Hi, can you help me to solve thisexercise, please!!For cach polynomial, LIST all POSSIBLE RATIONAL. ROOTS•Find all factors of the leading coefficient and constant value of polynonnal.•ANY RATIONAL ROOTS =‡ (Constant Factor over Leading Coefficient Factor)3x^2+2x+2

Answer:

4644

Step-by-step explanation:

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer:

18.85

Step-by-step explanation:

C=2πr

2(pi)3=18.85

Eight thousand two hundred and eighty two

If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

There was 20 questions on the test.

She got 3 wrong.

Step-by-step explanation:

\(\frac{85}{100} = \frac{17}{20}\)

20 - 17 = 3

There was 20 questions on the test.

She got 3 wrong.

We are given two points along the line on a coordinate plane.

The points are;

The slope of a line where two points are given is derived by the formula;

Where the variables are;

The slope will now be;

Note that where two negative numbers divide each other the result will be a positive number.

ANSWER:

The Area of the shaded region is 20.86 in²

The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.

We know,
Area of Rectangle = l × w,      where l = length and w = width
Area of Circle = \(\pi r^{2}\),                where r = radius.

find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²

Here given the circle radius is 1 inch, and we use π as 3.14

Area of Circle = \(\pi r^{2}\)
Area of Circle = 3.14 × 1² = 3.14 in²  

The area of the shaded region as per figure below is:

Area of the shaded region = Area of Rectangle - Area of Circle

Area of the shaded region = 24 - 3.14 = 20.86 in²

Therefore, the answer is D.  20.86 square inches.

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Answer:

Grams of Peanuts = 52.5

Grams of Raisins = 210

Step-by-step explanation:

14/4 = 3.5

21/6 = 3.5

30/5 = 3.5

3.5 · 15 = 52.5

3.5 · 60 = 210

Using tables we get that:

Answer: 0.9582.

Answer:

f(x)=4e^0.05x

Step-by-step explanation:

knowed that the 3rd side of a triangle need being greater than the difference of the given two sides length and less that the sum of the given two sides length

so with these knowledge we get

x > (9-6) so x > 3

and

x < (9+6) so x < 15

from these result that the 3rd side length can being choice B. 4 ,C. 7,F. 10,

E. 12,

hope this will help you .
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Answer:

Step-by-step explanation:

\(\frac{5}{9}+\left(\frac{1}{9}+\frac{4}{5}\right)=x\\x=\frac{5}{9}+\left(\frac{1}{9}+\frac{4}{5}\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\x=\frac{5}{9}+\frac{1}{9}+\frac{4}{5}\\\mathrm{Compute\:a\:number\:comprised\:of\:factors\\\:that\:appear\:in\:at\:least\:one\:of\:the\:following:}\\9,\:9,\:5\\=3\times \:3\times\:5\\\mathrm{Multiply\:the\:numbers:}\:3\times \:3\times \:5=45\\\frac{5}{9}=\frac{5\times \:5}{9\times \:5}=\frac{25}{45}\\\)

\(\frac{1}{9}=\frac{1\times \:5}{9\times \:5}=\frac{5}{45}\\\\\frac{4}{5}=\frac{4\times \:9}{5\times \:9}=\frac{36}{45}\\\\x=\frac{25}{45}+\frac{5}{45}+\frac{36}{45}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\x=\frac{25+5+36}{45}\\\\x=\frac{66}{45}\\\\x=\frac{22}{15}\)

Answer:

the lines are perpendicular to each other

Step-by-step explanation:

The standard form of equation of a line is y = mx+c

m is the slope of the line

c is the intercept

Given the equations

10x – 3y = 3

3x + 10y = 30

Get the individual slopes

For 10x – 3y = 3

Rewrite in standard form

-3y = -10x + 3

y = 10/3 x - 3/3

y = 10/3 x  - 1

Slope of the line is 10/3

For the equation 3x + 10y = 30

10y = -3x+30

y = -3/10 x + 3

Slope of the line is -3/10

Take the product of the slopes

10/3 * -3/10 = -1

Since the product of their slopes is -1, hence the lines are perpendicular to each other

Answer: -32

Step-by-step explanation:

The solution (X = 8, Y = 16) represents a minimum because the second partial derivatives are both positive.

