Which statement is true of the function f(x) = -3^sqrt x ? Select three options.

The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–infinity < y < infinity }.
The function is a reflection of y = .3^sqrt x
The function passes through the point (3, –27).

Answers

Answer 1

Do you mean [tex]f(x)=-3^{\sqrt x}[/tex], as in the negative of 3 to the power of √x ? Or [tex]f(x)=-\sqrt[3]{x}[/tex], as in the negative cube root of x ?

If you mean [tex]f(x)=-3^{\sqrt x}[/tex], then, going through each option:

no: the square root component is defined only for x ≥ 0, for which we have √x ≥ 0 and hence f(x) < 0 for all x in the domain. √x is an increasing function, so the powers of 3 get successively larger, so f(x) would be always decreasing;

no: as mentioned above, the domain would be all non-negative numbers;

no: at minimum, x = 0 which gives f (0) = -3⁰ = -1, and because f(x) is decreasing over its entire domain, the range would be {y | y ≤ -1};

no: again, a bit of ambiguity, but assuming you mean to say here [tex]y=3^{\sqrt x}[/tex], yes, f(x) would be a reflection of y across the x-axis;

• and finally, no: [tex]f(3)=-3^{\sqrt3}\approx-6.705[/tex]

so that only the fourth option would be true.

On the other hand, if you mean [tex]f(x)=-\sqrt[3]{x}[/tex], then:

no: the function is always decreasing;

yes: the domain is all real numbers;

yes: the range is {y | -∞ < y < ∞};

yes: f(x) is a reflection of y=∛x, also about the x-axis; and

no: f (3) = -∛3 ≈ -1.442

I suspect you mean the second case, since it's a bit simpler to approach.

Answer 2

Answer:

b,c,d

Step-by-step explanation:

Just took the test


Related Questions

The teacher does not have to spend all $36. Write an inequality relating 36 and 9 (7 - x) representing this situation. (Copy/paste as needed: ≤ ﹤ ≥ ﹥)

Answers

Answer:

9(7-x) < 36

Step-by-step explanation:

From the question, we are to relate the amount the teacher spent to the expression 9(7-x).

Since the teacher does not have to spend all the $36, this means that he spent amount less than $36 but not equal to $36. Hence the best inequality sign that relates both expression is a less than sign (<) as shown;

9(7-x) < 36

hence the required inequality is 9(7-x) < 36

X+y<-1jjjjjjjjjjhhhjjjjjj

Answers

Answer:

What's the problem?

Step-by-step explanation:

Makes NO sense

A desktop computer is Bought for $45,000 and sold for $30,000.Find the loss percent​

Answers

Answer:

15,000perecent

Step-by-step explanation:

subtract 45 from 30 and you get 15 that means he lost 15,000 percent

Lost 15,000 which is 33%

Estimate the solution to the system of equations.

Y = = -2.3 – 5
y = 2x – 2

Answers

Answer:

y = -2.65

Step-by-step explanation:

2y-2 = -2.3 + 5

2y-2 = -7.3

2y = -7.3+2

2y = -5.3

y = -5.3÷2

y = -2.65

Answer: i dont know sorry

Step-by-step explanation:

How can we get System B from System A?

Are they equal?

Answers

Answer:

No they aren't equal.....

Alan has forgotten his 4-digit PIN code.
He knows the first digit is 9 and the last digit is larger than 5.
How many different sets of 4 digits could it be?

Answers

Answer:

400 sets

Step-by-step explanation:

First digit- 1 option (9)Second digit - 10 options (0 to 9)Third digit - 10 options (9 to 9)Fourth digit - 4 options (6, 7, 8, 9)

Possible number of sets:

1*10*10*4 = 400

Use Simplex Method and Maximize 2x+3y =z​

Answers

Hello!

Solve for x.

2x+3y=z

Step 1: Add -3y to both sides.

2x+3y+−3y=z+−3y

2x=−3y+z

Step 2: Divide both sides by 2.

2x/2=−3y+z/2

Answer:x= −3/2y+1/2z

Thank you for asking this question!

It would be greatly appreciated if you thanked me and marked me as the brainliest!

Have an amazing day.

Hard moments for me and the bois

Answers

Answer:

Angle 4,

Step-by-step explanation:

Partnership with angle 3, it'll make a 90 degree angle.

-18=7v+9-10v
slove for v.​

Answers

Answer:

v=9

Step-by-step explanation:

-18 = 7v + 9 - 10v

combine like terms

-18 = -3v + 9

-9             -9

-27 = -3v

divide both sides by -3

9 = v

or

v = 9

Hope this helps!!!

Solve the simultaneous equations:

y−2x=12
y+2x=4
x=
and y=

Answers

Answer:

y = 8

x = -2

Step-by-step explanation:

(If you are cancelling the y form the equation to find x first then subtract the equation as the signs are the same or else if you are cancelling the x first then add the equations as the signs are different)

y-12x=12 l cancelled the x from the equation to

y+2x=4 find y

+ + +

_____

2y = 16

y= 16/2

y=8

8 in eqn no 1

y-2x=12 replace the y with 8 and find x

8-2x=12

8-12=2x

-4=2x

-4/2=x

-2=x

Find the distance from albertos horseshoe to Rebecca's horseshoe explain

Answers

Answer:

Wheres the picture?

