The slope of the line below is -4. Which of the following is the point-slope
form of the line?
(2,-8)

Answer:

AAA

Step-by-step explanation:

yesss

If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].

x + a is factor of equations  [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]

Polynomial equation is equation of independent variables.

Putting it in both the equations

[tex]x^2+px+q=0[/tex]                          
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]  

[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]

subtracting (2) from (1)

[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]

Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].

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Answer:

$ 63

Step-by-step explanation:

Let the new price ( price after the discount ) be x.

Old price                    Discount                     New price

 100                              30                                  70

  90                               30                                   x

Now we can make an expression like this to solve this

100  ⇒  70

90  ⇒ x

Use cross multiplication to solve for x.

100x = 70 × 90

100x = 6300

Divide both sides by 100.

x = $ 63

Answer:

Discount: $27.00

Final Price: $63.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 90 × 30/100

Discount = 90 x 0.3

You save = $27.00

Final Price = Original Price - Discount

Final Price = 90 - 27

Final Price = $63.00

Answer:

19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57

Considering the area of a rectangle, the equation that could be used to determine the width for which the costs are the same is:

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

The area of a rectangle of length l and width w is given by the multiplication of dimensions, that is:

A = lw

In this problem, the dimensions are given as follows:

w = x, l = x + 5.

Hence the area in square feet is:

A = x(x + 5) = x² + 5x.

Then the costs are given as follows:

The costs will be equal when:

A(x) = B(x)

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

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Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Answer and Step-by-step explanation:

There is a cube with side length 3. The volume of this cube is 27.

Answer:

C: 3/5.79=13/x

Step-by-step explanation:

Two ratios are said to be in proportion when the two ratios are equal

3 markers cost $5.79 in which the proportion price is unknown

13 markers cost x

markers / cost = markers / cost

3 / $5.79 = 13 / x

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Answer:

See attached graph.

Step-by-step explanation:

Each situation can be expressed as an equation:

Jerzy: Total Cost (y1) is the $25 membership fee plus $0.80/golf ball (x):

y1 = $25 + $0.90x

Rick and Tom's:  Total Cost (y2) is $1.25 per golf ball, x.

y2 = $1.25x

See the attached graphs of these two equations.  Jerzy's cost less after 56 balls are purchased.

Answer:

This answer assumes that the first equation is meant to read:

2x + y +3z = 12, and not

1.22x+y+3:= 12

Spoiler Alert:  x = 1, y=4, and z=2

Step-by-step explanation:

1.    2x + y +3z = 12

2.     x - 2y + z = -5

3.    5x - y+ 2z = 5

==============

Use equations 2 and 3 to eliminate z:

2.  x - 2y + z= -5

3.  5x - y+ 2z = 5

-2(x - 2y + z) = -2(-5)   [Multiply equation 2 by -2]

             5x -   y+  2z =  5

Now subtract this new equation from equation 3:

-2x + 4y - 2z = 10  (Eq 3)

 5x -   y+  2z =  5   [

 3x +3y = 15   [Equation A]

=================

Use equations 1 and 2 to eliminate z:

   2x +  y +3z = 12   (Eq. 1)

      x - 2y +  z = -5   (Eq. 2)

   2x +  y +3z = 12

(-3)(x - 2y +  z = -5)  [Multiply Eq. 2 by (-3)]

    -3x + 6y -3z = 15

Now add the resulting two equations.

   2x +   y + 3z = 12     (Eq. 1)

  -3x + 6y -3z =  15       (Eq,2 times -3)

   -x   +7y         = 27    [Equation B]

=============

  Eliminate x with the 2 resulting equations (from above)

  3x +3y = 15  [Equation A]

   -x +7y = 27  [Equation B]

----

   3x +3y = 15

   3*(-x +7y = 27)  [Multiply the Equation B by 3]

  -3x +21y = 81     [Aha - this equation has a -3x term, exactly what we need to eliminate the x term in Equation A]

---

Now add the two resulting equations:

    3x +3y = 15

   -3x +21y = 81

            24y = 96  [The x term disappears.  But we'll "find x" later]

                 y = 4   [Divide both sides by 24]

Find y and z:

Since y = 4,

-x  +7y   = 27 (From above, Equation B]

-x = -7y + 27

 x = 7y - 27

x = 7(4)-27

 x = 1                  [Looking good]

=====

Find z:  (Use y = 4 and x = 1)

x - 2y + z = -5  [Equation 2]

(1) -2*(4) + z = -5

1 - 8 + z = -5

z = 2

Check:

Do the original equations work when x = 1, y = 4, and z = 2?

