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3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

Answer:

4x + 1

f + g(x) = f(x) + g(x) → Add the two functions together

3x - 1 + (x + 2)

3x - 1 + x + 2

3x + x − 1 + 2 → Combine like terms

4x + 1

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Need help with this question p

patriot [66]

Answer:

4x² + 12x + 9

Step-by-step explanation:

<h3>Using identity: </h3>

(a +b)² = a² + 2ab + b²

Here, a = 2x & b = 3

(2x +3 )² = (2x)² + 2*2x*3 + 3²

= (2x*2x) + 12x + 3*3

= 4x² + 12x + 9

7 0

2 years ago

Your younger sibling can run 3/8 of a mile in 1/8 of an hour. How long will it take him to run one mile? How far could he run in

Leno4ka [110]

9514 1404 393

Answer:

1/3 hour per mile
3 miles per hour

Step-by-step explanation:

Time per mile can be found by dividing hours by miles:

(1/8 h)/(3/8 mi) = 1/3 h/mi

It will take him 1/3 hour to run 1 mile.

Miles per hour can be found by dividing miles by hours (or by finding the reciprocal of the above value):

(3/8 mi)/(1/8 h) = 3/1 mi/h = 3 mi/h

He could run 3 miles in one hour.

4 0

3 years ago

A solid figure is shown. It is a rectangular prism. 3 cm 5 cm 9 cm What is the volume of the figure? A. 17 cm 3 B. 27 cm 3 C. 45

rodikova [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

If a student can run the mile in 8 minutes, how many miles can they run in an hour?

trapecia [35]

The answer is: " 7 $\frac{1}{2}$ $\frac{mi }{hr}$ " ;

_____________________________________________

or, write as: " 7. 5 $\frac{mi}{hr}$ " .

_____________________________________________

Explanation:

To solve:

_____________________________________________

Using a technique called "dimensional analysis" :

_____________________________________________

$\frac{1 mi}{8 min}$ * $\frac{60 min}{1 hr}$ ;

= $\frac{(1 * 60)}{(8 * 1 )}$ $\frac{mi}{hr}$

= $\frac{60}{8}$ $\frac{mi}{hr}$ ;

= $\frac{(60/4)}{(8/4)}$ $\frac{mi}{hr}$ ;

= $\frac{15}{2}$ $\frac{mi}{hr}$ ;

= { 15 ÷ 2 } $\frac{mi}{hr}$

= " 7 $\frac{1}{2}$ $\frac{mi }{hr}$ " .

_____________________________________________

or, write as: " 7. 5 $\frac{mi}{hr}$ " .

_____________________________________________

6 0

3 years ago

Ahmet rents a piano for $35 per month. He earns $25 per hour giving piano lessons to students. He wants to know

Vinvika [58]

Answer:

25h-35=440

440+35=25h

475=25h

475÷25=h

h=19

19 hours

It will take 19 hours of lessons.

3 0

3 years ago