Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3


Help me please?

The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)

Now,

5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)

=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7

= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³  - 10x² + 35x + 2x - 7

=  5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6

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The coordinates for the center and length of the radius of this circle are equal to (½, 1), 2 units.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

In order to determine the coordinates for the center and the length of the radius of this circle, we would use completing the square method:

x² + y² - x - 2y - 11/4 = 0

x² - x + ¼ + y² - 2y = 11/4 + ¼

(x - ½)² + y² - 2y + 1 = 12/4 + 1

(x - ½)² + (y - 1)² = 4

Comparing with the standard form, we have:

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Complete Question:

A circle is defined by the equation given below.

x^2 + y^2 − x − 2y − 11/4 = 0

What are the coordinates for the center of the circle and the length of the radius?

Answer:

let the remaining sides be X and Y

perimeter = X + Y + 13

24 = X + Y + 13

11 = X + Y ---(1).

Area = 1/2 * base * height

24 = 1/2 * X * Y

XY = 48.-----(2)

solving eq 1 and 2

X + Y = 11

XY = 48

Xy + y² = 11y

Xy = 48

y²= 11y - 48

y² -11y + 48 = 0

no real solution of this equation.

Answer:

Step-by-step explanation:

the triangle is NOT a 3–4–5 or multiple,

so it is not a right triangle or your data is wrong.

The correct answers are:

1. The equation |-x -4| = 8 will have two solutions. (True)

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

1. The equation |-x -4| = 8 will have two solutions. (True)

|-x - 4| = 8

-x -4 = ±8

-x -4 = 8 and -x -4 = -8

-x = 8 + 4 and -x = -8 + 4

-x = 12 and -x = -4

x = -12 and x = 4

Therefore, it has two solutions x ∈ {-12, 4}

2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)

|(1/2)x - 3/4| = 0

(1/2)x - 3/4 = ±0

Since ±0 is the same

(1/2)x = 3/4

x = 2X3/4

x = 3/2

Therefore, it has one solution x = 3/2

4. The equation |2x – 10| = –20 will have two solutions. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

|0.5x – 0.75| + 4.6 = 0.25

|0.5x – 0.75| = 0.25 - 4.6

|0.5x – 0.75| = -4.35

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)

|(1/8)x - 1| = 5

(1/8)x - 1 = ±5

(1/8)x - 1 = 5 and (1/8)x - 1 = -5

(1/8)x = 5 + 1 and (1/8)x = -5 + 1

(1/8)x = 6 and (1/8)x = -4

x = 6X8 and x = -4X8

x = 48 and x = -32

Thus, it has two solutions x ∈ {48, -32}

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Answer:

See below

Step-by-step explanation:

q = quarters       value   = .25 q

n = nickels =  4q     value = .05 (4q)

    summed = 12.60

.25q   + .05(4q) = 12.60      <====== can be used to solve the problem

.45q = 12.60

q = 28     quarters     then nickels = 4q = 112  

Answer:

y = 5

Step-by-step explanation:

Since the lines are parallel, same side interior angles are supplementary.

That allows us to solve for x.

7x + 17 + 5x - 5 = 180

12x = 168

x = 14

The angles 23yand 5x - 5 are supplementary, so the sum of the measures equals 180°.

23y + 5x - 5 = 180

We already know that x = 14.

23y + 5(14) - 5 = 180

23y = 115

y = 5

The functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.

It should be noted that a function simply means an equation where the x that is plugged into the equation will yield exactly on e y from the equation.

In this case, the functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.

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Answer:

Step-by-step explanation:

Hi, let me help you out.

First I'm going to turn the verbal phrase into an algebraic phrase...

21+n=37. here n is the unknown number

Next, I believe you need to find what n equals.

This can be done by subtracting 21 from both sides.

n=37-21

n=16

Thus the number we need is 16.

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The total pounds of fruits bought if he buys 2 pounds of apples and 3 pounds of blueberries is $16.75.

The total pounds of fruits bought if he buys x pounds of apples and y pounds of blueberries is $3.50x + $3.25y.

