which of the following expressions below represent the phrase 8 times a number w less three​

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

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Step-by-step explanation: f ( x ) = x4 - x3 - 4x2 + 4x

Answer:

a

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n\)  a₁ + (n - 1)d

here a₁ = \(\frac{3}{5}\) and d = - \(\frac{1}{3}\) , then

a₂₁ = \(\frac{3}{5}\) + (20 × - \(\frac{1}{3}\) )

    = \(\frac{3}{5}\) - \(\frac{20}{3}\)

    = 0.6 - 6.67

   = - 6.07 ( to 2 decimal places )

Answer:

b

Step-by-step explanation:

Answer:

$1146.96 per square foot

Step-by-step explanation:

find area needed to be covered (l x w)

36 x 18 = 648

find cost

648 x 1.77 = $1146.96 per square foot

Answer:

Total amount spend per month = $2,043

Step-by-step explanation:

Given:

Average monthly living expenses = $617

Average monthly fixed expenses = $1,108

Monthly share of annual expenses = $318

Find:

Total amount spend per month

Computation:

Total amount spend per month = Average monthly living expenses + Average monthly fixed expenses + Monthly share of annual expenses

Total amount spend per month = $617 + $1,108 + $338

Total amount spend per month = $2,043

The quadratic function x² - 10x + 20 in vertex form is f(x) = (x - 5)² -5. The vertex of this parabola is (5, 15).

To convert the quadratic function in standard form, f(x) = ax² + bx + c, to vertex form, f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola, follow these steps:

Complete the square by adding and subtracting (b/2a)²inside the parentheses:

f(x) = x² - 10x + 20

f(x) = (x²- 10x + 25) - 5

Factor the expression inside the parentheses as a perfect square:

f(x) = (x - 5)² -5

Write the function in vertex form by pulling out the value of a from the perfect square:

f(x) = 1(x - 5)² -5

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Answer:

Answer C

Step-by-step explanation:

Answer:

answer c

Step-by-step explanation:

trust me

Answer:

Step - 1: Finding probability of individual events

Given an urn contains 10 black and 5 white balls.

So, total number of balls = 10+5 = 15

Let A be the event of first ball being black and B denote the event of second ball being black

P(A) =

Total number of balls

Number of black balls

​

⇒ P(A) =

15

10

​

=

3

2

​

P(B) =

Total number of remaining balls

Number of remaining black balls

​

(as ball is not replaced)

⇒ P(B) =

14

9

​

Step - 2: Finding total probability

Probability that both the balls drawn are black, P = P(A) × P(B)

⇒ P =

3

2

​

×

14

9

​

⇒ P =

7

3

​

Hence, the probability that both the balls drawn are black is

7

3

​

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

1) The factors of  \(x^2-3x+2=0\) are \(\mathbf{(x-1)(x-2)=0}\)

Option C is correct.

3) The factors of  \(x^2+2x-8=0\) are \(\mathbf{(x-2)(x+4)=0}\)

Option B is correct.

Step-by-step explanation:

1) Factor : \(x^2-3x+2=0\)

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

\(x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\)

So, factors of  \(x^2-3x+2=0\) are \(\mathbf{(x-1)(x-2)=0}\)

Option C is correct.

3) Factor: \(x^2+2x-8=0\)

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

\(x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0\)

So, factors of  \(x^2+2x-8=0\) are \(\mathbf{(x-2)(x+4)=0}\)

Option B is correct.

The rate of change of the area of the triangle when t=1 is also equal to 3.

Given the function of height of a triangle expressed as:

The rate of change is expressed as

The rate of change of the area of the triangle when t=1 is also equal to 3.

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Answer:

yes

Step-by-step explanation:

12% of total animals are ring-tailed lemurs.

A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.

Given that, 30% of the animals in a wildlife park are lemurs, 40% are ring-tailed lemurs.

Let total animals be 100.

30% of 100 = 30

40% of 30 = 12

12/100*100 = 12%

Hence, 12% of total animals are ring-tailed lemurs.

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A scale factor of 7 is it an enlargement neither.

Scale factor is a ratio of two corresponding lengths, areas, or volumes of similar shapes. When two shapes are similar, one can be enlarged or reduced to create the other. The scale factor is the number by which a figure is multiplied or divided to form a similar figure. It is used in many areas of mathematics, including geometry, trigonometry, and algebra. It is also used in engineering and architecture to create drawings of scaled-down or scaled-up objects.

A scale factor of 7 does not necessarily indicate an enlargement or reduction; it simply states that the size of an object has been multiplied by a factor of 7. It could either increase or decrease the size of the object, depending on the original size of the object and the direction of the scale factor.

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Answer:

excuse me can you speak english

The balance over the acceptable debt ratio is $1089.90.

A debt ratio calculates a company's leverage by comparing its total debt to its total assets.

Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.

Divide total debt by total assets to find a company's debt ratio.

A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.

According to some sources, the debt ratio is calculated by dividing all obligations by all assets.

