Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
Answers
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
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Answer: D.)
Step-by-step explanation: I got it right on the test!!
Related Questions
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answers
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answers
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
Travis made a business trip of
195.5 miles. He averaged
53 mph for the first part of the trip and
58 mph for the second part. If the trip took
3.5 hours, how long did he travel at each rate?
Answers
Answer:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare.
A)
1) 3, 5, 5, 5, 8, 11, 11, 11, 132) 3, 5, 5, 5, 8, 11, 11, 11, 20B)1) -20, 0, 0,0,15, 25, 30, 302) -40, 0,0, 0,15, 25, 30,30
C)
1) 0,2,4,6,8,10
2) 20, 22, 24, 26, 28, 30
D)
1) 100, 200, 300, 400, 500
2) 0, 50, 300, 550, 600
Answers
Answer:
hfiwadhcase9iskoalsuhc;AJDSLASHDOIAWNHEOJOSED
Step-by-step explanation:
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PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST
Answers
Answer:
102
Step-by-step explanation:
1.2*85=102
Answer:
Step-by-step explanation:
A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas
B. If you are using the 102 pizzas:
65/102= 63.73% of the 102 pizzas so a decrease.
If you are going by the 85 pizzas:
65/85= 74.47% decrease from original 65 pizza
[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answers
new width = 20x105% = 21cm
original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108
increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%
plzzz help
find the slope
Answers
PLEASE HELP!!!!! PEOPLE ARE GETTING THEM WRONG FOR ME!!!
Answers
Answer:
18 lawns
Step-by-step explanation:
Lets take the number of lands that would be mow(ed) in 36 hours as x
Hence,
[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]
Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answers
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
Write a equation
3. slope = 5, goes through the point (2,7)
Answers
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
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Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
Answers
1000/25=40
You’re welcome
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
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4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answers
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Answers
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
help! open the attachment below!
Answers
Answer:
yes it is
Step-by-step explanation:X=side lenghths 2/3
Y=perimeter 12/18
2 time 6=12 and 3 times 6=18 and it is paraticly telling you
2/6 and 3/6 i beleve i need a lil more info
How do I find the lcm of a number .
Can you please explain to me
Answers
Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
Answers
and also the fourth can not create a triangle as 8+4=12 and 14 is less than 12.
hope it helps!
how many miles are in 50 meters
Answers
Answer:
0.0310686
Step-by-step explanation:
ANSWER 0.0310686
Step-by-step explanation:
Eh- :P
Which one doesn't belong?Explain why
Answers
Answer:
6 or 33percent
Step-by-step explanation:
because he don't have a numerator
because he is not belong to the group the three is fraction and the first one is a percent
[tex]\huge\boxed{.6}[/tex]
Solution Steps:- Which doesn't belong -______________________________
- A rational number is a terminating or repeating decimal.
- An irrational number is when you can't write that number as a fraction.
Rational or Irrational: [tex]33[/tex]% = Rational number. ([tex]33[/tex]% = [tex]0.33[/tex], This is a terminating decimal.)[tex]\frac{1}{3}[/tex] = Rational number. ([tex]\frac{1}{3}[/tex] = [tex]0.3[/tex], This is a repeating decimal.)[tex]\frac{5}{3}[/tex] = Rational number. ([tex]\frac{5}{3}[/tex] = [tex]1.6[/tex], This is a repeating decimal.) [tex]\frac{}{.6}[/tex] = Irrational number. (You can't turn this into a true fraction, therefore it's irrational.)______________________________
Hope this helps!If you have anymore questions, or need help with anything else, feel free to ask!
7. You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be reported in feet using scientific notation.
Bonnewell’s Internet Company boasts that its wireless access points have the greatest range. The company claims that you can access its signal up to 3500 feet from its device. A competing company, Johnson’s Wi-Fi, has devices that extend to up to 700 feet.
Rewrite the range of each company’s wireless access devices in feet using scientific notation.
You can determine how many times greater the range of one Internet company is than the other by writing their ranges as a ratio.
