write a system of linear inequalities represented by the graph.

Answer:

y=-4/3x-8/3

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3

y=-4/3x + b

Substituting,

-4=-4/3+b

-12/3+4/3=b

b=-8/3

y=-4/3x-8/3

Answer:

2^3 . 3^5 . 5 . 7^2

Step-by-step explanation:

Find the greatest common factors of
2^4 x 3^5 x 5^3 x 7^2 , 2^3 x 3^6 x 5 x 7^8:

476280

write 476280 as a product of primes:
2^3 . 3^5 . 5 . 7^2

answer: 2^3 . 3^5 . 5 . 7^2

Answer:

  DE ≈ 14.91

Step-by-step explanation:

Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.

The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.

This means you have enough information to use these relations:

  tan(61°) = DF/CF = DF/24

  DF = 24·tan(61°)

and

  tan(19°) = DE/DF

  DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above

  DE ≈ 24(1.804048)(0.344328) ≈ 14.908

The length of DE is about 14.91.

Answer:

y ≤ x + 2

Step-by-step explanation:

treat the symbols as a "=" sign for now

(formula) y = (slope)x + (y-intercept)

slope = 1/1 = 1

y = x + (y intercept)

The y intercept is 2

y = x + 2

The graph goes up, so it is less than, and the line isn't dashes, so it makes it equal to or less than

y is equal to or less than x + 2 or y ≤ x + 2

Answer:

The rounded answer is 11

Step-by-step explanation:

a-squared + b-squared = c-squared
8-squared + 7-squared = c-squared
64 + 49 = c-squared
area-113 (the check mark symbol thing)

Answer:

  (d)  10.63

Step-by-step explanation:

You want the length of the hypotenuse of a right triangle with legs 7 in and 8 in.

The Pythagorean theorem tell you the relationship between legs a, b, and hypotenuse c of a right triangle is ...

  c² = a² +b²

In this figure, this means ...

  x² = 7² +8² = 49 +64 = 113

  x = √113 ≈ 10.63

The length of x is about 10.63.

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Answer:

47

Step-by-step explanation:

The slope for this equation is m=47.

Answer:

x= 7 and -8

Step-by-step explanation:

hope this helps!

i does an experiment where she picks a block out of a bag without looking 50 times, putting it back each time. She picks a green block 32 times. If the bag has 8 blocks, how many do you think are green

Answer:

1/5

Step-by-step explanation:

You need the opposite of 5/1 which would be 1/5

Answer:

30

Step-by-step explanation:

Answer:

There will be 25 Toothpicks in the 5th figure. I know this because as the the figures go up the number of toothpicks go up by one.

Step-by-step explanation:

Hope This Helps

Have A great Day

ll~Zero~ll

Answer:

  see attached

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  distance = speed · time

Stephanie wants her first break before 65 miles, so the time until the break will satisfy the inequality ...

  10t < 65 . . . break before 65 miles

  t < 6.5 . . . . . divide by 10

On a graph, values less than 6.5 will appear shaded to the left of that point. Since 6.5 is not included in the solution set, the dot at that point is an open circle.

Answer:

See below

Step-by-step explanation:

[tex]24b^2+96b\\\\24(b^2+4b)\\\\24b(b+1)[/tex]

Answer:

x = - [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

3(4x - 12) + 3 = 3x - 7 + 12x ← distribute parenthesis and simplify left side

12x - 36 + 3 = 15x - 7

12x - 33 = 15x - 7 ( subtract 15x from both sides )

- 3x - 33 = - 7 ( add 33 to both sides )

- 3x = 26 ( divide both sides by - 3 )

x = - [tex]\frac{26}{3}[/tex]

Answer:

fill the 5l bottle up completely

pour the contents of the 5l bottle into the 3l until completely full

this should leave you with 2 litres in the 5 l bottle

empty out the water in the 3 litre bottle and then pour in the 2 litres

fill the 5 litre up completely and you have 7 litres

Step-by-step explanation:

Answer: 28

Step-by-step explanation:

3 to the power of 3 is 3x3= 9 x3 = 27

27 divided by 3 = 9

9-2 = 7 x 4 = 28

Answer:

[tex]L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

Step-by-step explanation:

Recall the formula for the arc length of a function given a closed interval [tex][a,b][/tex]: [tex]L=\int\limits^b_a {\sqrt{1+(\frac{dy}{dx})^2}} \, dx[/tex]

Given the function [tex]y=\frac{x^2}{16}[/tex], then [tex]\frac{dy}{dx}=\frac{x}{8}[/tex] by the product rule.

Thus, the set-up integral would be:

[tex]L=\int\limits^b_a {\sqrt{1+(\frac{x}{8})^2} } \, dx\\ \\L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

Based on the current population and the rate of decrease, the population in five years will be 81,537 people.

This can be found by the formula:

= Current population x ( 1 - rate) ^ number of years

Solving gives:

= 100,000 x ( 1 - 4%)⁵

= 100,000 x 0.8153726976

= 81,537 people

In conclusion, option B is correct.

