Step-by-step explanation:
1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)
2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)
3. 7/p^4
What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.
The remainder of the equation is [tex]\rm x+1[/tex].
Given that,
When the equation is [tex]x^3+1[/tex] divided by [tex]x^2-x+1[/tex].
We have to determine,
The remainder for the equation?
According to the question,
The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]
Hence, The required remainder of the equation is [tex]\rm x+1[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
Answer: a
Step-by-step explanation:
on edge
Annie, Brianna & Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 boxes of fruit. Carly has sold ten more than three times Brianna's sales. Brianna sold five more than Annie. How many boxes of fruit did Carly sell?
Step-by-step explanation:
Annie = x
Brianna = y
Carly = z
Now,
x + y + z = 105 ...(1)
Carly has sold ten more than three times Brianna's sales.
z = 10 + 3y ...(2)
Brianna sold five more than Annie.
y = 5 + x ...(3)
Now,
z = 10 + 3y
z = 10 + 3(5 + x)
z = 10 + 15 + 3x
z = 25 + 3x
Now,
x + y + z = 105
x + (5 + x) + 25 + 3x = 105
5x + 30 = 105
5x = 105 - 30
5x = 75
5x/5 = 75/5
x = 15
So,
y = 5 + x
y = 5 + 15
y = 20
Now,
z = 25 + 3x
z = 25 + 3(15)
z = 25 + 45
z = 70
Thus,
Annie Sold 15 boxes
Brianna Sold 20 boxes
Carly Sold 70 boxes
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
Helppp it's due today
Answer:
x = 5 and y = 8.7
See attached image for working
Step-by-step explanation:
Since it's a right angle triangle you can use sin and cos.
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
Read morer about Percentages at; https://brainly.com/question/843074
solve the following equation
Answer:
X= -1/3 or 4
Step-by-step explanation:
Answer:
x =-1/3 and x=4
Step-by-step explanation:
solve by factoring:
separate into two equations:
3x+1=0
8-2x=0
(when the products of factors equals zero, at least one factor is zero)
3x=-1
x=-1/3
-2x=-8
x=4
Write an equation in slope intercept form for the graph of the line.
Answer:
y = 2x - 3Step-by-step explanation:
Slope intercept form:
y = mx + b, where m - slope, b - y-interceptTake two points from the graph:
(2, 1) and (3, 3)Find the slope:
m = (3 - 1)/(3 - 1) = 2/1 = 2Find the y-intercept using point (2, 1) and the equation above:
1 = 2*2 + bb = 1 - 4b = -3The line is:
y = 2x - 3Answer:
Y = 2x - 3 or Y = 8/3x - 3
Step-by-step explanation:
Y = mx + b
we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.
and thus we are 5 units away from 3 which is m = a/c = 8/3
m = 8/3
y = 8/3x - 3
it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2
and so the equation would turn out to be -
y = 2x -3
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?
Answer:
785 almonds
Step-by-step explanation:
157 x 5 = 785
How would you find the slope and the y-intercept for the equation y=2.50x+2.50?
Answer:
Slope = m = 2.50
Y-intercept = b = 2.50
Step-by-step explanation:
Given equation is:
[tex]y=2.50x+2.50[/tex]
Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:
Slope = m = 2.50
Y-intercept = b = 2.50
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.
Answer:
30000 is mean, 25000 is median
Step-by-step explanation:
Just a logical explanation
if you have a lot of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more
and with executives making a lot more, the mean is 30000
sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median
expand and simplify (x-2)³
Step-by-step explanation:
(x-2)³ = (x-2) × (x-2) × (x-2)
(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4
(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8
x³ -6x² +12x - 8
f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
Express 1 19/100 as a decimal
Answer:
1.19 if its not that its 0.19 but i believe its 1.19.
Step-by-step explanation:
Answer: 1.19 Is 1 19/100 as a decimal
Step-by-step explanation:
I’m in a rush and I need to find the answer quickly
Answer:
It would be
(1, -3) or D :]
first to solve right get brainlest
If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
Will Give Brainliest
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Use dist property
Subtract 3x from both sides
-3 = 3x - 60
Add 60 to both sides
57 = 3x
Divide both sides by 3
19 = x
Interpreting Composite Functions in the Real World
Try it
The volume of air in a balloon is represented by the function von = = nr?, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function rt) = 42
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements
Answer:
Answer is A and C on edge
Step-by-step explanation:
The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
What is composite function?When the two or more than two functions are written in the form of single function. Then such function is called the composite function.
Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,
[tex]f[g(x)][/tex]
The volume of air in a balloon is represented by the function,
[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]
Here, r is the radius of the balloon, in inches.
The radius of the balloon increases with time, in seconds, by the function,
[tex]r(t) = \dfrac{1}{4}t^2[/tex]
The composite function that can be used to determine the volume of the balloon after t seconds is,
[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]
After the 6 seconds,
[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]
Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.
Learn more about the composite function here;
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Write the integer from least to greatest. 4, 12, -12, -11
Answer:
-12, -11, 4, 12
Step-by-step explanation:
A negative number is less the higher it is, and a positive number is more the higher it is
a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.
Step-by-step explanation:
hope it will help you.....
What are objects that are 1 kg
Answer:
One liter of water.
A Pineapple.
A Bunch of Bananas.
A 1 liter bottle of water
(1-sin^2x) (1+tan^2x)=1
[tex]1 - sin {}^{2} x \times 1 + \tan( { }^{2} ) x = 1[/tex]
Prove that :
Please help i need the right one
[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]
L.H.S
[tex]\tt cos^2x \times sec^2x[/tex]
[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]
[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]
[tex]\tt 1[/tex]
R.H.S
Hence proved
Step-by-step explanation:
[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]
• Remember → 1 + tan²x = sec²x
[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]
• But sec²x → 1/cos²x
[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]
• Remember from the first identity of trignometry;
[ cos²x + sin²x = 1 ].
• Therefore: [ cos²x = 1 - sin²x ]
[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]
Hence proved.
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.
Step-by-step explanation:
the slower plane traveled x miles in 4 hours.
the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.
so,
x + x + 320 = 3800 miles
2x =3480 miles
x =1740 miles (in 4 hours) .
that means the slower plane's speed was 435 mph.
and the faster plane's speed was 435 + 80 = 515 mph.
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
[tex]\sf -9(8-2h)[/tex]
Answer:
[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]
Answer:
[tex]-72+18h[/tex]
Step-by-step explanation:
[tex]-9(8-2h)[/tex]
[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-9(8-2h)[/tex]
[tex]-9\cdot8=-72[/tex]
[tex]-9\cdot-2=18[/tex]
[tex]=-72+18h[/tex]
PLEASEE HELPP I FORGOT HOW TO DO DIS !
The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is
1/2 • 4.6 mm • 3.4 mm = 7.82 mm²
can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?
Answer:
[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
Step-by-step explanation:
[tex]128m^2n^5-200m^4n^3[/tex] <-- Given
[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²
[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³
[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8
[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares
Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]
round to the nearest percent. from 64 photos to 21 photos
Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71