Given that, credit card balance = $3,589.90

credit limit = $5,000

Debt Ratio percentage = 50% = 0.50

The balance over is given as

balance = Current Balance - (Credit Limit × 0.50 )

balance = 3589.90 - (5000 × 0.5)

balance = 3589.9 - 2500

balance = 1089.9

Hence, the balance over the acceptable debt ratio is $1089.90.

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Equation's:

Make b the subject:

3b - 45c = 120

3b = 120 + 45c

 b = (120+ 45c)/3

    = 40 + 15c          ____ equation 1

\(\rule{100}{1}\)

b - 3c = 10

b = 10 + 3c           ____ equation 2

Solve them Simultaneously:

        b = b

10 + 3c = 40 + 15c

3c - 15c = 40 - 10

-12c = 30

c = -2.5

For b: 10 + 3c = 10 + 3(-2.5) = 2.5

Answer:

c)  b = 2.5, c = -2.5

Step-by-step explanation:

Given system of equations:

\(\begin{cases}3b-45c=120\\b-3c=10\end{cases}\)

Rearrange the second equation to make b the subject:

\(\implies b=10+3c\)

Substitute this into the first equation and solve for c:

\(\implies 3(10+3c)-45c=120\)

\(\implies 30+9c-45c=120\)

\(\implies 30-36c=120\)

\(\implies -36c=90\)

\(\implies c=-2.5\)

Substitute the found value of c into the rearranged second equation and solve for b:

\(\implies b=10+3(-2.5)\)

\(\implies b=10-7.5\)

\(\implies b=2.5\)

Therefore, the solution to the system of equations is:

\(b = 2.5, \:\:\:c = -2.5\)

Option A. A special type of relation that pairs each domain value with exactly one range value. This means that for each input value, there is only one corresponding output value.

A function is a special type of relation that takes an input value (domain) and maps it to exactly one output value (range). This means that for each input value, there is only one corresponding output value.

This type of relation is often represented graphically, with the domain values on the x-axis and the range values on the y-axis. Functions are also commonly represented using equations, which allows for more precise calculations. In many cases, the output value of a function is determined by a mathematical operation that is performed on the input value. In this way, functions can be used to model real-world phenomena, such as population growth or the trajectory of a rocket.

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Answer:

The range of the following set of points is {4, -2, -8}

Step-by-step explanation:

∵ The set of points is {(3, 4), (7, -2), (11, -8)}

∵ The range is the y-coordinates of these points

∵ The y-coordinates of the points are 4, -2, -8

∴ The range is {4, -2, -8}

∴ The range of the following set of points is {4, -2, -8}

5×15= 75 the 4 days is irrelevant

Answer:

The answer would be: 75

Step-by-step explanation:

15×5=75

we ignore the 4 because it's irrelevant.

I hope this helps :)

The value of (f. g)(x) is -4x²+13x-10. Therefore, the option B is the correct answer.

The given linear functions are f(x) = x − 2 and g(x) = −4x + 5.

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

(f. g)(x) can be determined as follows:

Now, (f. g)(x)=(x − 2)(−4x + 5)

=-4x²+8x+5x-10

=-4x²+13x-10

So, (f. g)(x)=-4x²+13x-10

The value of (f. g)(x) is -4x²+13x-10. Therefore, the option B is the correct answer.

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Answer:

x- intercept (5, 0)

y- intercept (0, 2)

Step-by-step explanation:

x- intercept occurs at y= 0.

To find the x- intercept of the linear equation, substitute y= 0 into the equation.

4x +10y= 20

When y= 0,

4x +10(0)= 20

4x= 20

x= 20 ÷4 (÷4 on both sides)

x= 5

Thus, the x-intercept is (5, 0).

y-intercept occurs at x= 0.

4x +10y= 20

When x= 0,

4(0) +10y= 20

10y= 20

y= 20 ÷10 (÷10 on both sides)

y= 2

Thus, the y-intercept is (0, 2).

Answer: Red

Step-by-step explanation:

Personally, you should get a better phone than an iPhone 7

Answer: iPhone

Step-by-step explanation:

Ok, so to answer this question you need to do a simple formula: eenie-meenie-miney-moe.  Or just choose which color you like better... although I don't think iPhone makes iPhone 7's anymore (as of 2022).

Sorry if this doesn't help very much.

I would choose red if you seriously cannot choose.

Using the mean concept, it is found that:

The mean of a data-set is given by the sum of all observations divided by the number of observations.

For Florida Company(FC):

Thus, the mean is:

\(M = \frac{-5 + 15 + 20}{3} = \frac{30}{3} = 10\)

The mean return for Florida Company is 10%.

For Minnesota Company(MC):

Thus, the mean is:

\(M = \frac{8 + 8 + 20}{3} = \frac{36}{3} = 12\)

The mean return for Minnesota Company is 12%.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Answer:Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Step-by-step explanation:

Answer:

5.4 hope this help