Which of the following functions best represents the graph?
A. f(x) = x3 + 2x2 − 4x − 8
B. f(x) = x3 + 4x2 − x − 4
C. f(x) = x3 + x2 − 9x − 9
D. f(x) = x3 + 3x2 − 3x − 9
Answers
the answer would be A
Hope this helps! :)
~Zain
Answer:
Option: C is the correct answer.
[tex]f(x)=x^3+x^2-9x-9[/tex]
Step-by-step explanation:
Clearly from the graph we could see that:
3 and -3 are zeros of the function f(x).
since the graph crosses these two points on the x-axis.
i.e. when x=3 or -3 ⇒ f(x)=0
Now when we put x=3 in each of the equation we see that:
A)
[tex]f(x)=x^3+2x^2-4x-8[/tex]
when x=3
[tex]f(x)=3^3+2\times 3^2-4\times 3-8\\\\f(x)=27+18-12-8\\\\f(x)=25\neq0[/tex]
Hence, option A is incorrect.
B)
[tex]f(x)=x^3+4x^2-x-4[/tex]
when x=3
[tex]f(x)=27+36-3-4\\\\f(x)=56\neq0[/tex]
Hence, option B is incorrect.
D)
[tex]f(x)=x^3+3x^2-3x-9[/tex]
when x=3
[tex]f(x)=27+27-9-9\\\\f(x)=36\neq0[/tex]
Hence, option D is incorrect.
Hence all the three options are discarded.
Hence, option C is the correct answer.
The function best represents the graph is:
[tex]f(x)=x^3+x^2-9x-9[/tex]
Related Questions
Find the product of (x + 5)(x − 5). (1 point)
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
Answers
x^2-5x+5x-25 = x^2-25
PLZ HELP ME ON THIS
PLZ EXPLAIN IT TO ME
Answers
80 * 5 = 400
Hope it helps
Abby walked miles on Monday, miles on Tuesday, and miles on Wednesday. What is the total distance Abby walked in the three days?
a. miles
b. miles
c. miles
d. miles
Answers
Answer:WE Cant se the numbers
Step-by-step explanation:the ancwer would be 7 and 7/12
A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag. Which of the following represents the probability of selecting a red, blue, yellow, or green marble
A) 0.8
B) 0.7
C) 0.9
D) 0.6
Answers
[tex] \frac{4}{5} = 0.8[/tex]
hope this helps
Answer: The correct option is (A) 0.8.
Step-by-step explanation: Given that a large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag.
We are to find the probability of selecting a red, blue, yellow or green marble.
Let n be the number of each color of marbles in the bag.
That is, the number of red, orange, yellow, blue, and green marbles, each equals n.
Let S denote the sample space of selecting a marble from the bag and A denote the event of selecting a red, blue, yellow or green marble.
Then, we have
n(S) = n + n + n + n + n = 5n,
n(A) = n + n + n + n = 4n.
Therefore, the probability of event A is given by
[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{4n}{5n}=\dfrac{4}{5}=0.8.[/tex]
Thus the required probability selecting a red, blue, yellow or green marble is 0.8.
Option (A) is CORRECT.
99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z
Prove: [see image] Re-draw the diagram of the overlapping triangles so that the two triangles are separated.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?
What congruency theorem would be applied?
Prove using a list/flow chart proof.
Answers
Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]
ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.
12 ticket sellers, 25 cleaning persons, and 15 ushers employees will be paid $10, $7.50, 8.50 per hour for 50 hours per month what is the monthly salary
Answers
Ticket Sellers
----------------------------------------------------------
1 ticket seller = $10 x 50
1 ticket seller = $500
12 ticket sellers = $500 x 12
12 ticket sellers = $6000
----------------------------------------------------------
Cleaning person
----------------------------------------------------------
1 cleaning person = $7.50 x 50
1 cleaning person = $ 375
25 cleaning person = $375 x 25
25 cleaning person = $9375
----------------------------------------------------------
Ushers
----------------------------------------------------------
1 usher = $8.50 x 50
1 usher = $425
15 ushers = $425 x 15
15 ushers = $6375
----------------------------------------------------------
Total
----------------------------------------------------------
$6000 + $9375 + $6375 = $21750
----------------------------------------------------------
Answer: Total monthly salary per month = $21750
----------------------------------------------------------
Carbon-14 has a half-life of 5,730 years. If the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then
* carbon-14 levels in a sample are undetectable after approximately ten half-lives.
