Select the correct answer.
Which expression is equivalent to this polynomial?
(3x - √7i) ²
(3x + √7) ²
○ (3x + √7) (3x − √7)
1
(3x
+
+ √7i) (3x − √7i)
9x² + 7
Answers
The expression equal to 9x² + 7 is (3x+ √7i) (3x − √7i)
What is an expression?
An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)
Given, polynomial is 9x² + 7
by expanding (3x+ √7i) (3x − √7i)
by the identity
(a+b) (a-b) = a^2-b^2
(3x+ √7i) (3x − √7i)= (3x)^2-(√7i)^2
=9x^2-7(i)^2
= 9x² + 7
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Related Questions
Please help me with this
Answers
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
HELP PLEASE!!! (Look at the picture)
In the right triangle shown, what is the value of PQ?
P 17 cm
Q 15 cm
A. 2 cm
B. 4 cm
С. 8 cm
D. 16 cm
Answers
Step-by-step explanation:
it is c: 8cm
..................
Answer:
its c.......................
the difference between 58% of a number and 39% of the same number is 247. what is 62% of that number
Answers
Answer
62% of the number = 806
Explanation
We are told that that the difference between 58% of a number and 39% of the same number is 247.
We are then asked to compute 62% of the number.
Let the number be x.
From the first statement,
58% of x = 0.58 × x = 0.58x
39% of x = 0.39 × x = 0.39x
The difference between them is 247
0.58x - 0.39x = 247
0.19x = 247
Divide both sides by 0.19
(0.19x/0.19) = (247/0.19)
x = 1300
So, we can now calculate 62% of the number
62% of x = 0.62 × x = 0.62 × 1300 = 806
Hope this Helps!!!
HElp please!!! limits!!!
Answers
the answer word be b
I hope this help
9514 1404 393
Answer:
A) 0
Step-by-step explanation:
The expression can be simplified to ...
\(\displaystyle\frac{x}{\frac{1}{-1+x}+1}=\frac{x(x-1)}{1+x-1}=x-1\)
The value of this when x=1 is 0.
The limit is zero.
Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answers
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Answers
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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If f(n) = 2n^2 + 2n and g(n) = n + 1, what is (f ÷ g)(n) when n = -2?
Answers
Answer:
The answer is -4.
Step-by-step explanation:
Since its f/g, we know that f(n)= 2n^2+2n and g(n)=n+1.
N= -2. You will plug in all the values of n = - 2.
So...
2n^1+2n/n+1
2(-2)^2+2(-2)/-2-1 which will give you -4.
The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. Find the length and the width
Answers
Answer:
\(l = \boxed{167.}\\w=\boxed{40.}\)
Step-by-step explanation:
Since the perimeter is 414 meters, half of the perimeter is 207 meters. We can write the following equation and solve for h.
\(w + l = 207\\w + (4w + 7) = 207\\5w +7 = 207\\5w = 200\\w = \boxed{40.}\)
Here, we substituted 4w + 7 in place of l as the problem tells us that the length of the pool is 7 meters more than 4 times the width. Solving for the width gave us 40 meters.
Using this information, we can determine that the length of the swimming pool is:
\(4(40) + 7 = 160 + 7 = 167.\)
To double-check that this is correct, we can add twice the length and twice the width to see if it equals the given perimeter:
\(167 + 167 + 40 + 40 = 414.\)
Therefore, your length and width of this swimming pool are:
\(l = \boxed{167.}\\w=\boxed{40.}\)
What is the value of the expression below written in scientific notation
Answers
Answer:
B
Step-by-step explanation:
In the function y = 5x, what is the value of x?
1) 8
2) There is only one solution for x.
3) It can be any number.
4) It is unknown and can't be found.