Results:  

1.    2x + y +3z = 12      

     (1) + (4) +3(2)    YES, this equals 12

2.     x - 2y + z = -5  

       (1)  -2*(4) + (2)   YES, this equals -5

3.    5x - y+ 2z = 5

       5(1) - (4) + 2(2)   YES, this equals 5

x = 1, y=4, and z=2

The number will be equal to 11.67.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be formed from the given data. Let the number be x so the expression will be:-

3x - 7 = 28

3x = 35

x = 35 / 3

x = 11.67

Therefore the number will be equal to 11.67.

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The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃  = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃ = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

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Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

Answer:

6 m

Step-by-step explanation:

[tex]sin22 = x/16\\x = 16sin22\\x = 6[/tex]

Answer:

34 and ⅔

Step-by-step explanation:

added in the picture

The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The mosaic to be formed is rectangular in shape.

Area of a rectangle = length x width

The length is longer than the width by 2,

So, length = w+2

Area of a rectangle = (w+2) x w

The correct equation is B: w(w + 2) = 48

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Answer: B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18

Answer:

C. -2

Step-by-step explanation:

Use A-P-E-X

How I solved it:

3/4(1/5÷3/5)(-8)

3/4(1/5×5/3)(-8)

3/4(1/3)(-8)

1/4(-8)=-2

Hope this helps!

If not, I am sorry.

Answer: 140

Step-by-step explanation:

A parallelogram means the sides are parallel, so PQM would have the same angle as MNP since they are opposite, just like NPQ and QMN.

Answer: 140°

Detailed Explanation with Figure:

In a Parallelogram, the Opposite Angles are Equal. Therefore, ∠PQM = ∠MNP, which is equal to 140°.

Here’s the Figure :-

Answer:

14

Step-by-step explanation:

to find f(value), we plug that x value into the equation

so, if..

f(x)= 3x² -x

f(-2)= 3 · (-2)² - (-2)

f (-2) = 3 · 4 + 2

f (-2) = 12 + 2

f (-2)  = 14

Answer:

14

Step-by-step explanation:

f(x) =3x^2-x

here,

f(-2)= 3(-2)^2 -(-2)

=3*4+2

=12+2

=14 Answer.

Answer:

n=-0.769

Step-by-step explanation:

Since there is no number after the equal sign in the equation given, we can put a zero in that place.

117n+90=0

Subtract 90 from both sides.

117n=-90

Divide 117 and -90

n=-0.769

Hope this helps!

If not, I am sorry.

The measure of angle D to the nearest tenth of a degree is 47 degrees

This theorem is used to determine the measure of sides and angles of a triangle.

According to the theorem

tan theta = opp/adj = 1.055

theta = arctan(1.055)

theta = 46.53 degrees

Hence the measure of angle D to the nearest tenth of a degree is 47 degrees

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Welming's spending is $1164.8 and his savings is $291.2

The given parameters are:

Weekly pocket = $28

Save = 20%

There are 52 weeks in a year.

So, the yearly pocket is:

Yearly pocket = $28 * 52

Evaluate

Yearly pocket = $1456

He saves 20%.

So, we have:

Savings = 20% * $1456

Evaluate

Savings = $291.2

His spending is then calculated as:

Spending = $1456 - $291.2

Evaluate

Spending = $1164.8

Hence, Welming's spending is $1164.8 and his savings is $291.2

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The value of the expression for the given values is 1294139

From the question, we are to rewrite the expression

(11j⁻³k²) (j³k⁴)

This can be rewritten as

11 × j⁻³ × k² × j³ × k⁴

11 × j⁻³ × j³ × k² × k⁴

11 × j⁻³⁺³ × k²⁺⁴

11 × j⁰× k⁶

= 11 × 1 × k⁶

= 11k⁶

Now we are to evaluate the expression for when j = -8 and k  = 7

The expression is

= 11 × k⁶

= 11 × 7⁶

= 1294139

Hence, the value of the expression for the given values is 1294139

Here is the complete question:

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to

complete the statement.

