All categories

3 years ago

Find the range of (f+g)(x) when f(x) = (x+4)^2 and g(x) = 3

1 answer:

7 0

$(f+g)(x)=f(x)+g(x)\\\\f(x)=(x+4)^2;\ g(x)=3\\\\(f+g)(x)=(x+4)^2+3=(x)^2+2(x)(4)+4^2+3\\\\=x^2+8x+16+3=x^2+8x+19\\\\Used:\\\\(a+b)^2=a^2+2ab+b^2$

You might be interested in

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago

Help..................

Trava [24]

-9 is the slope of the line.

7 0

3 years ago

Read 2 more answers

At a high school, 14% of all students play a sport and 9% of all students play a

olga2289 [7]

Answer:

0.643

Step-by-step explanation:

Let, s = play a sport

c = participate in a club

P(s) = 0.14

P(s n c) = 0.09

probability that a student participates in

a club given that they also play a sport = P(c | s)

P(c | s) = P(c n s) / P(s)

P(c | s) = 0.09 / 0.14

P(c | s) = 0.64285

= 0.643

7 0

3 years ago

Probability of getting a 12

Advocard [28]

Answer:

1/36

Step-by-step explanation:

In two six-sided dice, there is only one way of getting a 12. That is with 2 6s.

There are a total of 36 possibilities (6^2). 1/36

Hope this helps!

6 0

3 years ago

A big dump truck delivers gravel to a construction site. The dump truck has a rectangular bed that is 3 meters wide and 4 meters

uysha [10]

Answer:

24m^3

Step-by-step explanation:

Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent

3 0

3 years ago