Answer:
(x²+1)(x²-1)⁶ = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1
Step-by-step explanation:
Pascal triangle 6th row for (a + (-b))⁶; ... for (x²-1)⁶
a⁶+6a⁵(b)¹+15a⁴(b)²+20a³(b)³+15a²(b)⁴+6a(b)⁵+1*(b)⁶ .. a=x² b = -1
= x¹²+6x¹⁰(-1)¹+15x⁸(-1)²+20x⁶(-1)³+15x⁴(-1)⁴+6x²(-1)⁵+1*(-1)⁶
= x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1
(x²+1)(x²-1)⁶ = (x²+1)(x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1)
= x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1
−0.18÷0.03 Write your answer in simplest form.
Answer:
-0.6
Step-by-step explanation:
Answer:
you just need to divide the two if I'm not missing anything -6
Step-by-step explanation:
-.18/.03 is -6
4m+2n=5n (solve for m)
Answer:
m=3n/4
Step-by-step explanation:
4m+2n=5n subtract 2n from both sides
4m= 5n-2n combine like terms
4m=3n divide by 4
m=3n/4
brainliest plz <3
Find the length of the third side. If necessary, round to the nearest tenth.
14
21
15.7
Step-by-step explanation:
rate as BRAINLIEST
[tex]a {}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a }^{2} + {(14)}^{2} = {(21)}^{2} [/tex]
[tex] {a}^{2} + 196 = 441 \\ {a}^{2} = 245 \\ \\ a = 15.65[/tex]
- 6x < 24
solve for x and what’s the solution?
Answer:
x > -4
Step-by-step explanation:
In order to get x by itself, you divide -6 on both sides. So, -6x divided by -6 = x and 24 divided by -6 equals -4.
However, the answer is not x < -4 because a rule of inequalities states that any time you divide or multiply both sides of an inequality by a negative number, the inequality sign is flipped. So, the answer is x > -4
Answer:
x > -4
Step-by-step explanation:
- 6x < 24
Divide each side by -6, remembering to flip the inequality
-6x/-6 > 24/-6
x > -4
Nelson went grocery shopping. He spent $199.89. If the sales tax is 3.5%, what is the amount of tax that Nelson must pay?
3.5% of 199.89 is 6.99615, so the amount of tax that Nelson has to pay is $6.99615. Though we can round the thousandths place for the cost to be $7.
Một cột đèn cao 7m có bóng trên mặt đất dài 4 m. Hãy tính góc (làm tròn đến phút) mà tia sáng mặt trời tạo với mặt đất
Answer:
tg a = 7/4 => a ≈ 60°15'. chúc bạn thành công.
Which graph represents the function of f(x) =
9x2 – 36/3x + 6?
Two golf balls are randomly selected from a bag that contains 3 Titlist, 5 Top Flite, and 2 Pinnacle golf balls.
If the first golf ball selected is not replaced before the second golf ball is selected, determine the probability that you select a Titleist and then a Top Flite. (Round your answer to 3 places after the decimal.)
Answer:
4.329
Step-by-step explanation:
The value of Hector's house has increased by 5%.
His house is now valued at £609 000
Work out the value of the house before the increase.
Answer:
$580000
Step-by-step explanation:
To find decrease we simply reverse the operations of increase
increase is x x 1.05 = 609000
x = 609000 / 1.05 = 580000 initial value
x= $580000
proof
580000 x 1.05 = 609000 new value
the instructions are to simplify , please help
Answer:
[tex] {3}^{3} \\ {g}^{5 } \\ a \\ {y}^{ - 2} \\ 1[/tex]
A box has a length of 30 inches, a width of 40 inches, and a height of 120 inches. Can a cylindrical rod with a length of 342.9 centimeters fit in the box?
Answer: 6 inches = 15.24 cm length
8 inches = 20.32 cm width
24 inches = 60.96 cm height
The diagonal along the side of the box = 20.32^2 + 60.96^2 = 4,129.024
square root (4,129.024) = 64.257 so the rod will fit diagonally.
Step-by-step explanation:
point to a parallel line (8,-8); 9x - 4y= 7
Answer:
y = 9/4x - 26
Step-by-step explanation:
9x - 4y= 7
-4y = -9x + 7
y = 9/4x - 7/3
y = 9/4x + b
-8 = 9/4(8) + b
-8 = 18 + b
-26 = b
If A(1/3.5, 5) and B(10,39)..