Answers
Answer:
3) It can be any number
Step-by-step explanation:
Answer:
3) It can be any number
Step-by-step explanation:
Convert to slope intercept form: 3x-4y=8 then graph the line on the grid
Answers
Answer:
y=3/4x-2
a=(8/3,0)
b=(0,-2)
m=3/4
Step-by-step explanation:
STEP 1
3x-4y =8 substract 3x from both sides
-4y=-3x+8 divide -4 to everything
y=3/4x-2
STEP 2
substitute 0 for y and solve for a (x-intercept)
help me please i need help
Answers
Answer: yes they are equivalent
Step-by-step explanation: When you distribute both equations, you end up with 5m-10.
the age of some kids that partecipate to a race are
13 13 17 16 15 15 18 14 18 17 16 17 15 15 15 14 15 14 16 15
a) put from least to biggest, create a table and calcolate the absolute frequency, relative and percentual.
b) Reppresent graphically with a histogram the absolute frequency.
c) calcolate mode mean median
Calcolate the probability of having
d) 13 years old
e) 14 or 16 years old
f) doesn't have 15 years
I WILL GIVE BRAINLY IF YOU GIVE ME THE RIGHT ANSWERS
Answers
c) Mode: 15 (appears 6 times)
Mean: 15.25
Median: 15
d) Probability of being 13 years old: 2/20 = 0.1 or 10%
e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%
f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%
a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:
13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18
Age Absolute Frequency Relative Frequency Percentual Frequency
13 2 2/16 12.5%
14 2 2/16 12.5%
15 5 5/16 31.25%
16 2 2/16 12.5%
17 3 3/16 18.75%
18 2 2/16 12.5%
b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:
c) To calculate the mode, mean, and median:
Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.
Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:
(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3
Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.
d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):
Probability of 13 years old = 2/20 = 0.1 or 10%
e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):
Probability of 14 or 16 years old = 4/20 = 0.2 or 20%
f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):
Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%
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If test scores are approximately normally distributed with mean 82 and standard deviation 8, what score would correspond to the 80th percentile
Answers
Answer:
A score of 88.72 corresponds to the 80th percentile.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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 82 and standard deviation 8
This means that \(\mu = 82, \sigma = 8\)
What score would correspond to the 80th percentile
This is X when Z has a pvalue of 0.8, so X when Z = 0.84.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.84 = \frac{X - 82}{8}\)
\(X - 82 = 8*0.84\)
\(X = 88.72\)
A score of 88.72 corresponds to the 80th percentile.
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
Answers
9514 1404 393
Answer:
16 nickels
Step-by-step explanation:
Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...
$1.44/$0.09 = 16 . . . groups
Since there is 1 nickel in each group, Robert has 16 nickels.
Answer:
16
Step-by-step explanation:
A subway system has six stations, A, B, C, D, E, and F, where trains only run from:
A to B B to A B to c
C to D D to B D to E F to A F to E F to C E to D
Passengers can transfer to different trains within a station.
Which station is unreachable by train from any other station?
Answers
A metro station, often referred to as a subway station, is a railway stop for a rapid transit system, also known as a "metro" or "subway" in its whole.
What is the Subway transfer stations ?Several different types of transfer stations can be found in the New York City Subway:
When two or more stations are linked by a corridor inside fare control, the area is referred to as a station complex. When counting every station individually, there are 472 in the New York City Subway. There are 424 total stations when station complexes are treated as one station each.Two or more lines are served by the station. The MTA classifies it as one station, regardless of whether it has many levels or platforms next to one another. A station typically has one line to which each track belongs.Two or more services are provided by the station. Tracks may be shared between different services. You can find a list of New York City subway stations instead of these stations in this article.The Complete Question is Subway transfer stations.
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Please help if do 5 star for people who help for this question thank you
Answers
Step-by-step explanation:
francesca got home first i think
Answer:
Francesca got home first
Step-by-step explanation:
13 is less than 15
Which expression calculates the time in hours an object takes to travel 38 miles at a speed of 2 m/h ? (I NEED HELP ASAP)
A. 38:2
B. 38/2
C. 38+ 2
Answers
Answer:
Option B : 38/2 is the correct answer.
Step-by-step explanation:
Given that:
Distance to travel = 38 miles
Speed of object = 2 miles per hour
Distance = Speed * Time
To find the time, we will divide the distance by speed.
