Please look at the question and answer

Answer:

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

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

Answer:

C) 3x=54

Step-by-step explanation:

Angle ABD is a straight angle, which means it measures 180 degrees.

Angles ABC & CBD are linear pairs. (The two of them add up to 180°)

ABD is a right angle (90 degrees)

The straight angle (180) minus the right angle (90) equals 90 degrees.

x+2x+2x=90°

Combine like terms

5x=90°

divide by 5 on both sides

x=18

18×3=54

C

Hope this helps :-)

Answer:

m=5.8 or -29/5

Step-by-step explanation:

I used a calculator

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

180

What are the numerical measures of the angles?

x = 14.5

m∠DEA = 39.5°

m∠AEB =  140.5°

Step-by-step explanation:

x + 25 + 9x + 10 = 180

Subtract 35 from both sides and you get,

10x = 145

The divide both sides by 10 and you get,

x = 14.5

To get the angle measurements you plug x back into the angle equations which in this case is 14.5.

It would look like,

m∠DEA = (14.5 + 25) = 39.5

and,

m∠AEB = (9 (14.5) + 10) = 140.5

The numerical sum of ∠DEA and ∠AEB  is 180°.

Numerical value of x is 14.5°.

Measure of ∠DEA is 39.5°.

Measure of ∠AEB is 140.5°.

Given: Two lines intersect.

Points D, E and B lie on a horizontal line and point E is intersected by line AC.

∠DEA = x + 25

∠AEB = 9x + 10

Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.

Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).

⇒ ∠DEA + ∠AEB = 180°

⇒ (x + 25) + (9x + 10) = 180°

⇒ 10x + 35° = 180°

⇒ 10x = 145°

⇒ x = 14.5°

Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:

⇒ ∠DEA = x + 25°

⇒ ∠DEA = 14.5° + 25°

⇒ ∠DEA = 39.5°

Also,

⇒ ∠AEB = 9x + 10°

⇒ ∠AEB = 9 × 14.5° + 10°

⇒ ∠AEB = 130.5° + 10°

⇒ ∠AEB = 140.5°

Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.

Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults

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Answer:

8. -6

Step-by-step explanation:

Answer:

Length of side = 14.7 cm

Perimeter = 58.7 cm

Step-by-step explanation:

Find the root of 215 to find the side length.

It is about 14.7 cm.

Then, multiply the length of the side by 4 to find the perimeter.

Answer:

5

Step-by-step explanation:

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

[tex]10^2= .01[/tex]

[tex].01*1000 = 10[/tex]

[tex]\text {Hi! Let's Solve this Problem!}[/tex]

[tex]\text {So the problem we have here is 3/28*8}[/tex]

[tex]\text {We see that 8 is by itself. So we add a 1 underneath 8.}[/tex][tex]\text {So 8 is the numerator and 1 is the denominator.}[/tex]

[tex]\text {Now we Multiply:}[/tex]

[tex]\text {3*8=24}\\\text {20*1=20}[/tex]

[tex]\text {Your answer would be:}[/tex]

[tex]\fbox {24/20}[/tex]

[tex]\text {You can Simplify that by dividing 4 which gets you}[/tex]

[tex]\fbox {6/5}[/tex]

[tex]\text {Now we convert that Improper Fraction to a Mixed Number}[/tex]

[tex]\text {Your final answer would be:}[/tex]

[tex]\fbox{1 1/5}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

Yes, her estimate is greater than the actual answer. 120.78/9.9 = 12.2. Since 12.2 (the actual answer) is greater than her estimate of 12, she is correct.

Step-by-step explanation:

See Answer.

Answer:

yo

Step-by-step explanation:

Sari had a good estimate for the problem. But she was not correct in saying that her answer was slightly greater than the actual answer. The rounded dividend, 120, is slightly less than 120.76, and the rounded divisor, 10, is slightly greater than 9.9, so the estimate would be less than the actual quotient.

this was the sample

Answer:

100

Step-by-step explanation:

Got it right on test

Answer: Violet light is at the higher end of the visible spectrum, with a wavelength ~380-450 nanometers.

Step-by-step explanation: Please mark Brainliest!

Answer:

Step-by-step explanation:

3 ⁵/₉ ÷ - 2²/₃

convert into improper fractions

32/9 ÷ - 8/3

apply the fraction rule:

32 / 9  x  -3 / 8

32 x -3

9 x 8

_  96

   72

_ 4     --->> convert improper to mixed numbers

   3

- 1 ¹/₃

Answer:

The area is 81 square feet

Step-by-step explanation:

To find the area of a square, you do side*2, and 9*9=81

Given:

On a number line, suppose the coordinate of A is 0, and AR = 9.

To find:

The possible coordinates of the midpoint of AR.

Solution:

Coordinate of A is 0, and AR = 9.

It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.

If coordinate of R is -9, then midpoint of AR is

[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]

If coordinate of R is 9, then midpoint of AR is

[tex]\dfrac{0+(9)}{2}=4.5[/tex]

Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

Answer: A

Step-by-step explanation:

Answer:

Sorry to waist your time but no one would know this not even the person who made the question.

Step-by-step explanation:

Answer:

Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute

where,

Maximum Flow Rate = 730 gallons per minute

Minimum Flow Rate = 550 gallons per minute

Step-by-step explanation:

The extreme values of a quantity are the minimum and the maximum acceptable  values of that quantity. These values can be found by adding and subtracting the allowed variation from the target value, for maximum and minimum value, respectively. Therefore:

Extreme Flow Rates = Target Flow Rate ± Allowed Variation in Flow Rate

Extreme Flow Rates = 640 gallons per minute ± 90 gallons per minute

Extreme Flow Rates = 640 gallons per minute + 90 gallons per minute | 640 gallons per minute - 90 gallons per minute

Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute

where,

Maximum Flow Rate = 730 gallons per minute

Minimum Flow Rate = 550 gallons per minute

Answer:

h= -28

Step-by-step explanation:

h+14=-14

 -14    -14

h= -28

Answer:

00.00004678289

Step-by-step explanation:

Answer:

x=10

5x=50

2x=20

Step-by-step explanation:

110+5x+2x = 180  combine like terms and move the constants to the same side

7x=70

x = 10

5(10) = 50

2(10) = 20