* carbon-14 levels in a sample are undetectable after approximately nine half-lives.
* the half-life of carbon-14 is too long to accurately date the object.
* a radioisotope with a shorter half-life should be used to date the object.
Answers
Nine half-lives pf carbon 14 is 51,570 years.
Source:
https://en.wikipedia.org/wiki/Radiocarbon_dating
please help.
solve the inequality |6 - v| < 9
write the inequality as two inequalities with the absolute value and give a solution set.
Answers
-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1
A freight carrier charges $0.57 for a package weighing up to one ounce plus and additional $0.32 for each additional ounce or fraction of an ounce. A company is shipping a package weighing 224 grams. What is the weight of the package in ounces?
Answers
Answer:
its is 8 oz 224 grams is = to 7.901
Step-by-step explanation:
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 34 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
Answers
To find the volume, you simply have to use the formula that is given. It is V = s^3. This means you multiply the side by itself 3 times.
S x S x S = V
34 x 34 x 34 = 39304 cubic yards
which are the solutions of the quadratic equation x^2=9x+6
Answers
The solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
To find the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex], we need to rewrite it in standard quadratic form [tex]\(ax^2 + bx + c = 0\).[/tex]
Given:
[tex]\[x^2 = 9x + 6\][/tex]
Subtract [tex]\(9x\) and \(6\)[/tex] from both sides to get it in standard form:
[tex]\[x^2 - 9x - 6 = 0\][/tex]
Now, to solve this quadratic equation, we can factor it or use the quadratic formula:
The quadratic formula is:
[tex]\[x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\][/tex]
For our equation:
[tex]\[a = 1, b = -9, \text{ and } c = -6\][/tex]
Substituting these values into the quadratic formula:
[tex]\[x = \frac{-(-9) \pm \sqrt{(-9)^2-4(1)(-6)}}{2(1)}\]\[x = \frac{9 \pm \sqrt{81+24}}{2}\]\[x = \frac{9 \pm \sqrt{105}}{2}\][/tex]
So, the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
Please help.
What are the dimensions of the matrix?
⎡1 0 9⎤
⎢-2 3 5⎢
⎢5 4 -6⎢
⎣11 5 7⎦
Enter your answers in the boxes.
The matrix is a [_] × [_] matrix.
Answers
Count the rows: 4
Count the columns: 3
The matrix is a 4 x 3 matrix
The size of a matrix is defined by the number of rows and columns that it contains.
The dimensions of a matrix are the number of rows by the number of columns.
The number of rows and columns of a matrix, written in the form rows×columns.
The given Matrix has four rows and three columns,
The rows go side to side; the columns go up and down. "Row" and "column" are technical terms, and are not interchangeable.
Matrix dimensions are always given with the number of rows first, followed by the number of columns.
The matrix is a [4_] × [3_] matrix.
algebra help please?
Answers
What is the missing value in the following arithmetic sequence?
Answers
so
5.6 + 1.8 = 7.4
missing is 7.4
answer is C. 7.4
Answer:
Step-by-step explanation:
Alright, lets get started.
The first term is 2 and the second term is 3.8.
It means the common difference is [tex]3.8-2 = 1.8[/tex]
So, adding common difference :
First term = 2
Second term = 3.8
Third term = [tex]3.8+1.8=5.6[/tex]
Fourth term = [tex]5.6+1.8 = 7.4[/tex]
So the answer is 7.4 : answer
Hope it will help :)
Please help me answer
Answers
2. transitive prop of equality
3. subtraction property of equality
30 POINTS + BRAINLIEST! SHOW YOUR WORK FOR BRAINLIEST PLEASE!
Answers
2x + 3 + 4x + 3 = 180o
6x + 6 = 180
6x = 174
x = 174 / 6
x = 29
C = 2x + 1
C = 2*29 + 1
C = 59o
2x+3+4x+3= 180o 6x+6=180 6x=174 174/6 29
2x+1 (2)29+1 59o
Step-by-step explanation:
The sales tax on a $250 computer is 17.50. find the sales tax rate.
