Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options. There are three unique solutions to the function when y=0. The function has a double root. As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again. As x approaches negative infinity, y approaches positive infinity. The domain and range of the function are the set of real numbers.

Answers

Answer 1

Answer:

The function is:

f(x) = x^3 - 4*x^2 - 3*x + 18.

Below, you can see the graph of the function.

The statements that are true are:

As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.

You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.

f'(x) = 3*x^2 - 8*x - 3

As the leading coefficient is positive, the arms oppen up, and f'(0) = -3

Then is easy to see that from left to right, is positive, then negative, and then positive again.

The domain and range of the function are the set of real numbers.

For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.

And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).

The function has a double root.

Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)

Which Statements Correctly Describe The Graph Of The Function F(x) = X3 4x2 3x + 18? Select Three Options.
Answer 2

Answer:

B), C), and E)

Step-by-step explanation:

Edge 2021


Related Questions

evaluate the expression if m = -5 and n = 7
|-m+n|
|m+n|
-|m+(-n)|
-|-m|+n

Answers

Answer:

n  m

Step-by-step explanation:

mn

0.05
[tex]0.05 \div 0.416[/tex]
help me solve​

Answers

The answer is 0.12019231

Can someone help me plzzz algebra isn’t my strong suit

Answers

Answer:

1. 21+5f = 61

2. 18+5n=50.50

3. 40+30s=220

Step-by-step explanation:

1. SUM of 21 and 5 TIMES a number f is 61

From that sentence, sum means addition and times is multiplication, so:

21+5f = 61

2. Let's identify the given:

Monthly fee: 18

Cost of each call: 5

Variable that symbolizes the call: n

Total cost this month: 50.50

Thus, 18+5n=50.50

3. Identify the given:

Charge of tutor: 40

Charge of tutor every student: 30

Variable representing the number of students: s

Total charge: 220

Thus, 40+30s=220

which two layers in this model represent parts of the earth that are mostly iron and nickel ​

Answers

Answer:

inner and outer core are the ones that have iron and nickel

Step-by-step explanation:

The answer is inner and outer core

PLZ HELP FAST GIVING 50 points and brainliest

Answers

Answer:-0.253624

Step-by-step explanation:

Answer:

0.253624

Step-by-step explanation:

The line that passes through the points (3,0) and (-5,8) is
A.)Decreasing
B.)Increasing
C.)Horizontal
D.)Vertical

Answers

The answer is A.
If you were to graph the points, the slope connecting the two would be negative. Meaning the line is decreasing.

A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).

x
y
0
0
15
3
30
6

Assuming there is a proportional relationship, which additional set of values could be included in the table?

Answers

Answer:

100,70 is the answer I took the test

Answer:

The  answer is A ppl

Step-by-step explanation:

Select two ratios that are equivalent to 27: 9.

Answers

Answer:

3:1 and 9:3

Step-by-step explanation:

27 divided by 9 is 3

27 divided by 3 is 9

9 divided by 3 is 3

Find the perimeter of the figure

Answers

Answer:

Answer=2[tex]x^{2}[/tex]+9x+2

Step-by-step explanation:

to find the perimeter of any shape you add all the lengths of it so,

(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)

(you add all same terms together)

=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))

=2[tex]x^{2}[/tex]+9x+2

Solve the algebraic equation
11 = 3 - 7x

Answers

Answer:

-8/7 =x

Step-by-step explanation:

11 = 3 - 7x

Subtract 3 from each side

11-3  = 3-7x-3

8 = -7x

Divide each side by -7

8/-7 = -7x/-7

-8/7 =x

Answer:

x= -8/7

Step-by-step explanation:

1. subtract 3 from both sides

2. divide both sides by 7 to isolate x

3. multiply both sides by -1 so x can become positive

15 points

Draw a square



side 5cm
Diagonal 5cm

how will i draw it
with both 5cm​

Answers

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

will give brainlist plz help its for my 9 week exam

a. 228
b. 229
c. 172
d. 171

Answers

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
A.
-84.3°C
B.
-14.94°C
C.
14.94°C
D.
84.3°C

Answers

Answer:

i am pretty sure it's -14.92

Step-by-step explanation:

Answer:

B!!!

Step-by-step explanation:

What is the range of possible values for x?
The diagram is not to scale.

Answers

Answer:

I think the answer is B :)

Step-by-step explanation:

The solution is Option B.

