is m=-3 the solution to m+1=-2m-8

Answer:

for the single roots -1 & 2, the graph CROSSES the x-axis at the intercepts

for the double root 3, the graph TOUCHES the x-axis at the intercepts

Step-by-step explanation: took it on edge

Answer:

Crosses EDG 2021

Step-by-step explanation:

Answer:

y interpret is 60

slope 60/4=20x

hope this helps

have a good day :)

Step-by-step explanation:

Knowing whether the mean is more than or less than the median can give us information about the skewness of a distribution because the mean and median represent different aspects of the distribution's central tendency.

In a positively skewed distribution, the tail of the distribution extends towards higher values, meaning there are some extreme high values that pull the mean towards the right. In this case, the mean is greater than the median because it is influenced by those high values, shifting the central tendency towards the right.

On the other hand, in a negatively skewed distribution, the tail of the distribution extends towards lower values, indicating the presence of extreme low values that pull the mean towards the left. As a result, the mean is lower than the median because the central tendency is shifted towards the left by those low values.

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The required number of multiplications using a single composite transformation matrix for k transformations of n points is n × k.

In computer graphics, composite transformation matrices are used to transform points and shapes. These matrices are created by combining multiple transformations into a single matrix, allowing for efficient processing of large amounts of data. The number of multiplications required to perform a composite transformation depends on the number of points being transformed and the number of transformations being applied.

If there are n points and k transformations, then the required number of multiplications is n × k.

This is because each point needs to be multiplied by the composite transformation matrix k times.

Therefore, the total number of multiplications is n × k.

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Answer:

Slope of parallel line: -7/6

Slope of perpendicular line: 6/7

Step-by-step explanation:

7x + 6y = 5

6y = -7x + 5

y= -7/6x + 5/6

Answer:

-2xy-4

Step-by-step explanation:

Hope this helps. Plz give brainliest

Answer:

A+last one B=second one

Step-by-step explanation:

Answer:

a) 6× + 54

= 6•x +6•9

= 6(x + 9)

b) 9 + 13y - 3 - y = 12y + 6

Answer:

9 and 10

Step-by-step explanation:

x = 1st positive integer

x+1 = 2nd positive integer

(x+1) is the next positive integer after x (Ex. 3 aka 2+1 is next integer after 2).

Larger Integer: x+1  ==> being squared

Smaller Integer: x ==> being multipled by 9

9x + 19 = (x+1)^2  ==> the square of (x+1) is 19 more that 9 multiplied by x.

9x + 19 = (x+1)(x+1)  ==> simplify

9x + 19 = x(x+1) + 1(x+1)   ==> distribute (x+1) to x and 1.

9x + 19 = (x*x + 1*x) + (1*x + 1*1)  

9x + 19 = x^2 + x + x + 1  ==> simplify

9x + 19 = x^2 + 2x + 1

19 = x^2 - 7x + 1  ==> subtract 9x on both sides

Make one side of the equation equal to 0 so you can factor the equation:

0 = x^2 - 7x - 18  ==> subtract both sides by 19

0 = x^2 + 2x - 9x - 18  ==> 2x - 9x = -7x and 2 * (-9) = -18

0 = x*x + 2x - 9x - 18  

0 = x(x + 2) - 9(x + 2)  ==> factor

0 = (x - 9)(x + 2)

x - 9 = 0         x + 2 = 0

x = 9                     x = -2

Out of x = 9 and x = -2, only x = 9 is positive.

Hence, x = 9 and x+1=10.

Hence, the answers are 9 and 10.

Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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The equation of the circle x^2 + y^2 = 2 has a radius of √2 and a center located at (0 , 0).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, x^2 + y^2 = 2, is in standard form, then

h = 0

k = 0

r = √2

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Answer:

how do i make you brainlist

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.

Given that the line passes through (-1, 2), the equation of the line is x= -1.

Parallel lines have the same slope and will never meet.

