Determine the x- and y- intercepts for the graph defined by the given equation. x = -9 Please select the best answer from the choices provided ​

Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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When radioing the hospital to give a report on a patient, it is important to use code words to protect the patient's identity, remain objective and impartial, and provide as much detail as possible.

It is not necessary to speak quickly, as clear and accurate communication is more important than speed. Providing detailed information about the patient's condition, including vital signs and any treatment administered, will help the hospital staff prepare for the patient's arrival and provide appropriate care. Additionally, it is important to maintain patient confidentiality and avoid disclosing any identifying information that could potentially compromise the patient's privacy.

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Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

1. Here 7/10 of the students would attend any of the dances held at the school.

\(=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560\)

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

\(= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656\)

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

\(=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288\)

Out of the 800 students, 288 do not like to attend dances after the football games.

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Any families that watched less than 10 hours or more than 58 hours (i.e., mean ± 2 standard deviations) could be considered outliers.  

To estimate the number of families in the s(ample, we need more information about the data. We know that 24 families turned on the television for 19 hours or less but we don't know the total number of families in the sample.

One possible approach is to use the median and interquartile range (IQR) to estimate the sample size. The IQR is the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. Since the median is 30.2 hours, we can assume that half of the families watched more than 30.2 hours and half watched less. Therefore, the median is equivalent to the 50th percentile (Q2).

Using this information, we can estimate that Q1 is around 22 hours (since Q1 to Q2 is half the range of data), and Q3 is around 46 hours (since Q2 to Q3 is also half the range). The IQR is then 46 - 22 = 24 hours.

We can use the IQR to estimate the spread of the data and identify any outliers. If we assume that the data follows a normal distribution, we can use the rule of thumb that states that about 50% of the data falls within one standard deviation of the mean. Since the mean is 34 hours and the IQR is 24 hours, we can estimate that one standard deviation is around 12 hours. Therefore, any families that watched less than 10 hours or more than 58 hours (i.e., mean ± 2 standard deviations) could be considered outliers.

Based on this analysis, we can estimate that there are around 48 families in the sample (assuming a symmetric distribution). However, this is just a rough estimate and may not be accurate without more information about the data.

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Answer: number three the answer is 0.15 And for number four the answer is 0.49, 0.5, 3/5, 17/20

Step-by-step explanation:

Answer:

B. 4.09 cm²

Step-by-step explanation:

Let point O be the center of the circle.

As the center of the circle is the midpoint of the diameter, place point O midway between P and R.

Therefore, line segments OP and OQ are the radii of the circle.

As the radius (r) of a circle is half its diameter, r = OP = OQ = 5 cm.

As OP = OQ, triangle POQ is an isosceles triangle, where its apex angle is the central angle θ.

To calculate the shaded area, we need to subtract the area of the isosceles triangle POQ from the area of the sector of the circle POQ.

To do this, we first need to find the measure of angle θ by using the chord length formula:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Chord length formula}\\\\Chord length $=2r\sin\left(\dfrac{\theta}{2}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the central angle.\\\end{minipage}}\)

Given the radius is 5 cm and the chord length PQ is 6 cm.

\(\begin{aligned}\textsf{Chord length}&=2r\sin\left(\dfrac{\theta}{2}\right)\\\\\implies 6&=2(5)\sin \left(\dfrac{\theta}{2}\right)\\\\6&=10\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{3}{5}&=\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{\theta}{2}&=\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=2\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=73.73979529...^{\circ}\end{aligned}\)

Therefore, the measure of angle θ is 73.73979529...°.

Next, we need to find the area of the sector POQ.

To do this, use the formula for the area of a sector.

\(\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}\)

Substitute θ = 73.73979529...° and r = 5 into the formula:

\(\begin{aligned}\textsf{Area of section $POQ$}&=\left(\dfrac{73.73979529...^{\circ}}{360^{\circ}}\right) \pi (5)^2\\\\&=0.20483... \cdot 25\pi\\\\&=16.0875277...\; \sf cm^2\end{aligned}\)

Therefore, the area of sector POQ is 16.0875277... cm².

