What is the result of adding these two equations? ​ 2x+3y=-5 5x-y=-12

The graph attached represents a cubic function at

x < -2

Cubic functions are a type of polynomial function that has a degree of 3, meaning the highest power of the variable is 3.

The general form of a cubic function is:

f(x) = ax³ + bx² + cx + d

where a, b, c, and d are coefficients and x is the variable

At point x = -2 the graph has an open circle hence -2 would not be part of the equation, this makes x ≤ -2 an incorrect option.

From x < -2 in the graph, represents the graph of a cubic function

Learn more about cubic function at

https://brainly.com/question/30798416

#SPJ1

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

More can be learned about the end behavior of a function at brainly.com/question/1365136

#SPJ1

Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

To learn more about line plot

https://brainly.com/question/16321364

#SPJ8

Answer:

7/10

Step-by-step explanation:

\(1 - \frac{3}{10} \\ = \frac{10}{10} - \frac{3}{10 } \\ = \frac{7}{10} \)

Answer:

b = 9cm is the answer.

Step-by-step explanation:

a = 12cm

b = ?

c = 15cm

By using the Pythagoras theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9cm.

∴ b = 9cm is the length of the missing leg.

The rate of the slower car is 77km/hr

Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.

velocity = displacement/time

displacement = velocity × time

represent the faster car by v1 and the slower car by v2

v1 = v2+16

V2 = v1-16

Total displacement = 680km

680 =( v1+V2)t

680 = (v1+V2)4

v1+v2 = 680/4

v2+16+v2 = 170

2v2 = 170-16

2v2 = 154

v2 = 154/2

v2 = 77km/hr

therefore the rate of the slower car is 77km/hr

learn more about velocity from

https://brainly.com/question/80295

#SPJ1

Answer:

\(y=\frac{x}{2} -5\)

Step-by-step explanation:

Linear functions are those whose graph is a straight line.

A linear function has the following form: \(y=f(x)=a+bx\)

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

The degree of a linear equation must be 0 or 1 for each of its variables.

1. The degree of the variable y is 1 which means it is not linear.

2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.

3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.

4. The degrees of the variable violates the linear equation definition so it is not linear.

Answer: it would be (10 x 30) and (6 x 4) (A)

Step-by-step explanation:

srry if its wrong :(

n = 25

=====================================================

Explanation:

The standard error formula for the mean is

\(\sigma_{M} = \frac{\sigma}{\sqrt{n}}\\\\\)

Since we want this 2.00 or less, this means,

\(\sigma_{M} \le 2.00\\\\\frac{10}{\sqrt{n}} \le 2.00\\\\10 \le 2.00\sqrt{n}\\\\2.00\sqrt{n} \ge 10\\\\\sqrt{n} \ge \frac{10}{2.00}\\\\\sqrt{n} \ge 5\\\\n \ge 5^2\\\\n \ge 25\\\\\)

The sample size needs to be n = 25 or larger.

In other words, the sample size needs to be at least 25.

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

Learn more about function here:

https://brainly.com/question/11624077

#SPJ8

Lee's TV costs $4.05 to operate for a month of 30 days.

To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.

First, let's find out how many watts Lee's TV consumes in a day:

250 watts/hour x 3 hours/day = 750 watts/day

To convert this to kilowatts, we divide by 1000:

750 watts/day ÷ 1000 = 0.75 kilowatts/day

Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:

0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours

Finally, we can calculate the cost of operating the TV for a month:

22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

Answer:

  1 solution

Step-by-step explanation:

Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...

  -3x -3 +3x = -3x +3 +3

We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.

__

In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

__

Additional comment

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

Answer:

there is only one solution

Step-by-step explanation:

The common ratio of the decreasing value of the car is 2/3

The asset value of the car be in 3 years is $5,333

What fraction of the asset value is remaining after losing 1/3?

The fraction of asset value left after having lost 1/3 of its original value is 2/3, which is determined 1 minus 1/3 , note 1 represents 100% of asset initial value, hence, the common ratio of decreasing value is 2/3.

The asset value in any of the years can be determined as the original value multiplied 2/3 raised to the power of the year considered

asset value=original value*(2/3)^t

t=3(year 3)

asset value after 3 years=$18,000*(2/3)^3

asset value after 3 years=$5,333

Find out  more about asset decreasing value on:https://brainly.com/question/21015938

#SPJ1

Answer:

0.9538

Step-by-step explanation:

The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:

Here the R^2 coefficient of determination, would be determined and applied the same

R^2 = 1 - SSE ÷ SST

= 1 - 123.97 ÷ 2685.9

= 0.9538

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

\(\mathbf{g(x) = \sum \limits^{\infty}_{n=0} (-1 + (\dfrac{-1}{6})^n)x^n }\)

and the interval of the convergence is (-1, 1)

Step-by-step explanation:

To find a power series for the function, centered at c.

