Where does the line y=2x-12 cross the x-axis?

Answer:

1.214 or \(1\frac{3}{14}\) or \(\frac{17}{14}\)

Step-by-step explanation:

To solve this equation, first you need to the variable term isolated. You do this by adding 10 to each side. Your equation will now look like

17c = 14

Next, you will divide both sides by the 17.

Your equation now is solved, and above, I put ther three different forms for your answer: decimal, mixed number, and improper fraction.

~theLocoCoco

The remainder in a Taylor polynomial is the difference between the actual value of a function and its approximation using the polynomial. It measures the error or accuracy of the approximation.

A Taylor polynomial is an approximation of a function using a polynomial expansion centered around a specific point. The polynomial is constructed by taking derivatives of the function at that point. However, even with a high-order polynomial, the approximation may not be exact. The remainder term quantifies the difference between the actual function value and the polynomial approximation.

The remainder can be expressed using the Lagrange form of the remainder, which is based on the Taylor's remainder theorem. The Lagrange form states that the remainder is equal to the next term in the Taylor series expansion, multiplied by a factor involving the derivative of the function evaluated at some point within the interval between the center and the point of approximation. This factor ensures that the remainder captures the overall behavior of the function between the center and the point of approximation.

By analyzing the remainder, one can determine the accuracy of the Taylor polynomial approximation. As the degree of the polynomial increases, the remainder term generally decreases, indicating a more accurate approximation. However, it's important to note that the remainder only provides an upper bound on the error and doesn't guarantee the exact error value. Nevertheless, the remainder term is a useful tool in evaluating and improving the precision of polynomial approximations in various mathematical and scientific applications.

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The given inequality shows an ellipse with a center at (1,-2)

The major axis will be   \(a=\sqrt{\dfrac{26}{9} }\)

The minor axis will be   \(b=\sqrt{\dfrac{26}{4} }\)

The equation of an ellipse is written in the form

\(\dfrac{(x-h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1\)

The center is (h,k) and the larger of a and b is the major radius and the smaller is the minor radius.

Now the given inequality is

\(9x^2+18x+4y^2+16y-11 > 0\)

\(9x^2+18x+4y^2+16y > 11\)

\(9(x^2-2x)+4(y^2+4y) > 11\)

\(9(x^2-2x+1)+4(y^2+4y+4) > 11+9+16\)

\(9(x^2-2x+1)+4(y^2+4y+4) > 26\)

On further solving

\(9(x-1)^2+4(y+2)^2 > 26\)

\(\dfrac{(x-1)^2}{\dfrac{26}{9} } + \dfrac{(y+2)^2}{\dfrac{26}{4} } > 1\)

Thus by comparing the equation with the standard form

\(\dfrac{(x-h)^2}{a^2} +\dfrac{(y-k)^2}{b^2} =1\)

Thus we can see that the center (h,k) is (1,-2)

The major axis will be \(a=\sqrt{\dfrac{26}{9} }\)

The minor axis will be\(a=\sqrt{\dfrac{26}{4} }\)

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Answer:

ellipse with a dashed line boundary

(1,-2)

(-2,0)

Step-by-step explanation:

assignment

Answer:

13r-13n

Step-by-step explanation:

just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms

Answer:

13r-13n

Step-by-step explanation:

6r+9r = 15r

15r-2r = 13r

13r-13n

Answer:

\(\huge\boxed{x=-26}\)

Step-by-step explanation:

\(-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26\)

Answer:

-26

Step-by-step explanation:

The annual effective rate is 15.87%.

The annual effective rate can be calculated using the following formula:

(1 + i)^n - 1

where

i is the quarterly interest rate and

n is the number of quarters in a year. In this case, we have

i=0.15 and

n=4. Therefore, the annual effective rate is

(1 + 0.15)^4 - 1 = 15.87%

The quarterly interest rate is 15%. This means that if you invest $100, you will have $115 at the end of the quarter. If you compound the interest quarterly for 60 quarters, you will have $D_a = $296.78 at the end of 60 quarters. The annual effective rate is the rate that would give you $296.78 if you invested $100 at a simple annual interest rate.

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The second solution to this differential equation problem is 2 * u' - (5/4) * (u / \(x^{(3/2)}\)) + u'' = 0.

