Plz Help

Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

1.k(x)=40-3^x+1-15x
2.k(x)=3^x-3x k(x)
3.k(x)=10+3^x+1-15x k(x)
4.k(x)=10-3^x-3x k(x)
5.k(x)=40-5(3^x)-9x k(x)
6.k(x)=5(3^x)-9x-10 k(x)
1. k(x) = (5g + 3h)(x)
2. k(x) = (3h - 5g)(x)
3. k(x) = (3g + 5h)(x)
4. k(x) = (5h - 3g)(x)
5. k(x) = (h - g)(x)
6. k(x) = (g + h)(x)

Question

23-02-2019
Mathematics

contestada

Plz Help

Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

1.k(x)=40-3^x+1-15x
2.k(x)=3^x-3x k(x)
3.k(x)=10+3^x+1-15x k(x)
4.k(x)=10-3^x-3x k(x)
5.k(x)=40-5(3^x)-9x k(x)
6.k(x)=5(3^x)-9x-10 k(x)
1. k(x) = (5g + 3h)(x)
2. k(x) = (3h - 5g)(x)
3. k(x) = (3g + 5h)(x)
4. k(x) = (5h - 3g)(x)
5. k(x) = (h - g)(x)
6. k(x) = (g + h)(x)

Respuesta :

Otras preguntas

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12 , where x is the number of skateboards the

In your day-to-day routines, you use math when you go to the grocery store, bank, mall and when cooking. How do you imagine that you will use math in your hea

The mechanism by which oxygen moves into capillaries from alveoli is ________. a. active transport b. facilitated transport c. diffusion d. osmosis

Find the volume of the figure below.

What is the area, in square units, of the polygon shown here? A figure in the shape of a block letter L with a vertical height of 5 units and a length of 5 un

What was the relationship between sub-Saharan Africa's trade routes and Saharan Africa's trade routes? A. They each facilitated the sugar trade B.they each fac

Given the equation of the circle (x - 9) 2 + y 2 = 484, the center of the circle is located at __________, and its radius has a length of __________ units.

A double slit apparatus is held 1.2 m from a screen. [___/4] (a) When red light (λ = 600 nm) is sent through the double slit, the interference pattern on t

PLEASE HELP WORTH 20 Points!!

This term refers to the system of organs and tissues that circulate the blood around the body

wagonbelleville wagonbelleville · Answer 1 · 2019-02-25T06:31:43+01:00

Answer:

1 - 3, 2 - 5, 3 - 4, 4 - 6, 5 - 1, 6 - 2.

Step-by-step explanation:

We have,

h(x) = 5-3x and [tex]g(x) = -3^x+5[/tex]

So, according to the options, we have,

1. k(x) = (5g + 3h)(x)

Now, [tex]k(x)=(5g+3h)(x)=5g(x)+3h(x)[/tex]

i.e. [tex]k(x)=5(-3^x+5)+3(5-3x)[/tex]

i.e. [tex]k(x)=5(-3^x)+25+15-9x[/tex]

i.e. [tex]k(x)=40-5(3^x)-9x[/tex]

2. k(x) = (3h - 5g)(x)

Now, [tex]k(x)=(3h-5g)(x)=3h(x)-5g(x)[/tex]

i.e. [tex]k(x)=3(5-3x)-5(-3^x+5)[/tex]

i.e. [tex]k(x)=15-9x-5(-3^x)-25[/tex]

i.e. [tex]k(x)=-9x+5(3^x)-10[/tex]

3. k(x) = (3g + 5h)(x)

Now, [tex]k(x)=(3g+5h)(x)=3g(x)+5h(x)[/tex]

i.e. [tex]k(x)=3(-3^x+5)+5(5-3x)[/tex]

i.e. [tex]k(x)=3(-3^x)+15+25-15x[/tex]

i.e. [tex]k(x)=-3^{x+1}+40-15x[/tex]

4. k(x) = (5h - 3g)(x)

Now, [tex]k(x)=(3h-5g)(x)=3h(x)-5g(x)[/tex]

i.e. [tex]k(x)=5(5-3x)-3(-3^x+5)[/tex]

i.e. [tex]k(x)=25-15x-3(3^x)-15[/tex]

i.e. [tex]k(x)=-15x-3^{x+1}+10[/tex]

5. k(x) = (h - g)(x)

Now, [tex]k(x)=(h-g)(x)=h(x)-g(x)[/tex]

i.e. [tex]k(x)=(5-3x)-(-3^x+5)[/tex]

i.e. [tex]k(x)=5-3x+3^x-5[/tex]

i.e. [tex]k(x)=-3x+3^x[/tex]

6. k(x) = (g + h)(x)

Now, [tex]k(x)=(g+h)(x)=g(x)+h(x)[/tex]

i.e. [tex]k(x)=(-3^x+5)+(5-3x)[/tex]

i.e. [tex]k(x)=-3^x+10-3x[/tex]

Thus, we have the matches as,

1. k(x) = (5g + 3h)(x) ---------------- 5. k(x)=40-5(3^x)-9x

2. k(x) = (3h - 5g)(x) ---------------- 6. k(x)=5(3^x)-9x-10

3. k(x) = (3g + 5h)(x) ---------------- 1. k(x)=40-3^x+1-15x

4. k(x) = (5h - 3g)(x) ----------------- 3. k(x)=10+3^x+1-15x

5. k(x) = (h - g)(x) ----------------- 2. k(x)=3^x-3x

6. k(x) = (g + h)(x) ----------------- 4. k(x)=10-3^x-3x