Find out more on population growth at https://brainly.com/question/24328512.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) The diagonals of a parallelogram are perpendicular

B) The diagonals of a kite bisect each other

C) A polygon is a quadrilateral

D) Thé diagonals of a rectangle are equal

E) Thé opposite angles of a parallelogram are equal

F) A rhombus is a rectangle

#1

Rhombus has diagonals perpendicular to each other.

#2

#3

#4

#5

#6

All sides of Rhombus are equal where as rectangle has opposite sides equal

Answer:

Jack hit 5

Step-by-step explanation:

Henry hit 3 more so 8 - 3 = 5

Answer:

[tex]sec(\frac{5\pi}{4})=-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sec(\frac{5\pi}{4})\\\\=\frac{1}{cos(\frac{5\pi}{4})}\\ \\=\frac{1}{-\frac{\sqrt{2}}{2}}\\ \\=-\frac{2}{\sqrt{2}}\\ \\=-\frac{2\sqrt{2}}{2}\\ \\=-\sqrt{2}[/tex]

It really helps to use the unit circle for solving these kinds of problems. I've attached one for your convenience. Note that a point on the unit circle, given the angle in radians, is defined as [tex](cos\theta,sin\theta)[/tex].

The correct factor is (2x - 3) and (2x + 3).

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

4x² -9 = 0 is a quadratic equation.

The factor of the given equation.

4x² -9 = 0 is a quadratic equation.

According to factorization,

                 4x² - 9 = 0

             (2x)² - 3² = 0

( 2x - 3 ) ( 2x + 3 ) = 0

Thus the correct factor is (2x - 3) and (2x + 3).

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

The answer is C or the third option.

Step-by-step explanation:

Looking at the tiles for the third option, there are the same amount of negative and positive x-tiles. This means that they cancel each other out. What's left are the 4 x^2 tiles and 9 negative tiles. When put together the equation is 4x^2 - 9. This option represents the factors of 4x^2 - 9 accurately.

Notice that 72 hours is 12 times the half-life of 6 hours. So, the starting amount of 100 mg will decay to half, 12 times. In other words

• after 1 hour, 100 mg decays to 50 mg

• after a total 2 hours, 100 mg decays to 25 mg

• after a total 3 hours, 100 mg decays to 12.5 mg

and so on, so that after a total of 72 hours, the hospital is left with

[tex]\dfrac{100\,\rm mg}{2^{12}} = \boxed{0.0244140625 \, \mathrm{mg}}[/tex]

Answer:

the average height is between 65 and 72 inches

Step-by-step explanation:

Answer:

x=4+5yif sum is increased by 3 (x+y+3), result is 31x+y+3=31minus 3 both sidesx+y=28x=4+5y subsiutute4+5y+y=284+6y=28minus 4 both sides6y=24divide by 6y=4sub backx=4+5yx=4+5(4)x=4+20x=24the numbers are 24 and 4

Step-by-step explanation:

If I helped you

dolphinsproduction on insta

Answer:

29 and 5

Step-by-step explanation:

Given system of equations

[tex]\left \{ {{x=4+5y} \atop {x+y+1=35}} \right.[/tex]

Substitute top equation into bottom equation to determine y

[tex]x+y+1=35\\\\(4+5y)+y+1=35\\\\4+5y+y+1=35\\\\5+6y=35\\\\6y=30\\\\y=5[/tex]

Substitute y=5 into top equation to determine the x-value

[tex]x=4+5y\\\\x=4+5(5)\\\\x=4+25\\\\x=29[/tex]

Therefore, the two numbers are 29 and 5

Ricky's goal is not achievable. This is because selling 36 computers would not yield a profit of at least $10,000.

A profit is earned when total revenue is greater than total cost.

Profit = total revenue - total cost.

Given this function:  p(x)=x^3-22x^2-240x  substitute for x in the equation

(36)^3 - 22(36^2) - (240 x 36)

46,656 - 28,512 - 8640

=$9504

If he sells 36 computers, he would have a profit of $9504 and would not achieve his goal.

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

23 , -6

Step-by-step explanation:

Let the unknown two numbers be x & y.

According to the question,

The sum of 2 numbers is 17 .

x + y = 17 ⇒ (1)

Their difference is 29 .

x - y = 29 ⇒ (2)

First let us find the value of x.

(1)  + (2)

x + y + ( x - y ) = 17 + 29

x + y + x -y = 46

2x = 46

Divide both sides by 2.

x = 23

And now let us find the values of y.

x + y = 17

23 + y = 17

y = 17 - 23

y = -6

There fore, the two numbers are 23 , (-6)

Hope this helps you  :-)

Let me know if you have any other questions :-)

Answer:

  660

Step-by-step explanation:

If n represents the number, we are told ...

  900% × n = 5940

We know that 900% = 900/100 = 9, so this is ...

  9n = 5940

Dividing by the coefficient of n gives ...

  n = 5940/9 = 660

The number is 660.

Answer:

0.8 degrees per hour

Step-by-step explanation:

1 2/5 divided by 1 3/4

7/5 / 7/4

keep, change, flip the fraction

7/5 x 4/7

=4/5= 0.8