To find a second solution to the given differential equation using the reduction of order method, assume the second solution has the form:

y = u(x) * y₁(x),

where y₁(x) is the known solution, in this case, y₁(x) = \(x^{(1/2)}.\)

Differentiating y with respect to x:

y' = u' * y₁ + u * y₁',

where u' represents the derivative of u(x) with respect to x, and y₁' represents the derivative of y₁(x) with respect to x.

Similarly, differentiating y' with respect to x:

y'' = u'' * y₁ + 2 * u' * y₁' + u * y₁''.

Now substitute these expressions into the original differential equation:

\(x^2 * y'' + x * y' - y = 0.\)

\((x^2 * (u'' * y₁ + 2 * u' * y₁' + u * y₁'') + x * (u' * y₁ + u * y₁') - u * y₁) = 0.\)

Simplifying and collecting like terms:

\(x^2\) * u'' * y₁ + 2 * \(x^2\) * u' * y₁' + x * u' * y₁ + \(x^2\) * u * y₁'' - u * y₁ = 0.

Grouping terms containing u' and y₁' together:

2 * \(x^2\)* u' * y₁' + x * u' * y₁ - u * y₁ + \(x^2\) * u * y₁'' + \(x^2\) * u'' * y₁ = 0.

Since y₁ = \(x^{(1/2)}\), y₁' = (1/2) * \(x^{(-1/2)}\), and y₁'' = (-1/4) *\(x^{(-3/2)}\), substitute these values into the equation:

2 * \(x^2\) * u' * (1/2) *\(x^{(-1/2)}\) + x * u' * \(x^{(1/2)}\) - u * \(x^{(1/2)}\) + \(x^2\)* u * (-1/4) * \(x^{(-3/2) }\)+ \(x^2\) * u'' * \(x^{(1/2)}\) = 0.

Simplifying:

x * u' + x * u' - u * \(x^{(1/2)}\) - (1/4) * u + x * u'' *\(x^{(1/2)}\) = 0.

2 * x * u' - u * \(x^{(1/2)}\) - (1/4) * u +\(x^{(3/2)}\) * u'' = 0.

Now, divide the equation by\(x^{(3/2)}\) to obtain a second-order linear homogeneous equation:

2 * u' - (u / \(x^{(3/2)}\)) - (1/4) * (u /\(x^{(3/2)}\)) + u'' = 0.

Simplifying further:

2 * u' - (5/4) * (u /\(x^{(3/2)}\)) + u'' = 0.

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Answer:

No weight is left.

Step-by-step explanation:

Sorry if this is not the answer your looking for.

if you can provide additional context as to what the weight is being removed from then please do

Hobby is an example of a vaniable that follows nominal scale of measurement. Option C is correct.

Nominal scale is the simplest level of measurement where variables are categorized into distinct and non-overlapping categories or groups. In the survey, students are asked to list their favorite hobby, which means they are providing responses that can be grouped into different categories such as sports, music, reading, etc. However, these categories do not have any inherent order or numerical value associated with them.

To understand this better, let's consider an example. Suppose the survey has the following responses from students:

1. Sports
2. Music
3. Reading
4. Painting

In this case, the hobby variable is measured on a nominal scale because the responses are discrete categories without any numerical value or order. It is important to note that the numbers assigned to the responses do not indicate any ranking or order. They are simply identifiers for the different categories.

To summarize, in the survey, the hobby variable is an example of a nominal scale of measurement because it consists of distinct categories without any numerical value or inherent order.

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The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned at the normal earning rate can be calculated thus :

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

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The girl had (15x) / 2 pennies, where "x" represents the number of dimes in a single stack.

We have,

The girl has 15 stacks of dimes.

There were half as many pennies.

To find the number of pennies, we can start by determining the number of dimes.

Since there are 15 stacks of dimes, we know that there are 15 times the number of dimes in a single stack.

Next,

We are told that there were half as many pennies as there were dimes.

So, to find the number of pennies, we need to divide the number of dimes by 2.

Let's say the number of dimes in a single stack is "x."

Then, the total number of dimes is 15x.

And since there are half as many pennies, the number of pennies would be (15x) / 2.

Thus,

The girl had (15x) / 2 pennies, where "x" represents the number of dimes in a single stack.

