1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vivado [14]
3 years ago
10

Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?

Mathematics
1 answer:
disa [49]3 years ago
7 0

Given:

The two functions are:

f(x)=2x^2+1

g(x)=3x-6

To find:

The correct statement about the function f+g.

Solution:

We have,

f(x)=2x^2+1

g(x)=3x-6

Adding both functions, we get

f+g=f(x)+g(x)

f+g=2x^2+1+3x-6

f+g=2x^2+3x-5

It is a quadratic function. So, option A is incorrect and option B is correct.

The domain of f+g is all real numbers because it is defined for all real values of x. So, option C is incorrect.

The range of f+g cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.

Therefore, the correct option is B.

You might be interested in
2. What is the effective annual rate of an investment that pays 6% for 5 years, compounded semiannually?
Ede4ka [16]

Answer:

effective annual rate is 6.16 %

Step-by-step explanation:

given data

rate = 6 % = 0.06

time 5 year = 10 semi annually

to find out

effective annual rate

solution

we know formula for annual effective rate of interest is

rate of  interest = (1+ r/n)^{n} -1

put here all value

rate of interest = (1+ 0.06/10)^{10} -1

rate of  interest = (1+ 0.06/10)^{10} -1

rate of interest = 0.061646

so effective annual rate is 6.16 %

8 0
3 years ago
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
Levart [38]

Answer:

Match each of the trigonometric expressions below with theequivalent non-trigonometric function from the following list.Enter the appropiate letter(A,B, C, D or E)in each blank

A . tan(arcsin(x/8))

B . cos (arsin (x/8))

C. (1/2)sin (2arcsin (x/8))

D . sin ( arctan (x/8))

E. cos (arctan (x/8))

These are the spaces to fill out :

.. ..........x/64 (sqrt(64-x^2))

.............x/sqrt(64+x^2)

.............sqrt(64-x^2)/8

..............x/sqrt(64-x^2)

..............8/sqrt(64+x^2)

A. ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

Step-by-step explanation:

To solve this we have to find the missing sides to each of the triange discribed in prenthesis thus

A we have the sides of the triangle given by x, 8 and  \sqrt{8^{2} - x^{2} }or  \sqrt{64 - x^{2} }

thus tan(arcsin(x/8))  = \frac{x}{\sqrt{64 - x^{2} }}  =

Therefore  ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B

Here we have cos = adjacent/hypotenuse where adjacent side is \sqrt{64 - x^{2} } and hypothenuse = 8 we have \sqrt{64 - x^{2} }/8

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

4 0
2 years ago
What is the solution to the equation? 9/10x+4/5=28.3
iVinArrow [24]

Answer:

C.)

275/9

Step-by-step explanation:

I think its C.)

8 0
3 years ago
Read 2 more answers
John sells seven cookies for $5.39. Write an equation that represents John's sales for any number of cookies.
Usimov [2.4K]

follow if you like.please

6 0
3 years ago
Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down.
Hoochie [10]
I’m pretty sure it’s c) I’m sorry if it’s wrong :)
3 0
2 years ago
Other questions:
  • HURRY I'LL PICK A BRAINLIEST PERSON!!!
    14·2 answers
  • Someone pls help...<br> I'm terrified I'm gonna fail and this test is literally my life...
    15·1 answer
  • Can anyone answer this for me?
    5·1 answer
  • The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. use​ z-sco
    13·2 answers
  • The points in the table lie on a line. Find the slope of the line.
    5·1 answer
  • 10-2+3x19-8= first to answer will get brainlyest
    7·2 answers
  • What is the constant of proportionality in the equation y = 2x?
    14·1 answer
  • Cans of tuna cost $1.59 for 6 oz. At that rate, how much would 25 oz of tuna cost?
    15·1 answer
  • Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)
    12·1 answer
  • Kindly answer it ....​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!