The value of x is given from the inequality equation 0 < x < 27

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

From the parallelogram , AB ≈ BC

So , The ( ∠ CBD ) > ( ∠ ABD )

Substituting the values in the equation , we get

( 2x ) < 54°

Divide by 2 on both sides of the equation , we get

x < 54/2

x < 27°

And , ∠ ABD cannot be negative or zero ,

So , 2x < 0

Divide by 2 on both sides of the equation , we get

x < 0

Hence , the inequality equation is 0 < x < 27

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Pleas help I give brainliest ! Jejsjsjsjssjsjs

Answers

The chosen answer is correct. Only the 8n is raised to the 4th power, not the number 2, so the 8n is multiplied four times

GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅

Answers

Answer:

Option 3

Step-by-step explanation:

f inverse =

[tex] \frac{3x - 15}{4} [/tex]

$24 lunch;15% tip.
I NEED HELP

Answers

Answer:

3.60

Step-by-step explanation:

The amount of tip will be $3.6.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.

The total amount will be calculated as:-

Amount of tip = 24 x 15%

Amount of tip = 24 x 0.15

Amount of tip = $3.6

Hence, the tip amount will be $3.6

To know more about percentages follow

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A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.

Answers

1/6 off means the regular price for that item should be: $88.8

Work:

The sale = $74 ÷ 5 × 1 = $14.8

=> The regular price = $14.8 x 6 = $88.8

pls help me!!! i can’t get it right

Answers

Answer:

  24√3 square units

Step-by-step explanation:

The side length of a regular hexagon is 2/√3 times the length of the apothem. For an apothem of 2√3, the side length is ...

  s = (2/√3)(2√3) = 4

The perimeter P of the hexagon is 6 times the side length, so is 6×4 = 24.

The area is given by ...

  A = 1/2Pa

where P is the perimeter and 'a' is the apothem.

  A = 1/2(24)(2√3) = 24√3

The area of the hexagon is 24√3 square units.

_____

A hexagon can be divided into 6 congruent equilateral triangles. The apothem will be the altitude of one of those, so will divide the triangle into two triangles with angles 30°, 60°, and 90°. The ratios of the side lengths of such a triangle is something you might want to remember: 1 : √3 : 2. The altitude corresponds to the "√3" side, and the side length of the equilateral triangle corresponds to the "2" side. That is, we have the proportion ...

  apothem : hexagon side = √3 : 2

Multiplying by 2 gives the actual values in the hexagon of this problem:

  apothem : hexagon side = 2√3 : 4

What is the slope of the line that passes through the points (10,11) and (-6,3)?

Answers

Answer: m = ½

.............................

Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 + x grams/cm^2

Answers

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

let x be 3 and y be 4 and z is 5
x + y / xz

Answers

Answer:

7/15

Step-by-step explanation:

3 + 4 / 3 * 5

7 / 15

Answer:

[See Below]

Step-by-step explanation:

[tex]Hey~There![/tex]

_____________________

First we have to turn to into a proper equation:

[tex]3+4[/tex] ÷ [tex]3*5[/tex]

Now we solve the two parts:

[tex]3+4=7[/tex][tex]3*5=15[/tex]

Then we can divide:

[tex]7[/tex] ÷ [tex]15=0.466666667...[/tex]

_____________________

So your answer would be:

Full equation: [tex]3+4[/tex] ÷ [tex]3*5[/tex]Simplified Equation: [tex]7[/tex] ÷ [tex]15[/tex]Simplified Answer: [tex]0.47[/tex]

_____________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex]

help help pls plz pls fast pls

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

The third option is the correct one....

hope it helps,

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(-2+8i)(3-10i)
Step by Step

Answers

(-2+8i)x(3-10i)

-2 x 3 - 2 x (-10i) +8i x 3- 8i x 10i
-6+20i+24i - 80i ^2
-6+20i+24i - 80 x (-1)
-6+20i+24i + 80
Answer: 74+44i

8 is greater than or equal to x, and 3 is less than or equal to x

Answers

Answer:

x = (3,4,5,6,7,8)

Step-by-step explanation:

3 <= x <= 8

Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is his commission for the week?

Answers

Answer: Mason made $185.00

Step-by-step explanation:

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.  (Just ignore the "suits part ._.)

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.

Find the value of x.

(14x – 13)
(8x + 5)

Answers

Answer:

x = 3 (I think)

Step-by-step explanation:

14x - 13 = 8x + 5 (I'm assuming the two expressions are equal)

6x - 13 = 5

6x = 18

x = 3

The simplified value of x from the equation is x = 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 14x - 13 ) = ( 8x + 5 )

Subtracting 8x on both sides , we get

( 14x - 8x ) - 13 = 5

6x - 13 = 5

Adding 13 on both sides , we get

6x = 18

Divide by 6 on both sides , we get

x = 18/6

x = 3

Hence , the equation is solved and x = 3

To learn more about equations click :

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help anyone please??

Answers

Answer:

I believe 3 ways based on what I see in the picture.

Help please I’m stuck on a few of these

Answers

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D

Answers

Answer:

A) -3/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Write equation

12x + 8y = -6

Step 2: Write in slope-intercept form

Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4

Step 3: Find slope

Slope of a parallel line always has the same slope of the original line.

m = -3/2 (Original)

m = -3/2 (Parallel)

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