Ask question

Ask question

All categories

Dmitry_Shevchenko [17]

2 years ago

5

If f(x)=x/3 -2 and g(x)=3x^2+2x-6 find (f+g)(x)

1 answer:

umka21 [38]2 years ago

6 0

Answer:

(f + g)(x) = 3x² + (7/3)x - 8

Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

g(x) = 3x² + 2x - 6

(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms

You might be interested in

Cas walks 3/5 miles in 24 min at a steady pace, how long does it take him to walk 2 miles?

san4es73 [151]

Your answer is 80 mins, or an hour and 20 mins. You simply turn that fraction to a decimal by diving 3 with 5. This should turn out to be 0.6. Then you multiply the 24 mins with the 2 miles and it turns out to be 48. After this, you divide 48 by 0.6 and you get 80.

3 0

3 years ago

Jay had to paint part of the outside of his house he spent 7 hours painting one side and 12 hours painting another how long did

jolli1 [7]

Another 12 hours to get it going

7 0

3 years ago

VladimirAG [237]

Answer:

Sphere Volume = (4/3) * PI * radius^3

radius = cube root (Sphere Volume) / (4/3)*PI

radius = cube root (5,600) / (4/3)*PI

radius = 11.016 cm

radius = 11 cm (rounded)

Answer is B

Step-by-step explanation:

4 0

3 years ago

Solve the inequality:<br><br> <img src="https://tex.z-dn.net/?f=4x%2B3%5C%20%20%5Ctextgreater%20%5C%2019" id="TexFormula1" title

IceJOKER [234]

Answer:

x > 4

Step-by-step explanation:

4x + 3 > 19

4x + 3 - 3 > 19 - 3

4x > 16

4x/4 > 16/4

x > 4

Hope this helps.

6 0

3 years ago

A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a

Elan Coil [88]

Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.1 = 0.9$ , so $z = 1.28$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07$

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

8 0

3 years ago