Time = \(\frac{Distance}{Speed}\)
Putting values of distance and speed in the formula.
Time = 38/2
Hence,
Option B : 38/2 is the correct answer.
3 times what equals -18
Answers
Answer:
-6
Step-by-step explanation:
Let "what" be termed as "x".
Set the equation:
3 * x = -18
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6*
*Note: When you divide a negative number with a positive number, your answer will be negative.
-6 is your answer.
~
The value of number which is 3 times to -18 is -6 .
Given,
3 *x = -18
So,
Let "what" be termed as "x".
Form the equation including the variable x ,
3 * x = -18
Isolate the variable, x.
Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:
(3x)/3 = (-18)/3
x = -18/3
x = -6
-6 is the required answer .
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Is this correct ?
F(4)=2(4 -1) (4-5)
F=-0.6666
Answers
How can you interpret the inequality?-4x<8-4 times x is less than 8-4 times x is less than or equal to 8-4 times x is greater than or equal to 8-4 times x is greater than 8
Answers
Okay, here we have this:
Considering the provided inequality we are going to interpret it, so we obtain the following:
We can see that the symbol of the inequality is only the smallest, so it means that what is on the left side of the symbol is less than what is on the right side, obtaining the following:
-4 times x is less than 8
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
Answers
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answers
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
What is the value of 6/7 + 8/21
Answers
Answer is 26/21
Or 1 5/21
3y-1/3=5
*we have to figure out the value of y*
Answers
Answer:
To solve for y in the equation:
3y - 1/3 = 5
First, we need to isolate the term containing y by adding 1/3 to both sides of the equation:
3y - 1/3 + 1/3 = 5 + 1/3
Simplifying the left-hand side:
3y = 5 + 1/3
Next, we need to isolate y by dividing both sides of the equation by 3:
3y/3 = (5 + 1/3)/3
Simplifying the right-hand side by finding a common denominator:
3y/3 = (15/3 + 1/3)/3
3y/3 = 16/3
Simplifying the left-hand side:
y = 16/9
Therefore, the solution to the equation 3y - 1/3 = 5 is y = 16/9.
Step-by-step explanation:
5. [(-30 + +6) + -4] x -2 = ?
Answers
the correct answer is -56
please help i dont know what it is i think 324 but someone let me know how to do it
Answers
Answer: 3
Step-by-step explanation:
A = 3 × (1ft)²
A = 3 × 1 ft²
A = 3ft²
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
Answers
9. Find the measure of angle
a
36°
57°
Answers
Answer:
no clue bro
Step-by-step explanation:
In this picture, m∠XOZ = 70° and m∠YOZ = 37°. If m∠XOY = (5x + 16)°, what is the value of x?
Answers
Answer:
x = 3.4
Step-by-step explanation:
You have the value of xoz = 70, yoz = 37 and xoy = 5x+16
Set your formula up as
xoz = yoz + xoy
70 = 37 + 5x + 16
70 - 37 - 16 = 5x
17 = 5x
17 / 5 = x
3.4 = x
\(\huge\bold{Given :}\)
m∠XOZ = 70°
m∠YOZ = 37°
m∠XOY = ( 5x + 16 )°
\(\huge\bold{To\:find :}\)
The value of x°.
\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)
\({\boxed{\mathcal{\red{The\:value\:of\: x° \:is\:3.4° .\:}}}}\)✅
\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)
We know that,
\(\sf\pink{m∠XOZ\:=\:m∠YOZ\:+\:m∠XOY}\)
➪ 70° = 37° + 5x° + 16°
➪ 5x° + 53° = 70°
➪ 5x° = 70° - 53°
➪ 5x° = 17°
➪ x° = \( \frac{17° }{5} \)
➪ x° = 3.4°
\(\sf\red{Therefore, \:the\: value \:of \:x°\: is \:3.4°.}\)
\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)
✒ 70° = 37° + 5 x 3.4° + 16°
✒ 70° = 37° + 17° + 16°
✒ 70° = 70°
✒ L. H. S. = R. H. S.
\(\boxed{Hence\:verified.}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)