(11j⁻³k²) (j³k⁴)

When j = -8 and k = 7

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Answer:

539

Step-by-step explanation:

Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.

The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.

6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.

The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.

The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.

Rest of the question:

Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99

Number of Months 8           6          4          5            1

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Answer:

2/3 + 9.26 is rational

:)

If we evaluate at infinity, we have:

                        [tex]\bf{\displaystyle L = \lim_{x \to \infty}{\frac{\log(x^8 - 5)}{x^2}} = \frac{\infty}{\infty} }[/tex]

However, the infinity of the denominator has a higher order. Therefore, we can conclude that  [tex]\boldsymbol{L = 0.}[/tex]

However, proving that the limit is 0 without using L'Hopital or the "order" criterion is complicated. To do so, let us denote:

                           [tex]\boldsymbol{\displaystyle f(x) = \frac{\log(x^8 - 5)}{x^2} }[/tex]

To find the limit, we must look for two functions h(x) and g(x) such that h(x)≤ f(x)≤ g(x) and

                               [tex]\boldsymbol{\displaystyle \lim_{x \to \infty}{h(x)} = 0, \qquad \lim_{x \to \infty}{g(x)} = 0}[/tex]

If we find these functions, then we can conclude that [tex]\bf{\lim_{x \to \infty}{f(x)} = 0.}[/tex]

First, let's note that when x⁸ - 5 > 1, then log(x⁸ - 5) > 0 (and this is true when x is large). Likewise, we have that x² > 0 for x > 0. Therefore, we have:

                                   [tex]\boldsymbol{\displaystyle f(x) = \frac{\log(x^8 - 5)}{x^2} \geq 0}[/tex]

when x "is big enough". Thus, we have h(x) = 0 where it is clear that [tex]\bf{\lim_{x \to \infty}{h(x)} = 0.}[/tex]

To find the second function, let's first note that \log is an increasing function, so since x⁸ ≥ x⁸ - 5, then log(x⁸) ≥ log(x⁸ - 5). So we have to

                [tex]\boldsymbol{\displaystyle \frac{\log(x^8 - 5)}{x^2} \leq \frac{\log(x^8)}{x^2} }[/tex]

now, if we take y = e^y, then we can write

                  [tex]\boldsymbol{\displaystyle \frac{\log(x^8)}{x^2} = \frac{\log(e^{8y})}{e^{2y}} = \frac{8y}{e^{2y}}}[/tex]

A very important property about the exponential function is

                    [tex]\boldsymbol{\displaystyle e^x > \frac{x^n}{n!}}[/tex]

For any n [tex]\bf{n \in \mathbb{N}}[/tex] and x > 0. If we take n = 2, then we have

                    [tex]\boldsymbol{\displaystyle e^{2y} > \frac{(2y)^2}{2!} = \frac{4y^2}{2} = 2y^2}[/tex]

From this it follows that

                     [tex]\boldsymbol{\displaystyle \frac{1}{e^{2y}} < \frac{1}{2y^2} }[/tex]

Therefore, we have to

                    [tex]\boldsymbol{\displaystyle \frac{\log(x^8 - 5)}{x^2} \leq \frac{\log(x^8)}{x^2} < \frac{8y}{2y^2} = \frac{4}{y} = \frac{4}{\log x} }[/tex]

yes, [tex]\bf{g(x) = 4/\log x}[/tex] where [tex]\bf{\lim_{x \to \infty}{g(x)} = 0}[/tex]. Also, [tex]\bf{h(x) \leq f(x) < g(x)}[/tex]. Therefore, [tex]\bf{\lim_{x \to \infty}{f(x)} = 0}[/tex].

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]

Answer:

$11,611.69

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=6000\left(1+\frac{0.045}{1}\right)^{(1 \times 15)}[/tex]

[tex]\implies \sf A=6000(1.045)^{15}[/tex]

[tex]\implies \sf A=11611.69466...[/tex]

Therefore, the value of the investment after 15 years will be $11,611.69 to the nearest cent.

Answer:

3:1

Step-by-step explanation:

3 and 1 is not divisible by any number

Answer:

1/12

Step-by-step explanation:

dice rolling=1/6

coin flipping=1/2

Hence probability=1/6×1/2

Answer:

Dice roll = 1/6

Coin flip = 1/2