Answers
Given:
The two models for the two polynomials.
To find:
The sum of the given polynomials.
Solution:
From the given figure, it clear that
[tex]\text{First polynomial}=a^2+a+2[/tex]
[tex]\text{Second polynomial}=-a-1[/tex]
Adding both polynomials, we get
[tex]Sum=a^2+a+2+(-a-1)[/tex]
[tex]Sum=a^2+a+2-a-1[/tex]
[tex]Sum=a^2+1[/tex]
Therefore, the correct option is A.
Related Questions
.....................help
Answers
9514 1404 393
Answer:
-0004.00
Step-by-step explanation:
The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...
slope = rise/run = -4/1 = -4
PLEASE HELP I ONLY HAVE 4 MINUTES :(
Answers
Answer:
28.3
Step-by-step explanation:
2 x r x pi = 9 x pi = 28.27433388
to the nearest tenth 28.3
Matteo has &400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings account. he is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answers
Answer:
8 weeks
Step-by-step explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks
Julio earns $2 for 1/5 of an hour of work. How much does Julio earn in 1 hour of work?
Answers
Answer:
10 dollars
Step-by-step explanation:
he is racking in the money
The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that [tex]\mu = 45, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59 - 45}{7}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Explain the steps for moving three disks from one peg to another. Start with moving the small disk to the right peg. (written response)
Answers
Answer: move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
Step-by-step explanation:
Answer:
Move the medium disk to the left peg.
Move the small disk to the left peg.
Move the large disk to the right peg.
Move the small disk to the middle peg.
Move the middle disk to the right peg.
Move the small disk to the right peg.
Step-by-step explanation:
Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.
1. Write the equation for Andre's savings.
2. Graph it alongside Noah's.
3. What does the intersection point mean in this situation?
Answers
Answer:
1. he started with 15 and 5 per week. w is week
a is andre
a = 15 + 5w
Step-by-step explanation:
Answer: 1. Y= 5x + 15
2. Start at 15 and go up 5
3.when they both had the same amount of money at the same time
Step-by-step explanation:
In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their major healthcare concerns. The survey results showed that 579 of the respondents lack confidence they will be able to afford health insurance in the future. (a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future. (Round your answer to two decimal places.) (b) At 90% confidence, what is the margin of error
Answers
Answer:
a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
b) The margin of error is of 0.03.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Point estimate:
The point estimate is [tex]\pi[/tex].
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
579 out of 1007 adults. So
[tex]\pi = \frac{579}{1007} = 0.575[/tex]
Rounding to two decimal places, 0.58
The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
(b) At 90% confidence, what is the margin of error
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]
[tex]M = 0.03[/tex]
The margin of error is of 0.03.
Can someone answer part B for me? Thank you and will give brainliest.
Answers
Answer:
The answer to part B is B.
Step-by-step explanation:
Could you take another photo so I can see the bottom of the page?
Which of the points shown below are on the line given by the equation y = 4x?
Check all that apply.
Answers
Answer:
its B and C
Step-by-step explanation:
Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If the top 5 percent and bottom 15 percent are excluded for an experiment, what is the bottom cutoff heights to be eligible for this experiment? Round your answers to one decimal place.
Answers
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that [tex]\mu = 69, \sigma = 2.8[/tex]
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.037 = \frac{X - 69}{2.8}[/tex]
[tex]X - 69 = -1.037*2.8[/tex]
[tex]X = 66.1[/tex]
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
what is 18 + (31-19) x 3
Answers
Answer:
18+(93-57)
18+(36)
54
Step-by-step explanation:
Multiply before addition.Using bodmas
(a)(-5a)
I have to find the product and simplify the answer. Can anyone please help me?
Answers
Answer:
-5a*a^2
Step-by-step explanation:
(a)(-5*a)
-5a*a^2?
