Graph the solution to the following system of inequalities. Choose one point in the solution of the system and prove it
mathematically.
2x - 3y<=6
y< -1/2x
Include the graph of the system of inequalities and the proof of the solution.

Answer:

48cm!

Step-by-step explanation:

10 + 6 = 16

16 + 17 = 33 ( 16 + 10 = 26 + 7 =  33)

33 + 15 = 48 (33 + 10 = 43 + 5 = 480

Answer:

  about 60.1 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. The only side length not given is that of the slanted side. It can be considered to be the hypotenuse of a right triangle with legs (15 -10) = 5 cm and (17 -6) = 11 cm. The Pythagorean theorem tells us that hypotenuse has a length of ...

  c² = a² +b²

  c = √(a² +b²) = √((5 cm)² +(11 cm)²) = √146 cm ≈ 12.083 cm

Then the sum of side lengths (CW from bottom left) is ...

   17 cm +10 cm +6 cm +12.1 cm +15 cm = 60.1 cm

The perimeter is about 60.1 cm.

Then minimum size of air conditioner for the room with an assumed length and with of 9 and 7.5 meters respectively is 1687.5 BTU

To determine the size of the air conditioner we need some parameters of the room which are

Assumed Data

Let us find the are of the room

Area = Length*Width

Area = 9*7.5

Area = 67.5 meters square

After getting the area we need to multiply this value by 25BTU to obtain the ample cooling for the room

= 67.5*25

= 1687.5 BTU

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Answer:

Use mathematical skills to acquire the correct answer of 7.

Step-by-step explanation:

Hee hee hee haw.

Answer:

7 is the answer

Step-by-step explanation:

3x + 8 = 29

or, 3x + 8 - 8 = 29 - 8

or, 3x = 21

or, 3x/3 = 21/3

or, x = 7

The function which relates the distance traveled d to the time t as the train travels at a constant speed is,

[tex]f(t)=210t,\\d=210t[/tex]

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is time taken by the body to cover that distance.

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 420 kilometers in 2 hours.

If the train travels 420 kilometers in 2 hours. Then by the above relation, the distance it travel in one hour will be,

[tex]d=\dfrac{420}{2}\\d=210\rm\; km[/tex]

As the train with constant speed travels 210 km per hour. Thus the linear function for this condition can be modeled as,

[tex]s=\dfrac{d}{t}\\210=\dfrac{d}{t}\\d=210t[/tex]

In the function of time,

[tex]f(t)=210t[/tex]

Thus, the function which relates the distance traveled d to the time t as the train travels at a constant speed is,

[tex]f(t)=210t,\\d=210t[/tex]

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Answer:

Q1) ans-16%

Q2) ans-50%

Q3) ans- 16%

Q4) yes, I think the question 3 and 1 are same

Answer:

16 x (1+0.2) = 19.2

Step-by-step explanation:

There you go hope that helps

Answer:

2 and 2/3

Step-by-step explanation:

(2/3)x(2/3)x6=

2 and 2/3

Answer:

3/4 x 12/1= 9

Step-by-step explanation:

I answered this earlier but it deleted it.

So you would put the 12 over one to make it a fraction and multiply straight across

Answer: 1.5 will be on the point of 1 but just a little bit higher. -2 will be plotted exactly on -2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

19^2 = y^2+ 17^2

y = 8.5

by figure

x = 31 - 2*y

x = 14

Answer:

Learning Task 2

a. angle E

b. Line ES

c. angle A

d. Line LS

e. angle S

Step-by-step explanation:

Hope This Helps!!!!

Answer:

Examples:  0.9 - 0.3 = 0.6;   1.5 - 1.2 = 0.3,     10.8 - 5.3 = 5.5

Step-by-step explanation:

It's the same way of subtracting any regular number just line up the two numbers based on the position of the decimals. Then subtract them, then put the decimal in the position where you have originally lined up to be in the new number.

Look at the diagram I posted for the example!

Hope that helps!

Answer:

y = 3 [tex](2)^{x}[/tex]

Step-by-step explanation:

an exponential function in standard form is

y = a[tex]b^{x}[/tex]

use 2 points to find a and b

using (0, 3 ) , then

3 = a [tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

3 = a

y = 3[tex]b^{x}[/tex]

using (1, 6 ) , then

6 = 3 [tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

2 = b

y = 3 [tex](2)^{x}[/tex] ← is the exponential function

Answer:

m=10/3

Step-by-step explanation:

[3/(10/3)]3=9/10

(9/10)5=45/50

Answer:2187

Step-by-step explanation:

3 to the power of 7 can be expressed as 37 = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187. The two important terms used frequently in exponents are base and powers.