Now we need to find the area of the isosceles triangle POQ.

To do this, we can use the area of an isosceles triangle formula.

\(\boxed{\begin{minipage}{6.7 cm}\underline{Area of an isosceles triangle}\\\\$A=\dfrac{1}{2}b\sqrt{a^2-\dfrac{b^2}{4}}$\\\\where:\\ \phantom{ww}$\bullet$ $a$ is the leg (congruent sides). \\ \phantom{ww}$\bullet$ $b$ is the base (side opposite the apex).\\\end{minipage}}\)

The base of triangle POQ is the chord, so b = 6 cm.

The legs are the radii of the circle, so a = 5 cm.

Substitute these values into the formula:

\(\begin{aligned}\textsf{Area of $\triangle POQ$}&=\dfrac{1}{2}(6)\sqrt{5^2-\dfrac{6^2}{4}}\\\\ &=3\sqrt{25-9}\\\\&=3\sqrt{16}\\\\&=3\cdot 4\\\\&=12\; \sf cm^2\end{aligned}\)

So the area of the isosceles triangle POQ is 12 cm².

Finally, to calculate the shaded area, subtract the area of the isosceles triangle from the area of the sector:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Area of sector $POQ$}-\textsf{Area of $\triangle POQ$}\\\\&=16.0875277...-12\\\\&=4.0875277...\\\\&=4.09\; \sf cm^2\end{aligned}\)

Therefore, the area of the shaded region is 4.09 cm².

Given:

Using synthetic division we get,

Hence, the answer is,

Hi!

Your answer would be: 3(or 4, or 5)

but the main answer is 3.

Hope this helps!

The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

\(\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}\)

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

\(\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}\)

Simplify

\(\mathbf{E(x)=\mid 5- 3\times 7\mid}\)

\(\mathbf{E(x)=\mid 5- 21\mid}\)

Simplify

\(\mathbf{E(x)=\mid- 16\mid}\)

Remove absolute brackets

\(\mathbf{E(x) = 16}\)

Hence, the commission for the sales of 7 cars is 16

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Answer:

11/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5x + 4y)/2

x = 3

y = -1

Step 2: Evaluate

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

\(\frac{5x+4y}{2}\\=\frac{5(3)+4(-1)}{2}\\=\frac{15-4}{2}\\=\frac{11}{2}\)

Answer:

hmmmmm

Step-by-step explanation:

Answer:

m∠SRT = 47°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

So,

16x - 1 = 1/2(30x + 4) = 15x + 2

x - 1 = 2

x = 3

m∠SRT = 16(3) - 1 = 48 - 1 = 47

In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

The graph shows that the function has a decreasing end behavior without bound.

This means that as x increases, f(x) decreases indefinitely. The arrow on the graph indicates this trend, as the function extends without limit.

The graph clearly illustrates that as x increases, f(x) approaches the x-axis. Therefore, it can be concluded that the function approaches negative infinity as x approaches infinity.

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Answer:

62

Step-by-step explanation:

Answer:

x = 61.641°

Step-by-step explanation:

Hope it's help, study well and goodluck!!

Answer:

1700 meters

Step-by-step explanation:

\(1 \: km \: = 1000 \: meters \\ 1.7 \: km = 1.7 \times 1000 = 1700 \: meters\)

Answer:

starting at (0, 8), each point is up 1 and right 4

Step-by-step explanation:

y- intercept is (0,8)

slope is 1/4

(4,9)

(8,10)

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\(\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}\)

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\(\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}\)

Step # 1 : Swap the first and second matrix rows,

\(\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}\)

Step # 2 : Cancel leading coefficient in row 2 through \(R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1\),

\(\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}\)

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\(\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}\)

As you can see our solution is x = 15, y = - 11 or (15, - 11).

60% of the pieces of candy in the bowl are chocolate.

