Answers
Answer:
[tex](x+6) (x^2-6x+36)[/tex]
Step-by-step explanation:
Use the identity [tex]a^3+b^3[/tex] × [tex](a^2-ab+b^2)[/tex] and the fact that [tex]216=6^3[/tex]
we have that,
[tex]x^3+6^3=(x+6)(x^2-6x+36)[/tex]
Answer:
[tex] B. (x + 6)(x^2 - 6x + 36) [/tex]
Step-by-step explanation:
x^3 + 216
x^3 is the cube of x.
216 is the cube of 6.
This is the same as x^3 + 6^3 and follows the pattern
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]
[tex] x^3 + 216 = (x + 6)(x^2 - 6x + 36) [/tex]
Related Questions
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
Answers
Using Pythagorean triplet
[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]
[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]
[tex]\\ \sf\longmapsto AB^2=16-9[/tex]
[tex]\\ \sf\longmapsto AB^2=7[/tex]
[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]
Now time=35[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Answers
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
**25 POINTS**
Which of the following lists of ordered pairs is a function?
Answers
Answer: A
Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test
The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?
Answers
You can text me if you don’t understand anything
Consider triangle GHJ in the figure below.
please help :)
Answers
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answers
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
Which expression is equivalent to
Answers
X^4
Jdnzusjdnekdjdnkdkelef
I need help asap!!Explain how to do the problem
Answers
Answer:
Step-by-step explanation:
the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.
Will give brainliest to the first person
Answers
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answers
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.Factorize. a^4-a^2+2a-1
Answers
Answer:
(a²-a+1)(a²+a-1)
Step-by-step explanation:
[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]
PLEASE HELP DUE TODAY
Answers
Answer:
is it your homework?
Step-by-step explanation:
Match the expression with its name. 6x3 - 9x + 3
Answers
Answer:
x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3
Step-by-step explanation:
pls anyone.. I need it
Answers
Step-by-step explanation:
here u have answer of your question dear
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answers
Answer: Interest rate she needs to look for is 5%
Step-by-step explanation:
P = 5000
A = 5000*2 = 10,000
T = 20 yrs
R = ?
now
I = A-P
I = 10,000-5000
I = 5000
Now
R = 100*I/P*T
R = 100*5000/5000*20
so, R = 5%
Fergus has 314 cups of oats. She uses 223 cups of oats to make oatmeal bars, then borrows 1 cup of oats from her neighbor. She wants to make blueberry oat muffins. The recipe calls for 134 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?
�� Yes, she has 34 cup left.
�� No, she needs 34 cup more.
�� Yes, she has 16 cup left.
�� No, she needs 16 cup more
Answers
Answer:
No, she needs 1/6 cup more
Step-by-step explanation:
She has 3 1/4 cups
She uses 2 2/3
Subtract
3 1/4 - 2 2/3
Get a common denominator of 12
3 1/4 *3/3 - 2 2/3 *4/4
3 3/12 - 2 8/12
Borrow 1
2 12/12 +3/12 - 2 8/12
2 15/12 - 2 8/12
7/12
She borrows 1 cup
1 7/12
She needs 1 3/4 *3/3 =1 9/12
She is short
1 9/12 - 1 7/12 = 2/12 or 1 /6
Answer:
Yes, she will has 34 cups left
Step-by-step explanation:
Can some help me with this question :)
Answers
Answer:
3/7
Step-by-step explanation:
I think its only 3/7
Cause 9/18=1/2
3/5=0.6
2/10=1/5
and 8/24=1/3
Answer:
[tex] \frac{8}{24} [/tex]
[tex] \frac{2}{10} [/tex]
[tex] \frac{9}{18} [/tex]
I am so confused..please help 0-0
Answers
P(vowel) is 6/16 so 3/8.
P(consonant) is 10/16 so 5/8
P(what) is 7/16
P(heat) is 8/16 so 1/2
P(sauce) is 7/16
P(same) is 7/16
Please remember to always check! I could be wrong. I can assure you that numbers 1-3 are correct for what I listed but for the ones with the words, double check.
Help ASAP plssss! Thanks
Answers
Points are
(-2,-2)(4,4)[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]
[tex]\\ \sf\longmapsto \sqrt{72}[/tex]
[tex]\\ \sf\longmapsto 8.4[/tex]
How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
$13.1
Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?
40
80
100
120
Answers
Answer:
The answer to this question is 80 times.
Answer:
80
Step-by-step explanation:
Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?
Answers
Answer:
Vc. Tính giai cấp
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The product of 9 and y
Answers
Answer:9*y or 9y
Step-by-step explanation:
Simply Square Roots of 45
[tex] \sqrt{45} [/tex]
Answers
Answer:
[tex] 3\sqrt{5} [/tex]
Step-by-step explanation:
Find the largest factor of 45 that is a perfect square.
The factors of 45 are 1, 3, 5, 9, 15, 45.
The largest perfect square is 9.
Now breakup 45 into a product which has 9 as a factor.
45 = 9 * 5
[tex] \sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5} [/tex]
Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -9 < x < -2.
Answers
Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6
What is the length of ST?
Answers
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
What is the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin
Answers
Answer:
(-15,-15)
Explanation:
The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.
Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answers
Answer:
3 chocolate bars, and 2 graham crackers
Someone forgot the marshmallows...... :P
Step-by-step explanation:
Chocolate bars = 8 pack
Graham Crackers = 12pack
To have no crackers or chocolate left over, we need to find LCM
Factors of 8:
8, 16, 24, 32, 40, 48, 56, 72....
Factors of 12:
12, 24, 36, 48, 60, 72
The smallest LCM is 24
Chocolate bars:
24/8 = 3
Graham Crackers:
24/12 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
3 packs of chocolate and 2 packs of crackers
Step-by-step explanation:
the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:
Prime factors of 8: 2 x 2 x 2
Prime factors of 12: 2 x 2 x 3
multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.
If you need me to draw the factor tree, just ask.
An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?
Answers
Answer:
10 Km/h
Step-by-step explanation:
Let the speed of the container ship be y
The speed of the aircraft = y + 5
Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:
Speed of aircraft (Sₐ) = y + 5
Distance travelled (dₐ) = 450 Km
Time for aircraft (tₐ) =?
Speed = distance / time
Sₐ = dₐ / tₐ
y + 5 = 450 / tₐ
Cross multiply
(y + 5) × tₐ = 450
Divide both side by (y + 5)
tₐ = 450 / (y + 5)
Finally, we shall determine the speed of the carrier. This can be obtained as follow:
Speed of container ship (S꜀) = y
Distance travelled (d꜀) = 300 Km
Time for container ship (t꜀) = Time for aircraft (tₐ)
Time for aircraft (tₐ) = 450 / (y + 5)
t꜀ = tₐ
t꜀ = 450 / (y + 5)
Speed = distance / time
S꜀ = d꜀ / t꜀
y = 300 ÷ 450 / (y + 5)
y = 300 × (y + 5) / 450
y = (300y + 1500) / 450
Cross multiply
450y = 300y + 1500
Collect like terms
450y – 300y = 1500
150y = 1500
Divide both side by 150
y = 1500 / 150
y = 10 Km/h
Thus, the speed of the container ship is 10 Km/h.
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answers
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