The quadratic equation's roots 32

+6x+8=0 utilises the quadratic formula to determine. x = is the quadratic formula.

where the quadratic equation's coefficients are a, b, and c. Here, an equals 1, b equals 6, and c equals 8. We obtain the quadratic formula's result by entering these values: x =

x = (-6 ± √(36 - 32)) 2 x = (-6 to 4) 2 x = (-6 to 2) 2 x = (-3 to 1) 1 x = (-2 to 4)

Generally, any quadratic equation of the form may be solved using the quadratic formula to get the roots.

Whereas a, b, and c are real numbers, + bx + c=0. One effective method for tackling a wide range of physics and maths issues is the quadratic formula.

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F(n) = -11 + 22(n-1)

Hence F(1) = -11

let An = F(n) -F(n-1)

Hence F(n)= f(n-1) +22

Cost of direct materials per equivalent unit = $0.45.

Conversion cost per equivalent unit = $0.12.

The FIFO method is the First In First Out method. It is an accounting method used for cost flow assumption purposes in the cost of goods sold calculation.

In the Bottling Department,

The cost of direct materials transferred = $27,225.

The conversion cost = $7,596.

The total equivalent units for,

Direct materials = 60,500 liters.

conversion = 63,300 liters.

By using FIFO method,

The cost  of Direct materials per equivalent unit = \(\frac{27,225}{60,500}\)

                                                                                =$0.45

Conversion cost per equivalent unit = \(\frac{7596}{63,300}\)

                                                            = $0.12

Hence, the cost of direct materials and conversion cost per equivalent unit is $0.45 and $0.12 respectively.

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Answer:

64Step-by-step explanation:32+14=46

Step-by-step explanation:

lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...

1 answer

Age of President G.H.W. Bush  is 37.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Age of President Bush = 54,

So, Age of President Clinton

=(54/2) + 14

=27+14

=41

Now, Age of President G.H.W. Bush

=46/2+14

=23+14

=37

Hence, the age of President G.H.W. Bush  is 37.

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Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Answer:

The value of Chi-square test statistic is χ² = 5.75.

Step-by-step explanation:

The Chi-square Goodness of fit test will be used to determine whether the die is fair or not.

The hypothesis can be defined as follows:

H₀: The die is fair.

Hₐ: The die is not fair.

The Chi-square test statistic is given by:

\(\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}\)

Consider the table attached below.

The value of Chi-square test statistic is χ² = 5.75.

Answer:

The Cpk of this line is 0.6667.

Step-by-step explanation:

Cpk:

In a process with mean \(\mu\), standard deviation \(\sigma\), upper limit U and lower limit M, the CPK is of:

\(C_{pk} = \text{min}(\frac{U-\mu}{3\sigma}, \frac{\mu-L}{3\sigma})\)

Average of 61 psi with a standard deviation of 2 psi.

This means that \(\mu = 61, \sigma = 2\)

The specification calls for the acceptance range to be from 55 psi to 65 psi.

This means that \(L = 55, U = 65\).

Cpk

\(\frac{U-\mu}{3\sigma} = \frac{65-61}{3(2)} = 0.6667\)

\(\frac{\mu-L}{3\sigma} = \frac{61-55}{3(2)} = 1\)

The minimum of these values is 0.6667, so the Cpk of this line is 0.6667.

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

5x + 18

Step-by-step explanation:

simplify : 8x - 3x + 16 + 2 = ?

5x + 18 = ?

wait do you want to solve it or just simplify? If it is just simplify, can you mark me brainliest? =)

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13