MATHEMATICS HIGH SCHOOL

Find the slope of the line that passes through:
(-2,-5) and (8, -11)

Answers

Answer 1
Answer:

Answer:

Slope=  (-3)/(5)

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\n\n=(-11-[-5])/(8-[-2])\n\n=(-11+5)/(8+2)\n\n=(-6)/(10)\n\n=(-3)/(5)

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HELPP!!! WILL GIVE BRAINLIEST AND 5 STARS!!!
The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?
Divide 3.7÷0.006 round the answer the nearest hundredth?
Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec. For how long can Pattie stay ahead of Keith? Write and solve an inequality and show your work. Plz Help!
Please help 20 points

If x= 1/2-√3 , prove that x³-2x²-7x+5=3

Answers

x=(1)/(2)-\sqrt3\n\nx^3-2x^2-7x+5=3\n\n((1)/(2)-\sqrt3)^3-2((1)/(2)-\sqrt3)^2-7((1)/(2)-\sqrt3)+5\n\n=((1)/(2))^3-3\cdot((1)/(2))^2\cdto\sqrt3+3\cdot(1)/(2)\cdot(\sqrt3)^2-(\sqrt3)^3-...\n\n...-2[((1)/(2))^2-2\cdot(1)/(2)\cdot\sqrt3+(\sqrt3)^2]-(7)/(2)+7\sqrt3+5

=(1)/(8)-(3\sqrt3)/(4)+(9)/(2)-3\sqrt3-2((1)/(4)-\sqrt3+3)-(7)/(2)+7\sqrt3+5\n\n=(1)/(8)+(9)/(2)-(1)/(2)-6-(7)/(2)+5-(3)/(4)\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\n\n=(1)/(8)+(1)/(2)-1+5(1)/(4)\sqrt3=(1)/(8)-(1)/(2)+5(1)/(4)\sqrt3=(1)/(8)-(4)/(8)+5(1)/(4)\sqrt3\n\n=-(3)/(8)+5(1)/(4)\sqrt3\neq3

So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.

Answers

The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles

The time required is 12 hours

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance of the aircraft be = x

Let the total time taken by the aircraft be = y

Let the constant of proportionality be k

when x = 1 ,

y = 490

So , the equation will be y = kx

Substituting the values in the equation , we get

y = 490x

when x = 2

y = 490 ( 2 )

y = 980

Now , the time taken by aircraft to travel 5,880 miles is

Substitute the value of y as 5880 in the equation , we get

5880 = 490x

Divide by 490 on both sides of the equation , we get

x = 5880 / 490

x = 12

Therefore , the time taken is 12 hours

Hence , the constant of proportionality is 490

To learn more about proportion click :

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Answer:

The constant of proportionality is 490

The jet will take 12 hours to travel 5,880 miles

Step-by-step explanation: The miles multiply by 490 each time.

490 x 12 is 5,880

How much would $100 invested at 8% interest compounded continuously be worth after 15 years?

Answers

The correct formula to use for continuous compounding is:
A=Pe^(rt)
where the exponential number e is the base of natural logarithms.
A=100* e^{(0.08*15)=332.01
So the amount after 15 years is $332.01

Answer:

$332.01 is correct via a p e x

Step-by-step explanation:

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Answers

For this case we have the following inequality:

-4 (3 - 5x) \geq-6x + 9

To solve the inequality, we have as a first step to apply the distributive property on the left side of the inequality.

We have then:

Rewriting we have:

Then, the following steps will only be mentioned:


1) Group variable terms on the left side of the inequality


2) Group constant terms on the right side of the inequality


3) Add the variable terms


4) Add the constant terms


5) Clear the value of x.


Answer:

a correct first step in solving the inequality is:

Distributive property:

-12+ 20x \geq -6x + 9

[OU.03]The table below shows the initial masses of four stars.Name of Star Star 1 Star 2 Star 3 Star 4
Initial mass of star (in Solar mass) 9 0.9 5 0.3

Which of these best shows the stars in the increasing order of the time for which they will stay on the main sequence?

Answers

Answer:  Star 1> Star 3 >Star 2> Star 4

Step-by-step explanation:

Since according to the given table ,

Mass of star 1 = 9 unit

Mass of star 2 = 0.9 unit

Mass of star 3 = 5 unit

Mass of star 4 = 0.3 unit.

Since mass is directly proportional to the time. ( E= m c^2)

Here, 9 unit  > 5 unit  > 0.9 unit  > 0.3 unit ( order of masses)

Therefore sequence of the stars according to their increasing order of their time.

Star 1> Star 3 >Star 2> Star 4
Choices:
Star 1, Star 2, Star 3, Star 4
Star 1, Star 3, Star 2, Star 4
Star 4, Star 3, Star 2, Star 1
Star 4, Star 2, Star 3, Star 1

My answer would be: Star 4(0.3), Star 2(0.9), Star 3(5), Star 1(9)

The area of a rug is 36 one fourth square feet. The rug is 8 three fourths feet long. What is the length of the rug

Answers

Given: 

Area = 36 1/4 = 36.25 ft^2
Length = 8 3/4 = 8.75 ft

Unless this is a trick question, where the length can be found in the given values of the problem (where the answer would simply be L = 8.75ft), let us solve for the missing measurement, which is the width. A rug is rectangular, so to obtain the width, the area must be divided by the length. This is shown below:

Width = Area / Length
Width = 36.25 / 8.75
Width = 4.14 ft.
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