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:

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

Answer:

The letter 'E' has exactly one line of symmetry passing from it's center.

Step-by-step explanation:

We are given the letter 'E' for checking whether it have symmetry.

For that, first of all let us understand what does line of symmetry means;

A line of symmetry is a line that separates an object into two identical sections that are mirror images of one another.

Now,

The letter 'E' has exactly one line of symmetry passing from it's center.

Furthermore, just like the letter 'E' various other letters also have exactly one line of symmetry.

For example, Letter A, B, C, D, E, K, M, have exactly 1 line of symmetry.

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Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

You would use the Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The a and b is the legs and the c is the hypotenuse

So when you fill it in you get [tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]c^{2}[/tex]

continue to solve the equation 4+25= [tex]c^{2}[/tex]

29 = [tex]c^{2}[/tex]

then you would square root it

c = [tex]\sqrt{29}[/tex]

Answer:

B = 2

Step-by-step explanation:

I used Desmos to get a visual representation to help.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Hope this helps!

The value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Therefore the value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

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Answer:

320

Step-by-step explanation:

hope it helps some one

Answer:

18

Step-by-step explanation:

116-98

so sorry if its incorrect

Answer:

34 degrees

Step-by-step explanation:

ahahah okay this is fun

so what you should do here is extend the line that passes through the 116 and 98 degree angle so that it passes the other parallel line.

It makes a triangle doesn't it

One of the angles is supplementary to 98, so 180-98 = 82 degrees.

Another one of the angles is the opposite angle to the supplementary angle of 116 (remember your line-intersecting-parallel-lines angles), therefore 180-116 = 64 degrees

The last angle of that triangle is the opposite to angle 4, and you can find that using the other two angles of the triangle we made earlier, which you get 180-82-64 = 34 degrees

12 - e < -2

- e < -2 - 12       Move 12 to subtract.

- e < - 14

e > 14     When the coefficient is in negative. Moving the negative as changing the sign of Inequality to opposite.

Therefore, the answer is e > 14

Answer:

2.25x+1.25y[tex]\leq[/tex]y

Step-by-step explanation:

Step one:

given data

the budget of y dollars

the coke cost $2.25 and

the tacos cost $1.25

Required:

the linear inequality based on the limited budget

Step two:

let the  number of coke be x

and the number of tacos be y

So the linear inequality is

2.25x+1.25y[tex]\leq[/tex]y

Answer:

The answer is 2.25x+1.25yy

Step-by-step explanation:

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

Answer: -8.5 or -17/2

Step-by-step explanation: you have to put the info into an equation. product of a number x and 7 is 7x. two less than mean subtracting two and 5 times the difference of x and 3 translates to 5(x-3). Once put into an equation, it'll look like 7x = 5(x-3) - 2. Now solve this equation for x and you'll end up with -8.5 in decimals or -17/2 in fractions.

Note: Its equilateral not equitorial triangle .

Given:

The statement is "An equilateral triangle has 3 medians".

To find:

Whether the given statement is true or false.

Solution:

Median of a triangle connected the vertex and midpoint of opposite side of the triangle.

We know that that every triangle has three medians.

In case of equilateral triangle, all sides and angles are equal and median is the height of the triangle.

So, an equilateral triangle has 3 medians.

Therefore, the given statement is true.

Answer:

78

Step-by-step explanation:

6x13=78

The solution to the graph of y = -2x2+4x+2 is -

The solution to the graph y = -2x + 1 is 0.5

The solution of the graph for the equations given refers to the point where the graph intersects the x axis. The equations given are of two types linear and non linear.

The linear equation is the straight line and non of the values has power greater than 1 while non  linear equations has powers greater than. When the power is two, the equation is termed parabolic equation this represents the non linear equation given here,

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Answer:

x = 5

Step-by-step explanation:

Solve for x:

-1 - 5 (-x - 1) + 4 x = 49

-5 (-x - 1) = 5 x + 5:

(5 x + 5) + 4 x - 1 = 49

Grouping like terms, 5 x + 4 x - 1 + 5 = (5 x + 4 x) + (-1 + 5):

((5 x + 4 x) + (-1 + 5)) = 49

5 x + 4 x = 9 x:

9 x + (-1 + 5) = 49

5 - 1 = 4:

9 x + 4 = 49

Subtract 4 from both sides:

9 x + (4 - 4) = 49 - 4

4 - 4 = 0:

9 x = 49 - 4

49 - 4 = 45:

9 x = 45

Divide both sides of 9 x = 45 by 9:

(9 x)/9 = 45/9

9/9 = 1:

x = 45/9

The gcd of 45 and 9 is 9, so 45/9 = (9×5)/(9×1) = 9/9×5 = 5:

Answer:  x = 5

Answer:

EVALUATE

=9x+4

St−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

EXPAND

=9x+4

−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product so options (b), (d), and (e) are not meaningful.

