What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?

Answer:

a cubic

y =(x^3)

Step-by-step explanation:

Your question is: The volume of a rectangular prism with a length of x meters, a width of x − 1 meters, and a height of x + 11 meters is no more than 180 cubic meters. What are the possible values of the length? (1, 4) [1, 4] (0, 4)

The answer would be (1,4)

Answer:

C. (1,4)

Step-by-step explanation:

edge 2020

The value of the composite function f(g(x)) is 2(x-8)^2

Composite functions are functions in another function. Given the following functions

f(x)=2x^2 and

g(x)=x-8

Determine f(g(x))

f(g(x)) = f(x-8)

f(x-8) = 2(x-8)^2

f(g(x)) = 2(x-8)^2

Hence the value of the composite function f(g(x)) is 2(x-8)^2

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

If Tonia eats 1/8 of the cake, then the fraction of the cake left is:

1 - 1/8 = 7/8

If Trinny eats 1/6 of the cake, then the fraction of the cake left is:

1 - 1/6 = 5/6

Since Tonia and Trinny have identical cakes, the amount of cake left is the same for both of them. Therefore, the amount of cake left is:

(7/8 + 5/6) / 2 = 41/48

So there is 41/48 of the cake left.

Answer:

The present value of leasing the towers is $19,576,000 while the present value of erecting new towers is $20,273,000. Therefore, the company should lease the towers.

Step-by-step explanation:

Answer:

B. 18

Step-by-step explanation:

Quadrilateral ABCD is a rectangle.

Diagonals AC and BD intersect at point E.

Diagonals of a rectangle are equal in length.

\(\implies BD = AC\)

Diagonals of a rectangle bisect each other.

\(\implies\frac{1}{2} BD = \frac{1}{2} AC\\\\\implies DE = \frac{1}{2} \times 36\\ \\ \implies DE = 18\)

Answer:

64

73

82

91

Step-by-step explanation:

All the two digit numbers with the sum of 10

19

28

37

46

55

64

73

82

91

The numbers whose leading digit is greater than the units digit is:

64

73

82

91

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

\(v = 252mm ^{3} \)

Step-by-step explanation:

hope it helps you

have a great day

Answer:

hey! sis.

...............

Answer:

325

Step-by-step explanation:

i dont know

The equation which ultimately describes the relationship between the total charges and the tax, y and the number of cubic feet of water used, x is;

According to the question, we are required to determine which equation describes the relationship between y, the total of the charges and the tax, per month in dollars, and x , the number of cubic feet of water used that month.

Therefore, the company's charge before tax should be;

y = (20 + 0.15x)

However, since the company charges 7% tax on the two charges.

Ultimately, 107% of the normal charges is paid.

The equation which ultimately describes the relationship between the total charges and the tax and the number of cubic feet of water used is;

y = 1.07(20 + 0.15x)

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Answer:

y=1.07(20+0.015x

Step-by-step explanation: See above answer

Step-by-step explanation:

this is the sum

hope you understand

Answer:

its B

Step-by-step explanation:

I took the test

We can determine the shortest distance from the surface xy+15x+z^2=209 to the origin.

Given the equation of the surface is xy + 15x + z^2 = 209.

Let's determine the shortest distance from the surface to the origin.

The shortest distance between the surface and the origin is given by the perpendicular distance, which can be calculated as follows:

Firstly, we need to determine the gradient of the surface, which is the vector normal to the surface.

For this purpose, we need to write the surface equation in the standard form, which is:xy + 15x + z^2 = 209 xy + 15x + (0)z^2 - 209 = 0 (the coefficients of x, y, and z are a, b, and c).

The gradient of the surface is given by the vector: ∇f = (a, b, c) = (y + 15, x, 2z) at the point P(x, y, z), which is a point on the surface.

Here, the normal vector is ∇f = (y + 15, x, 2z).

Now, let's consider a point A on the surface which is closest to the origin.

Let the coordinates of A be (a, b, c).

Therefore, the position vector of A is given by: OA = ai + bj + ck.

The direction of the position vector is in the direction of the normal vector, and therefore: OA is parallel to ∇f.

Thus, we can write: OA = λ∇f = λ(y + 15)i + λxj + 2λzkWhere λ is a scalar.

Since A lies on the surface, we have: a*b + 15a + c^2 = 209.

We also know that OA passes through the origin.

Therefore, the position vector of A is perpendicular to the direction vector OA.

This gives us: OA·OA = 0⟹ (ai + bj + ck)·(λ(y + 15)i + λxj + 2λzk) = 0

Simplifying this equation gives us:aλ(y + 15) + bλx + c(2λz) = 0

Also, we know that OA passes through the origin.

Therefore, the magnitude of OA is equal to the distance of A from the origin.

Hence, we can write: |OA| = √(a^2 + b^2 + c^2)

The value of λ can be obtained from the equation: aλ(y + 15) + bλx + c(2λz) = 0orλ = -2cz / (b + a(y + 15))

Substituting this value of λ in OA, we get: OA = λ(y + 15)i + λxj + 2λzk= -2cz/(b + a(y + 15)) (y + 15)i - 2cz/(b + a(y + 15)) xj - 4cz^2/(b + a(y + 15))k

Substituting this value of λ in |OA|, we get: |OA| = √[(2cz/(b + a(y + 15)))^2 + (2cz/(b + a(y + 15)))^2 + (4cz^2/(b + a(y + 15)))^2] = 2cz√[(y + 15)^2 + x^2 + 4z^2] / |b + a(y + 15)|

The distance of the point A from the origin is |OA|, which is minimized when the denominator is maximized. The denominator is given by |b + a(y + 15)|.