Find the slope
Answer:
b 1/3.5
Step-by-step explanation:
mathematics algebra essay
Answer:
The answer is D $3.35
Step-by-step explanation:
[tex]2.35 + .25x = 1.75 + .40x \\ 2.35 = 1.75 + .40x - .25x \\ 2.35 = 1.75 + .15x \\ 2.35 - 1.75 = .15x \\ .60 = .15x \\ \frac{.60}{.15} = x \\ x = 4[/tex]
[tex]2.35 + .25(4) = 2.35 + 1 = 3.35[/tex]
Answer number 10 please thank you
Answer:
125 blocks
Step-by-step explanation:
How long would an airplane flying non-stop at 250km per hour take to fly 1 million kilometers? Give your answer in days and hours.
Answer:
166 days 4000 hours
Step-by-step explanation:
(5,-8) and (2,-2) are on the line.
Answer:
I honestly dont know
Step-by-step explanation:
sorry I couldnt help
if i ate 2 dogs and started
off with 3 how many would i have?
Answer: 1
Step-by-step explanation:
find the equation of the line shown
Answer:
So Y always the double of x if x is 1 then y is 2 if x is 5 then y is 10 so the equation y=2x
Y= 2x
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
Step-by-step explanation:
a²+b²=c²
10²+12²=c²
100+144=c²
[tex]\sqrt{244} =\sqrt{c^2} \\\sqrt{4} \sqrt{61}=c\\2\sqrt{61}=c[/tex]
_______
[tex] \: [/tex]
x² = 12² + 10²
x² = 144 + 100
x² = 244
x = √244
x ≈ 2√61m
Factor the expressions
Please help
Answer:
[tex](x + 1)( {6x }^{2} - 2x)[/tex]
A website offers digital movie rentals for $2.95 per movie or a monthly subscription with unlimited movies for $12.95 per month. If Zara is a monthly subscriber, what is the minimum number of movies she must watch each month to save money compared to renting each movie separately?
Step-by-step explanation:
it would be merely 40%( rounding off)
Identify the transversal and classify the angle pair:
Answer:line l is the transversal because it intersect both sets of angles. and 7 and 11 are corresponding because they are in the same positions of the intersections.
Step-by-step explanation: usually a transversal is associated with parallel lines and corresponding angles are equal but this is not true with a triangle
please help! circled numbers only. tysm, will mark brainliest.
Answer:
Please mark as BRAINLIEST
Step-by-step explanation:
2) 1/5 = 3/15
4) 3/5 = 6/10
6) 8/9 = 32/36
8) 2/9 = 36/162
10) 5/12 = 30/72
12) 6/17 = 18/51
14) 9/15 = 3/5
16) 32/48 = 2/3
18) 54/72 = 3/4
20) 20/45 = 4/9
22) 3/4 = 24/32
Caravans use camels and wagons to travel on the Silk Road. Your caravan consists of 6 wagons. That's 1 more than c the number of camels. Write and solve an equation to find c
Answer:
5=c
Step-by-step explanation:
c= number of camels
6-1=c
5=c
11.63 - 6.7 I need the answer.
Answer:
5.56. I think that is the answer
Answer: 4.93
Step-by-step explanation:
Its mental math
Help stuck on this question
Answer:
< b = 73°
Step-by-step explanation:
The angle with a measure of < 73° has the same measure as < b because they are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Therefore, the correct answer is: < b = 73°
-9x²-11 = -452 solve to the nearest hundredth
Answer:
X = 7
Step-by-step explanation:
-9x^2 -11 = -452
+11 +11
____________
-9x^2 = -441
÷(-9) /÷ (-9)
____________
x^2 = 49
Square root for both
X = 7
7minutes for 3 songs =? Minutes for 6 songs
Step-by-step explanation:
7 minutes for 3 songs means for 6 songs it will take double the time since 6 is double of 3.
so 14 minutes for 6 songs
PLEASE HELP ME!!
SO HARD
Answer:
0.5
Step-by-step explanation:
4m⁻³n⁻⁵ when m is 2 and n is 1
→ Rewrite with values substituted in
4 × ( 2 )⁻³ × ( 1 ) ⁻⁵
→ Evaluate
0.5