The correct answer is option B that is polynomial h(x) = (x - 3)³(x² - 2x + 2).
A polynomial may be defined as an expression containing variables and their coefficients along with powers of the variables. A polynomial having 5 zeroes will be called a fifth-degree polynomial that can be represented as ax⁵ + bx⁴ + cx³ + dx² + ex + f = 0 where a, b, c, d, e and f are coefficients and x is the independent variable. It is given that the polynomial has 3 real zeroes and 2 imaginary zeroes. If we take the polynomial h(x) = (x - 3)³(x² - 2x + 2) we see that the first term (x - 3)³ when equated to zero gives three real zeroes equal to 3. Now, in the second term that is (x² - 2x + 2), if we equate this to zero then the value of discriminant that is b² - 4ac = 4 - 8 = -4 is negative so this term will have two imaginary roots. So, this function h(x) = (x - 3)³(x² - 2x + 2) is the required polynomial.
Learn more about Polynomial at:
brainly.com/question/4142886
#SPJ1
solve 3/5k -5 = 7/10k by eliminating the fraction
Answer:
follow these steps to find your answer
The value of k after eliminating the fraction in 3/5k -5 = 7/10k is 7.
To get the answer follow the given steps below:
3 / 5 k - 5 = 7 / 10 k
Step 1 => 3 (10 k) = 7 (5 k - 5) by cross multiplying the numerator and denominator of both the sides.
Step 2 => 30 k = 35 k - 35 multiplying 5 inside the brackets with 5k - 5
Step 3 => 35 = 5 k
Step 4 => 5 k = 35
Step 5 => k = 35 / 5 dividing
=> k = 7
Hence the value of k after eliminating the fraction is 7.
To know more about eliminating fractions, follow the link given below:
https://brainly.com/question/1473513
#SPJ4
Find the greatest common factor (GCF) of 12x and 6x^3
Sl, this is the solution:
Factors of 12x:
• 2x (Common)
,• 3x (Common)
,• 4x
,• 6x (Common)
,• 12x
Factors of 6x^3:
• 2x (Common)
,• 3x (Common)
,• 6x (Common)
,• 2x²
,• 3x²
,• 6x²
,• 2x^3
,• 3x^3
,• 6x^3
The GCF is 6x
I didn't mean to post this.
Answer:
ok ok ok ok ok ok
Solve each inequality. Graph the inequality if it has a solution. If the inequality has no solution, write no solution. If the solution is true for all real numbers, write infinite solutions. Show work
18 − 5 ≤ 3(6 − 2)
Ms. Ambrose paid $10 for 1.25 pounds of almonds. How much did the almonds cost per pound?
Which term describes the set of all possible outcomes for a probabilityevent?A. LikelihoodB. Empirical probabilityC. ElementsD. Sample space
A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space.
Outcomes are observations of the experiment, and they are sometimes referred to as sample points
Answer = Option D
Solve for x.
2(5x+4) = 7(2)
5x + 4 = 14
What is our next step in solving for x?
A. multiply both sides by 4
C. subtract 4 from both sides
B. add 4 to both sides
D. divide both sides by 4
It's answer option c i.e, subtract 4 from both sides
It's a linear equation 5x + 4 = 7
What is linear equation ?
An equation between two variables that gives a straight line when plotted on a graph or say first degree equation is also known as linear equation.
The equation of first steps is
=> 2(5x+4) = 7(2)
=> 5x + 4 = 14
Now, subtract 4 from 14
=> 5x = 14 - 4
=> 5x = 10
=> x = 10/5
=> x = 5 (Ans.)
It's a final answer for x, but here in question we need to find next step.
Therefore, It's answer option c i.e, subtract 4 from both sides.
