what is the factored form of the expression 2m^3 -26m^2+80m?
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Amount of $150,000 represents 42.86% of $350,000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.

Assume that it represents [x%] percent of the total value. Then, we can write -

x = (150000/350000) x 100

x = 42.86%

Therefore, $150,000 represents 42.86% of $350,000.

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Answer:

z = 30x + 110y

x = y + 2

z = royalties

x = no of commercial

y = no of movies

The probability of the person favoring rock music is 0.257, favoring country music is 0.285, and favoring something other than rock, country, or classical music is 0.342.

Given that:

Total people = 70

Chose rock = 18

Chose country = 20

Chose classical = 8

Chose something other than rock, country, or classical = 24

a) The empirical probability that the next person entering the store favors rock music is = Total people choosing rock music/ Total people

                                = 18/70 = 9/35 = 0.257

b) The empirical probability that the next person entering the store favors country music is = Total people choosing country music/ Total people = 20/70 = 2/7 = 0.285

c) The empirical probability that the next person entering the store favors something other than rock, country, or classical music is = Total people choosing something other than rock, country, or classical music/ Total people = 24/70 = 12/35 = 0.342.

Hence, the empirical probability that the next person favors rock music is 0.257, favors country music is 0.285, and favors something other than rock, country, or classical music is 0.342.

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Answer:

28.26

Step-by-step explanation:

Answer:

160.1 divided by 22.3 = 7.179 miles per litre.

This is 7.179 x 4.544 = 32.62 miles per gallon.

hope that will help

keeping in mind that there are about 1.609 Km in 1 mile and that there are about 3.78L in 1 gallon(US)

[tex]\cfrac{24~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{mile}{1.609~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{3.78~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{gallon(US)} \\\\\\ \cfrac{24(3.78)}{1.609}\cfrac{mile}{gallon(US)} ~~ \approx ~~ 56.38\frac{mile}{gallon}[/tex]

By 6 months both of them have same amount

Each of them have $700 at that 6 months.

In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality.

Given that, Erlena has $250 and she saves $75/month then,

The equation is,

250+75x

And also given that, Jabril has $400 and he saves $50/month then,

The equation is,

400+50x

250+75x=400+50x

150=25x

x=6

By 6 months they have same amount

250+75(6)=700

400+5(6)=700

They both have $700 at that 6 months

Therefore, By 6 months both of them have same amount

Each of them have $700 at that 6 months.

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The zeroes of the polynomial are x=3, x=-5 and x=3/5

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

Given:

f(x)=5x³+7x²−81x+45.

let us take x= 3

5(27)+7(9)-81(3)+45

=135+63-243+45

= 243-243

=0

So, 3 is a root of polynomial and x-3 is factor of Polynomial.

Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15

Now, factorise 5x²+22x-15.

= 5x²+25x-3x-15

= 5x( x+ 5) - 3(x+ 5)

= (5x - 3)( x+ 5)

Then, x= 3/5 and 5

Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5

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Answer:

AB = 75cm

Step-by-step explanation:

Let BC equal x. Then AB is 5x because it is 5 times as long.

The whole length is 90, that was given.

Add the pieces, 5x and x, and set them equal to 90.

Solve the equation. See image. Last, calculate AB.

see image.

Answer:

Y= -1.67x + 0.67

Step-by-step explanation:

Hope this was ok

Answer:

[tex]250\pi[/tex] cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.

The maximum cost that a patient would pay if he is in the lowest 4% of all paying patients is C) $14,725.

Given that

mean = $19800

standard deviation = $2900

Using standard normal table ,

P(Z < z) = 4%

P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Using z-score formula,

x = z * standard deviation + mean

x = -1.75 * 2900 + 19800 = 14725

The maximum cost is $14725

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Answer: 25.12 in

Step-by-step explanation:

The circumference of a circle with a diameter of [tex]d[/tex] is [tex]\pi d[/tex].

So, the circumference is [tex]8\pi \approx 25.12[/tex] in.

According to the concept of translation, the function of g(x) = x² + 2.

Translation:

The concept of translation is defined by using the function f(x) then f(x + a) is a horizontal translation of f(x)

If the value of a > 0 then a shift to the left of a units

If the value of  a < 0 then a shift to the right of a units

Given,

Here we have the function f(x) = x².

Now, we have to find  the equation of the graph of g(x) and how it change in corresponds to f(x).

While we looking the graph, the function f(x) has curved on the origin (0, 0).

Where the function g(x)  has curved the point (2,0).

Which tells the the graph is move left side by 2 units.

So, according to the rule of translation, the value of a is 2.

Then the function g(x) is written as,

=> g(x) = x² + 2.

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Answer:

the 2 x 0.5 triangle fabric piece cost $2.25

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

the answer is 4

Answer: 247.97

Step-by-step explanation:

The nearest cent is two decimal places.

The function on the graph can't be a sin, then the correct option is:

y = A*cos(k*x) + C

We know that the graph is either of the equation:

y = B*sin(k*x) - C

Or

y = A*cos(k*x) + C

Now, notice that there is a maximum at x = 0

And we also know that:

sin(0) = 0

cos(0) = 1

Then the option with the sin can be discarded, as it does not have a maximum at x = 0.

The correct option is:

y = A*cos(k*x) + C

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The conclusions for the given points  (1.-2) and (4.-2) are

(A) The slope is 0.

(B) The y-intercept is -2.

(D) The line is horizontal.

