Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 6 x cubed + 15 x squared + 20 x + 36 Over 3 x squared + 7 EndFraction? 2 x + StartFraction A Over 3 x squared + 7 EndFraction 2 x + StartFraction A x + B Over 3 x squared + 7 EndFraction 2 x + 5 + StartFraction A Over 3 x squared + 7 EndFraction 2 x + 5 + StartFraction A x + B Over 3 x squared + 7 EndFraction
Answer:
The answer is "quotient =2x+5 and remainder =6x+1".
Step-by-step explanation:
Some of the data is missing that's why defined this question as follows:
Given:
[tex]\to \frac{6x^3+15x^2+20x+36} {3x^2+7}[/tex]
when we divide the above value it will give the quotient =2x+5 and remainder =6x+1.
Answer:
D: 2x+5+(Ax+B)/3x^2+7
Step-by-step explanation:
I somehow got 100 on the quiz
can you help me with this
Answer:
option A
Step-by-step explanation:
X - 2Y = Z
[tex]\left[\begin{array}{cc}b&a\\4&a\\\end{array}\right]-2\left[\begin{array}{ccc}c&d\\a&b\end{array}\right]=\left[\begin{array}{ccc}a&c\\16&b\end{array}\right] \\\\\left[\begin{array}{cc}b&a\\4&a\\\end{array}\right]-\left[\begin{array}{ccc}2c&2d\\2a&2b\end{array}\right]=\left[\begin{array}{ccc}a&c\\16&b\end{array}\right] \\\\[/tex]
4 - 2a = 16
-2a = 16 - 4
-2a = 12
a = 12/-2
a = -6
a - 2b = b
-6 - 2b = b
-6 = b + 2b
-6 = 3b
-6/3 = b
b = -2
b - 2c = a
-2 - 2c = -6
-2c = -6 +2
-2c = -4
c = -4/-2
c = 2
a - 2d = c
-6 - 2d = 2
-2d = 2 + 6
-2d = 8
d = 8/-2
d = -4
one number is two more than triple a second number. Their sum is 30. what is the smaller number
Answer:
7
Step-by-step explanation:
We can solve this problem by making an equation.
Let x represent the second number
3x + 2 will be the first number because it is 2 more than triple x
This makes our equation:
3x + 2 + x = 30
Combine like terms
4x + 2 = 30
Subtract 2 from both sides
4x = 28
Divide both sides by 4
x = 7
The smaller number aka the second number is 7
Someone please help me(Ik it’s not B)
Answer:
D
Step-by-step explanation:
point slope form is y - y1 = m (x - x1)
so substitute your values to get y + 5 = 5/7 (x - 8)
Kayla's backyard is a rectangle with dimensions of 18 feet by 22 feet. If she covers the ground with a circular hot tub with a diameter of 14 feet, what is the approximate area of the ground, in square feet, that remains exposed?
If you take a number, times by 3 then subtract 6. You get the same as if you took the number, times by 7 then subtract 2. What is the number?
Answer: -2
Step-by-step explanation:
The number i pick is 2 so...
2(3)=6
6-6=0
0x7=0
0-2=-2
The number I got was -2
Three partners x,y and z con an amount of kush 1400000 for an investment .The profit from the investment is to be shared based on contribution of each.A profit of kush 250000 after one month.If x got 60000 ,y 110000 and the remainder was Z. Calculate the ratio of the contribution
Answer:
The ratio of the contribution in the order x:y:z is;
6:11:8
Step-by-step explanation:
Herr, we want to know the ratio of the contribution
The title profit is 250,000
What Z got will be;
250,000-60,000-110,000 = 80,000
So the ratio of the contribution following x,y,z will be ;
60,000:110,000:80,000
= 6:11:8
71.9 divide by 8 using long division.
Answer:
8.9875
Step-by-step explanation:
Answer:
8.9875
calculators solve (almost) every problem
it's from the chapter : "exponents and powers"
i need the workings too
please help
Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
Have a wonderful day ask me if you have more questions about MATH that goes for anyone who needs math help
determine the order of the following differential equations and whether they are linear or non linear. 2nd order nonlinear 1. (1 y2)d2ydt2 tdydt y
(a) Linear differential equation of second order
(b) Linear differential equation of second order
(c) Linear differential equation of fourth order
(d) Non-linear differential equation of first order
(e) Non-linear differential equation of second order
(f) Linear differential equation of third order
(g) (a) and (d) are initial value problems
Differential equations are sometimes described as equations containing the derivatives of one or more dependent variables with respect to one or more independent variables. An ordinary differential equation is one that contains just one independent variable.The order of a differential equation is the highest differential coefficient.Degree is the power of the highest order derivative when the differential equation is in polynomial form.An initial value problem (IVP) in multivariable calculus is an ordinary differential equation with an initial condition that determines the value of the unknown function at a specific location in the domain.To learn more about calculus, visit :
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NEED HELP ASAP PLEASE HELPPPP!!!
The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse. Use paper to show your work.
Answer:
800
Step-by-step explanation:
800
Answer:
Length is 67
Step-by-step explanation:
For the show your work bit, your gonna wanna divide 4288 by 64 to get 67 as your length. Then draw your rectangle with the 64 square feet on one side and put a w next to it. Then on the next side write 67 square feet with an L next to it. Hope this helped!!
Which function is equivalent to g(x) = x2+ 15x - 54?
Answer:
g(x) = (x+18) (x-3)
Step-by-step explanation:
x²-3x+18x-54
x(x-3)+18(x-3)
(x-3)(x-18)
The function equivalent to [tex]g(x) = x^{2} +15x-54[/tex] is [tex](x - 3) (x- 18)[/tex].
Here, the function is given as;
[tex]g(x) = x^{2} +15x-54[/tex]
What is Function?