The points (-1,-3, -1,7) Is located in which quadrant
Answers
Answer:
-1,-3 is on quadrant 3
-1,7 is on quadrant 2
Step-by-step explanation:
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answers
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
Identify the cross section that results from slicing the three-dimensional figure.
A)
prism
B)
rectangle
square
D
triangle
answer is b
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i thing bbbbbbbbbbbbb
A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answers
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.
Answers
Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
standard form move decimal to the right 11 times, so 450000000000
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
Answers
6x1=6
7x4=28
Hence 6/28 is the area
PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
the triangles are not congruent, type in NEI
Answers
Answer:
Step-by-step explanation:
the first picture shows that two sides are the same and one angle so you know it's a SAS, the one tick mark and that the two trialge share one common side is how you know 2 sides are the same, and the 90 ° corner symbol shows you know an angle in each , that is also the same.
the second picture shows 3 sides the same so SSS, the triangles share one side, and have the tick marks, showing that each of the respective sides are the same.
:)
What is her average?
Answers
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
1
Pierre and Jen collect badges. Pierre has 3 times as many badges as Je
This can be shown by p= 3j, where p = the number of badges
Pierre owns and j = the number of badges Jen owns.
If Pierre has 12 badges, how many does Jen have?
Answers
Pierre and Jen collect badges. Pierre has 3 times as many badges as Je
This can be shown by p= 3j, where p = the number
2 of 8
An object has a mass of 540 kg and a volume of 6 m3.
Find the density of the object in m3.
kg/m3
Answers
answer is 90Kg/m3
use this formula : Density = mass / volume
Which question is a statistical question?
How old is the class guinea pig?
O How many calories are in a particular egg?
How many jellybeans are in the classroom jar?
O How tall are African giraffes?
Answers
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Answer:
Step-by-step explanation:
what is x +4z-5-3x, when x=2 and z=3x?
Answers
Answer:
15
Step-by-step explanation:
x=2,z=6
2+6(4)-5-3(2)
2+24-5-6
26-11
15
x = 2 & z = 3x
Solution : - ⇒x + 4z - 5 - 3x⇒(2) + 4(6) - 5 - 3(2)⇒2 + 24 - 5 - 6⇒26 - 11⇒15Calculate the approximate distance point A (5,3, -2) and point B (2, -4, 8) are from the origin. Round to the
nearest tenth.
How much farther from the origin is point B than point A?
3.0 units
3.7 units
4.7 units
O 5.7 units
Answers
Answer:
3.0 units
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Origin:
The origin is given by point (0,0,0).
Distance of point B to the origin:
Since the origin is all 0, just put the points into the square root.
[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]
9.2 units.
Distance of point A to the origin:
[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]
How much farther from the origin is point B than point A?
9.2 - 6.1 = 3.1 units
So approximately 3 units.
Answer:
a
Step-by-step explanation:
Is 2.6 > 2.59? Help me asap. Also is 2.09 = 2.9? Here is some help by a pic
Answers
Answer:
2.6>2.59 - Yes
2.09=2.9- No
megan has a rope 14.35 and she cut it in 7 pieces how long is each piece ?
Answers
Here's link to the answer:
tinyurl.com/wpazsebu
Answer:
2.05
Step-by-step explanation:
14.35 ÷ 7 = 2.05Susie is paying $568.97 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answers
Multiple 12 by 30 because 12 is how many mouths is in a year and she is paying for 30 once you multiply that you multiple what ever you got by 568.87
Answer:
Step-by-step explanation:
Take the paying multiply by months then take the years - the total loan
so you'd have 568.97(12)30-150000=54829.20
I need help I'll give out 40 points quickly
Answers
Answer:
The figure in the upper right corner.
A trapezoid has two parallel sides
Step-by-step explanation:
Answer:
The answer would be the shape on the right side on the top! NOT THE Rectangle (on the right bottom side) or the rhombus (on the left top side). The shape on the left bottom side IS a trapezoid.
Hope that helps. And this wasnt worth 40 points, it was only 5 points!?