what is the value of x when y= -1

Answer:

-41x-6 is the answer to your question

Answer:

x² + 2x - 24

Step-by-step explanation:

a = lw

a = (x + 4)(2x - 6)

a = x² - 6x + 8x - 24

a = x² + 2x - 24

Answer:

The volume is 3150ft³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, cuboid

Given data

Area =450 ft²

Height h =7ft

We know that the volume of a cuboid

Volume = length x width x height

Volume =lbh

Volume = area x height

Volume = 450*7= 3150ft³

We can express the solution to the original differential equation as:y2(x) = u(x) y1(x) = [c2 + c1 e x2/2 + C] e x

To verify that y1(x) = e x is a solution of (1), we will substitute y1(x) and its first and second derivatives into (1).y1(x) = e xy1′(x) = e xy1′′(x) = e xEvaluating the equation (x + 1)y ′′ − (x + 2)y ′ + y = 0 with these values, we get: (x + 1)ex − (x + 2)ex + ex = ex(1) − ex(x + 2) + ex(x + 1) = 0.

Hence, y1(x) = ex is a solution of (1).

Let y2(x) = u(x) y1(x), where u = u(x)Differentiating y2(x) once, we get:y2′(x) = u(x) y1′(x) + u′(x) y1(x).

Differentiating y2(x) twice, we get:y2′′(x) = u(x) y1′′(x) + 2u′(x) y1′(x) + u′′(x) y1(x).

We can now substitute these expressions for y2, y2' and y2'' back into the original equation and we get:(x + 1)[u(x) y1′′(x) + 2u′(x) y1′(x) + u′′(x) y1(x)] − (x + 2)[u(x) y1′(x) + u′(x) y1(x)] + u(x) y1(x) = 0.

Expanding and grouping the terms, we get:u(x)[(x+1) y1′′(x) - (x+2) y1′(x) + y1(x)] + [2(x+1) u′(x) - (x+2) u(x)] y1′(x) + [u′′(x) + u(x)] y1(x) = 0Since y1(x) = ex is a solution of the original equation,

we can simplify this equation to:(u′′(x) + u(x)) ex + [2(x+1) u′(x) - (x+2) u(x)] ex = 0.

Dividing by ex, we get the following differential equation:u′′(x) + (2 - x) u′(x) = 0.

We can solve this equation using the method of integrating factors.

Multiplying both sides by e-x2/2 and simplifying, we get:(e-x2/2 u′(x))' = 0.

Integrating both sides, we get:e-x2/2 u′(x) = c1where c1 is a constant of integration.Solving for u′(x), we get:u′(x) = c1 e x2/2Integrating both sides, we get:u(x) = c2 + c1 ∫ e x2/2 dxwhere c2 is another constant of integration.

Integrating the right-hand side using the substitution u = x2/2, we get:u(x) = c2 + c1 ∫ e u du = c2 + c1 e x2/2 + CUsing the fact that y1(x) = ex, we can express the solution to the original differential equation as:y2(x) = u(x) y1(x) = [c2 + c1 e x2/2 + C] e x.

In this question, we have verified that y1(x) = ex is a solution of the given differential equation (1). We have also found another solution y2(x) of the differential equation by letting y2(x) = u(x) y1(x) and solving for u(x). The general solution of the differential equation is therefore:y(x) = c1 e x + [c2 + c1 e x2/2 + C] e x, where c1 and c2 are constants.

To know more about differential equation visit:

brainly.com/question/32645495

#SPJ11

Graphically, the intersection of the two lines is the solution of the system of equation. The number of games played is 6 and the number of rides y = 2.

While using the graphical approach to solve simultaneous or systems of equations, we build a graph for each equation and search for the intersection of the two graphs. The answer to the system of equations would be the coordinates of the point of intersection.

There is no solution if the two graphs are parallel, which indicates that they do not intersect.

Let us suppose games = x.

Let us suppose rides = y.

Cost of x games = 1.50x

Cost of y rides = 3y

Given that, Julieta spent $15 altogether:

1.50x + 3y = 15

She played a total of 8 games and rides:

x + y = 8

The system of equation is:

1.50x + 3y = 15........eq 1

x + y = 8........eq2

Plot the graph by substituting different values of x and obtaining the value of y.

Graphically, the intersection of the two lines is the solution of the system of equation.

The graph intersects at (6, 2) hence the value of x = 6 and y = 2.

Hence, the number of games played is 6 and the number of rides y = 2.

Learn more about system of equations here:

https://brainly.com/question/12895249

#SPJ1

Answer: A

Step-by-step explanation:

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8

The shortest range of dollar spending on textbooks in a year that includes 60% of all students is approximately $374 to $426.

To find the shortest range of dollar spending on textbooks that includes 60% of all students, we'll use the normal distribution properties. Given a mean (µ) of $400 and a standard deviation (σ) of $50, we need to find the range around the mean that covers 60% of the distribution.

