Answers
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Answer:
-8(x^2 - 1)
Step-by-step explanation:
(x^2 + 3)^2 and (x^2 - 1)^2 are both squares of binomials. The first step here is to expand both:
-(x^2 + 3)^2 = -x^4 - 6x^2 - 9
(x^2 - 1)^2 = x^4 - 2x^2 + 1
Combine the two right-hand expressions, obtaining:
-8x^2 - 8 or -8(x^2 - 1)
This -8(x^2 - 1) is the simplest form of the given expression.
If desired, -8(x^2 - 1) can be factored: -8(x - 1)(x + 1)
Related Questions
4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
Answers
Answer:
5 times
Step-by-step explanation:
What we need to do here is to find the lowest common multiple of 7,8,11 and 12
This is;
1848
Now, let’s calculate the number of seconds in 3 hours
In 1 hour, we have 3600 seconds
In 3 hours, this will be;
3600 * 3 = 10,800 seconds
So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds
Mathematically, that will be;
10,800/1848 = 5.844
Our answer will be 5 times however
This is because the sixth time they would have sounded together would be more than the 3 hours time frame
Which of the following lines is parallel to the line represented by 2y=4x+6?
y = -2x - 10
y = -3x + 10
y = 3x +10
y = 2x - 10
Answers
asap.?
anyone please
Answers
If 12x - 3 = 17 + 7x, find the value of x.
Answers
Answer:
value of x is 4
Step-by-step explanation:
12x-3=17+7x
12x-7x=17+3
5x=20
x=4
Answer:
4
Step-by-step explanation:
Given that:
12x - 3 = 17 + 7x
Collect like terms
12x - 7x = 17 + 3
5x = 20
Divide both sides by 5
5x / 5 = 20 / 5
x = 4
Hence, x = 4
Which is a complete list of factors of each term in the expression 16 a + 18 a b?
16a: 1, 2, 4, 8, 16
18ab: 1, 2, 3, 6, 9, 18
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, b
16a: 2, 4, 8, a
18ab: 2, 3, 6, 9, a, b
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, a, b
Answers
Answer:
d
Step-by-step explanation:
Answer:
the answer is d.
Step-by-step explanation:
There are 37 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 12 students taking yoga, 18 taking bridge, and 19 taking painting. There are 9 students taking at least two classes. How many students are taking all three classes
Answers
Answer: 3 students
Step-by-step explanation:
You can solve this using the expression;
Total = A + B + C - Both - all - neither
Where A, B and C represent those taking one class
As each student must take at least 1 class, there is no 'neither'.
37 = 12 + 18 + 19 - 9 - All
37 = 40 - All
All = 40 - 37
All = 3
Answer:
3
Step-by-step explanation:
I added the number of students enrolled in each class. It equaled 49.
I subtracted the number of students from that amount
49-37= 12
I subtracted the number of students enrolled in two or more classes
12-9= 3
3 are enrolled in 3 classes
I need help with it i don’t know how to do it
Answers
Answer:
What do you mean? Like you need to specify your question...
Step-by-step explanation:
what do you mean by that?
Solve x2 - 13x + 30 = 0
Answers
Answer:
or, x2-(2-15)x +30= 0
or, x2-2x-15x + 30= 0
or,x(x-2)-15(x-2)=0
or, (x-2) (x-15)=0
either, or,
x-2=0 x-15=0
Answer:
x2-(10+3)x+30=0
x2-10x-3x+30=0
x(x-10)-3(x-10)=0
(x-10)(x-3)=0
either, or,
x-10=0 x-3=0
x=10 x=3
therefore,x=10,3
In a bag of trail mix, the ratio of raisins to M & M's is 2,3. Which fraction represents the ratio of raisins to M & Ms.
Answers
Answer:
...you may want to check my explanation...
Step-by-step explanation:
If the ratio of raisins to M&Ms in a bag of trail mix was 2:3, that means that there are 2 raisins for every 3 M&Ms. This means that in a bag of 100 items, there would be 40 raisins and 60 M&Ms. I'm not sure what the ratio would be as a fraction (maybe 2/3?), but I do know that the fraction for the number of raisins in the whole bag is 2/5 and the fraction for the number of M&Ms is 3/5.
Hope this helps!
(If the answer is even right, that is...)
Find the answer (5x) + (4x) + (6y)
Answers
Answer:
9 x + 6 y
Step-by-step explanation:
A fireplace burn 6 same-sized logs in 3 hours. How many logs does the fireplace burn in 9 hours?
