What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28)

Answer:

the answer is-1<=x<7.

Step-by-step explanation:

let us replace <= and < sign by equal to(=)

when we do it we get,

-6x +14 = -28 and ex + 28 =25

when we solve them we get,

x=-1 and x= 25 respectively from 1st and 2nd question. so, -1<=x<7 is answer...

hope it will help uh...

Answer:

6, 10, 8 is the correct answer.

Step-by-step explanation:

Given that, the recursive function:

[tex]a_n=a_{n-1}-(a_{n-2}-4)[/tex]

6th term, [tex]a_{6} =0[/tex]

5th term, [tex]a_{5} =-2[/tex]

To find:

First three terms of the sequence = ?

Solution:

Putting n = 6 in the recursive function:

[tex]a_6=a_{5}-(a_{4}-4)\\\Rightarrow 0=-2-(a_{4}-4)\\\Rightarrow 2=-(a_{4}-4)\\\Rightarrow -2=(a_{4}-4)\\\Rightarrow -2+4=a_{4}\\\Rightarrow a_{4}=2[/tex]

Putting n = 5 in the recursive function:

[tex]a_5=a_{4}-(a_{3}-4)\\\Rightarrow -2=2-(a_{3}-4)\\\Rightarrow -2-2=-(a_{3}-4)\\\Rightarrow 4=(a_{3}-4)\\\Rightarrow a_{3}=8[/tex]

Putting n = 4 in the recursive function:

[tex]a_4=a_{3}-(a_{2}-4)\\\Rightarrow 2=8-(a_{2}-4)\\\Rightarrow 2-8=-(a_{2}-4)\\\Rightarrow 6=(a_{2}-4)\\\Rightarrow a_{2}=10[/tex]

Putting n = 3 in the recursive function:

[tex]a_3=a_{2}-(a_{1}-4)\\\Rightarrow 8=10-(a_{1}-4)\\\Rightarrow 8-10=-(a_{1}-4)\\\Rightarrow -2=-(a_{1}-4)\\\Rightarrow 2=a_{1}-4\\\Rightarrow a_{1}=4+2\\\Rightarrow a_{1}=6[/tex]

So, first, second and third terms are 6, 10, 8.

Answer:

.84

Step-by-step explanation:

The probability that a worker chosen at random works at least 8 hours is 0.84.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

From the given graph,

Probability of 6 hours = 0.02

Probability of 7 hours = 0.11

Probability of 8 hours = 0.61

Probability of 9 hours = 0.15

Probability of 10 hours = 0.08

The probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) = 0.84

Therefore, the probability that a worker chosen at random works at least 8 hours is 0.84.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

Answer:

Time = distance/speed

max distance = 380+10 = 390 m

Max Time = 390/3.9 = 100 s

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

Answer:

A - 5w

Step-by-step explanation:

I don't know how to explain it

TOP GUY MADE A VERY FUNNY JOKE LOL

Answer:

Not True

Step-by-step explanation:

>_<

[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]

Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

Answer:

8-in of snow each day

Step-by-step explanation:

Answer:

8 inches of snow each day

Step-by-step explanation:

hope this helps :)

X is equal to 28

Hope this helps......

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Answer:

B.12.32

Step-by-step explanation:

From the first information we can write :

3y-x=2

from the second one :

2y+2x= 92

so our equation are :

Multiply the first one by 2 then add it to the second one to get rid of x :

Answer:

151,200

Step-by-step explanation:

The possible set of numbers will be 151200  

A permutation is an arrangement of objects in a definite order.

Given that, John want to find his bicycle's number, so he decided to write down all the possible 6-digit numbers from 0 to 9.

Here, we will use permutation to find the possible numbers,

Formula =

ⁿPₓ = n! / (n-x)!

Therefore,

¹⁰P₆ = 10! / (10-6)!

= 10! / 4!

= 10 × 9 × 8 × 7 × 6 × 5 = 151200

Hence, the possible set of numbers will be 151200  

Learn more about permutation, click;

https://brainly.com/question/1216161

#SPJ2

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution

Step-by-step explanation:

Examine the system

2 x + 8 y = 15

4 x + 16 y = 30

We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.

Next, look at the system

2 x minus y = 18

4 x + 2 y = 38

If we divide the second equation by 2, we get the system

2x - y = 18

2x + y = 19

Combining these two equations, we get 4x = 37, which has a solution.

Third, analyze the system

4 x + 7 y = 17                =>  8x + 14y = 34

8 x minus 14 y = 36      => 8x - 14y  = 36, or 16x = 70, which has a solution

Finally, analyze the system

4 x minus 3 y = 16    => -8x + 6y = -32

8 x minus 6 y = 34   =>  8x  - 6y  = 34

If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible.  This system has no solution.

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation:

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

Answer:

(44 - 8(pi)) cm^2    Exact area

18,9 cm^2    Approximate area

Step-by-step explanation:

The shaded area is the area of the trapezoid minus the area of the semicircle.

area of trapezoid = (b1 + b2)h/2

area of semicircle = (pi)(r^2)/2

The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.

b1 = lower base = 14 cm

b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm

shaded area = (b1 + b2)h/2 - (pi)(r^2)/2

= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2

= 44 cm^2 - 8(pi) cm^2

= (44 - 8(pi)) cm^2    Exact area

= 18.9 cm^2    Approximate area

Answer:

£228.