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Step-by-step explanation:

\(\textsf{We are asked for the relationship of a central angle and an inscribed angle when}\)\(\textsf{these 2 angles share an arc.}\)

\(\large\underline{\textsf{What is a Central Angle?}}\)

\(\textsf{A \underline{central angle} is any angle connected by \underline{2 radiuses}.}\)

\(\large\underline{\textsf{What is an Inscribed Angle?}}\)

\(\textsf{An \underline{inscribed angle} is any angle \underline{insdie} of a circle. It's commonly connected to 3}\)

\(\textsf{points of the circumference, total.}\)

\(\textsf{Because they share an arc, the Inscribed Angle is less than the central angle.}\)

\(\large\underline{\textsf{How Much Less?}}\)

\(\textsf{It has always been proven that the Inscribed Angle is \underline{1/2} of the Central Angle if}\)

\(\textsf{they share an arc.}\)

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.

Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.

We have rate of interest as 9%

So, SI = PNR/100

SI = P x 1 x 9/100

SI = P x 9%.

Therefore, current balance should be multiplied by 9% .

Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.

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The number of possible valid code vectors in a given block code (n, k) is 2^k.

In a block code, (n, k) represents the number of bits in a code vector and the number of information bits, respectively. The remaining (n-k) bits are used for error detection or correction.

Each information bit can take on two possible values, 0 or 1. Therefore, for k information bits, we have 2^k possible combinations or code vectors. This is because each bit can be independently set to either 0 or 1, resulting in a total of 2 possibilities for each bit.

Hence, the number of possible valid code vectors in the given block code (n, k) is 2^k. This represents the total number of distinct code vectors that can be constructed using the available information bits.

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Answer:

496

Step-by-step explanation:

992/2 =496

The value of y when x = 4 is 3.

In this given condition statement, if x is greater than 5, the value of y is 1. If x is less than 5, there is an additional condition.

If x is less than 3, the value of y is 2.

Otherwise, if x is not less than 3, the value of y is 3. Lastly, if x is equal to 5, the value of y is 4.

In the case of x = 4, x is less than 5 but not less than 3.

Therefore, the condition statement within the else condition is satisfied, resulting in the value of y being 3.

This means that when x is equal to 4, the value of y equals 3 as per the given conditions.

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Answer:

PQ = 3.4

Step-by-step explanation:

We are given the right triangle (notice the right angle) PQR. We know that the length of QR is 6, and that m<PQR is 56°.

We want to find the length of PQ.

We can use trigonometry to solve this. Recall the following identities:

Sine is \(\frac{opposite}{hypotenuse}\)

Cosine is \(\frac{adjacent}{hypotenuse}\)

Tangent is \(\frac{opposite}{adjacent}\)

The "opposite" and "adjacent" sides are used in reference to a specific angle.

The angle that we will use as reference will be <PQR.

The opposite side will be the side that is opposite of the angle - in this case, it will be PR.

The adjacent side will be the side that is adjacent to the opposite side; in this case, it will be PQ.

The hypotenuse is always the side that is opposite to the right angle, so the hypotenuse will be QR.

Since we know the value of the hypotenuse, and we want to find the adjacent side, we should use the cosine of <PQR, or cos56 (as we are referencing everything using <PQR).

So, as an equation, this will be:

\(cos( < PQR) = \frac{PQ}{QR}\)

We can substitute our values in to get:

\(cos56 = \frac{PQ}{6}\)

We can multiply both sides by 6 to get:

6(cos56) = PQ

Plug 6(cos56) into your calculator. Make sure that it is in degree mode.

3.355 ≈ PQ

We should round this to the nearest tenth, so PQ = 3.4.

The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is;

⇒ - 9 + 7x < 47

Now, Solve the expression as;

The inequality is;

⇒ - 9 + 7x < 47

Solve as;

⇒ - 9 + 7x < 47

Add 9 both side;

⇒ - 9 + 7x + 9 < 47 + 9

⇒ 7x < 56

Divide by 7, we get;

⇒ 7x/7 < 56/7

⇒ x < 8

Therefore, The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

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Answer:

√13 = 3.6

Step-by-step explanation:

√13 = 3.6

Answer:

√13 = 3.6

Step-by-step explanation:

√13 = 3 -  ratio of distance + ratio of square roots of 16 to 9

√13 = 3 -  3 / 4 + 4 / 3

√13 = 3 + 0.58333333

√13 = 3 . 583333

√13 ≈ 3.6

k12 semster test

3.60 :)

(a) The population is increasing when dP/dt is positive. We can set 1.5P(1-P/4300) > 0 and solve for P. This gives us two intervals: P < 0 and 0 < P < 4300. However, P cannot be negative in this context, so the answer is P is in (0, 4300).

