory of the term structure, A. the interest rate on long-term bonds will equal an average of short-term interest rates that people expect to occur over the life of the long-term bonds plus a liquidity premium. B. buyers of bonds may prefer bonds of one maturity over another, yet interest rates on bonds of different maturities move together over time. C. even with a positive liquidity premium, if future short-term interest rates are expected to fall significantly, then the yield curve will be downward-sloping. D. all of the above. E. only A and B of the above. What elements of imagist style can be identified in the poem "" The pond""? The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie How did vertical intergration allow a business to reduce costs What is the slope of every perpendicular line to y-2/3x=-4 Dis vrai ou faux : a. L'galit n'est pas importante. b. Il faut aider les pauvres. c. Il faut respecter les vieux d. Il faut tre gentil aux malades. Find an example of Personification Please help I have chemistry final What is your attitude towards teaching young children? Please help me how do you confront someone who you know has hurt you without coming off as rude? PLEASE HELP ME WITH THIS ONE QUESTION Given the atomic mass of Boron-9 is 9.0133288 u, what is the nuclear binding energy of Boron-9? (Mproton = 1.0078251, Mneutron = 1.0086649, c^2 = 931.5 eV/u)A) 59 eVB) 58 eVC) 57 eVD) 56 eV Museum Indians - Compare and contrast the personalities of the narrator and her mother. Cite text evidence in your response. 4-2x=22 relationship can be written as The book prompted the federal government to review it's policy on pesticide use, and the use of DDT was banned. Choose the best revision, if one is needed. A) NO CHANGE B) They C) Them D) Its Mention 3 placeswhere you can getpre-approved for acar loan Can someone explain how to do this and add the formula please What is the value of k?? list of hazard in home How did the use of factory machines change life in America? (5 points)