Since the normal distribution is symmetrical, 60% of the area corresponds to 30% of the area in each tail. We'll use the z-score table to find the z-score corresponding to the 30% and 70% percentiles (since the table usually provides cumulative probabilities).

Looking up the z-score table, we find that a cumulative probability of 30% corresponds to a z-score of approximately -0.52, and a cumulative probability of 70% corresponds to a z-score of approximately 0.52.

Now, we'll use the z-score formula to find the corresponding dollar amounts:

X = µ + (z * σ)

For the lower end (z = -0.52):
X = 400 + (-0.52 * 50) ≈ 374

For the upper end (z = 0.52):
X = 400 + (0.52 * 50) ≈ 426

Thus, the shortest range of dollar spending on textbooks in a year that includes 60% of all students is approximately $374 to $426.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ11

Answer:

2. y= -4x-3

Step-by-step explanation:

y=mx+b

slope :m

(0,-3) : m.0+b=-3 => b=-3

(-1,1) : m.1+b= 1 => m=-4

Answer:

time = 70 minutes

Answer:

ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan

Step-by-step explanation:

She's imperfect but she tries

She is good but she lies

She is hard on herself

She is broken and won't ask for help

She is messy but she's kind

She is lonely most of the time

She is all of this mixed up

And baked in a beautiful pie

She is gone but she used to be mine

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Answer:

2x(2a + b)

Step-by-step explanation:

4ax+ 2bx

= 2x (2a + b)

The null and alternative hypotheses in this case would be formulated as follows:

Null Hypothesis (H0): There is no relationship between caffeine consumption per day and episodes of restless sleep.

Alternative Hypothesis (HA): There is a positive relationship between caffeine consumption per day and episodes of restless sleep.

In other words:

H0: β (slope coefficient) = 0

HA: β (slope coefficient) > 0

The null hypothesis assumes that there is no association or correlation between caffeine consumption and episodes of restless sleep. The alternative hypothesis, on the other hand, suggests that there is a positive relationship, indicating that higher caffeine consumption is associated with a greater number of episodes of restless sleep.

These hypotheses would be tested using statistical methods, such as regression analysis, to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

To know more about alternative hypotheses refer here

https://brainly.com/question/28331914#

#SPJ11

If the birth rate was 13 births for every 1,000 people, approximately number of births occurred in the united states in 2005 for a population of approximately 295,000,000 people is 3835000.

In 2005, the united states had a population of approximately 295,000,000 people.

The birth rate was 13 births for every 1,000 people

For every 1000 people the number of births is 13

For every 1 people the number of births is 13/1000

For every 295000000 people the number of births is (13/1000)295000000

For every 295000000 people the number of births is 3835000

Therefore,  if the birth rate was 13 births for every 1,000 people, approximately number of births occurred in the united states in 2005 for a population of approximately 295,000,000 people is 3835000.

To learn more about unitary method refer here

https://brainly.com/question/24587372

#SPJ4

The equations that represent the line are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

An equation that represents a line whose slope is given as m, and it intercepts the y-axis at b, is expressed in slope-intercept form as y = mx + b.

To find the equation of the given line above, pick two points on the line, (0, -1) and (-3, 1) and find the slope (m):

Slope of the line (m) = change in y / change in x = (1 - (-1)) / (-3 - 0)

Slope of the line (m) = 2 / -3

Slope of the line (m) = -2/3.

The line intercepts the y-axis at -1. This means the y-intercept of the line is b = -1.

To write the equation of the line, substitute m = -2/3 and b = -1 into y = mx + b:

y = -2/3x - 1

It can be rewritten as 2x + 3y = –3 in standard form, or as y + 3= –2/3(x – 3) or y – 1 = –2/3(x+3) in point-slope form.

Therefore the answers are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

Learn more about the equation of a line on:

https://brainly.com/question/25969846

#SPJ1

The critical numbers of the given function g(y) = (y-1)/(\(y^2\)-y+1) are obtained as y = 0 and y = 4.

To find the critical numbers of the function g(y) = (y-1)/(\(y^2\)-y+1), we need to determine the values of y where the derivative of g(y) is either zero or undefined.

First, let's find the derivative of g(y).

Using the quotient rule, we have:

g'(y) = [(1)(\(y^2\)-y+1) - (y-1)(2y-1)] / \((y^2-y+1)^2\)

Simplifying, we have:

g'(y) = [\(y^2\) - y + 1 - (2\(y^2\) - 3y + 1)] / \((y^2-y+1)^2\)

g'(y) = (\(-y^2\) + 4y) / \((y^2-y+1)^2\)

To find the critical numbers, we set the numerator of the derivative equal to zero and solve for y:

\(-y^2\) + 4y = 0

Factoring out y, we have:

y(-y + 4) = 0

This equation is satisfied when y = 0 or y = 4. These are the potential critical numbers of the function g(y).

Next, we need to check if there are any values of y that make the denominator \((y^2-y+1)^2\) equal to zero.