(b) The population is decreasing when dP/dt is negative. We can set 1.5P(1-P/4300) < 0 and solve for P. This gives us two intervals: P < 0 and P > 4300. However, P cannot be negative in this context, so the answer is P is in (4300, infinity).

(c) Equilibrium solutions occur when dP/dt = 0. We can set 1.5P(1-P/4300) = 0 and solve for P. This gives us two equilibrium solutions: P = 0 and P = 4300.

(a) A population is increasing when dP/dt > 0. In this case, dP/dt = 1.5P(1 - P/4300). To find when this is positive, we analyze the factors:

1.5P > 0, which implies P > 0.
1 - P/4300 > 0, which implies P < 4300.

Combining these inequalities, we get the interval for increasing population: P is in (0, 4300).

(b) A population is decreasing when dP/dt < 0. Using the same equation, we need to find when this is negative:

1.5P < 0, which implies P < 0.
1 - P/4300 < 0, which implies P > 4300.

However, since the population cannot be negative, there is no interval for decreasing population.

(c) Equilibrium solutions occur when dP/dt = 0, which implies 1.5P(1 - P/4300) = 0. This leads to two equilibrium solutions: P = 0 and P = 4300.

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The null hypothesis (H0) for this ANOVA test is that there is no significant difference among the means of the groups being compared. The alternative hypothesis (H1) is that there is a significant difference among the means of the groups.

In an ANOVA (Analysis of Variance) test, the null hypothesis (H0) states that there is no significant difference among the means of the groups being compared. This means that any observed differences in means are due to random variation or chance.

The alternative hypothesis (H1), on the other hand, asserts that there is a significant difference among the means of the groups. It suggests that the observed differences are not due to chance and that there are actual differences between the groups.

To conduct the ANOVA test, we need to determine the degrees of freedom for errors (v1 and v2). The degrees of freedom for errors represent the variability within the data and are used to calculate the critical value from the F-distribution. The formula for calculating the degrees of freedom for errors in an ANOVA test is (k - 1) and (N - k), where k is the number of groups being compared and N is the total number of observations.

For example, if we are comparing the means of three groups and we have a total of 30 observations, the degrees of freedom for errors would be (3 - 1) and (30 - 3), which are 2 and 27, respectively.

To conduct the test at the 5% level of significance, we would compare the calculated F-value to the critical F-value obtained from the F-distribution with the appropriate degrees of freedom.

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Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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9514 1404 393

Answer:

  D.  -0.9

Step-by-step explanation:

The magnitude of the correlation coefficient ranges from 0 (no correlation) to 1 (perfect correlation). Correlation is the strongest when the magnitude of the correlation coefficient is nearest 1.

Of the choices offered, the strongest correlation is indicated by a coefficient of -0.9, choice D.

Answer:

D. - 0.9

Step-by-step explanation:

The total area of the colored rectangles is 62 square feet

Given that: the room is  12 x 16 with an 8 x 10 piece of linoleum centered in the room

The shape will be treated as a composite rectangle. Thus, the room can be divided into smaller rectangles as shown in the image attached.

For the Yellow part:

Length(L) = 8 + 2 = 10 feet

width(W) = 3 feet

Area(A) = L × W

A = 10 × 3 = 30 square feet

For the Blue part:

Length(L) = 2 feet

Width(W) = 3 + 10 = 13feet

Area(A) = L × W

A = 13 × 2 = 26 square feet

For the Green part:

Length(L) = 2 feet

width(W) = 3 feet

Area(A) = L × W

A =  2 × 3 = 6 square feet

Total colored area = Area of Yellow +  Area of Blue +  Area of Green

Total colored area = 30 + 26 + 6 = 62 square feet

Therefore, the total colored area is 62 square feet

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Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

Answer:

Part of her?

Step-by-step explanation:

What..-?