To read more about the linear equation.
https://brainly.com/question/25870256
#SPJ13
PLEASE HELP ASAP WILL GIVE 61 POINTS AND BRAINLEST
write an equation in slope intercept form for the lines through points (-2 6) (7 -1)
Y= (-7/9)x + 40/9
Y= (7/9)x + 9/40
Y= (7/9)x + 40/9
Y= (-7/9)x + 9/40
Answer:
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
Step-by-step explanation:
[tex]m = \frac{ - 1 - 6}{7 - ( - 2)} = - \frac{7}{9} [/tex]
[tex] - 1 = - \frac{7}{9} (7) + b[/tex]
[tex] - \frac{9}{9} = - \frac{49}{9} + b[/tex]
[tex]b = \frac{40}{9} [/tex]
[tex]y = - \frac{7}{9} x + \frac{40}{9} [/tex]
What is the x-intercept for function f?
f(x) = −23x + 8
Answer:
-13
Step-by-step explanation:
How many arrangements of the word DARWIN begin and end with a vowel?
The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways
Explanation:The number of letters in DARWIN = 6
The vowels are "A" and "I"
Number of vowels = 2
Number of ways of arranging the two vowels that will be at the beginning and end = 2! = 2 x 1 = 2 ways
There are 4 remaining letters after excluding the vowels
Number of ways of arranging the 4 remaining letters = 4!
Number of ways of arranging the 4 remaining letters = 4 x 3 x 2 x 1
Number of ways of arranging the 4 remaining letters = 24 ways
Therefore, the number of arrangements of the word DARWIN beginning and ending with a vowel = 2 x 24
The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways
This is geometry
Please and Thank you :)
Answer:
(-x, y) is the correct answer. Drawing a graph may help.
what would the answer be for this? The quotient of two times a number and 3 is no more than 10.
(It has to be greater than or equal to.)
Answer:
3n/10
Step-by-step explanation:
im the figure shown, f || x and k || w and m<3=20°. Choose the list which includes all of the other angles that measure 20°.
We have that the angles that are congruent with m<3=20° are the ones that we can see in the image in red
m<3=m<1=m<5=m<7=m<9=m<11=m<14=m<16=20°
Jos is 33 younger than his father. The product if their ages is 658. How old is Jos?
Answer:
Jos is 14 years
Step-by-step explanation:
Let Father's age be x
[tex]{ \tt{father = x}} \\ { \tt{jos = x - 33}}[/tex]
- The question says, product of their ages is 658
[tex]{ \tt{x(x - 33) = 658}}[/tex]
- Open the brackets following distributive property;
-
[tex]{ \tt{ {x}^{2} - 33x = 658 }} \\ { \tt{ {x}^{2} - 33x - 658 = 0 }}[/tex]
- Using bulldozer method;
[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
- A general quadratic equation has a format ax² + bx + c = 0
b is -33a is 1c is -658[tex]{ \tt{x = \frac{ - ( - 33) \pm \sqrt{ {( - 33)}^{2} - (4 \times 1 \times - 658)} }{2 \times 1} }} \\ \\ { \tt{x = \frac{33 \pm \sqrt{3721} }{2} }} \\ \\ { \tt{x = \frac{33 \pm61}{2} }} \\ \\ { \tt{x = \frac{33 + 61}{2} \: \: or \: \: \frac{33 - 61}{2} }} \\ \\ { \tt{x = 47 \: \: \: or \: \: \: - 14}}[/tex]
- Father's age = 47 years
- Jos's age = (47 - 33) = 14 years
Answer: Jos is 14 years old
Step-by-step explanation:
Let Jos is x years old
Hence, father is (x+33) years old
[tex]x(x+33)=658\\\\x^2+33x=658\\\\x^2+33x-658=658-658\\\\x^2+33x-658=0\\\\a=1 \ \ \ \ \ b=33\ \ \ \ \ c=-658[/tex]
[tex]\displaystyle\\x=\frac{-bб\sqrt{D^} }{2a} \\\\D=b^2-4ac\\\\D=33^2-4(1)(-658)\\\\D=1089+2632\\\\D=3721\\\\\sqrt{D}=\\\\ \sqrt{3721}=\\\\61\\\\ x=\frac{-33б61}{2(1)}\\\\ x=\frac{-33-61}{2}\\\\x=-47\notin\\\\x=\frac{-33+61}{2} \\x=\frac{28}{2} \\\\x=14[/tex]
Callan goes for a hike every Saturday. Callan hikes at a rate of 6 kilometers per hour.
Complete the table for the given ratio.
Hours, a
1
3
4
Kilometers, y
6
Plot the ordered pairs (x, y) from the table on the following graph.