Answers
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 250&100\\ 17.50&t \end{array}\implies \cfrac{250}{17.50}=\cfrac{100}{t}\implies t=\cfrac{17.50\cdot 100}{250}[/tex]
The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is
A 30ft to the 2
B 37.5 ft to the 2
C 65ft to the 2
Answers
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12
Area = .5 * 12 *5
Area = 30 sq feet
answer is A
Joes is 10 years older than james. in 8 years joe will be three times older than james. how old are they now
Answers
If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?
Answers
r=15 inches
C=2*3.14*15=94.20 inches of ribbon
6.3% of 41 is?
a. 2.6
b. 6.5
c. 258.3
d. 650.8
Answers
a✓
If the function graphed is f(x), find f(1).
A) -4
B) -1/4
C) 0
D) 4
Answers
-----------------------------------------------
Step 1) Draw a vertical line through 1 on the x axis
Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)
Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis.
So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.
In short, this is why f(1) = -4
Can someone please help me solve for x and y? Thank you
Answers
Choice D) x*y = -10
============================================
Explanation:
Multiply both sides of the first equation by 10 to clear out the fractions (10 is the LCD)
3x/5 + y/2 = 13/10
10*(3x/5 + y/2) = 10*(13/10)
6x + 5y = 13
Multiply both sides of the second equation by 100 to get each decimal value to turn into a whole number (move the decimal point over 2 spots to the right)
0.5y + 0.04x = 2.42
50y + 4x = 242
4x + 50y = 242
So we have this new system of equations which is equivalent to the original system
6x + 5y = 13
4x + 50y = 242
Multiply both sides of the top equation by 10 so that the 5y turns into 50y
6x + 5y = 13
10*(6x + 5y) = 10*13
60x + 50y = 130
Now we have this system of equations
60x + 50y = 130
4x + 50y = 242
If we subtract straight down then we have
60x-4x = 56x
50y-50y = 0y = 0 ... notice how the y terms go away effectively
130-242 = -112
The y terms go away leaving us with this simplified equation
56x = -112
Which solves to
x = -2
when we divide both sides by 56
Now use that x value to find y
6x + 5y = 13
6(-2) + 5y = 13 ... replace x with -2
-12 + 5y = 13
-12+5y+12 = 13+12 ... adding 12 to both sides
5y = 25
5y/5 = 25/5 .... dividing both sides by 5
y = 5
In summary we have x = -2 and y = 5. Therefore, x*y = -2*5 = -10 is the answer
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
we are given
[tex]\frac{3x^6-19x^4-4x^3-24x^2+2x+178}{-2x^2-6}[/tex]
we can use long division method to divide it
so, we get
[tex]Quotient=-\frac{3x^4}{2}+14x^2+2x-30[/tex]
[tex]Remainder=14x-2[/tex]...........Answer
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.
Answers
[tex]|2x-4|=5[/tex]
This means:
[tex]2x-4=5[/tex] and [tex]2x-4=-5[/tex]
Simplifying both the equations we get:
x = 4.5 and x = - 0.5
Equation 2:
[tex]|3x-4|=-12[/tex]
There is no solution to this equation, as the modulus or absolute value of any expression can never be negative
Therefore, we can conclude that Equation 1 has more number of solutions that Equation 2.
helppppppppppppppppppppp
Answers
1.796
Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5
= 2 *0.8982
= 1.7965
Hope this helps :)
2, 4, 6, 8, 10
I know this diverges but what is the limit?
Also, is there a limit with numbers that repeat? (ie: -1,1,-1,1...(-1)^n)
Answers
[tex]$\lim_{n\to\infty}\,2n=\infty[/tex]
2. In this case limit does not exist.
a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building
Answers
for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS
where
a is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft
[lateral area]=2*145*856.1---------> 248269 ft²
the answer is 248269 ft²
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
Answers
You can solve this by plugging 1 into [tex] g(x) [/tex] and plugging the result into [tex] h(x)[/tex].
[tex]g(x) = 2x[/tex]
[tex]g(1) = 2(1)[/tex]
[tex]g(1) = 2[/tex]
[tex]h(x) = 2x + 4[/tex]
[tex]h(g(1)) = 2(2) + 4[/tex]
[tex]h(g(1)) = 4 + 4[/tex]
[tex]h(g(1)) = 8[/tex]
Answer:
(h ∘ g)(1) = 8
A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz?
Answers
the answer to the question is 75%
Answer:
75
Step-by-step explanation:
P(2ndquiz|1st quiz)=P(passed both quizzes)/P(1st )=0.06/0.08=0.75 that means 75%