Answers
Answer:
y-3
Problem:
What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?
Step-by-step explanation:
Dividend=quotient×divisor+remainder
So we have
xy-3=(x-1)×(y)+remainder
xy-3=(xy-y)+remainder *distributive property
Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.
We need to get rid of minus y so we need plus y in the remainder.
We also need minus 3 in the remainder.
So the remainder is y-3.
Let's try it out:
xy-3=(xy-y)+remainder
xy-3=(xy-y)+(y-3)
xy-3=xy-3 is what we wanted so we are done here.
Related Questions
for what value of x does 4^x=(1/8)^x+5?
Answers
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Answer quick plsssssssssss thx
Answers
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answers
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
c. The sum of two number is 59. If the Smaller number is less than the bigger one by 7,find the number.
Answers
Step-by-step explanation:
Hi there!
According to the question;
The sum of two number is 59. And the Smaller number is less than the bigger one by 7,
Let the bigger number be "X" then smaller number will be x-7.
Then;
x + (x-7) = 59
2x = 59+7
X = 66/2
Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.
Hope it helps!
I need help with this question. Pls give me an answer /steps and explanations.
Answers
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
Express your answer using positive exponent.
[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]
adding power of common term and multiply constant term:
[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]
[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]
[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]
Answer:
[tex]30s^5t^9u^{10}v^8[/tex]
Step-by-step explanation:
We'll be using the following exponent property to solve this problem:
[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]
This will allow us to combine terms with the same variable.
In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].
Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.
Therefore, combine using the exponent property I mentioned above:
[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]
Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].
Combine using the exponent property:
[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]
Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:
[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]
[tex]v^7\cdot v=v^{7+1}=v^8[/tex]
Finally, combine all the terms together:
[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]
Y+y+y+y rewrite in multiplication
Answers
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
Do the activity please it's trigonometry
Answers
Answer:
SinA=k/g
cotA=k/j
secA=g/j
cosecB=g/k
tanB=l/k
cosB=k/g
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Generally, the ________ the sample, the more accurately it describes the population.
A. closer
B. better
C. smaller
D. larger
Answers
Answer:
The correct answer of this question is( larger)
may this answer is helpful for you
= X
20
100
60
Please help me
Answers
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
Which value is the closet approximation of the square root of 27
A 4.5
B 5
C 5.5
D 5.9
Answers
the actual answer is 5.1 so round it down and it is 5
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Answers
9514 1404 393
Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48|
Answers
Step-by-step explanation:
B ) |-12| < |-48|
because the signs are not taken on to consideration if we write in |
so hence B is right option
MARK AS BRAINLIST IF IT IS USEFUL
Find the equation of the linear function represented by the table below in slope-intercept form.
Help plzz will give brainiest
Answers
Answer:
y = 2x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 12-6)/(4-1)
= 6/3
= 2
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Using a point from the table
10 = 2(3)+b
10 = 6+b
10-6 = b
4=b
y = 2x+4
At a breakfast buffet, 63% of people choose coffee for their beverage while 23% choose juice,
Also, 20% choose both coffee and juice. What percentage of people chose coffee only
Answers
The percentage of people who chose only coffee will be 43%.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.
Also, 20% choose both coffee and juice.
Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.
⇒ 63% - 20%
⇒ 43%
Thus, the percentage of people who chose only coffee will be 43%.
More about the sets link is given below.
https://brainly.com/question/8053622
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Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II
Answers
Answer:
-irrational
-rational
-rational
-irrational
__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.
brainliest is appreciated :)
I need help to find Y =
Answers
Answer:
3
Step-by-step explanation:
Round 5,693.251 to
thousands
and
tenths
Answers
Answer:
5693.251 = 5693.251, rounded to thousands (no change)5693.251 = 5693.3 rounded to tenths (rounded up as hundredths digit is 5)Step-by-step explanation:
Nearest thousandth = 5693.251
Nearest tenths = 5693.3
O 131 If cos 23°=P, express without the use of a calculator the following in terms of p.
Cos203°
Answers
Answer:
cos203° = - p
Step-by-step explanation:
Using the addition formula for cosine
cos(a + b) = cosacosb - sinasinb
cos203°
= cos(180 + 23)
= cos180°cos23° - sin180°sin23°
= cos180°. p - 0
= - 1 . p
= - p
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
Answers
Answer:
Step-by-step explanation:
Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3
sin 0= 20/29. Find tan 0.
Answers
Answer: D) 20/21
Explanation:
Recall that sin(theta) = opposite/hypotenuse.
sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.
Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.
Once you determine that the adjacent side is 21 units long, we can then say,
tan(theta) = opposite/adjacent = 20/21
Answer:
D. 20/21
Step-by-step explanation:
Find the volume of this cone.
Use 3 for T.
12ft
12
5ft
V = Tr?
V [?]ft3
V
Answers
Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
10. A moving van company charges a fee of 35.00 dollars for the truck rental and 25 cents for every mile the truck travels from the loading location. Let y be the cost in dollars for using the truck for x miles. Write the slope-intercept form of the equation.
Answers
Answer:
y=0.25x+35
Step-by-step explanation:
if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35
Answer:
y = .25 x + 35
Step-by-step explanation:
Total cost = cost per mile * number of miles * flat fee
y be the cost in dollars
x = miles
y = .25 x + 35
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?
Answers
3x (x - 2) = x^2 - 4
Answers
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
What is the domain of the function shown in the table?
X
-2
-1
0
1
y
0
1
2
3
A. (-2,-1,0,1,2,3)
B. {-2, -1,0,1)
C. {0, 1, 2, 3)
D. (-2, 0),(-1,1),(0, 2), (1,3)
Answers
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answers
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
Answers
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answers
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answers
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
9. The ticket at right has a perimeter of 42 cm.
a) Calculate the unknown side length.
A = 42 - 11 x 2 = 20 / 4 = 5
b) Olivia wishes to decorate the ticket by placing a
gold line along the slanted sides. How long is the line on each ticket?
A =
c) A bottle of gold ink will supply enough ink to draw 20 m of line. How many bottles of ink should be purchased if 200 tickets are to be decorated?
A =
Answers
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:
[tex]Perimeter =2\times 11 + 4 \times L[/tex]
This gives
[tex]2\times11 + 4 \times L = 42[/tex]
[tex]22 + 4 \times L = 42[/tex]
Collect like terms
[tex]4 \times L = 42-22[/tex]
[tex]4 \times L = 20[/tex]
Divide both sides by 4
[tex]L =5cm[/tex]
(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:
[tex]Gold = 4 \times L[/tex]
[tex]Gold = 4 \times 5cm[/tex]
[tex]Gold = 20cm[/tex]
(c) The number of gold ink bottles.
[tex]n = 200[/tex] --- number of tickets
The length of all gold line in the 200 tickets is:
[tex]Length = 200 \times Gold[/tex]
[tex]Length = 200 \times 20cm[/tex]
[tex]Length = 4000 cm[/tex]
[tex]Length = 4000 \times 0.01m[/tex] ---- convert to meters
[tex]Length = 40m[/tex]
Given that:
[tex]Bottle = 20m[/tex] --- 1 bottle for 20 m
The number of bottles (n) is:
[tex]n = \frac{Length}{Bottles}[/tex]
[tex]n = \frac{40m}{20m}[/tex]
[tex]n = 2[/tex]
Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
https://brainly.com/question/6465134