Answer:

2187

Step-by-step explanation:
Given the following question:

3 to the seventh power
3 to the seventh power = 3^7

Solve:
[tex]3^7=3\times3\times3\times3\times3\times3\times3=2187[/tex]
[tex]=2187[/tex]

When dealing with exponents you have to multiply the base by itself as many times as the exponent. In this case 3 (the base) multiply by itself seven times (exponent) to receive the answer 2187.

Hope this helps.

Answer: yes kevin skied as long as lori

Answer:

$3,135.42

Step-by-step explanation:

[tex]p{e}^{.055 \times 2} = 3500[/tex]

[tex]p = \frac{3500}{ {e}^{.11} } = 3135.42[/tex]

The person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.

The practice of continuous compounding involves computing interest and reinvesting it into the balance of an account for an endless number of periods.

Given that, the interest rate is n = 5.5%comp continuously and the final amount after x = 2 years is P(x) = $3500.

The formula for the final amount in continuous compounding is:

P(x) = P₀eⁿˣ      (1)

Where P(x) is the amount after x years, P₀ is the initial amount, and n is the interest rate.

Substitute the values into equation (1):

[tex]3500 = P_{0}e^{5.5\%(2)}\\\\p_{0}=\frac{3500}{e^{0.11}}\\\\P_0=3135.42[/tex]

Hence, the person should invest $3135.42 at an interest rate of 5.5% compounded continuously to have $3500 in two years.

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#SPJ2

The volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The more the volume of a object is obtains the more space. The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cylinder.

The diameter of the cone is 4 units. Thus, the radius of the cone is,

[tex]r=\dfrac{4}{2}\\r=2\rm units[/tex]

As the cone has a slant length of 5. Thus, the height of the cone is,

[tex]h=\sqrt{5^2-4^2}\\h=\sqrt{9}\\h=3 \rm units[/tex]

Here, the height is 3 units and the radius 2 units long. Thus the volume of the cone is,

[tex]V=\dfrac{1}{3}\times3.14\times (2)^2\times3\\V=12.56\rm units^3[/tex]

Hence, the volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.

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Answer:

A triangle with one of the angles being ninety degrees.

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Vertical angles are equal to each other.

2b^2/1-2b

​

Step-by-step explanation:

hope this helps

Answer: Check out the image attached below

y intercept = (0,15)

x intercept = (24,0)

================================================

Explanation:

The y intercept always occurs when x = 0.

Plug in x = 0 and solve for y.

5x+8y = 120

5(0)+8y = 120

8y = 120

y = 120/8

y = 15

The y intercept is located at (x,y) = (0,15)

-------------------

On the flip side, the x intercept always happens when y = 0.

5x+8y = 120

5x+8(0) = 120

5x = 120

x = 120/5

x = 24

The x intercept's location is (x,y) = (24,0)

Refer to the diagram below to see how the boxes are filled in.

Make sure you use parenthesis when writing the ordered pairs.

Answer:

The answer is C, because you would have to essentially find the percentage of a fraction

Step-by-step explanation:

Answer:

[tex]x=-\frac{11}{18}[/tex]

Step-by-step explanation:

[tex]-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x[/tex]

Solve parenthesis first

[tex]-2\frac{5}{6} + 1/3[/tex]

Find a common denominator.

The common denominator would be 6.

Because the first expression already has a denominator of 6 it stays the same.

[tex]\frac{1}{3} = \frac{2}{6}[/tex]

[tex]-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}[/tex]

Put that into the original equation.

[tex]-1\frac{7}{9}=(-1\frac{1}{6} )x[/tex]

Isolate the x. Add [tex]1\frac{1}{6}[/tex] to each side.

[tex]-1\frac{7}{9}+ 1\frac{1}{6}=x[/tex]

Find a common denominator.

we can use 18 as the common denominator.

[tex]-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x[/tex]

Add.

[tex]-\frac{11}{18} =x[/tex]

We cannot simplify so our answer stays the same.