Answer:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
This can be written as the difference of 2 squares:
(a^4 - 8a^2b^2 + 16b^4) -81
= (a^2 - 4b^2)^2 - 81
=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]
= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
The factorized form of the given expression will be as:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The expression is given in the question as:
(a⁴ - 8a²b² + 16b⁴) - 81
We have to determine the factorized form of the given expression
As per the given question, the required solution would be as:
(a⁴ - 8a²b² + 16b⁴) - 81
This can be written as the difference between 2 squares:
⇒ (a² - 4b²)² - 81
⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]
⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ2
Please help is this undefined or 0?
Answer:
0
Step-by-step explanation:
A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Answer:
0
Step-by-step explanation:
Undefined slopes are vertical, this is horizontal
hope this helps
write the slope intercept form of the equation of each line
Answer:
7) y= -2x + 2
8) y= -2x + 1
Step-by-step explanation:
On a farm 14 goats are male, and 11 of them are female goats. What percentage of these goats are male
Answer:
14/0.25=56% of goats are male
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Add the number of female and male goats (25), then divide the number of male goats (14) by 25 and you get 56%
at least how many hours of sleep do students ages seven to twelve need per night
A seven
b eight
C nine
d ten
Answer:
10 hours
Step-by-step explanation:
ok
1 y=8x + 5
Linear or non-linear
2 y= -x + 5
3 y=0.75x - 2
4 y = -2x exponent 2 + 1
Thanks for the help with this stander mastery
At a local amusement park 70% of the rides are 48 inches taller if there are 80 rides in total how many are made for kids who are 48 inches and taller?
Answer:
56 rides
Step-by-step explanation:
Total number of rides = 80 rides
If 70% of the rides are 48 inches taller, the total number of rides 70% taller wil be;
Rides 48 inches taller = 70% * 80
Rides 48 inches taller = 0.7 * 80
Rides 48 inches taller = 56
Hence the total rids made for kids that are 48inches taller is 56 rides
A pizza buffet has prepared 18 pizzas to place on the line at the beginning of lunch at 11:00 a.M. The equation y 14x + 18 can be used to describe the total number of pizzas that have been placed out on the buffet line, where x represents every 9 minutes after 11:00 a.M. Which statement best describes the rate of change in the number of pizzas set out on the buffet?
Answer: b. Every 18 minutes, 28 more pizzas were set out on the buffet.
Step-by-step explanation:
The equation is in the form: y = mx + c
m is the gradient which represents the rate of change per a given value of x.
x here is every 9 minutes after 11:00. Every 18 minutes therefore will give x a value of 2 because 18/9 = 2.
The rate of change every 18 minutes is therefore;
= 14 * 2
= 28 pizzas
5/30 = x/90
solve for X
it is reduced I think. so the answer would be 10
A gear rotates eight times every 15 seconds how many seconds does it take to rotate 24 times
Answer:
360
Step-by-step explanation:
Answer:
It would take 45 seconds for a gear to rotate 24 times.
Step-by-step explanation:
8 goes into 24 three times. Just multiply 15 by three.
Hope this helps!
2x – 3 = 7.
What’s the answer
Answer: The answer is x=5
Step-by-step explanation: 2x-3=7
+3=+3
2x=10
x=5
Ill give brainly for the best one hurry!
Answer:
20
Step-by-step explanation:
20 may be answer for this may be
ASAP can someone help and explain this to me
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
Enter your answer in the box.
Answer:
6%
Step-by-step explanation:
percent = part/whole * 100%
percent = 912/15,200 * 100%
percent = 6%
Need help ASAP please
Answer:
$45
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio.
$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus
3 parts = 3 × $15 = $45 ← amount David received
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?