Answers
Answer:
18 logs
Step-by-step explanation:
because 9 is three times 3, just multiply the 6 by three as well.
WILL GIVE BRAINLIEST TO WHOEVER WRITES AN ACCURATE EXPLANATION FOR THIS QUESTION!
Answers
Answer:
Doy puntos gratis si quieres
Step-by-step explanation:
An item is regularly priced at $25. It is now priced at a discount of 60% off the regular price. What is the price now? $
Answers
Answer:
$15 is the sale price
Step-by-step explanation:
Is this a parallelogram if so by which theorem
Answers
Answer:
Egghead
Step-by-step explanation:
and by the opposite sides being equal length meaning the lines can go forever and ever and never touch
Determine the value of y, if x is -2.
y = |x – 12|
Answers
Answer:
y=14
Step-by-step explanation:
65% of 40 is what number?
ahh this was supposed to be done yesterdayyy..
Answers
Answer:
65% of 40 is 26
26 is answer
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 40.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$40=100\%$.
Step 4: Similarly, $x=65\%$.
Step 5: This results in a pair of simple equations:
$40=100\%(1)$.
$x=65\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{40}{x}=\frac{100\%}{65\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{40}=\frac{65}{100}$
$\Rightarrow x=26$
Therefore, $65\%$ of $40$ is $26$
Sam had 48 stickers to put on the walls in his bedroom. He divided the stickers
evenly among the 4 walls of his room. How many stickers did he put on each wall?
32
24
16
12
Answers
Answer:
48/4
12 he divided the stickers
evenly among the 4 walls of his room
Isabel is mailing packages. Each small package costs her $2.50 to send. Each large package costs her $4.20. How much will it cost her to send 1 small package
and 3 large packages?
Answers
Answer:
15.10$
Step-by-step explanation:
you would multiply 4.20x3 and 2.50x1 get the product of both answers and add them im pretty sure.
Please help me!!!!! I will give 15 points
Answers
Answer:
Step-by-step explanation:
all of them could be made into a difference of squares since they all have a minus sign in the expression, but maybe the question is if they can easily be made into a difference of squares.
with that said
[tex]y^{4}[/tex] -2 => [tex](y^{2}) ^{2}[/tex]- [tex](\sqrt{2}) ^{2}[/tex] could be a difference of squares but not easy
25[tex]m^{2}[/tex][tex]n^{4}[/tex] - 1 => (5m[tex]n^{2}[/tex])^2 - [tex]1^{2}[/tex] yes and pretty easy
[tex]p^{8}[/tex] - [tex]q^{4}[/tex] => [tex](p^{\sqrt{8} } )^2[/tex]-[tex](q^{2})^2[/tex] could be but not easy
16[tex]x^{2}[/tex] - 24 => [tex](4x)^{2}[/tex] -[tex](\sqrt{24}) ^{2}[/tex] could be but not easy
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answers
Answer: Than did not use 0.06 for 6 percent.
Step-by-step explanation:
From the question, we are informed that Than computed 6 percent of 38 as 6 percent of 38 = 0.6 times 38 = 22.8.
His above solution is wrong. We should note that:
6% × 38
= 6/100 × 38.
= 0.06 × 38
= 2.28
The mistake that he made was that Than did not use 0.06 for 6 percent.
Answer:
b
Step-by-step explanation:
edge
helppppo plss
zoom in on picture if u need but i need answer soon
Answers
Answer: third number line
Step-by-step explanation:
work out the coordinates of c
the answer
Answers
Answer:
y = 30- 2 = 28
28/4=7
So 7 per side of the square. x would then be 27-7-7= 13 counting from the top
y would be 2+7+7=16
(13,16)
Put each line into slope-intercept form:
1. y=x + 3
2. 3x + 3y = -9
Can someone help me
Answers
Step-by-step explanation:
Slope-intercept form: y = mx + c
y = x + 3 is already in this form.
3x + 3y = -9,
3y = -3x - 9
y = -x - 3.
What is the distance between (–4, –10) and (–4, –4)?