Answer:

x = 16

Step-by-step explanation:

Since for the parallelogram to be a rectangle, all the angles must be the same, the given angles are congruent.

So, simply set the values equal and solve:

4x - 6 = 3x + 10

x - 6 = 10

x = 16

Answer:

\(3 \sqrt{2} \)

Step-by-step explanation:

\( \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.

Hope this helps ;) ❤❤❤

Answer:

\(\boxed{\sf 3\sqrt{2}}\)

Step-by-step explanation:

\(\displaystyle \frac{6}{\sqrt{2} }\)

\(\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}\)

\(\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\)

\(\displaystyle \frac{6\sqrt{2} }{2 }\)

\(\sf Simplify\)

\(3\sqrt{2}\)

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

Answer: £120

Step-by-step explanation:

If the price was increased by 20% to £144, that means that 120% of the original price is £144. Therefore, I set up the following equation:

1.2x=144

So, just divide both sides by 1.2 to get:

x=120.

Answer:

1/6 or 0.16...

Step-by-step explanation:

The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.

Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.

To paint a 2200 square unit space, 5.5 cans are required.

The given parameter is:

Cans: Area\(=1:400\)

Express as fraction

Cans/Area\(=1/400\)

Multiply both sides by Area

Cans\(=\frac{1}{400}*Area\)

When the area is 2200, we have:

Cans\(=\frac{1}{400}*2200\)

Cans\(=5.5\)

5.5 cans are therefore required to paint a 2200 units square space.

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The third graph represents -3x - y = -1 for the domain D: {2, 1, 0, –1, –2}. The solution has been obtained by graphing the equation.

What is graphing of equation?

The method of graphing an equation involves creating the graph of an appropriate equation. If the line represents the equation, then every point along it will satisfy it.

We are given that -3x - y = -1.

Also, we are given the domain as D: {2, 1, 0, –1, –2}

This represents that the domain values are to be used for finding the ordered pairs.

So, putting x=2, we get,

⇒-3(2) - y = -1

⇒-6 - y = -1

⇒y= -5

Similarly, putting x=1, we get,

⇒-3(1) - y = -1

⇒-3 - y = -1

⇒y= -2

Similarly, putting x=0, we get,

⇒-3(0) - y = -1

⇒0 - y = -1

⇒y= 1

Similarly, putting x=-1, we get,

⇒-3(-1) - y = -1

⇒3 - y = -1

⇒y= 4

Similarly, putting x=-2, we get,

⇒-3(-2) - y = -1

⇒6 - y = -1

⇒y= 5

Hence, the third graph represents -3x - y = -1 for the domain D: {2, 1, 0, –1, –2}.

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The given statement "statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results" is true.

Since, descriptive statistics consists of organinsing and summarizing informtaion collected, while inferential statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.

Inferential statitistics is concerned with making inferences about a population of measurements based on information conatined in a sample of those measurements.

Hence, the given statement "statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results" is true.

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Answer:

35 milligrams

Step-by-step explanation:

To get from 12 ounces to 3 ounces, you need to divide by 4.

Do the same with 140 milligrams and you get 140/4=35 milligrams.

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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If there are twice as many less ten dimes as quarters and the total value of the jar is $30.95, the number of quarters is 71

The coins of the American dollar are the quarter, dime, nickel, and penny. The value of a quarter is 25 cents (25% of a dollar), that of a dime is 10 cents (10% of a dollar), that of a nickel is 5 cents (5% of a dollar), and that of a penny is 1 cent (1% of a dollar).

Pennies are made of zinc today, but they were once also made of copper and iron. Nickel and copper combine to form nickels. While silver was once used to make dime, they are now made of copper and nickel. Nickel and copper are also used to make quarters.