Answer:
8 cm and 15 cm
The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle BC = 8 cm
The height of the triangle be AB = x cm
The hypotenuse of the triangle AC = 17 cm
So , for the triangle to be a right angle triangle ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
So , AB² = AC² - BC²
On simplifying the equation , we get
AB² = 17² - 8²
AB² = 289 - 64
AB² = 225
Taking square roots on both sides of the equation , we get
AB = 15 cm
Therefore , the value of x is 15 cm
Hence , The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
To learn more about triangle click :
https://brainly.com/question/16739377
#SPJ2
\begin{aligned} 4{,}570=& 4 \text{ thousands} + 5 \text{ hundreds} + 7 \text{ tens} \\\\ 4{,}570=& 3 \text{ thousands} +\bigstar\text{ hundreds} + 7 \text{ tens} \end{aligned} 4,570= 4,570= 4 thousands+5 hundreds+7 tens 3 thousands+★ hundreds+7 tens ★ =
Need help pleaseeeee:)
Answer:
75 + 64 = 139
Step-by-step explanation:
The measure of the exterior angle is 139
Answer:
2= 139
Step-by-step explanation:
A triangle is 180 degrees.
64+75= 139
180-139=41
A line is also 180 degrees
180- 41= 139
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
look at picture correct answer gets brainlist
Answer:
option C is correct
4 degree polynomial with 4 terms
Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 100 random tests. For example, if the probability of success is 0.20 and the number of trials is 100, then the number of successes is 20.
give a real answer please this is important for my grade
Step-by-step explanation:
How do you calculate number of successes?
Example:
Define Success first. Success must be for a single trial. Success = "Rolling a 6 on a single die"
Define the probability of success (p): p = 1/6.
Find the probability of failure: q = 5/6.
Define the number of trials: n = 6.
Define the number of successes out of those trials: x = 2.
Binomial probability distribution for the given set of data is
[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex].
What is binomial probability distribution?"Binomial probability distribution is the representation of a probability with only two outcomes success and failure under given number of trials."
Formula used
Binomial probability distribution is given by
[tex]\\n{C}_{x}p^{x}q^{n-x}[/tex]
n= number of experiments
x = 0, 1, 2, 3,.......
p = probability of success
q = probability of failure
According to the question,
Number of trials 'n' = 100
Probability of success 'p' = (20 / 100)
= 0.20
Probability of failure 'q' = 1 - p
= 1 - (20/100)
= (80 / 100)
Substitute the value in the formula we get
Required probability = [tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]
Example:
Tossing a coin 6 times getting exactly two heads.
Number of trials 'n' = 6
Number of heads 'x' =2
Only two possible outcomes head or tail
Probability of getting head 'p' = 1 / 2
Probability of not getting head 'q' = 1 /2
Required probability = [tex]\ 6C_{2[/tex] (1/2)²(1/2) ⁶⁻²
=[tex]\ 6C_{2[/tex] (1/2)⁶
Hence, binomial probability distribution for the given set of data is
[tex]\ 100C_{x[/tex][tex]( 0.20)^{x} (0.80)^{100-x}[/tex]
Learn more about binomial probability distribution here
https://brainly.com/question/14210034
#SPJ2
What are the slope and the y-intercept of the linear function that is represented by the table?
х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.
Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")
It's false and same lol
A recipe for a loaf of bread calls for 2/3of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
Answer: 18 loaves of bread.
Step-by-step explanation:
Do 12 divided by 2/3 which is the same thing as multiplying 12 by the reciprocal (just flip the fraction) of 2/3 which is 3/2. 12x3/2 is 36/2 which is equal to 18.
