MATHEMATICS HIGH SCHOOL

What are the domain and range of the function f(x) = 3^x + 5

Answers

Answer 1

Answer:

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

The domain of the function is the possible set of values at which the function is defined.

and the range of the function is the corresponding function values at the points of the domain.

e are given a function f(x) as:

$f(x)=3^x+5$

Clearly the function $3^x$ is defined for all the real values.

Hence, the function:

$f(x)=3^x+5$ is defined for all the real numbers.

Hence the domain of the function is: (-∞,∞) i.e. all of the real line.

Also we know that:

$3^x>0$ for all x.

Hence,

$3^x+5>5$ for all x.

Hence, the range of the function is:

(5,∞).

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Answer 2

Answer: The range is y values and domain is x values

y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5

And the domain would be all real numbers.

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Suppose you buy a new car whose advertised mileage is 23 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 19.4 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.07 mpg. A. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. B. Does it appear that your car is getting unusually low gasmileage?

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?answers:
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial

Answers

The correct answer is that 3x²-11x+8 will be a polynomial.

Explanation:
When we subtract polynomials, we combine like terms:
3x² is the only x² term we have.
We have -6x and subtract 5x from it; this gives us -11x.
We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

This gives us 3x²-11x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign).

Answer:

option (b) is correct.

we get a polynomial $3x^2-11x+8$

Step-by-step explanation:

Given : Polynomial 5x -6 and $3x^2-6x+2$ .

We have to choose out of given options which shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from $3x^2-6x+2$ .

We first subtract the polynomial

$\Rightarrow 3x^2-6x+2-(5x-6))$

$\Rightarrow 3x^2-6x+2-5x+6$

similar terms are terms having same variables with same degree.

Here, -6x and -5x are similar

and 2 and 6 are similar.

Adding similar terms, we get,

$\Rightarrow 3x^2-11x+8$

Polynomial is an algebraic expression that can involves variables with non negative integer terms and constants.

Thus, we get a polynomial $3x^2-11x+8$

Hence, option (b) is correct.

In the US Senate, there are 21 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 21 members are selected to be on the Sub-committee on Economic Policy. How many different committee structures are possible for this sub-committee?

Answers

Answer:

Possible committee structures = 293930

Step-by-step explanation:

The combination expression is used here

²¹C₉ = 21!/(9!(21−9)!) = 293930

Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

140

Step-by-step explanation:

cause alternate interior angles

answer: 40 i believe

Which equation best represents the revenue for selling n raffle tickets at $3.50 each?

Answers

You have to multiply the price of the tickets by the number of tickets sold to obtain revenue.

p = 3.5
n = number of tickets sold

r = 3.5n

3.50n - Cost of n tickets = profit

If the length of an arc is 12 inches and the radius of the circle is 10 inches, what is the measure of the arc?I don't get this, keep getting it wrong. Can someone lead me through it???? PLZ

Answers

Assuming you are working in radians, the length of a circular arc is given by the definition of te radian:

$s =r\theta$ which can be re-arranged to $\theta = (s)/(r)$

Using supplied known values:
$\theta = (12)/(10) = 1.2 radians$

PLEASE HELP What is the solution to the sentence ''A number decreased by -5 is at least 7''?

Answers

so a number degreased by -5 means a number +5 so
x-(-5)
is at least 7
x+5>7
so subtract 5 from both sides
x>2
the solution is any number more than, and including, 2

n-5=7

add 5 to both sides

n=12

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