Answers
Answer:
6 units
Step-by-step explanation:
(-4 , -10) ; (-4 , -4)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]= \sqrt{(-4-[-4])^{2}+(-4-[-10])^{2}}\\\\= \sqrt{(-4+4)^{2}+(-4+10)^{2}}\\\\=\sqrt{0+(6)^{2}}\\\\= \sqrt{36}\\\\= 6[/tex]
Answer:
6 units
Step-by-step explanation:
edge2021
jOE TRAVEL TO SCHOOL ON A BUS. ON ANY DAY THE PROBABILITY THAT HE MISSES THE BUS IS 1/3. WHAT IS THE PROBABILITY THAT HE WILL MISS THE BUS ON TWO CONSECUTIVE DAYS AND THE PROBABILITY THAT HE WILL MISS THE BUS ON ONE DAY OUT OF TWO CONSECUTIVE DAYS
Answers
Answer:
1/6 of 2 dayas an 1/3 on 1 day
Step-by-step explanation:
if a watch loses 30 seconds every 1 hour .if the watch was set right on sunday at 11:30pm what time did it show after 10hrs
Answers
Answer:
9:25
Step-by-step explanation:
Answer:
9:25 am
Step-by-step explanation:
losing 30 seconds every hour would be the same as losing one minute every 2 hours
since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes
instead of 9:30am it is 9:25 am
A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equation best represents the total cost, y, of the backsplash?
Answers
Answer: y = 150 + 2.75x
Step-by-step explanation:
Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:
y = 150 + 2.75x
where,
x = number of square foot.
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128, ...
Then find a6. Round to the nearest tenth if necessary.
Answers
Answer:
Equation: x(n)=2*4^(n-1)
a6=2048
Step-by-step explanation:
Take note that the common ratio is 4 because 2*4=8, 8*4=32, 32*4=128, and so on...
We will use the equation x(n) = ar^(n-1) where n represents the nth term, r stands for the common ratio, and "a" stands for the first term. We use (n-1) because ar^0 is for the 1st term
Given the first term is a=2, the common ratio is r=4, then we have the equation x(n)=2*4^(n-1)
So, 128*4=512 would be the 5th term, and the 6th term would be 512*4=2048
So a6=2048
We want to find an equation and the sixth term of the given geometric sequence.
The equation is:
[tex]A_n = 4*A_{n-1}[/tex]
And the sixth term is equal to 512
Geometric sequences.In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]A_n = k*A_{n-1}[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
8 = k*2
8/2 = 4 = k
Now we know the value of the constant, then the general formula is:
[tex]A_n = 4*A_{n-1}[/tex]
Now we can use this to get the sixth term:
[tex]A_6 = 4*A_5 = 4*128 = 512[/tex]
If you want to learn more about geometric sequences, you can read:
https://brainly.com/question/9300199
Can someone please help me. I will mark Brainliest if correct. Thanks!!
Answers
9514 1404 393
Answer:
3.4 < x < 7.2
Step-by-step explanation:
The length of the third side of a triangle is always between the sum and difference of the lengths of the other two sides.
Here, the difference is 5.3 -1.9 = 3.4; the sum is 5.3 +1.9 = 7.2. So the length of the third side must satisfy ...
3.4 < x < 7.2
_____
Additional comment
The difference in side lengths is what you get when the shorter side is folded over the longer one. The excess of the longer over the shorter is the difference. If the triangle is to have non-zero area, the third side must be longer than that.
The sum of side lengths is what you bet when the two given sides are laid end-to-end. If the triangle is to have non-zero area, the third side must be shorter than that.
These statements are variations on the "triangle inequality", which states that the sum of any two sides must exceed the third. (That will always be the case if the sum of the shortest two sides exceeds the longest.)
A proportional relationship between the number of pounds of pickling cucumbers (x) and the price in dollars (y) can be graphed, and the ordered pair (6, 4) would be on the graphed line.
Part A: What is the price of 1 pound of pickling cucumbers? Show your work. (8 points)
Part B: What does the ordered pair (12, 8) on the graph represent? Explain in words. (2 points)
Answers
Part A: What is the price of 1 pound of pickling cucumbers?
Answer: after surveying the selection, we discovered that 1 pound is equal to 6 to 7 pickling cucumbers that are 3 to 4 inches in length. We decided to use 1 pound of pickling cucumbers for ours calculation sample.
Part B: What does the ordered pair (12, 8) on the graph represent?
Answer: number are plotted on graph quadrants in what are known as ordered pair. An ordered pair consists of two values, x and y. In an ordered pair, x is always the first value and y is always the second value.
Step-by-step explanation: I think this is what you want, hope this help