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

The dot product of two vectors gives scalar quantity while the cross product gives a vector quantity.

Now,

In option (B) ;

a Х (b . c) now here b . c is a scalar quantity and we can not cross multiply a scalar with a vector.

In option (D) ;

(a.b) Χ (c.d) where we cannot multiply two scalars by cross product.

In option (E);

a.(b.c) we can not multiply two scalars by the dot product.

Hence "The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product".

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The given question has a missing option which is given below,

Answer:

first one

Step-by-step explanation:

Answer:

m= -1

Step-by-step explanation:

-4m+5+2m = 3-4m
=> -4m+2m+4m = 3-5
=> 2m = -2
=> m = -2/2 = -1

Answer:

m = -1

Step-by-step explanation:

-4m + 5 + 2m = 3 - 4m

Add up light terms

-2m + 5 = 3 - 4m

Subtract 3 from both sides.

-2m + 2 = -4m

Add 2 to both sides.

2 = -2m

Divide both by -2

Final Answer: m = -1

Answer:

4x6=24, 7x3=21 6x3=18 for C and 5x3=15 for D

Step-by-step explanation:

Math has patterns!

The probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits approximately 32.9%

Probability:

Probability refers the possibility of occurring a particular event.

Binomial Probability:

Binomial probability refers the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times. The binomial is a type of distribution that has two possible outcomes.

The formula for the binomial probability is,

Pₓ = ⁿCₓ pˣ qⁿ⁻ˣ

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of success in a single experiment

q = Probability of failure in a single experiment

Given,

Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples.

Unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk.

Here we need to find the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits.

Apply the values on the formula,

Then we get,

=> Pₓ=⁵C₄ x (2/3)⁴ x (1/3)

=> Pₓ = 5 x (16/81) x (1/3)

=> Pₓ = 80 / 243

=> Pₓ ≈ 32.9%

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Answer:

20 years

Step-by-step explanation:

Given the ratio of their ages = 5 : 4 = 5x : 4x ( x is a multiplier )

Then in 5 years

5x + 5 : 4x + 5 = 6 : 5 , that is

[tex]\frac{5x+5}{4x+5}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

5(5x + 5) = 6(4x + 5) ← distribute parenthesis on both sides

25x + 25 = 24x + 30 ( subtract 24x from both sides )

x + 25 = 30 ( subtract 25 from both sides )

x = 5

Thus

Kiran's age is 4x = 4 × 5 = 20

Answer:

25, 21, 13, 5

Step-by-step explanation:

29-4x

x=1, 29-4=25

x=2, 29-8=21

x=4, 29-16=13

x=6, 29-24=5

The average rate of change for  f(x)=3x²-3 from x =1 to x=2 is 6.

What is the average rate of change?

The average rate of change is the rate at which the value of function changed per unit  of independent variable over a given interval. Let f(x) be a function and value of x changes from x₁ to x₂ then rate of change of f(x) over the interval (x₁, x₂ ) is

[f(x₂)-f(x₁)]/[x₂-x₁]

Average rate of change = [f(x₂)-f(x₁)]/[x₂-x₁]

Given function is

f(x)=3x²+3x-6

x changes from 1 to 2

Then average rate of change for f(x) is [tex]\frac{f(2)-f(1))}{2-1}[/tex]

[tex]f(2)=2^{2} +3(2)-6=4+6-6\\\\f(2)=4\\f(1)=1^{2}+3(1)-6 =1+3-6\\f(1)=-2[/tex]

Average rate of change for f(x) is

[tex]\frac{f(2)-f(1))}{2-1}=\frac{4-(-2)}{2-1}\\ =\frac{6}{1}[/tex]

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Answer: D.

Step-by-step explanation: Every min is 60 sec. Multiply that by 4, and then add that by 30. That equals 270 and that is lower than Wyatt's time.

Answer:

D. Wyatt had more playing time

Step-by-step explanation:

Answer:

It is =

Step-by-step explanation:

Because (6 x 1 = 6 ) + 1  x 1/100 = 6.1