\(g(x) = \dfrac{7x}{x^2 +5x-6} ,\ c = 0\)

If we factorize the denominator, we have:

\(g(x) = \dfrac{7x}{(x +6)(x-1)}\)

\(g(x)= \dfrac{1}{x-1}+\dfrac{6}{x+6}\)

Thus;

\(g(x)= \dfrac{-1}{1-x}+\dfrac{1}{1+\dfrac{x}{6}}\)

\(g(x)= \dfrac{-1}{1-x}+\dfrac{1}{1-(-\dfrac{x}{6})}\)

\(g(x) = - \sum \limits^{\infty}_{n=0} x^n + \sum \limits^{\infty}_{n=0} x^n(\dfrac{-x}{6})^n \ \ if \ \ |x| < 1 \ \ and \ \ |\dfrac{x}{6}< 1\)

\(g(x) = \sum \limits^{\infty}_{n=0} (-1 + (\dfrac{-1}{6})^n)x^n , \ if |x|<1\)

\(\mathbf{g(x) = \sum \limits^{\infty}_{n=0} (-1 + (\dfrac{-1}{6})^n)x^n }\)

and the interval of the convergence is (-1, 1)

Answer:

2,206

Step-by-step explanation:

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

Learn more about numbers at brainly.com/question/17200227

#SPJ1

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

Answer:

\(y = \frac{9x^2}{2} + c\)

Step-by-step explanation:

Given

\(\int\limits^ _\)\((x + 8x) dx\)

Required

(a) Integrate

(b) Check using differentiation

To integrate, we make use of the following formula;

if

\(\frac{dy}{dx} = \int\limits^{} _{} ax^n\)

then

\(y = \frac{ax^{n+1}}{n+1}\)

So; \(\int\limits^ _\)\((x + 8x) dx\) becomes

\(y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c\)

\(y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c\)

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

Take LCM

\(y = \frac{x^{2} + 8x^2}{2} + c\)

\(y = \frac{9x^2}{2} + c\)

To check using differentiation, we make use of

if \(y = ax^n\), then

\(\frac{dy}{dx} = nax^{n-1}\)

Using this formula

\(y = \frac{9x^2}{2} + c\) becomes

\(\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}\)

\(\frac{dy}{dx} = 2 * \frac{9x}{2}\)

\(\frac{dy}{dx} =9x\)

\(9x = x + 8x\)

So;

\(\frac{dy}{dx} = x + 8x\)

Answer:

second table: 19

third table : 190

Step-by-step explanation:

abe gandu apne kam par dhyan de na chutya

Answer:

Step-by-step explanation:

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

\(E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }\)

\(n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2\)

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, \(Z_\frac{\alpha }{2}\) is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, \(Z_\frac{\alpha }{2}\) = 3. Hence:

\(n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900\)

Answer:

The drug have effect on lowering the cholesterol.

Step-by-step explanation:

H₀ : μ₁ - μ₂ = 0

⇒ H₀ : μ₁ =  μ₂

H₁ : μ₁ - μ₂ < 0

⇒H₁ : μ₁ <  μ₂

Now,

given , n₁ = 23 , n₂ = 23

∴ Degree of freedom = v = n₁ + n₂ - 2

                                         = 23 + 23 - 2 = 44

⇒v = 44

Now,

Given, level of significance = 5% = 0.05

For the given significance level, critical time t = 1.68

As

Decision rule states that'if t < 1.68 , reject H₀

Now,

For Drug:

mean = m₁ = 195

SD = d₁ = 35

People = n₁ = 23

For placebo :

mean = m₂ = 245

SD = d₂ = 31

People = n₂ = 23

Now,

Variance = \(\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}\)  = 1093

Standard Deviation, S = 33.06

Point estimate = m₁ - m₂ = 195 - 245 = -50

Standard deviation error = S×(\(\frac{1}{n_{1} } + \frac{1}{n_{2} }\) ) = 9.75

Now,

Test statistics = \(-\frac{50}{\sqrt{9.75} } = -5.13\)

⇒ t < 6.13

⇒Reject H₀

⇒The drug have effect on lowering the cholesterol.

An algebraic expression to show representatives r, the students will have in any year is r=(a+b+c+d+e)/50.

An expression is combination of variables, numbers and operators.

Given, that school district can send a representative to the state spelling bee for every 50 students in the school district that year.

There are 5 schools woth a b c d e students respectively.

We need to find the algebraic expression to show how many representatives r, the students will have in any year.

r=(a+b+c+d+e)/50

THe above expression is used to represent the representives.

Hence, (a+b+c+d+e)/50 is an algebraic expression to show representatives r, the students will have in any year

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:

use this info to help answer it

Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.