A function is defined as a relation between a set of inputs having one output each.
Now, function is given as;
[tex]g(x) = x^{2} +15x-54\\g(x) = x^{2} +18x-3x-54\\g(x) = x(x+18)-3(x+18)\\g(x) = (x+18)(x-3)[/tex]
Hence, The function equivalent to [tex]g(x) = x^{2} +15x-54[/tex] is [tex](x - 3) (x- 18)[/tex].
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Find the slope and y-intercept of the graph of the equation.
y = 9x - 8
Select the correct choice and fill in any answer boxes in your choice below.
O A. The slope is
O B. The slope is undefined.
Answer:
A
Step-by-step explanation:
Answer:
Slop is 9
the y is (0,-8)
Step-by-step explanation:
Cereal - 13.8 ounces for $4.14 =
Answer:
30¢ per ounce
Step-by-step explanation:
I'm not exactly sure what your asking, but I'm going to assume that your asking for the unit price.
[tex]\frac{4.14}{13.8}=0.3[/tex]
It costs $5.67 for 3 gallons of gas. What will be the cost of 8 gallons of gas if the cost varies directly with the number of gallons purchased?
Answer:
$15.12
Step-by-step explanation:
5.67/3=1.89
1.89x8=15.12
5.
Consider the diagram on the right. Classify each triangle as equilateral,
isosceles, or scalene.
12
AIHG:
G
H
8V3
AHJI:
AKHI:
K
8
AHJK:
Answer:
IHG= scalene
HJI= isosceles
KHI= scalene
HJK= equilateral
If f(-5) = 0, what are all the factors of the function f(x) = x2 - 19%+30? Use the Remainder Theorem.
Answer:
A. (x – 2)(x + 5)(x – 3) on edg
Step-by-step explanation:
took the test
Answer:
(x – 2)(x + 5)(x – 3)
The histograms and summary statistics summarize the data for the number of hits in the season by baseball players on two different teams.
Team A
Mean: 151.15
Median:148
Standard Deviation: 26.83
Minimum:29
Q1: 136
Q3: 167
Maximum: 207
Team B
Mean:163.25
Median:157
Standard Deviation:24.93
Minimum:136
Q1:145
Q3: 178
Maximum:256
A.Each data set contains one outlier. if the outliers are removed, which would be more likely to change significantly: the mean or the median? is the standard deviation or interquartile range more likely to change significantly?
Answer:
the answer is 25th to the power
Step-by-step explanation:
the answer
Work out the difference between 88.1 and 2.81
Answer:
85.29
Step-by-step explanation:
88.1 - 2.81
What is the range of tan x?
1) all real numbers
2) -1
3) y>0
Answer:
all real Numbers may be
Theresa is an accountant who works 57.25 hours a week. Theresa earns $30 per hour as an accountant, and her overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Theresa earn each week?
$1,952.25
$1,976.25
$1,986.25
$1,992.25
A line has an undefined slope and passes through the poimt (7,11) write the equation of the line
Answer:
x = 7
Step-by-step explanation:
An undefined slope indicates the line is vertical and parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (7, 11 ) with x- coordinate 7 , then
x = 7 ← equation of line
-1/2 =3/8 y solve for y
Answer:
y=8−3x
Step-by-step explanation:
What’s the answer? To this problem
Answer:
A . 9.45
Step-by-step explanation:
so 70 times 4.5% is 3.25 which is how much he gets a year . So now you can multiply it by 3 for 3 years which leaves you with 9.45.
What number makes the expressions equivalent?
1/2 (-1.4m + 0.4) = ?m +0.2
Your answer choices:
A) -1.4
B) 1.4
C) -0.7
D) 0.7
Answer:
b
Step-by-step explanation:
The number that makes the given expressions equivalent is -0.7.
What is an Algebraic expression?
An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
1/2 (-1.4m + 0.4) = ?m +0.2
Suppose the unknown number be x.
Then the given expression can be written as,
1/2 (-1.4m + 0.4) = xm + 0.2
=> -0.7m + 0.2 = xm + 0.2
=> -0.7m = xm
=> x = -0.7
Hence, the missing number in the given expression is -0.7.
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Please help I need to figure out the answer to this expression!!!
Answer:
2
Step-by-step explanation:
7*4-3*8+2^2-6
7*4-3*8+4-6
28-3*8+4-6
28-24+4-6
4+4-6
8-6
2
hey gus i have a end of half term test soon on maths do you know what the best way is to revise
☺
Answer:
You can go through your notes, go step by step of the equation to understand what you have to do
Step-by-step explanation:
Jessa completed a bike ride in 3 hours and 18 minutes. Write Jessa's biking time as a decimal to TWO decimal places.
if the sin of angle x is four fifths and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for
According to the given statement the value of sin x = 8/10
What is trigonometry?A mathematical field called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.
How is trigonometry applied in the real world?To roof a home, to make the roof slant (in the case of single-family bungalows), to determine the height of a roof in buildings, etc., use trigonometry. The naval and aviation industries use it. It's applied to cartography (creation of maps). Trigonometry is also used in satellite navigation systems.
According to the given information:sin x = 4/5
We know that:
Sin x = opposite/Hypotenuse.
So,
When the triangle is enlarged, the opposite side will increase to an angle of 8, and the hypotenuse will increase to an angle of 10.
= 4/5 we multiply by 2 with 4 and 5 we get:
= 8/10
4/5 will result from simplifying 8/10. Thus, nothing has changed.
So the value of sin x = 8/10.
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Find the 62nd term of the arithmetic sequence -27, -21, -15, ...
Answer:
a = -27
d = -21 - ( -27) => 6
a62 => a + 61 (d) +=> -27 + 61(6)
=> -27 + 366
=> 339
Answer:339
Step-by-step explanation:
its right :)