valuate y = 3x - 5 when x = 6.

Answer:

First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.

Step-by-step explanation:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(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}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

​

Answer:

12.1

Step-by-step explanation:

its just how many spaces away from 0 it will never be a negetive #

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

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

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

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

[tex]\text {-9*-9=81}[/tex]

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

[tex]\text {81*-9=}[/tex]

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

[tex]\fbox {-729}[/tex]

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

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

Answer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given

7(x + 1) = 21 ( divide both sides by 7 )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Answer:

x=2

Step-by-step explanation:

7×(x +1)=21

7x +7 =21

7x =21 - 7

7x =14

x=14 :7

x=2

7 ×(2 +1)=21

7 ×3 =21

21 =21

Steps to solve:

y - 5 = 3(y - 3)

~Distribute right side

y - 5 = 3y - 9

~Add 5 to both sides

y = 3y - 4

~Subtract 3y to both sides

-2y = -4

~Divide -2 to both sides

y = 2

Best of Luck!

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

7x^2 + 3 - 5(x^2 - 4)

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

Answer:

Step-by-step explanation:

x + 3 = 41

x = 38

Answer: B. $112 = $16 x

Hope this helps!

Answer:

Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.

Step-by-step explanation: hope this help

Answer:

1.57

Step-by-step explanation:

9/11+3/4

=1.56818181818181.....

=1.57

Answer:

69/44

Step-by-step explanation:

=(9x4) + (3x11)

___________

       11x4

=69/44 or 1 25/44

Answer:

1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500

Step-by-step explanation:

1394/x=100/75.3

(1394/x)*x=(100/75.3)*x       - we multiply both sides of the equation by x

1394=1.32802124834*x       - we divide both sides of the equation by (1.32802124834) to get x

1394/1.32802124834=x

1049.682=x

x=1049.682

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{75.3\% \: of \: 1394}[/tex]

Convert 75.3 percent into fraction

To convert a percentage to a fraction, divide it by 100

[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]

Hope I helped!

Best regards! :D

Hey there!

[tex]\frac{f}{4}-5=-9[/tex]

Simplify both sides and you get:

[tex]\frac{1}{4}f-5=9[/tex]

Now add 5 to both sides and you get:

[tex]\frac{1}{4}f=-4[/tex]

Now you have to multiply both sides and you get:

[tex]f=-16(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

Answer:

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality

Answer: line k is the segment bisector and the distance between RS is 34

Answer:

14.7

Step-by-step explanation:

Answer:

6 yards net gain

Step-by-step explanation:

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

Answer:

C. f(x)=3x-1

eg. f(2)=3(2)-1 = 5