The total pounds of fruits bought = (pounds of apples x cost per pound) +  (pounds of blueberries x cost per pound)

($3.50 x 2) + (3.25 x 3)

$ 7 + 9.75 = $16.75

($3.50 x x) + (3.25 x y)

$3.50x + $3.25y

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Step-by-step explanation:

if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____

-8/25

24/5

-24/25

8/25

The correct answer for this question is 8/25

Answer:

-x - 3

Step-by-step explanation:

1) Distribute

(3x+3)-(4x+6)

3x + 3 - 4x - 6

2) Subtract the numbers

3x + 3 - 4x - 6

3x - 3 - 4x

3) Combine like terms

3x - 3 - 4x

-x - 3

Answer:

B) 2y² - y - 6 = 0

Given following:

Insert equation 1 into 2:

Put in second

Answer:

[tex]\fbox {DF = 20}[/tex]

Step-by-step explanation:

Given :

Step 1 : Find RT

Step 2 : Find SF

Step 3 : Find RY

Step 4 : Find TY

Step 5 : Find DF

Answer:

DF = 20

Step-by-step explanation:

Triangle SDF has side lengths SD, DF, SF.

Triangle RTY has side lengths

RT = (9/4)SD

RY = (9/4)SF

TY = (9/4)DF

"SF is 2 less than RT" Given

SF = RT - 2

SF = (9/4)SD - 2

"SD = 8" Given

SF = (9/4)(8) - 2

SF = 16

"TY is 9 more than RY" Given

TY = RY + 9

(9/4)DF = (9/4)SF + 9

(9/4)DF = (9/4)(16) + 9

(9/4)DF = 45

DF = 45 × 4/9

DF = 20

The plot represent the data A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Given:

12 points

21 points

29 points

17 points

24 points

23 points

28 points

According to the given data,

A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.

The box extends from 17 to 24 on the number line.

A line in the box is at 23 The whiskers end at 12 and 28.

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The direct distance form A to C is represented by the inequality

AC < 40 yards.

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Distance form point A to B is 15 yards

Distance form point B to C is 25 yards.

Distance AC = ?

In a Triangle the sum of two sides is always greater than the third side.

Therefore

AC < 15 +25

AC < 40 yards.

Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.

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Answer:

choice C

Step-by-step explanation:

x could be any number except -1.

Cause for x=-1 the denominator becomes undefined.

Solution: 8p+44

Detailed explanation:

First we can "expand" by multiplying 6 times the parentheses and then 2 times the other set of parentheses.

[tex]--\mapsto\boldsymbol{6(p+6)+2(p+4)}\\\\---\mapsto\boldsymbol{6p+36+2p+8}[/tex]

To make life easier let's just put the p's next to each other.

[tex]--\mapsto\boldsymbol{6p+2p+36+8}[/tex]

Now let's add the p's

[tex]---\mapsto\boldsymbol{8p+44}[/tex]

Voila! There's our answer!

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Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

____________________

Answer:

0.75

Step-by-step explanation:

slope is the coeffecient of x when the equation is in the order yb= mx + b

3x - 4y = 7

-4y = 7 - 3x

4y = 3x - 7

y = (3x - 7) / 4

y = 3x / 4 - 7 / 4

slope = 3/4

[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]

There are smooth exponential curves that control price performance, capacity, and bandwidth so it easy to predict the cost of something in the future. He said, "When people think about the future they think about it lineraly.

Answer: the number of seconds after the rocket is released

Answer:

0.32

Step-by-step explanation:

2^3 = 2*2*2 = 8

5^2 = 5*5 = 25

------------------------------

8/25 = 0.32

The mistake she had done is she should have reversed the inequality as per the division property of inequality.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The inequality is:

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

Given:

Jamie had $500 in her savings account.

She wants to have at least $200 left in the account at the end of the school year.

The inequality she had done is

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

But when she was dividing she should have reversed the inequality as per the division property of inequality.

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Answer:

d

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

You are rolling three die three times

a die has six sides

to obtain the sample space

we would have to multiply 6 x 6  x 6

which could account for the three roles which would be equivalent to the sample space

6^3