(15/25)*100 = 60%

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

Given the system of linear differential equations can be put in the form (A - λI)X = 0, where λ and X are the eigenvalue and eigenvector of the matrix A, respectively. Determine λ and X and determine whether the system is homogeneous or non-homogeneous. Choose the largest interval such that a unique solution of the initial value problem is guaranteed to exist.For the given system of linear differential equations:

dx/dt = 4x + 6y

dy/dt = -2x - 4y

the matrix A is given by:

 [4   6 ][-2 -4 ]

The eigenvalue λ can be found from the characteristic equation det(A - λI) = 0 as follows:

[4 - λ   6    ][-2    -4 - λ] = 0λ² - λ - 8 = 0

Solving the above equation, we get, λ = -1 and λ = 8.

Therefore, λ1 = -1 and λ2 = 8 are the eigenvalues of matrix A.

To find the eigenvectors, we solve the equation (A - λI)X = 0 for each λ separately.

For λ1 = -1, we get[A - (-1)I]X = 0

⇒[5   6 ][x    ] = 0[-2   -3][y    ]      [x    ][-2y  ]

Therefore, the eigenvector corresponding to

λ1 = -1 is

X1 = [x y]T = [2 -1]T.

For λ2 = 8, we get

[A - 8I]X = 0⇒[-4   6 ][x    ]

= 0[-2  -12][y    ]  [x    ][3y   ]

Therefore, the eigenvector corresponding to

λ2 = 8 is

X2 = [x y]T = [3 1/2]T.

The given system of linear differential equations can be written in the matrix form as

dX/dt = AX,

where A is the matrix [4 6][-2 -4] and X is the column vector [x y]T.

The general solution of this system is given by

X(t) = c1 e^(λ1t)X1 + c2 e^(λ2t)X2,

where c1 and c2 are constants of integration and X1 and X2 are the eigenvectors corresponding to the eigenvalues λ1 and λ2, respectively. Therefore, the general solution of the given system is given by

x(t) = 2c1 e^(-t) + 3/2 c2 e^(8t)y(t)

= -c1 e^(-t) + 1/2 c2 e^(8t)

where c1 and c2 are constants of integration to be determined from the initial conditions. Since the system of differential equations is homogeneous, the trivial solution x(t) = y(t) = 0 is a solution of the system. Hence, the system is homogeneous.

The given initial value problem has initial conditions x(0) = 1 and y(0) = 0.

Therefore, we have

c1 + 3/2 c2 = 1 and

-c1 + 1/2 c2 = 0

Solving these two equations, we get c1 = 1/5 and c2 = 2/5.

Therefore, the particular solution of the given initial value problem is given by

x(t) = (2/5) e^(-t) + (6/5) e^(8t)y(t)

= -(1/5) e^(-t) + (1/5) e^(8t)

Hence, the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

The system of linear differential equations is homogeneous and the largest interval such that a unique solution of the initial value problem is guaranteed to exist is (-∞, ∞).

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The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

y = 6x + 10

Isaiah makes $34.00 after working for 4 hours.

Step-by-step explanation:

Slope intercept form is y=mx+b

In this situation the equation would look like so, x = amount of hours:

y = 6x + 10

To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.

y = 6(4) + 10

y = 24 + 10

y = 34

Isaiah makes $34.00 after working for 4 hours.

Hope that helps and have a great day!

\( \large \tt \: m = - \frac{3}{7} \)

Answer:

slope = - \(\frac{3}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, \(\frac{2}{7}\) ) and (x₂, y₂ ) = (1, \(\frac{5}{7}\) )

m = \(\frac{\frac{5}{7}-\frac{2}{7} }{1-2}\) = \(\frac{\frac{3}{7} }{-1}\) = - \(\frac{3}{7}\)

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Answer:

3x + 70 − 7x ≥ 18

Step 1: Simplify both sides of the inequality.

−4x + 70 ≥ 18

Step 2: Subtract 70 from both sides.

−4x + 70 − 70 ≥ 18 − 70

−4x ≥ −52

Step 3: Divide both sides by -4.

−4x /−4  ≥  −52 /−4

x ≤ 13

Answer:

Approximate of 40 Million Televisions

Step-by-step explanation:

there were 40 million more families with televisions in 2015 after a long period of time after 1980

I hope this helped!