However, upon closer examination, we can see that the denominator is always positive for any real value of y.

Therefore, there are no additional critical numbers to consider.

Thus, the critical numbers of the function g(y) = (y-1)/(\(y^2\)-y+1) are y = 0 and y = 4.

Learn more about quotient rule here:

https://brainly.com/question/30401990

#SPJ11

The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

It should be noted that a linear function simply means a function whose graph is a straight line.

From the information given, the slope will be:

= (y2 - y1(/(x2 - x1)

= (3.6 - 3)/(3 - 2.5)

= 1.2

The slope for broccoli is 1.2

The slope of the cauli flower will be:

= (3.20 - 2.75)/(3.20 - 2.75)

= 1

Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

Learn more about linear functions on:

brainly.com/question/4025726

#SPJ1

Answer:

B

Step-by-step explanation:

right on 2022 edg

The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

For more information about, conversion factor, visit :

https://brainly.com/question/28308386

#SPJ4

Answer: 40% of her budget

Step-by-step explanation:

First we need to turn 3 1/3 into an improper fraction:

3 1/3 = 10/3

Because we are dividing, multiply 57 my the reciprocal (the faction flipped upside down) of 10/3:

57 x 3/10

Which can also be written as:

57/1 x 3/10

Now we just multiply:

171/10

Therefore 171/10 is ur answer

Hope this helped :)

If this answered ur question can you pls give me brainiest

It will be best defined as a spurious correlation rather a casual correlation.

What is a spurious correlation?

A spurious correlation occurs when two variables are correlated but don’t have a causal relationship. In other words, it appears like values of one variable cause changes in the other variable, but that’s not actually happening.

If you look up the definition of spurious, you’ll see explanations about something being fake or having a deceitful nature. It has the outward appearance of genuineness, but it’s an imitation. With this definition in mind, spurious correlations look like causal relationships in both their statistical measures and in graphs, but it’s not real.

For example, ice cream sales and shark attacks correlate positively at a beach. As ice cream sales increase, there are more shark attacks. However, common sense tells us that ice cream sales do not cause shark attacks. Hence, it’s a spurious correlation.

Now,

As attending classes is not related to passing the class because one can pass an examination without attending classes.

To know more about spurious correlation visit the link

https://brainly.com/question/29361770?referrer=searchResults

#SPJ1

Answer:

\(0.042~\dfrac{fl~oz}{min}\)

Step-by-step explanation:

1 gal = 231 in.^3

1 gal = 128 fl oz

1 in. = 2.54 cm

1 ml = 1 cm^3

\(\dfrac{490~ml}{6.5~hour} \times \dfrac{1~cm^3}{1~ml} \times \dfrac{1~in.^3}{(2.54~cm)^3} \times \dfrac{1~gal}{231~in.^3} \times \dfrac{128~fl~oz}{1~gal} \times \dfrac{1~hour}{60~min} =\)

\(= 0.042~\dfrac{fl~oz}{min}\)

Answer:

On delta math its 0.04

Step-by-step explanation:

The radius of the clock is 8 cm.

The diameter of the clock is 16 cm.

The area of the clock is 2001 square cm.

A circle is a two-dimensional figure with a radius and circumference of

2πr.

The area of a circle is πr².

We have,

The clock is considered a circle.

Circumference of the clock = 50 cm

2πr = 50 cm

r = 50/2 x 3.14

r = 8 cm

Now,

Diameter of the clock.

= 2r

= 2 x 8

= 16 cm

Now,

The area of the clock.

= πr²

= 3.14 x 8 x 8

= 200.96
= 2001 square cm

Thus,

The radius diameter and area of the clock are 8 cm, 16 cm, and 2001 square cm.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

Answer:

Step-by-step explanation:

Given the following value 44c⁵, 22c³ and 11c⁴, the greatest common factoe of the function is the value that will go in the 3 functions without remainder. To get that, let us first find the factors of each function

44c⁵ = 4*(11*c*c*c)*c*c

22c³ = 2*(11*c*c*c)

11c⁴ = (11*c*c*c)*c

The values that are common to the 3 functions are the values in parenthesis i.e 11 * c * c * c

Since 11 * c * c * c = 11c³

Hence the  greatest common factor of 44c⁵, 22c³ and 11c⁴ is 11c³

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Tasha has 10. 4 yards of lace. She uses 2 yards for a project. Then she cuts the remaining lace into 6 equal pieces.

Each piece of lace will be 1.4 yards long.

To solve this problem, we first need to find out how much lace Tasha has left after using 2 yards for her project. Since she had 10.4 yards of lace and used 2 yards for the project, she will have 8.4 yards left.

Next, we need to divide 8.4 yards by 6, since she is cutting the remaining lace into 6 equal pieces. 8.4 divided by 6 is 1.4, so each piece will be 1.4 yards long.

For more such questions on yards, click on:

https://brainly.com/question/358500

#SPJ11