Step-by-step explanation:

Simplify: 3(2x+7)-2(x+5)

Answers

Answer:

4x + 11

Step-by-step explanation:

3(2x + 7) - 2(x+5)

*use distributive property to multiply what's in the parentheses by what's outside of the parentheses*

6x + 21 - 2x - 10

*combine like terms*

6x + 11 -2x

4x + 11

6x+21 -2x+10
4x 31
7.75=x

I need help with these questions pls

Answers

Answer:

Step-by-step explanation:

Evaluate : 2a^2+3b^3-10
For a=2 and b=(-2)​

Answers

Step-by-step explanation:

Just substitute the values of a and b

2a^2 + 3b^3 - 10

2x2^2 + 3 x (-2)^3 - 10

= 2 x 4 + 3 x (-8) - 10

= 8 - 24 - 10

= 8 - 34

= -26

Answer:

- 26

Step-by-step explanation:

Given

2a² + 3b³ - 10 ← substitute a = 2, b = - 2 into the expression

= 2(2)² + 3(- 2)³ - 10

= 2(4) + 3(- 8) - 10

= 8 - 24 - 10

= - 16 - 10

= - 26

Kilo meters using decimal
a) 3550m
b) 10km 75m
c) 33km 6m

Answers

Answer:

a) 3.55 k.m

b) 10.75 k.m

c) 33.o6 k.m

I am just confused on how to do this question. A 37-inch TV is 37-inches diagonally across the screen. Which of these dimensions best describes a 37-inch TV? A. 15 x 34 B. 16.5 x 32 C. 17 x 28 D. 17 x 32

Answers

Given that,

A TV is 27 inch diagonally across the screen.

To find,

The dimensions that best describes a 37 inch TV.

Solution,

Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

[tex]c=\sqrt{a^2+b^2}[/tex]

If dimensions are 15 x 34,

[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]

If dimensions are 16.5 x 32,

[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]

If dimensions are 17 x 28,

[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]

If dimensions are 17 x 32,

[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).

Just need A and B, thanks

Answers

A: is 30 degrees Fahrenheit (I think!) if not then -30
And B is $54.40

What is seven times six

Answers

Answer:

42

Step-by-step explanation:

The answer is 7x6=42

in triangle ABC, the measure of angle Aequals 50 degrees. which is true about the measure of angle C?

Answers

Answer:

And....what are the options? or are we suppose to know answer that?

Answer:

could you add the options pls

please help me!
You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

What is √7/√11 in simplest radical form?

Answers

Answer:

[tex]\sqrt{77}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} \sqrt{11}[/tex]

Apply radical rule: [tex]\sqrt{a} \sqrt{b} =\sqrt{a*b}[/tex]

[tex]\sqrt{7}\sqrt{11} =\sqrt{7*11}[/tex]

[tex]=\sqrt{7*11}[/tex]

Multiply the numbers: [tex]7*11=77[/tex]

[tex]=\sqrt{77}[/tex]

Which expression is undefined?
A.
---5-5)
5
c.
O D. 12 = 0

Answers

Answer:

D. 12 ÷ 0

Step-by-step explanation:

Undefined Expression

An expression in mathematics that does not have meaning and so which is not assigned an interpretation is called undefined.

A rational expression is undefined when the denominator is 0. Division by 0 is not defined or does not have a meaning.

From the given expressions, the only one that has a division by 0 is:

D. 12 ÷ 0

Which Equation Represents a linear Function?!! PLS

Answers

Answer:

A because it has both the slope and the y-intercept

PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: p=4.1

Step by step explanation:
7(p-9)=-34.3 Divide both sides of the equation by 7

P-9=-4.9 Move the constant to the right hand side and change its sign

P=-4.9+9 Calculate the sum

P=4.1

If a = 3, find 7 – a

Answers

Answer:

4

Step-by-step explanation:

If mike invested $1200 in an account that earns 3.75% interest, how long will it take to the
nearest year for the account to reach $2000

Answers

Answer:

tell mike to ask jeff bezoz for cahs so he wont need to invest

Step-by-step explanation:

Show that the equation x^3+4x=6 has a solution between 1.1 and 1.2
plz I need help my dudes I have no clue what I’m doing

Answers

Answer:

see explanation

Step-by-step explanation:

If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.

Given

x³ + 4x = 6 ( subtract 6 from both sides )

x³ + 4x - 6 = 0 ← in standard form

Evaluating for x = 1.1

(1.1)³ + 4(1.1) - 6

= 1.331 + 4.4 - 6 = - 0.269 ← < 0

Evaluating for x = 1.2

(1.2)³ + 4(1.2) - 6

= 1.728 + 4.8 - 6 = 0.528 ← > 0

Since there is a change in sign the graph has crossed the x-axis from below /   indicating a solution between x = 1.1 and x = 1.2

Kevin reads 10 minutes after school. He reads x more minutes after dinner. Write an equation that represents the total number of minutes read, y.

Answers

Answer:

10(x)=y

Step-by-step explanation:

I'm bot 100% sure if this is correct because I don't know the lesson you're doing but I hope it helped.

find the slope and the y-intercept of the line.

Answers

Answer:

Slope m = -5/4

y-intercept b = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

[Standard Form]   -5x - 4y = -12

Step 2: Rewrite

Add 5x to both sides:                    -4y = 5x - 12Divide -4 on both sides:                y = -5/4x + 3

Step 3: Identify

Break apart the function.

Slope m = -5/4

y-intercept b = 3

What will be the balance in an
account that was initially $400
and has been drawing 5.5%
interest compounded
continuously for 8 years?

Answers

Answer:

613.87 dollars

Step-by-step explanation:

Times 400 by 1.055 and you'll get 422 dollars. Keep doing this with the product (Result of you multiplying the previous answer by 1.055) eight times and you'll get 613.87 dollars

Answer:

A = $400e^(0.055·8) ≈ $621.08

Step-by-step explanation:

hope this helps

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