Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6

Answer:

(f + g)(x) = 3^x + 12x -4

Step-by-step explanation:

Here, we want to get the value of (f + g)(x)

Mathematically, we have this as;

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

= 3^x + 10x + 2x-4

= 3^x + 12x -4

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

Answer:

number a

Step-by-step explanation:

its a

Answer: the first graph

x          y

12        6

15        9

18        12

Step-by-step explanation:

The solution to the equation below rounded to 2 decimal places is 22.20.

Given the logarithmic expressions

ln x = 3.1

We are to determine the value of "x"

ln x = 3.1

Take the exponent of both sides

e^ln x = e^3.1

The exponent will cancel out the log function to have:

x = e^3.1

x = 22.197

Hence the solution to the equation below rounded to 2 decimal places is 22.20.

Learn more on log function here: https://brainly.com/question/1695836

Answer: The answer is (D) Reflection across the line y = -x.

Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).

Answer:

122

Step-by-step explanation:

The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle

∠FDG = 2*FHG

          = 2 * 61

         = 122°

Answer:

122

Step-by-step explanation:

Answer:

Step-by-step explanation:

948 x 789 = 747,972

Answer:

115 degree

Step-by-step explanation:

x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])

x = 180 - 65

x = 115 degree

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Answer:

50

Step-by-step explanation:

Arc AT the center = angle at the center = 50

Answer:

The cost of cone of popcorn is $ 2.59.

Step-by-step explanation:

The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035.

The cost of per unit volume is

$10/540.473

The cost of cone of popcorn is

[tex]\frac{10}{540.473}\times 140.035\\\\2.59[/tex]

Answer:

Step-by-step explanation:

in negative exponents you should switch both numerator and denominator so for 2 raised to -1 you should switch the numerator and denominator and it will become 1/2 in which 2 is raised to power 1

you can do the same for the remining sums

so a is 1/2 in which 2 is raised to 6 so answer is 1/64

Answer:

3ft and 24 ft.

Step-by-step explanation:

The longer piece is 8 times as long as shorter piece

therefore,

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

Answer:

0.1

Step-by-step explanation:

r = y/x

r = 1.4 / 14 = 0.1

Answer:

2x(2x+11)

Step-by-step explanation:

4x^2 +22x

Factor out 2x

2x*2x +2x*11

2x(2x+11)

Answer:

436

Step-by-step explanation:

218--218=436

Answer:

(0,1) is not the solution to the equation

Step-by-step explanation:

Given:

−3x − 8y = −8 (1)

y = 2 − x ​ (2)

Substitute (2) into (1)

−3x − 8y = −8 (1)

- 3x - 8(2 - x) = -8

- 3x - 16 + 8x = -8

- 3x + 8x = -8 + 16

5x = 8

x = 8/5

Substitute x = 8/5 into (2)

y = 2 − x ​ (2)

= 2 - 8/5

= (10-8) / 5

= 2/5

y = 2/5

Solution to the equation:

(x, y) = (8/5, 2/5)

Therefore,

(0,1) is not the solution to the equation

Answer:

Every year, the population is increasing by a certain amount. This type of continuous growth is increasing at an increasing rate. Exponential growth.

Step-by-step explanation:

Let's say the population of Atlanta was 100,000 in year 0. At the end of year 1, it would have grown 3%. 100,000 * 103% = 103,000.

103% because if it were 3%, the population would be shrinking.

at the end of year 2, you take the ending amount of year 1, 103,000*103%=106,090.

Exponential growth is everywhere in the world, population sizes, production, intelligence. The formula f(x)=a(1+r)^x :

f(x): the amount in x years.

a: The starting population.

r: The yearly growth rate.

x: How many years.

If you are given months, convert from years to months.

For example: Detroit is expected to grow 1.1% each year until the year 2029. This means that 8 years would have passed, 2029-2021. You take the starting population, which is roughly 675,000 as of now and input into the exponential formula equation.

f(8)=675,000(1+.011)^8 = 736,738 (Population of Detroit in the year 2029).

.011 because 1.1% is converted to decimal form.

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

Answer:

[tex]{ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}[/tex]

Answer:

0.33

Step-by-step explanation:

An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour

Answer: x = 16°

Step-by-step explanation:

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

Answer:

x = 16

Step-by-step explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°

[tex](x+26)+(3x)=90[/tex]

First subtract the 26 from both sides (on 90 and on the equation)

[tex]x+3x=64[/tex]   (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

Answer:

english pls :c

Step-by-step explanation:

YOUR is a parallelogram

RUO=120°

RUO=RYO. {opposite angles in parallelogram are equal}

therefore...RYO=120°

RYS + RYO =180°. {linear pairs}

120°+RYO= 180°

therefore..RYO=60°

in ∆RSY

√SRY+RYS+YSR=180°. {sum of angles in triangle add up to 180°}

50°+60°+YSR=180°

110°+YSR=180°

:YSR=70°

Answer:

THEREFORE YSR = 70°

Step-by-step explanation:

RUO = 120°

Therefore,

RYO = 120°

(opposite angles of a parallelogram are equal)

Now,

RYO + RYS = 180° (linear pair of angles)

120° + RYS = 180°

RYS = 180° - 120°

RYS = 60°

Now,

By Angle sum property of a Triangle,

SRY + RYS + YSR = 180°

50° + 60° + YSR = 180°

110° + YSR = 180°

YSR = 180° - 110°

YSR = 70°

Answer:

mean=14

median =4

Range=3

Step-by-step explanation:

Mean = 4+6+3+1+9+0+5/2

=28/2

=14

Median = ( N+1/2 )th item

= ( 7+1 )/2

= 8/2

= 4

Range = largest no- lowest no

= 9-6

= 3

Answer:

10

Step-by-step explanation:

10 percentage for this question answer

im sorry i dont know the answer

Hello!

4/18 = 6/27 ?

4 × 27 = 18 × 6

108 = 18 × 6

108 = 108 => 4/18 = 6/27

4/6 = 16/36 ?

4 × 36 = 6 × 16

144 = 6 × 16

144 ≠ 96 => 4/6 ≠ 16/36

3/4 = 9/12 ?

3 × 12 = 4 × 9

36 = 4 × 9

36 = 36 => 3/4 = 9/12

5/9 = 8/12 ?

5 × 12 = 9 × 8

60 = 9 × 8

60 ≠ 72 => 5/9 ≠ 8/12

Good luck! :)