Kilometers (y)
The table can be given as for 3 hours we have 18 km and for 4 hours we have 24km, founded by using average.
What is average and how to calculate it?Average is the ratio of the sum of all elements of the dataset to the number of elements in the dataset. To calculate the average we first find the sum of all elements of the dataset and divide it by the number of elements.So, we are given that Callan hikes at a rate of 6 km an hour.
In this way, he will hike 18 km in 3 hours.
And 24 km in 4 hours.We can plot this using graphs.(Refer to the graph attached below)
Hence, using averages, we know that the table can be given as for 3 hours we have 18 km and for 4 hours we have 24km.
To learn more about average, refer to:
brainly.com/question/20118982
#SPJ10
Whats infinity minus infinity?
Answer:0
Step-by-step explanation: anything minus itself is zero (x-x=0)
Answer: That would be non-answerable
Step-by-step explanation: infinity is a boundless and endless thing. It is not able to be added or subtracted to anything.
Which function is increasing?
A.f(x)=(0.5)^x
B.f(x)=5*x
C.f(x)=(1/15)^x
D.f(x)=(1/5)^x
The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
Which function is making f X larger?For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.The order of the numbers is said to be growing if they are written from smallest to largest, but decreasing order is used when the numbers are written from largest to smallest.You must first compute the derivative, then make it equal to 0, and then determine which zero values the function is negative between in order to determine whether a function is decreasing. In order to determine when the function is negative and, consequently, decreasing, test values on all sides of these.Hence, The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
To know more about f(x) refer to:
https://brainly.com/question/2284360
#SPJ9
In the figure below, I || m. Find x.
Answer:
x=67
Step-by-step explanation:
you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer
Answer ALL 3 questions in the photo for easy point! ( 30 points + brainliest
The most appropriate choice for set will be given by -
1) Number of students who went to Nashville but not Pittsburg = 5
2) Number of children who like to use markers but not colour pencils = 2
3) Number of students who have been on TV but not in a play =2
What is a set?
Set is a well defined collection of distinct objects. The objects are called elements of the set.
Set can be empty or non empty, finite or infinite.
The number of elements in a set is known as the cardinal number of the set
Here,
1) Number of students went to Nashville = 12
Number of students went to Pittsburg = 10
Number of students went to both cities = 7
Number of students who went to Nashville but not Pittsburg = 12 - 7
= 5
2) Number of children who like to use markers = 5
Number of children who like to use coloured pencils = 10
Number of children who like to use both coloured pencils and markers
= 3
Number of children who like to use markers but not colour pencils = 5 - 3
= 2
3) Number of students who like to play = 9
Number of students who like to watch TV = 7
Number of students who both like to play and watch TV = 5
Number of students who have been on TV but not in a play = 7 - 5
= 2
To learn more about set, refer to the link:
https://brainly.com/question/2166579
#SPJ13
3 (3x + 10) = 120 solve for x and simplify your answer as much as possible
Answer:
x = 10
Step-by-step explanation:
3(3x+10) = 120
Expand: 9x + 30 = 120
Cross sides: 9x = 120-30
Simplify: 9x = 90
Divide : x = 90\9
7 1/5 - 4 3/5 please tell me ASAP i need this rn
Answer: 4 2/5
Step-by-step explanation:
Answer:2 3/5
Step-by-step explanation:
Change to improper fraction
36/5-23/5
Subtract 36 and 23 since they have same denominator:
36-23=13
Put over 5
13/5
Change over mixed number
2 3/5
What is the slope of y = −x+7?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Explain about the slope?The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.
where m is the slope and y=mx+b
You can also write y =-x+7 as y=-1x +7.
Therefore, the slope is determined by the number before x.
The slope is -1
To learn more about Slope refer to:
https://brainly.com/question/3493733
#SPJ13
HELP i'm being timed
hich expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
Responses
16(2+80)
16 open parenthesis 2 plus 80 close parenthesis
2(16+80)
2 open parenthesis 16 plus 80 close parenthesis
16(2+5)
16 open parenthesis 2 plus 5 close parenthesis
8(4+10)
The expression rewrites the total 32 + 80 using the largest common factor and the distributive property, and the expression can be expressed as 16(2 + 5).