Write and find the value of the ratio that compares the range of Bailey’s wireless access devices to the range of Bonnewell’s wireless access devices. Write a complete sentence describing how many times greater Bonnewell’s Wi-Fi range is than Johnson’s Wi-Fi range.
really need this
Answers
Answer: what is the question asking?
Step-by-step explanation:
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm
Answers
Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.
Which simulation design could she use to estimate the probability?
A. Number cube
Let 1,2,3,4 = rock
Let 5,6 = pop
Roll cube three times. Repeat.
B. Random Digits
Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop
Select three random digits. Repeat
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
D. Number cube
Let 1 = rock
Let 2 = pop
Roll cube three times. Repeat
Answers
Answer:
number cube
let even number= country
let odd number= not country
roll cube three times. repeat.
------------------------
Step-by-step explanation:
a p e x :))
The simulation design could she use to estimate the probability is;
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.
For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.
Looking at the options, the only one that corresponds to our simulation is option C.
Read more about probability simulation at; https://brainly.com/question/10333446
I need help and thanks in advance
Answers
Step-by-step explanation:
b²-4ac
(10)²-4(-4)(-8)
=100+16+32
=148
A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?
Answers
Answer:
C this is a double blind study.
Step-by-step explanation:
Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.
Answer:
observational study
Step-by-step explanation:
the experimenters are not blind to their own tests.
What is the orders pair that is a solution to this equation, y=x+2
Answers
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
What is the Equation of this Trend line
K=_ J+_
Answers
Answer:so the standard form is y = mx + b
m is the slope (rise/run)
b is the y-intercept or where the slope intercepts the y-axis
so you end up with
k = (4/-2)j + 24
simplify this to
k = -2j + 24
Step-by-step explanation:
Find the cardinal number of the given set.
A = {{3, 5, 7, ... 25}}
Answers
Answer:
12Step-by-step explanation:
The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;
A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}
Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12
Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last
Answers
Answer:
The treats will last 12 days.
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours? A y=55x+190 B y=55x+45 C y=45x+190 D y=45x+55
Answers
Answer:
The linear function that models the charge for hiring the technician for x hours is y=45*x + 55
Step-by-step explanation:
The linear function is defined by the equation
f(x) = mx + b or y = mx + b
where m is the slope of the line and b is the y-intercept.
In this case you want to represent a linear function that models the charge for hiring the technician for x hours, that is, y represents the charge for hiring the technician and x the number of hours.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the equation of the line first knowing the slope m by:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
In this case, the points are:
(x1,y1)= (3,190)(x2,y2)= (7,370)So:
[tex]m=\frac{370-190}{7-3}[/tex]
Solving:
m=45
To obtain the value of b, once you have replaced the value of m in the equation, you must substitute the values of x and y for the values of the coordinates of one of the points, and solve for b to obtain its value. In this case you replace the value of point 1:
[tex]y=45*x+b[/tex]
[tex]190=45*3+b[/tex]
And you get:
190= 135 + b
190 - 135= b
55= b
So, the linear function that models the charge for hiring the technician for x hours is y=45*x + 55
We want to find a linear equation that models the charge for hiring the technician for x hours.
The correct option is D, the equation is:
y = ($45/h)*x + $55
We know that a general linear equation is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we have two points, one given by:
(3 hours, $190)
The other given by:
(7 hours, $370)
Then the slope is given by:
[tex]a = \frac{\$ 370 - \$ 190}{7h - 3h} = \$ 45/h[/tex]
This means that he charges $45 per hour.
Replacing that in the general equation we get:
y = ($45/h)*x + b
To find the value of b, we use the fact that he charges $190 for 3 hours, then we can solve:
$190 = ($45/h)*3h + b
$190 = $135 + b
$190 - $135 = b = $55
Then the equation is:
y = ($45/h)*x + $55
So the correct option is D.
If you want to learn more, you can read:
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Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answers
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
Find the volume of the prism
Answers
Answer:
do you have an image for that?
Step-by-step explanation: