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:
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)
Answer:
B), C), and E)
Step-by-step explanation:
Edge 2021
Related Questions
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.
What is the slope of the line that passes through the points (10,11) and (-6,3)?
Answers
Answer: m = ½
.............................
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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0.05
[tex]0.05 \div 0.416[/tex]
help me solve
Answers
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
(-2+8i)(3-10i)
Step by Step
Answers
-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
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
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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
help anyone please??
Answers
Answer:
I believe 3 ways based on what I see in the picture.
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:
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] ヅ
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.
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
Pleas help I give brainliest ! Jejsjsjsjssjsjs
Answers
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.
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:
GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅
Answers
Answer:
Option 3
Step-by-step explanation:
f inverse =
[tex] \frac{3x - 15}{4} [/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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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:
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
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
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
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
$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
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The line that passes through the points (3,0) and (-5,8) is
A.)Decreasing
B.)Increasing
C.)Horizontal
D.)Vertical
Answers
If you were to graph the points, the slope connecting the two would be negative. Meaning the line is decreasing.
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
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
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 - 3/4Step 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)
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