What is the first step in evaluating the expression shown below?

12 ÷ (74 – 36) + 8 – 2

a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.

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:

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:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

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

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

Answer:

6x² + 4

Step-by-step explanation:

The 4 sides of a square are equal in measure.

Divide the perimeter by 4 for length of side, that is

side = [tex]\frac{24x^2+16}{4}[/tex] = [tex]\frac{24x^2}{4}[/tex] + [tex]\frac{16}{4}[/tex] = 6x² + 4

Answer:

m=5.8 or -29/5

Step-by-step explanation:

I used a calculator

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

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:

8. -6

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:

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

[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:

BALLZ

Step-by-step explanation:

T3ST1CALZ

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-10=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

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:

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 :-)

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: 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:

100

Step-by-step explanation:

Got it right on test

Answer:

5

Step-by-step explanation: