Answers
Answer:
f(x) = x³ - 2x² - x + 2
Step-by-step explanation:
Since, the graph attached has three zeros (x-intercepts) at x = -1, 1 and 2,
Equation of the given function will be,
f(x) = (x + 1)(x - 1)(x - 2)
By solving this equation,
f(x) = (x² - 1)(x - 2)
= x²(x - 2) - 1(x - 2)
= x³ - 2x² - x + 2
Therefore, answer will be f(x) = x³ - 2x² - x + 2.
According to the given graph,
Three zeros,
x = -1, 1, and 2The function will be:
→ [tex]f(x) = (x+1)(x-1)(x-2)[/tex]
By solving this, we get
[tex]= (x^2-1)(x-2)[/tex]
[tex]= x^2(x-2)-1(x-2)[/tex]
[tex]= x^3-2x^2-x+2[/tex]
Thus the function above is right.
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Related Questions
42 kids bought popcorn at the movie. This was 60% of the kids who attended the movie.
How would you summarize the process to find the number of kids who attended the
movie?
Answers
Answer:
Total number of children = 70
Step-by-step explanation:
Given:
Number of kids buy popcorn = 42
Percent of kids buy popcorn = 60% = 0.6
Find:
Total number of children
Computation:
Total number of children = Number of kids buy popcorn / Percent of kids buy popcorn
Total number of children = 42 / 0.6
Total number of children = 70
What is 1 3/4 hours in minutes?
Answers
Answer: 105
Step-by-step explanation:
Mr. Rogers is designing the layout for a new floor of his office. His new layout will have 8 workstations in one row, with the side length of each workstation being 2 feet longer than the side length (s) of the workstations in the existing layout. He writes this expression to help him design the layout.
8(s + 2)
Which algebraic expression is equivalent to this expression?
A.
8s + 16
B.
8s + 2
C.
8s + 10
D.
s + 16
Answers
Jacob is 4 feet 5 inches tall. How tall is Jacob in inches?
O 48 inches
09 inches
020 inches
0 53 inches
Answers
Answer:
He is 53 inches in height
Step-by-step explanation:
4 × 12 inches = 48 + 5 = 53
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answers
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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A pet store sells dog treats and the prices are represented
in the graph
X = number of treats
y = cost (in dollars)
Select the true statement.
Select one
Each treat costs $0.50
Each treat costs $3
Each treat costs $2
Each treat costs 51
Answers
Answer: 1$
Step-by-step explanation:
SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
A
Step-by-step explanation:
A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 65.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.
Answers
Answer:
3560.622 yr
Step-by-step explanation:
See the attachment for calculation details
Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga studio A (Membership: $22.50 and monthly: $24.50) Yoga studio B (Membership: $47.00 and monthly: $18.25)
PLEASE ANSWER ASAP FOR 35 POINTS :)
Answers
Answer:
4 months
Step-by-step explanation:
Answer:
4 months
Step-by-step explanation:
SOMEONE PLEASE HELP!!!!!
Answers
Answer:
on the first triangle it is equal, 1.5 on the left of it is half of 3 on the right triangle, 5 on the left is half of 10 on the right triangle. so the answer is 8 becuase each side on the left is 2 times the side on the right
Step-by-step explanation:
hope this helps
interact if u in k12
Answers
Answer:
im in k12, hello and how are you on this fine day? :D
Step-by-step explanation:
Answer:
asdfghjkl
Step-by-step explanation:
Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?
2
3
4
5
Answers
Answer:
I would say 3
Step-by-step explanation:
What is 4(2 + a) = 24
a=
Answers
Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaeyWhen Daria gets to school, the temperature is 5.7°F. The temperature changes
by -9.5°F by the time she goes to bed. What is the temperature when Daria goes
to bed? Show your work.
Answers
Answer:
-3.8
Step-by-step explanation:
The temperature when Daria goes to bed was -3.8° F.
What is subtraction?To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, When Daria gets to school, the temperature is 5.7 °F. The temperature changes by -9.5 °F by the time she goes to bed.
5.7 - 9.8 = -3.8
Hence, The temperature when Daria goes to bed was -3.8° F.
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The line segment joining A(6, 3) to B(–1, –4) is doubled in length by having half its length added to each end. Find the coordinates of the new ends.
Answers
Answer:
(9.5, 6.5) and (-4.5, -7.5)Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
Coordinates of M are:
((6 - 1)/2, (3-4)/2) = (2.5, -0.5)Now point A is midpoint of A'M and point B is midpoint of MB'
Finding the coordinates using midpoint formula:
A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)help me.............
Answers
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
Domino's offers the following “deals”:
Deal #1: $10 for one large pizza and $5 for each additional large pizza on the same order.
Deal #2: $6.00 per large pizza
What equation can we use to graph a line showing the different pizza deals?
Answers
Answer: Deal one: 5x+10
Deal two: 6x
what word problem would fit for 7x+10=-3x-2
Answers
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years
Answers
Answer:
Step-by-step explanation:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?
Answers
Answer: 12.20
Step-by-step explanation:
because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.
|8 - 22|
I need help with this please :)
Answers
Answer:
l8 - 22l = 14
Answer: -203
Step-by-step explanation:
By explaining this answer, You first find out if this question can be answered with no negative numbers. As there is negative numbers in this problem you will have to subtract it the way you subtract a normal subtraction problem.
Ask me if you need more info :)
What is the area in square feet 6.3ft, 8ft
Answers
Answer:
go to my account and answer the latest question and say lol u dont
have to answer it tho just put lol for 25 free points.
Step-by-step explanation:
Answer:
50.4
Step-by-step explanation:
Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.
A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE
Answers
Round to the nearest whole number and cluster to give an estimate for 15.23 + 12.8 + 4.93 + 7.21.
Answers
Answer:
the answer is 40
Step-by-step explanation:
15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40
Answer:
40
Step-by-step explanation:
15.23 + 12.8 + 4.93 + 7.21
27.31 + 12.34
39.65
round the number to a whole number
40
HELP!! It’s question 8
Answers
Answer:
the answer is 1.25 or 5/4
Answer:
Actual kitchen area equals 108 feet
Step-by-step explanation:
room turns into 12 ft. by 9 ft.
to find area: 12 x 9
Actual kitchen area equals 108 feet
11)
Paul pays the delivery man £180 for working 24 hours.
How much will he pay him for working 40 hours?
£
Answers
Answer:
£196
Step-by-step explanation:
1) 180/24=7.5
2) 40-24=16
3) 180+16=196
so he has to pay £196
Find the slope of the line graphed below.
Answers
Answer:
-3/5
Step-by-step explanation:
So first, you have to find out the two points :
(-1,-1), and (4,-4)
Next, you have to put into this formula:
y1-y2/x1-x2
The y values in our points are -4 and -1, and our x values are 4 and -1. Lets now substitute:
-4-(-1)/4-(-1)
Now simplify: -4+1/4+1, and solve and you will get -3/5 as the slope
If you liked it, please give me a good rating and please mark me as the brainliest... Thanks!
Hope you do well on your assignment!
Student #1:
6(x - 0.5) > 3
6x - 3 > 3
6x > 0
x > 0
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Answers
Answer:
D, both incorrect
Step-by-step explanation:
Answer:
Student #1:
6(x - 0.5) > 3
6x - 3 > 3
6x > 0
x > 0
2) Solved the inequality correctly and graphed their solution correctly.E
Question 5/8
> NEXT
5
Cherie accepted a job through an employment agency. The job pays $1,100 weekly. The
agency charges 22% of her first three months, pay. How much money will the
employment agency receive for placing Cherie in her new job? (Round to the nearest
dollar.)
Answers
Answer: $2,904
1,100x4 than multiply by .22 then with that you multiply by 3.
$726 money will the employment agency receive for placing Cherie in her new job.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Cherie accepted a job through an employment agency
The job pays $1,100 weekly.
The agency charges 22% of her first three months, pay.
22% of 1100 we have to calculate.
First we have to convert 22% to decimal
22/100=0.22
0.22×1100=242
Now for three months we need to calculate.
3×242
$726
Hence, $726 money will the employment agency receive for placing Cherie in her new job.
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If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answers
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