Let the no. quarters be Q

And no. dimes be D

There are twice as many less ten dimes as quarters, which gives us

D = 2Q - 10

We know 25Q + 10D = 3095 cents

Substituting the value of Q we get

⇒ 25Q + 10(2Q - 10) = 3095

⇒ 25Q + 20Q - 100  = 3095

⇒ 45Q = 3095 + 100

⇒ 45Q = 3195

⇒ Q = 3195/45

⇒ Q = 71

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The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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The two tables are:

1) x      y

-4    6

1     1

1     -7

2     -7

2      2

2) x          y

-7         4

1           6

2          0

4           2

6           -1

To do so, just define a table with two columns. in the first column we will place the first value of each ordered point, and right next to it, in the second column, the other value.

Then for the relation: {(-4,6),(1,1),(1,-7),(2,-7),(2,2)\}

The table is:

x      y

-4    6

1     1

1     -7

2     -7

2      2

And for the relation {(-7,4),(1,6),(2,0),(4,2),(6,-1)\}

The table is:

x          y

-7         4

1           6

2          0

4           2

6           -1

These are the two tables for the given relations.

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At a significance level of 5%, with a sample size of 800 items produced on a new machine and 48 of them being defective, the null hypothesis is that the proportion of defective items is not significantly more than 5%, while the alternative hypothesis is that it is significantly more than 5%. The level of significance is 0.05. Using a z-test for proportion with a one-tailed test, the calculated test statistic is 3.45. Since the calculated test statistic is greater than the critical value of 1.645, we reject the null hypothesis. Therefore, there is enough evidence to get rid of the machine.

Null Hypothesis: p = 0.05

Alternative Hypothesis: p > 0.05

Level of Significance: α = 0.05

Sample Size: n = 800

Number of Defective Items: x = 48

Sample Proportion:P= x/n = 48/800 = 0.06

Since the sample size is large, we can use the normal distribution to approximate the binomial distribution.

Test Statistic: z = (P - p) / sqrt(p * (1 - p) / n)

Under the null hypothesis, the test statistic follows a standard normal distribution.

Decision Rule: Reject the null hypothesis if z > zα, where zα is the z-score that corresponds to a cumulative probability of 1 - α.

From the standard normal distribution table, we have:

zα = 1.645

Computation:

z = (0.06 - 0.05) / sqrt(0.05 * 0.95 / 800) = 1.33

Since z (1.33) is less than zα (1.645), we fail to reject the null hypothesis.

Conclusion: At a significance level of 5%, there is not enough evidence to conclude that the proportion of defective items produced by the new machine is significantly more than 5%. Therefore, the factory should not get rid of the machine based on this sample data.

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Answer: C

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

hope it helps

The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.

In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."

The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.

The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."

The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.

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Answer:

Step-by-step explanation:

Based on the given information, we can infer the following preferences of Ances regarding her basketball team's scores:

Ances likes when her team scores 341 points.

Ances does not like when her team scores 342 points.

Ances likes when her team scores 26 points.

Ances does not like when her team scores 34 points.

Ances likes when her team scores 53 points.

Ances does not like when her team scores 42 points.

These preferences suggest that Ances has specific preferences for certain scores and dislikes other scores. It could be based on personal associations, superstitions, or simply personal preference.

It's important to note that these preferences are subjective and may not have any rational or logical basis. They are specific to Ances' personal preferences and may not reflect the overall performance or significance of the scores in a basketball game.

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The correct answer is (D) AB is 4 x 4, BA is 2 x 2.

What is order of a matrix?

The order of a matrix refers to the number of rows and columns in the matrix. If a matrix has m rows and n columns, we say that it is an m x n matrix. The order of the matrix is written as "m x n".

In general, if A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix and the product BA is an n x n matrix.

In this case, A is a 4 x 2 matrix and B is a 2 x 4 matrix. Therefore, the product AB is a 4 x 4 matrix, and the product BA is a 2 x 2 matrix.

So the answer is (D) AB is 4 x 4, BA is 2 x 2.

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