Step-by-step explanation:

We know that each tile is 20 cm by 20 cm, which works out to be an area of 400 square cm.

The floor is 3 m by 5 m, which means it is 300 cm by 500 cm. 300 * 500 = 150000 square cm in area.

To find how many tiles are necessary, we need to find out the area of the floor divided by the area of the individual tiles.

150,000 / 400 = 1,500 / 4 = 750 / 2 = 375

So, to cover the floor, you will need 375 tiles.

Since tiles come in boxes of 10, you will need to find what is 375 divided by 10 so you can know how many boxes to buy.

375 / 10 = 37.5

Since you absolutely NEED 375 tiles to cover the floor, you need that half of a box, so you will buy 38 boxes of tiles.

Each box costs £6. 38 * £6 = £228. And that is your total cost!

Hope this helps!

Answer:

3.14 square cm

Step-by-step explanation:

Since, a coin is circular in shape, hence its area would be equal to the area of a circle.

[tex]\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ [/tex]

Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]

[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]

Their speed is 32 km/h.

Answer:

-27p^2 q^2 +6p^3 -2p^4 -q^3

Step-by-step explanation:

COMBINE LIKE TERMS

Answer: 536,000

Step-by-step explanation:

Answer:

536 000

Step-by-step explanation:

because it izz what it izz

Answer:

I think the answer is it stretches the graph horizontally by a factor of 3.

Step-by-step explanation:

Answer: it stretches the graph horizontally by a factor of 3

Step-by-step explanation: I got it correct on a-pex

Answer:

Step-by-step explanation:

You have all your x values to the left. Just take 2 and multiply one by one.

Then in order to graph it, you would take (x,y) and plot it.

For example:

y=2x

y=2(5) = 10

(5,10) - you would plot this on the graph.

1. y = 2x

x | y = 2x | y

5 | y = 2(5) | 10

3 | y = 2(3) | 6

0 | y = 2(0) | 0

-1 | y = 2(-1) | -2

-5 | y = 2(-5) | -10

2. y = 1 + 5x

x | y = 1 + 5x | y

-2 | y = 1 + 5(-2) | -9

-1 | y = 1 + 5(-1) | -4

0 | y = 1 + 5(0) | 1

2 | y = 1 + 5(2) | 11

Answer:

y = -5x

Step-by-step explanation:

Which of the following linear equations passes through points (-1, 5) and (1, -5)?

y = -5x

y = 5x + 10

y = -2x + 3

None of these choices are correct.

Solution:

First find slope of equation:

slope, m = (y2-y1) / (x2-x1) = (5-(-5) / (-1-1) = 10/(-2) = -5

Now substitute m in the point slope form to find the y-intercept b

y-y1 = m(x-x1)

y-5 =  5(x- -1)

y = -5(x+1) + 5

y = -5x  

Answer:

30.

Step-by-step explanation:

The initial value is the value that she starts out with.  This means that she is referring to year 0.  According to the chart, on year 0, she collected 30 shells.

The answer is 30.

This is not the complete question, the complete question is:

Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y

A) 0

B) 33

C) 296

D) 303

E) 533

Answer: B) 33

Step-by-step explanation:

First lets say;

z: automobile claim amounts

x: the claim amount dived by 1000

y: x rounded to the nearest integer from 0 to 10

z ≅  V[0, 10,000]

x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10

y =  {0,     0 ≤ x < 0.5

       1,       0.5 ≤ x < 1.5

       2,       1.5 ≤ x < 2.5

       3,       2.5 ≤ x < 3.5

        ↓

       9,        8.5 ≤ x < 9.5

       10,       9.5 ≤ x < 10

SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ

                                 = 1/10 (x⁵ / 5)₀¹⁰

                                  = 10⁵ / (10 * 5)

                                  = 100000/50

                                   = 2000

Now

4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)

                             = 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)

                             = 0 + 1⁴.p( 0.5 ≤ x < 1.5) +  2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )

                   = 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]

                   = 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3

now the absolute difference will be

AD = ║E(x⁴) - E(y⁴)║

     = ║ 2000 - 2033.3║

     = 33.3 ≈ 33

Answer:

x ≥ -8/3

Step-by-step explanation:

=> [tex]\frac{3x+8}{x-4} \geq 0[/tex]

Multiplying both sides by (x-4)

=> 3x+8 ≥ 0

Subtracting 8 to both sides

=> 3x ≥ -8

Dividing both sides by 3

=> x ≥ -8/3

Answer:

[tex]x\le \:-\frac{8}{3}[/tex]

[tex]x>4[/tex]

Step-by-step explanation:

[tex]\frac{3x+8}{x-4}\ge \:0[/tex]

Multiply both sides by (x - 4).

[tex]\frac{3x+8}{x-4} (x-4) \ge \:0(x-4)[/tex]

[tex]3x+8\leq \:0[/tex]

[tex]3x+8-8\leq \:0-8[/tex]

[tex]3x \leq \:-8[/tex]

[tex]x\le \:-\frac{8}{3}[/tex]

Makes denominator equal to 0.

[tex]x-4=0[/tex]

[tex]x = 4[/tex]

[tex]-8/3 \leq x<4[/tex]  doesn't work in the original inequality.

[tex]x>4[/tex]  works in the original inequality.