Thus, we have to maximize the denominator with respect to a and b. The condition for maximum value of the denominator is obtained by differentiating the denominator with respect to a and b separately and equating it to zero. The values of a and b obtained from these equations are substituted in the equation a*b + 15a + c^2 = 209 to obtain the coordinates of the point A, which is closest to the origin.

Hence, we can determine the shortest distance from the surface xy+15x+z^2=209 to the origin.

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Answer:(0,5)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

it is 5 because they are starting with 5 on the plot.

Answer:

The answer is D.

Step-by-step explanation:

Range of a function is determined by the y-axis.

Domain of a function is determined by the x-axis.

So in this graph, the maximum value of y is 2 and the minimum is -3.

Answer:

A. 648

Step-by-step explanation:

The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).

Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.

For a single row border,  

the number of tiles required for its length = 202 /2 = 101

the number of tiles required for its width = 122/2 = 61

For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)

                       = 324

The number of tiles for a single row border is 324.

The number of tiles required to make the double row of tiles border = 2 (324)

                            = 648

The number of tiles required to make the border is at least 648.

Answer:

$ 36.00

Step-by-step explanation:

Tip Total: $ 7.20

Total (Bill + Tip): $ 36.00

Answer:

(a) \(y'= 2cos(2x - \pi)\)

(b) \(y=2x - \pi + 1\)

(c) \(y=-\frac{x}{2} +\frac{\pi + 4}{4}\)

Step-by-step explanation:

\(y=sin(2x-\pi)+1\)

Find the derivative of this function by using the chain rule and the power rule.

We know that the derivative of sinx = cosx. Find the derivative of this entire function first, \(sin(2x-\pi)+1\), then multiply this by the derivative of the inside function, \(2x-\pi\).

Use the chain rule to find the derivative of sin(2x - π) + 1, which is cos(2x - π), then multiply this by the derivative of (2x - π). The derivative of π is 0, because it is a constant. The derivative of 2x is 2 based on the Power Rule.

Simplify this expression.

This is the derivative of \(y=sin(2x-\pi)+1\); therefore, we can write:

In order to find the equation of the tangent line at \(x=\frac{\pi}{2}\), we will need to find the slope of the tangent line and the x- and y- coordinates (we already know the x- cord).

The steps to finding the equation of the tangent line at a certain are:

We know that y' = 2cos(2x - π). Let's plug x = π/2 into this equation for x to find the slope of the tangent line.

Simplify inside the parentheses.

Now we know that the slope of the tangent line is 2.

Let's plug x = π/2 into the original function, y.

Simplify inside the parentheses.

This tells us that the y-value, when x = π/2, equals 1. Our coordinates that we can use are (π/2, 1).

Now we can use point-slope form to write an equation for the tangent line to y at x = π/2.

Point-slope equation:

We have \((x_1, \ y_1)\), which are the x- and y- coordinates, and \(m\), which is the slope of the tangent line.

Substitute these values into the equation:

Distribute 2 inside the parentheses.

Add 1 to both sides of the equation.

This is the equation of the tangent line of \(y=sin(2x-\pi)+1\) at \(x=\frac{\pi}{2}\).

In order to find the equation of the normal line at x = π/2, we can use the information that the tangent line is perpendicular to the normal line.

This information is helpful because this means that their slopes are opposite reciprocals.

Let's use the point-slope equation again, but instead of m = 2, m will be the opposite reciprocal of 2 ⇒ -1/2. We will still use the same coordinate points.

Distribute -1/2 inside the parentheses.

Add 1 to both sides of the equation.

You can leave it written as this, or write it as:

This is the equation of the normal line of \(y=sin(2x-\pi)+1\) at \(x=\frac{\pi}{2}\).

Answer:

Step-by-step explanation:

1) x³-2x²+10x+136=0;

the roots are among ±1; ±2; ±4; ±8; ±17... If to substitute x=-4, then 0=0, it means, x= -4 is root of the given equation. Then if to re-write the equation, then (x+4)(x²-6x+34)=0. Finally, the only root, x=-4.

2) 2x³+2x²-19x+20=0;

the roots are among ±0.5; ±1; ±2; ±2.5; ±4; ±5... If to substitute x= -4, then 0=0, it means x=-4 is root of the given equation. Then if to re-write the equation, then (x+4)(x²-3x+2.5)=0. Finally, the only root is x= -4.

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

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okay

The probability of an event is always less than 1 and they cannot be negative

A) The probability of adopting a broen puppy is -0.25

Here probability is negative, which is not possibel

So, The statement doesnot correctly use the probability:

B) The probbaility of having spaghet for dinner is 50%

50% = 0.5

so, they show coorect probability

C) The probability getting lost while driving on vacation is 2/3

2/3= 0.66

So, they show correct probability

D) The probability that Mr.Brown assign homework is 0.9

0.9 is less than 1 so, it show correct probability.

Answer : A) The probability of adopting a broen puppy is -0.25

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

B

Step-by-step explanation:

To find \((\frac{f}{g} )(x)\) you can write the expression as \(\frac{f(x)}{g(x)}\). We can substitute the f(x) and g(x) into the expression to get: \(\frac{\sqrt[3]{4x} }{2x+3}\). Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  \(2x + 3\neq 0\) and we can solve it:

\(2x\neq -3\)

\(x\neq -\frac{3}{2}\)

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

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Answer:

B.

Step-by-step explanation:

The graphed line has a slope of 3 which is higher than the functions slope of 2. It also has a y-intercept of 4 while the functions y-intercept is -5, therefore it is higher.

Answer:

There you go cupcake!