Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).

Answer:

BC 136m, AB 89m

Step-by-step explanation:

Find the diagram attached

According to sin rule;

a/sinA = b/sinB = c/sinC

From the diagram;

b = 120m

<B = 60degrees

<C = 40degrees

From the sine formula

b/sinB = c/sinC

120/sin60 = c/sin40

csin60 = 120sin40

c = 120sin40/sin60

c = 120(0.6428)/0.8660

c = 77.1345/0.8660

c = 89.06

c = AB = 89m

Get BC;

According to the sine rule

a/sinA = b/sinB

a/sin(180-100) = 120/sin60

a/sin80 = 120/sin60

asin60 = 120sin80

a = 120sin80/sin60

a = 120(0.9848)/0.8660

a = 118.177/0.8550

a = 136.46

Hence a = BC = 136m

Answer:

24 mm

10 + 10 + 2 + 2

Answer:

the answer is -1

Step-by-step explanation:

I took the quiz

Answer:

8. X=33º

9. X=120º

10. X= 161º

Step-by-step explanation:

For all of the 3 questions, the sum of the interior angles is equal to the exterior angle.

Hope this helps! Have a great day!

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

10 and 2 im not sure if im right but sorry im dum----b

Answer:

the mean is 9

Step-by-step explanation:

add all the numbers then divide by 6

Answer:

The mean is 9.

Step-by-step explanation:

The mean of a data set is all of the numbers added together, divided by how many numbers are present.

For instance, 10+10+8+9+7+10 = 54.

Since there are 6 numbers in this data set, you divide 54 by 6 and get 9.

Therefore, the mean of this data set is 9.

Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]

[tex]\text{Probability}=\dfrac{2}{7}[/tex]

Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].

Answer:

jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

area = 38.47 cm²

Step-by-step explanation:

area = 1/4(3.14)(7²) = 38.47 cm²

Answer:

2

Step-by-step explanation:

10- 4 is 6 and 6 / 3 is 2

Answer:

a = 2

Step-by-step explanation:

3 + 4 − 4 = 10 − 4= a= 2

Pls give brainlist if this was helpful

Answer:

2563 (square root)in^2

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

(f + g) (x) = f(x) + g(x)

= 3x - 2 + x^2 + 1

= x^2 + 3x - 1.

Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

Answer:

3.8E-6

Step-by-step explanation:

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

Given:

The temperature on the moon can vary from -172 to -126 degrees Celsius.

To find:

The difference between the maximum and minimum temperatures.

Solution:

It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.

Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.

The difference between the maximum and minimum temperatures is:

Difference = Maximum temperature - Minimum temperature

[tex]\text{Difference}=-126-(-172)[/tex]

[tex]\text{Difference}=-126+172[/tex]

[tex]\text{Difference}=46[/tex]

Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Each yard is 36 inches; each foot is 12 inches.

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

Answer:

-3(r-2)/2

Step-by-step explanation:

r/ 2 − 2 r + 6 − 3

r /2 − 2 r⋅ 2/ 2+ 6 − 3

r/ 2 + − 2r ⋅ 2/ 2 + 6 − 3

r − 2 r ⋅ 2 /2 + 6 ⋅ 2/ 2 + − 3 ⋅ 2/ 2

r − 2 r ⋅2 + 6⋅ 2 − 3 ⋅ 2 /2

r − 4 r + 12 − 6 /2

−3 ( r − 2 ) /2

Hope that helps! Plz, mark brainiest! :D

Have a great day!

Answer:

30

Step-by-step explanation:

21 + 9 = 30

Answer:

63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.

Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:

1 group of 63 cards

3 groups of 21 cards

7 groups of 9 cards

9 groups of 7 cards

21 groups of 3 cards

63 groups of 1 card

So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

I would say 32 but I'm so sorry if it's wrong

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

A=πr2

C=2πr

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

Answer:

He can add through calculater or by doing addition in his mind