which of the following is the graph of
\(y = - 4 \sqrt{x} \)


​

Answer:

Step-by-step explanation:

$1.03 x 5 = $5.15

$2.68 x 1 = $2.68

$5.15+$2.68=$7.83

The value(s) of k that make the function continuous over the given interval are k ≥ 0.

To determine the values of k that make the function f(x) continuous over the interval [0, 5] and (5, 10], we need to ensure that the function is defined and has no discontinuities at the endpoints and the transition point.

For the function f(x) = √(kx), the square root function is defined for non-negative values of its argument. Therefore, for the interval [0, 5], we require that kx ≥ 0 for all x in the interval. Since x is non-negative, it follows that k must also be non-negative or k ≥ 0.

For the interval (5, 10], the function is given by f(x) = x + 2, which is a linear function and is continuous for all real values of x. In this case, the value of k does not affect the continuity of the function.

In summary, for the function f(x) = √(kx) to be continuous over the interval [0, 5] and (5, 10], we need k to be non-negative or k ≥ 0.

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A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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Answer:

need a image to answer this

Answer: If pqr ~ stu, then we know that the corresponding sides are proportional.

We have pq=25 and st=10, so we can find the ratio of corresponding sides as:

25 / 10 = 2.5

This means that each side of stu is 2.5 times smaller than the corresponding side of pqr.

The perimeter of pqr is 75, so we can find the length of the other sides by subtracting the length of pq from the perimeter and dividing by 2:

(pq + qr + rp)/2 = (25 + qr + rp)/2 = 75/2

25 + qr + rp = 75

qr + rp = 50

Since pqr ~ stu, we know that the ratio of perimeters is also 2.5. Therefore, the perimeter of stu is:

Perimeter of stu = 2.5 (st + tu + us)

We know st=10, so we can find the other sides as:

tu = qr / 2.5 = 50 / 2.5 = 20

us = rp / 2.5 = 50 / 2.5 = 20

Therefore, the perimeter of stu is:

Perimeter of stu = 2.5 (10 + 20 + 20) = 2.5 (50) = 125

So the perimeter of stu is 125.

Step-by-step explanation:

Answer: Number 1 is B  Number 2 is D Number 3 is C  Number 4 is D Number 5 is A

Step-by-step explanation:

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

Estimate number of tires the company paid for using compatible numbers will be 60.

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.  Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier. We can round the numbers to the nearest ten, hundred, thousand or ten thousand to make them compatible numbers. For instance, if we have to add 493 and 549, we can make the numbers compatible by rounding them up to the nearest tens or hundreds. 490 and 550 (rounded to the nearest tens) or 500 and 500 (rounded to the nearest hundreds) are much easier to solve.

So, we know the answer is about 1040 or 1000.

Now, a tire company paid $4,992 for 64 tires and we have to find estimate number of tires the company paid for using compatible number-

So, we make the number compatible by rounding of -

Estimate number of tires the company paid for using compatible numbers will be 60.

We can also find estimated cost for one tire i.e. $5,000/ 60 = 2500 / 3 = 83.333.

Hence, Estimate number of tires the company paid for will be 60.

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The general solution of the system of equations x' = Ax is x = [0, 0].

To find the general solution of the system of equations x' = Ax, where A is the given matrix, we can follow these steps:

Find the eigenvalues of matrix A by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue.

Let's calculate the characteristic equation:

| 1 - λ 1 |

| 0 - λ |

(1 - λ)(-λ) - 1 = 0

λ^2 - λ - 1 = 0

Using the quadratic formula, we find the eigenvalues:

λ = (1 ± √5) / 2

The eigenvalues are (1 + √5) / 2 and (1 - √5) / 2.

Find the corresponding eigenvectors for each eigenvalue.

For λ = (1 + √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 + √5) / 2 1 |

| 0 - (1 + √5) / 2 |

Simplifying:

| -√5 / 2 1 |

| 0 -√5 / 2 |

Solving the system of equations:

(-√5 / 2) * x + y = 0

(-√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (-√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 + √5) / 2 is v1 = [0, 0].

For λ = (1 - √5) / 2:

Let's solve the equation (A - λI) * v = 0 to find the eigenvector v.

| 1 - (1 - √5) / 2 1 |

| 0 - (1 - √5) / 2 |

Simplifying:

| √5 / 2 1 |

| 0 √5 / 2 |

Solving the system of equations:

(√5 / 2) * x + y = 0

(√5 / 2) * y = 0

From the second equation, we have y = 0.

Substituting y = 0 into the first equation, we have (√5 / 2) * x = 0, which gives x = 0.

So, the eigenvector corresponding to λ = (1 - √5) / 2 is v2 = [0, 0].

Write the general solution of the system.

Since both eigenvectors are [0, 0], the general solution of the system is x = [0, 0] for all t.

Therefore, the general solution of the system of equations x' = Ax is x = [0, 0].

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Answer:

816 = 10.2%

Step-by-step explanation:

800 x (1 + 0.02)1

800 x (1.02)1

800 x 1.02

Accumulated Value = 816

10.2%= of 8000 = 816

Answer:

22?

Step-by-step explanation:

I'm not quite sure

EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

On solving the provided question we can say that  7/8 show 87 and 1/2% as a fraction

Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.  