Option (c) is correct.
The least common multiple of two integers is defined as the lowest number that is a multiple of two or more numbers. The abbreviation LCM stands for least common multiple.
It is assumed that:
The mathematical formula is:
= 32 + 80
To identify the most prevalent factor:
GCF( 32, 80) ( 32, 80) ( 32, 80)
We can use Euclid's division lemma to find the GCF:
GCF(32,80)= 16
The phrase 32 + 80 can be expressed as follows:
= 32 + 80\s= 16(2 + 5)
As a result, the equation rewrites the total 32 + 80 using the largest common component and the distributive condition, and the expression can be expressed as 16(2 + 5).
Learn more about HCF and LCM at
https://brainly.com/question/2557849
#SPJ1
Help me please
There is a file attached
In the picture, there is graph with a line. The equation of the line is
2x+y-1=0.
Given that,
In the picture, there is graph with a line.
We have to find the equation of the line in the graph.
The equation of a line can be constructed using the slope of the line and a point on the line.
The equation for a line traveling through a point (x₁,y₁) and having a slope of m is given as follows: y-y₁=m(x-x₁)
Additionally, this equation can be resolved and condensed into the equation of a line in its usual form.
Here, we have points (0,1) and (1,-1).
Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m=(-1-1)/(1-0)
m=-2/1
m=-2
We got Slope of the line m=-2
Take point (0,1)
y-1=-2(x-0)
y-1=-2x
2x+y-1=0
Therefore, the equation of the line from the given graph is 2x+y-1=0.
To learn more about equation visit: https://brainly.com/question/10413253
#SPJ1
i need help cuz im dooky poopoo at math
The product of a positive number x and the number that is 9 more than x is 136. What is the value of x?
ANSWER :
x = 8
EXPLANATION :
The first number is x
The second number is 9 more than x which is (x + 9)
The product of these numbers is 136
The equation will be :
[tex]\begin{gathered} x(x+9)=136 \\ x^2+9x=136 \\ x^2+9x-136=0 \\ \text{ Factor completely :} \\ (x+17)(x-8)=0 \end{gathered}[/tex]The values of x are :
x + 17 = 0
x = -17
x - 8 = 0
x = 8
Since we are looking for the positive value of x, it will be x = 8
Is water moist? Because I think it is
Answer:
Yes! Water is moist.
Step-by-step explanation:
Water is moist because water is a liquid.
From the dictionary:
moisture:
"water or other liquid diffused in a small quantity as vapor, within a solid, or condensed on a surface."
moisture is a type of liquid, and water can be 'diffused in a small quantity as vapor'
So, logically, water is moist.
6. Elena is planning to go camping for the weekend and has already spent$40 on supplies. She goes to the store and buys more supplies. Whichinequality represents d, the total amount in dollars that Elena spends onsupplies? *d > 40Od 240Od<40Od 540
Given
Elena is planning to go camping for the weekend and has already spent $40 on supplies.
She goes to the store and buys more supplies.
To find which inequality represents d, the total amount in dollars that Elena spends on supplies.
Now,
Let d be the total amount in dollars that Elena spends on supplies.
Since Elena has already spent $40 on supplies and bought more supplies.
Then, the amount spent by Elena on supplies is,
[tex]d>40[/tex]Hence, the answer is a) d>40.
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
40%
Step-by-step explanation:
the fraction is 20/50 which x2 is 40/100 and that times 10 (for percent) is 40, so 40%
Answer:
40% of the jerseys are medium-sized
Step-by-step explanation:
Total = 50 jerseys
20 medium-sized
50 x 2 = 100
20 x 2 = 40
40/100 = 40%
Therefore, 40% of the jerseys are medium-sized.
Hope this helps!
I’m confused on what to do
Answer:
8 Gallons
Step-by-step explanation:
The question is asking you how many gallons it takes to travel 184 miles given that 138 miles took 6 gallons
You first divide 138 by 6 to find the Miles Per Gallon
138 ÷ 6 = 23
This means that each gallon was 23 miles
Now you divide 184 by 23 to find how many gallons it took to drive 184 miles.
184 ÷ 23 = 8
This means that it took 8 Gallons for Josiah to travel 184 Miles