Han wants to buy a $30 ticket to the game but the pre-order tickets are sold out he knows that there will be more tickets sold the day of the game with a mark up of 200% how much should han accept To pay for the tickets if he buys it the day of the game
Answer:
Solution in photo
Step-by-step explanation:
Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)
Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Step-by-step explanation: Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
2
:
Equation at the end of step 2
(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
3
:
Equation at the end of step 3
((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
4
:
Multiplying Exponential Expressions:
4.1 Multiply (x-4) by (x-4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-4) and the exponents are :
1 , as (x-4) is the same number as (x-4)1
and 1 , as (x-4) is the same number as (x-4)1
The product is therefore, (x-4)(1+1) = (x-4)2
Equation at the end of step
4
:
(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
5
:
5.1 Rewrite (1-x) as (-1) • (x-1)
Multiplying Exponential Expressions:
5.2 Multiply (x-1) by (x-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are :
1 , as (x-1) is the same number as (x-1)1
and 1 , as (x-1) is the same number as (x-1)1
The product is therefore, (x-1)(1+1) = (x-1)2
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
-x - 2 = -1 • (x + 2)
Multiplying Exponential Expressions:
7.2 Multiply (x + 2) by (x + 2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+2) and the exponents are :
1 , as (x+2) is the same number as (x+2)1
and 1 , as (x+2) is the same number as (x+2)1
The product is therefore, (x+2)(1+1) = (x+2)2
STEP
9
:
Pulling out like terms
9.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Multiplying Exponential Expressions:
9.2 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)(1+1) = (x+3)
((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
10
:
Equation at the end of step 10
(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
11
:
STEP
12
:
Pulling out like terms
12.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
12
:
((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
13
:
STEP
14
:
Pulling out like terms
14.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
14
STEP
15
STEP
16
:
Pulling out like terms
16.1 Pull out like factors :
-x - 4 = -1 •
Equation at the end of step
16
:
STEP
17
:
STEP
18
:
Pulling out like terms
18.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Multiplying Exponential Expressions:
18.2 Multiply (x + 4) by (x + 4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
Equation at the end of step
18
:
(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)
STEP
19
:
STEP
20
:
Pulling out like terms
20.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Multiplying Exponential Expressions:
20.2 Multiply (x + 1) by (x + 1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+1) and the exponents are :
1 , as (x+1) is the same number as (x+1)1
and 1 , as (x+1) is the same number as (x+1)1
The product is therefore, (x+1)(1+1) = (x+1)2
Equation at the end of step
20
:
((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)
STEP
21
:
21.1 Rewrite (2-x) as (-1) • (x-2)
Multiplying Exponential Expressions:
21.2 Multiply (x-2) by (x-2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-2) and the exponents are :
1 , as (x-2) is the same number as (x-2)1
and 1 , as (x-2) is the same number as (x-2)1
The product is therefore, (x-2)(1+1) = (x-2)2
22.1 Multiply (x-3) by (x-3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-3) and the exponents are :
1 , as (x-3) is the same number as (x-3)1
and 1 , as (x-3) is the same number as (x-3)1
The product is therefore, (x-3)(1+1) = (x-3)2
Final result :
(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Write an equation of the line that passes through (-2,3) and (0,8).
Answer: y = 5/2 x + 8
Step-by-step explanation:
Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2
y = 5/2 x + b
8 = 5/2 (0) + b
8 = b
y = 5/2 x + 8
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answer:
Step-by-step explanation:
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain your reasoning.
Answer:
34 ounces were in the full bottle , The second time he poured about 7.48 ounces
Step-by-step explanation:
20 times 5 = 100 so,
6.8 times 5 = 34
PART 2
Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48
Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)} Only A Only B Both A and B Neither A nor B
Answer:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BStep-by-step explanation:
A function relates an input to an output.
For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function
h (age) = age × 30
Therefore, if the age of the animal is 3 years, the height is:
h(3) = 3 × 10 = 90 cm
Set A
A = {(1, −5), (8, −5), (8, 7), (2, 9)}
Please check that there are duplicated inputs.
i.e. x = 8 is appeared twice.
Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set A of ordered pairs does not represent a function.
Set B
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}
Please check that there are duplicated inputs.
i.e. x = 7 is appeared twice.
Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.
Therefore, the set B of ordered pairs also does not represent a function.
Conclusion:
We conclude that Neither A nor B represents the function.
Hence, the correct option is:
Neither A nor BHow many albums are in Sal’s collection?
Answer:
too hard!! (jkk)
Step-by-step explanation:
188 albums.
Add all numbers together and you should get 188