7/8 show 87 and 1/2% as a fraction

87 and 1/2% should be written as 87.5%

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The result of f times g is; -30x² + 28x - 6 while it's domain as required is the set of all real numbers.

As evident in the task content;

f(x) = -5x + 3 while g(x) = 6x - 2.

Hence, the result of f times g is; (-5x + 3) (6x - 2).

open parenthesis

f × g = -5x(6x) - 5x(-2) + 3(6x) + 3(-2)

= -30x² + 10x + 18x - 6

f × g = -30x² + 28x -6.

By observation, the function above is a quadratic function and hence, it's domain is the set of all real numbers.

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Based on the points on the graph, the correct matches are:

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

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Answer:

The answer to your question is 7/24. 7/24 is in simplest form.

Hope this helps, have a nice day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

Based on the given sample, the number of voters vote for the incumbent are 1,200,000.

Based on the sample, it can be estimated that approximately 1,200,000 of the 2,000,000 voters will vote for the incumbent.

This can be calculated by taking the sample size of 10 and multiplying it by the proportion of votes that the incumbent received (6/10).

This gives a result of 6/10 x 2,000,000 = 1,200,000.

However, it is important to note that this is just an estimate and the actual number of votes for the incumbent could be higher or lower than 1,200,000.

Therefore, based on the given sample, the number of voters vote for the incumbent are 1,200,000.

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Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

Answer:

A tourist receives 2376 ec currency in exchange for us 1200.

Step-by-step explanation:

This can be calculated as follows:

Tax rate = 1%

Amount of us currency = 1200

Total amount of ec currency = Amount of us currency * 2 = 1200 * 2 = 2400

Amount of tax = Total amount of ec currency * Tax rate = 2400 * 1% = 24

Net amount of ec currency = Total amount of ec currency - Amount of tax = 2400 - 24 = 2376

Net amount ec currency obtained above is the amount of ec currency which a tourist receives in exchange for us 1200.

Therefore, a tourist receives 2376 ec currency in exchange for us 1200.

EXPAND

2w + 6 = 14

BALANCE OUT (-6 from both sides)

2w = 8

SOLVE

2w =8

÷2 ÷2

w = 4

Answer:

y = -6x + 42

Step-by-step explanation:

Slope (m) =(y2-y1)/(x2-x2) = -6/1 = -6

b=42

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

                                    = 4 × (AB)

Formula to calculate the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \(\sqrt{(2+2)^2+(7-1)^2}\)

AB = \(\sqrt{4^2+6^2}\)

AB = \(\sqrt{52}\)

AB = \(2\sqrt{13}\)

Now area of  square ABCD = 4 × \(2\sqrt{13}\)

                                              = \(8\sqrt{13}\) unit

Therefore, option (1) will be the answer.

Ight Imma head out because I have no idea what you're saying

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Given the system:

y = 3x + 4

y = 2x - 6

3x + 4 = 2x - 6

3x - 2x = -6 - 4

x = - 10

y = 3(-10) + 4

y = -26

(-10, - 26) one solution

Answer: x=0

Step-by-step explanation: f(x)=(x+2)x2-4

                                               0=2x+4-4

                                                0=2x

                                                 2x/2=0

                                                  0/2=0

                                             x=0

Answer: Correct, 4.4 is the answer when rounded, but to be more exact, it would be 4.420

Step-by-step explanation:

The only discrepancy is the rounding, the rest of the work is correct. It is subjective to the teacher whether the answer is sufficient or not, but you did a great job otherwise. If your teacher does want preciseness, however, I would not round to 4.5, it would be more accurate as 4.44 when setting up your equation.

Mohr's circle is a graphical method used to determine the principal stresses and shear stresses in a material. Given the stress components σx = 16 ksi, σy = 9 ksi, and τxy = 5 ksi, we can follow several steps to draw and analyze Mohr's circle.

1. To begin, draw a stress element with the x-axis representing normal stress (σ) and the y-axis representing shear stress (τ). Label the x-axis as σ and the y-axis as τ.

2. Find the center of Mohr's circle by calculating the average of the normal stresses: (σx + σy) / 2. In this case, the center is ((16 + 9) / 2, 0) = (12.5 ksi, 0).

3. Determine the radius of Mohr's circle using the formula: R = ((σx - σy) / 2). In this case, the radius is ((16 - 9) / 2) = 3.5 ksi.

4. Draw Mohr's circle with the center at (12.5 ksi, 0) and a radius of 3.5 ksi. The circle represents all possible stress states for the given stress components.

5. To draw the principal stress element, draw a line from the center of the circle to the right edge of the circle. The angle between this line and the x-axis represents the orientation of the principal stress element.

To find the absolute shear stress when σx = σy, we need to identify the point on Mohr's circle where the x-axis intersects. At this point, the shear stress (τ) is zero, since there is no shear stress when σx = σy.

Mohr's circle can be drawn by following the steps outlined above. The circle represents all possible stress states, and the principal stress element can be identified by drawing a line from the center to the right edge of the circle. The absolute shear stress when σx = σy is zero, as indicated by the point where the x-axis intersects Mohr's circle.

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