(E) The equation of the line is y = -2

The formula used to calculate the equation of the line passing through the points (x₁, y₁) with slope m is given by

Where the formula for Slope is given by

Here we have

Given points  (1, -2) and (4, -2)  

Let us check each point one by one

(A) The slope is 0.

To find the slope of the line with given points using the formula

=> m = (y₂ - y₁) /(x₂ - x₁)

=> m = (-2 - (2)) /(4 - (-2)) = 0/6 = 0

∴ The slope of the line = 0

(B) The y-intercept is -2

To find the y-intercept calculate the equation line using the formula

=> (y -y₁) = m(x - x₁)  

=> [y - (-2) ] = 0 (x - 1)

=> y + 2 = 0

=> y = -2

On comparing with the slope-intercept form y = mx+c, we get

y-intercept = -2

∴ The y-intercept is -2.

(D) Here the line is in the form of y = a then the given line will be a Horizontal line.

(E) The equation of the line is y = -2

Therefore,

The conclusions for the given points  (1.-2) and (4.-2) is

(A) The slope is 0.

(B) The y-intercept is -2.

(D) The line is horizontal.

(E) The equation of the line is y = -2

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The complete question:

What can be concluded about a line that passes through the points (1, -2) and (4, -2) Check all that apply.

The slope is 0.

The y-intercept is -2.

The line is vertical.

The line is horizontal.

The line has no y-intercept.

The equation of the line is y = -2

Answer:

last answer.

Step-by-step explanation:

First of all, how did you get the second answer?

Line a has to be perpendicular to Line b.

Perpendicular transversal theorem:

In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.

In this case, a||c, and line b is perpendicular to line c.

We can therefore use perpendicular transversal theorem to state that line a is perpendicular to line b.

Answer:

375=5^3 * 3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

3/3 = 1

We are looking for the functions which are symmetric with respect to the y-axis.

This should be an even function with the vertex on the y-axis.

All functions of odd degree or restricted domain or range are excluded:

Possible symmetric functions:

See the attached. Those with red cross are excluded, with green mark are correct choices.

Answer:

[tex]y=-7x^2[/tex]

[tex]y=8x^2-3[/tex]

Step-by-step explanation:

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

Therefore, any function that includes the term x² will be symmetric with respect to the x-axis since (-x)² = x².

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=-7x^2\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=-7(-x)^2\\&\textsf{Simplify}: \quad &y&=-7x^2\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=8x^2-3\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=8(-x)^2-3\\&\textsf{Simplify}: \quad &y&=8x^2-3\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

The relationship for the expressed value will be an equation, as there is equal sign in between the expression.

What is an equation?

Two or more expressions with an equal sign is called an equation.

As in given expressed value two expressions are equated with equal sign,

5i+3=7

Here, Left hand side is equal to Right hand side.

Also have Equal sign.

Whereas in expression, there will be no equal sign,

only - variables, operators and numeric values.

For Function, expression is equated to F(variable).

Hence, equation is the relationship for 5i+3=7.

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Answer:

2.0 x 10^3

Step-by-step explanation:

 7.2x10^8/3.6x10^5= 2000= 2.0 x 10^3

Answer:

False. -1 is more than -2, so the first value shows it is false.

Answer:

28

Step-by-step explanation:

[tex] {2}^{3} = 8[/tex]

The units digit (8) is the tens digit (2) raised to the third power.

Answer:-8

Step-by-step explanation:

You are basically adding -4+(-4)

Answer:

Step-by-step explanation:

2(-4)

2 x -4

answer: -8

The vertex form of the given equation is (x - 9/2)² - 1/4

Vertex form

The general vertex form is written as

y = a (x - h)² + k

Where, a, h, and k are real numbers, where a ≠ 0.

And x and y are variables where (x, y) represents a points.

Given,

Here we have the equation x² = 9x - 20

Now, we have to convert this equation into vertex form.

In order to convert this into vertex form, first we have to rewrite the given equation as follows:

=> x² - 9x + 20 = 0

Here the coefficient of the x is 9, so now we divide this by 2 : 

=> 9 ÷ 2 = 9/2

And then we have to square it (9/2) ² then we get the value 81/4.

So we add and subtract 81/4, then we get,

=>  x² - 9x + 81/4 - 81/4 + 20 = 0

Now, we have to rewrite it as,

=> [x² - 9x + 81/4] + [-81/4 - 20]

When we simplify it then we get,

=> (x - 9/2)² - 1/4

Therefore, the vertex form of the equation is  (x - 9/2)² - 1/4.

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The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

First, let us understand the reflection of a point:

The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.

We are given:

The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).

We need to find the reflection of the points across the line y = x.

So,

P(-1, 4) = P'(1, -4)

Q(8, -3) = Q'(-8, 3)

R(2, -6) = R'(-2, 6)

Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

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Your net income and Net profit margin percentage, given the cost of the pack of lenses, and your operating expenses are:

To find the net income, first find the revenue:

= Number of packs x selling price

= 8, 000 x 59.95

= $479,600

The cost of goods sold is:

= Cost of lenses x number of lenses

= 29.95 x 8,000

= $239, 600

The net income is:
= Revenue - cost of goods sold - operating expenses

= 479, 600 - 239,600 - 144,080

= $95, 920

The net profit margin percentage is:

= Net income / total revenue

= 95, 920 / 497, 600

= 19.3%

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Answer: 10

Step-by-step explanation:

    To find the slope, we will take two points and find the change in y over change in x.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{35-15}{3-1}=\frac{20}{2} =10[/tex]

    The slope of the table is 10.