Choose the graph that represents the following system of inequalities:

y ≥ −3x + 1
y ≥ 1 over 2x + 3

In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.

Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer: integer +4Y, Integer +5.4X

Answer:

Thus, the ratio of the central angles is 4 : 9.

Step-by-step explanation:

Area, A = 12 π square units

radius, R = 6 units

radius, r = 4 units

Area of sector is given by

[tex]A=\frac{\theta }{360}\times \pi r^{2}[/tex]

For first sector

[tex]12\pi=\frac{\theta }{360}\times \pi \times 6^{2}\\\\\theta = 120^{o}[/tex]

For second sector

[tex]12\pi=\frac{\theta' }{360}\times \pi \times 4^{2}\\\\\theta' = 270^{o}[/tex]

So, the ratio is

[tex]\frac{\theta}{\theta'}=\frac{120}{270} =4 : 9[/tex]

Answer:

4 : 9

Step-by-step explanation:

Given:

Two sectors, each has an area of 12pi, but with radii r1=6 and r2=4 units.

Find ratio of central angles.

Solution:

Let A = central angle

Area of a sector = pi r^2 (A/360)

Since both sectors have the same area,

pi r1^2 (A1/360) = pi r2^2 (A2/360)

simplifying

A1 r1^2 = A2 r2^2

Therefore

A1 : A2  = r2^2 : r1^2 = 4^2 : 6^2 = 4 : 9

Answer:

8568 ft³

Step-by-step explanation:

14 x 612 = 8568 ft³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: A

Step-by-step explanation:

A linear function is described as:

https://tex.z-dn.net/?f=f(x)%20%3D%20ax%20%2B%20b

When the value of x = 0, then you're left with

https://tex.z-dn.net/?f=f(x)%20%3D%20b

In this question, the speed of sound is the linear function while the temperature is the independent variable. When T = 0, you're left with

https://tex.z-dn.net/?f=S(0)%20%3D%20331.4

Which means the speed of sound in air when temperature is 0°C is 331.4m/s.

Answer:

62 miles/hour

Step-by-step explanation:

You can solve this the way you would solve any other "averaging" problem.

(50 + 50 + 70 + 70 + 70) / 5 = 62

He traveled 50 mi/hr for the first 2 hours and 70 mi/hr for the remaining (3 hours). Add up all the values and divide by the amount of hours (5).

Answer:

Total angles on a straight Line is 180°

SO

x + 12 + 100 + x = 180

2x + 112=180

2x= 180 - 112

2x =68

x=34°

Have a great day!!!

I hope this helps you sorry to get it wrong

Answer: 16.8 meters

Step-by-step explanation:

32 meter - 120 centimeters = 30.8 meters

30.8 meters - 14 meters = 16.8 meters.

Answer:

1. A fossil is the remains of a once living animal from long ago. Fossils can be Bones, Shell, Exoskeleton, stone prints and more.

2. A observation is something seen and physically recorded as in a inferences is a guess or idea that needs to be supported BY EVIDENCE.

4. For a fossil to be fossilized it needs to be covered in sediment which prevents the fossil from decaying.

5. I THINK that's false

Answer:

1) Fossils are the preserved remains, or traces of remains, of ancient organisms. Fossils are not the remains of the organism itself! They are rocks.

A fossil can preserve an entire organism or just part of one. Bones, shells, feathers, and leaves can all become fossils.

Fossils can be very large or very small. Micro-fossils are only visible with a microscope. Bacteria and pollen are microfossils. Macrofossils can be several meters long and weigh several tons. Macrofossils can be petrified trees or dinosaur bones.

Preserved remains become fossils if they reach an age of about 10,000 years. Fossils can come from the Archaeaean Eon (which began almost 4 billion years ago) all the way up to the Holocene Epoch (which continues today). The fossilized teeth of wooly mammoths are some of our most "recent" fossils. Some of the oldest fossils are those of ancient algae that lived in the ocean more than 3 billion years ago.

2)It is important to understand that an observation is something that can be easily seen whereas an inference is a guess or idea that needs to be supported by evidence. For example, students can make the observation that a gecko has four short, skinny legs.

3) I don't know what the simulation is, but I'm guessing that one observation could be made about the amount of time that a certain amount of organisms fossilize on the beach, the floodplain and the upper river.

4) Sediment (soon after death)

5) True

Step-by-step explanation:

Please mark Brainliest I'm desperate! Hope this helps. <3

Answer:

yes

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The entire angle is 80 as shown.

The value of the missing angle can be found by using the following

F=80-30

F=50

Answer:

The area is 452.39

The Circumference is 75.36

Step-by-step explanation:

Answer:

3, 4

Step-by-step explanation:

Answer: 12 days

Step-by-step explanation:

a= 9

b= 13

➠ 2(9+13)

➠ 2 × 22

Ans ➠ 44mm

Answer: irregular

Step-by-step explanation:

it is irregular because its sides are not equal

Answer:

D

Step-by-step explanation:

The answer is 6

Answer:

5 127/200 meters

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

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

4 5/10 = 4.5 | 8/10 = 0.8

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

4.8 divided by 0.8 = 5.625

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

5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

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

5 + 127/200 = 5 127/200

The unit rate in meters per year is 8/45 meter/year.

Given that, a tree in John's backyard has been growing for [tex]4\frac{1}{2} = \frac{9}{2}[/tex] years. The tree is 4/5 meters tall.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = 4/5 ÷ 9/2

= 4/5 × 2/9

= 8/45 meter per year

Therefore, the unit rate in meters per year is 8/45 meter/year.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

#SPJ2

No, this is not a random sample.

Answer:

A. C = 43.96

Step-by-step explanation:

Circumference = Diameter * pi

Your diameter in this problem (given by the picture) = 14 inches.

If we plug this into the formula:

C = 14 * 3.14 = 43.96

There is a problem with your question, however, because the length we have found is in inches, while all of your options are in centimeters. However, converting the correct inches answers into centimeters is not an answer choice.

Answer:

I think the answer is 18 because 20+18=38 and 7x2= 14

Then you would multiply 38 x 2to get 76

14 + 76 = 90

Step-by-step explanation:

Answer:

196.9

Step-by-step explanation:

Answer:

The answer is D.192 Square Feet because you would multiply 12*16 and you would get 192

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

a) <e and <c

b) <c and <b

c) <c and <a

d) <c and <b,  <c and <d, <d and <e, <e and <a, <a and <b

e) c = 30, a = 90, b= 60, e= 30, d= 150

Answer:

5. D  

6. 80°  

7. 100°

Step-by-step explanation: