if the equation mx²+5x+2=0 and 3x²+10x+n =0 have a common root, find the value of m and n​

Answer: y - 4 = 2 (x + 1)

Step-by-step explanation:

There are in four general forms of equations:

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

Equation in standard form with an x-intercept of 4 and a y-intercept of 5 is y = -5/4(x) + 5.

Given:

x - intercept = 4

y - intercept = 5

At x intercept y = 0 and at y intercept x = 0

(4,0) and (0,5)

slope = 5-0/0-4

= 5/-4

m = -5/4

substitute (4,0) and m value,

y = mx+c

0 = -5/4*4 +c

0 = -5 + c

c = 5

y = mx + c

y = -5/4(x) + 5.

Therefore equation in standard form with an x-intercept of 4 and a y-intercept of 5 is y = -5/4(x) + 5.

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Answer:

$390,000

Explanation

To do this, we will use the compound interest formula;

A = P(1+r)^t

P = 275000

rate r = 6%

Time t = 30years

Substitute

A = 275000(1+0.06)^30

A = 275000(1.06)^30

A = 275000(5.7435)

A = 1,579,460.07

For the rate of 5%

A = 275000(1+0.05)^30

A = 275000(1.05)^30

A = 275000(4.3219)

A = 1,188,534.15

Takeing their difference;

Difference = 1,579,460.07-1,188,534.15

Difference =390,925.92

Hence the approximate difference in his ending balance of the actual rate is 5% instead of six ​is about $390,000

Answer:

The answer is 1 9/19

Step-by-step explanation:

Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Answer:

the last one is correct

Step-by-step explanation:

because 3000/12 = 250 and 3500/14 = 250 so they are porportional.

Answer:

pain in the a§§......................

Answer:

x=7/10

Step-by-step explanation:

Because this is a square, we know that all of the sides are equal.

Thus, we know that 6x-1=4x+6.

We can further use Algebra and subtract by 4x on both sides.

Now, we have 10x-1=6.

Then, we can add 1 to both sides, and get 10x=7.

Lastly, let's divide both sides by 10 to isolate x, getting x=7/10, or x=0.7

The general form of the equation for the given circle centered at O(0, 0) is x² +y² - 41=0.

The correct option is (B).

The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

as, general equation for a circle is ( x - h )² + ( y - k )² = r²

Here,  centered at O(0, 0).

So,

a =0 and b = 0

now, r² = (BO)²

r² = (4-0)² +(5-0)²

r²  = 16+25

r² = 41

Hence, Center at the origin passing through B(4, 5) is x² +y² = 41.

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Answer:

the answer should be 5

Step-by-step explanation:

Remove parentheses.

3(3x-8)-5(3x-8)=4x-16-6(x-2)3(3x−8)−5(3x−8)=4x−16−6(x−2)

2 Simplify  3(3x-8)-5(3x-8)3(3x−8)−5(3x−8)  to  -2(3x-8)−2(3x−8).

-2(3x-8)=4x-16-6(x-2)−2(3x−8)=4x−16−6(x−2)

3 Expand.

-6x+16=4x-16-6x+12−6x+16=4x−16−6x+12

4 Simplify  4x-16-6x+124x−16−6x+12  to  -2x-4−2x−4.

-6x+16=-2x-4−6x+16=−2x−4

5 Add 6x6x to both sides.

16=-2x-4+6x16=−2x−4+6x

6 Simplify  -2x-4+6x−2x−4+6x  to  4x-44x−4.

16=4x-416=4x−4

7 Add 44 to both sides.

16+4=4x16+4=4x

8 Simplify  16+416+4  to  2020.

20=4x20=4x

9 Divide both sides by 44.

\frac{20}{4}=x

​4

​

​20

​​ =x

10 Simplify  \frac{20}{4}

​4

​

​20

​​   to  55.

5=x5=x

11 Switch sides.

x=5x=5

Answer:

16 (: That is what i think...

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Using the formula for velocity of money:

Velocity of money = (Price level x Real output) / Money supply

Plugging in the given values, we get:

Velocity of money = (120 x 300 billion) / 6 trillion

Velocity of money = 6

Therefore, the velocity of money is 6.

App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.

The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.

To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.

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Answer:

original price of a cd is 12.50. what is the price with a discount of 39%

Step-by-step explanation:

Answer:118.6

Step-by-step explanation:

Answer:

  118.6°

Step-by-step explanation:

You want the value of the obtuse angle marked x in the triangle with sides 20, 23, and 37.

In the given triangle, the relevant formulation of the law of cosines is ...

  b² = a² +c² -2ac·cos(B)

Solving for angle B, we get ...

  B = arccos((a² +c² -b²)/(2ac))

  B = arccos((20² +23² -37²)/(2·20·23)) ≈ 118.6°

The value of x is about 118.6°.

Answer:

$2837.04

Step-by-step explanation:

semi-annually = every 6 month

p=2000

i=6%

t=3 years = 6 periods

compound 6 times in 3years = (1+6%)^6 =1.418519

multiply principal of $2000 = 2837.04

bobby is hanging a cabinet, the cabinet is 3.5 feet wide and 2 feet tall, if he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, The end of the cabinet will be 1.375 feet away from the edge of the wall.

Bobby is hanging a cabinet. The cabinet is 3.5 feet wide and 2 feet tall. If he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, how far will the end of the cabinet be from the edge of the wall? Bobby is hanging a cabinet that is 3.5 feet wide and 2 feet tall.

If he wants to center the cabinet horizontally on a wall that is 6.25 feet wide, how far will the end of the cabinet be from the edge of the wall?A cabinet is 3.5 feet wide and needs to be centered horizontally on a wall that is 6.25 feet wide. Therefore, the space remaining on the wall is: 6.25 ft - 3.5 ft = 2.75 ft.

So, the amount of space remaining on either side of the cabinet is 2.75 ft / 2 = 1.375 ft.The end of the cabinet will be 1.375 feet away from the edge of the wall.

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The range is 31

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

This statement is True. In the null hypothesis will be rejected in favor of the alternative hypothesis only if sample evidence suggests that h0.

A hypothesis is an assumption, an idea that is proposed for the sake of controversy so that it may be examined to look if it might be true. in the clinical approach, the hypothesis is built earlier than any relevant research has been completed, other than a primary history review. Hypotheses recommend a dating between or extra variables. An impartial variable is something the researcher adjusts or controls. A based variable is something the researcher observes and measures.

For a hypothesis to be a systematic speculation, the scientific technique requires that you can still check it. Scientists typically base medical hypotheses on preceding observations that can not satisfactorily be defined with the to-be-had scientific theories. despite the fact that the phrases "speculation" and "concept" are often used interchangeably, a scientific hypothesis isn't always similar to a systematic idea. An operating hypothesis is a provisionally standard speculation proposed for further research in a technique beginning with an educated bet or idea.

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The value of X for which the figure is a kite can be determined by examining the relationships between the side lengths and the variable X,

In order to determine the value of X for which the figure becomes a kite, we need to consider the properties of a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.

This means that in a kite, two sides have the same length and the other two sides also have the same length, but the two pairs of sides do not necessarily have equal lengths.

Now, let's assume that the sides of the given figure are represented by the variables A, B, C, and D, and the variable X is somehow involved in defining these side lengths. To make this figure a kite, we need to find the value of X that will satisfy the condition of having two pairs of equal adjacent sides.

To determine the specific value of X, we would need to examine the equations or relationships involving the side lengths A, B, C, and D and the variable X. Once we have these relationships, we can solve for X such that A = B and C = D or A = C and B = D, which would ensure the figure is a kite.

In summary, the value of X for which the figure is a kite can be determined by examining the relationships between the side lengths and the variable X, and solving for the conditions required for the figure to have two pairs of equal adjacent sides.

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Answer:

A

Step-by-step explanation:

how I solved it was 4x3=12

Answer:

A.

Step-by-step explanation:

That is  1/4 * 1/3 = 1/12,

1. The value of x is 179.

2. The value of angle A is 22 degrees.

1. In a hexagon, the sum of all interior angles is equal to 720 degrees. We are given the measurements of four interior angles: 92, 100, 94, and 140 degrees. Let's calculate the sum of these four angles:

Sum of the four given angles = 92 + 100 + 94 + 140 = 426 degrees

To find the remaining two angles, we subtract the sum of the four given angles from the sum of all interior angles:

Sum of remaining two angles = 720 - 426 = 294 degrees

Since the two remaining angles are equal in measure, we divide the sum by 2 to find the measure of each angle:

Measure of each remaining angle = 294 / 2 = 147 degrees

We are given that each remaining angle measures (x - 32) degrees, so we can set up the equation:

x - 32 = 147

Solving for x:

x = 147 + 32 = 179

Therefore, the value of x is 179.

2. In right triangle ABC, we are given that cos(3x + 30) = sin(12x), and angle A is represented as (3x + 10). We need to find the value of angle A.

Since cosine is equal to the sine of the complementary angle, we can write:

cos(3x + 30) = cos(90 - 12x)

By comparing the angles inside the parentheses, we set up the equation:

3x + 30 = 90 - 12x

Solving for x:

15x = 60

x = 4

Now that we have the value of x, we can find the measure of angle A:

Angle A = 3x + 10 = 3(4) + 10 = 22

Therefore, the value of angle A is 22 degrees.

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5(a-b) if a=-4 and b=-2

5(-4--2)

5(-4+2)

5(-2)

-10

Answer: -10

Answer:

The expression equals -10.

Step-by-step explanation:

First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.

Answer:

-22

Step-by-step explanation:

Step 1: Subtract 20 from -2

Therefore, the answer is -22.

Answer:

50.26548246 or 50.3 mm^2 (rounded to the tenth)

Step-by-step explanation:

\(\pi 8^{2} = 201.0619298\)

just divide that # by 4 and you get the answer! Hope this helps!

Answer:

C

Step-by-step explanation:

Hey, so i know you might not need help now, but i got the answer right on mine and it was C.

Hope this helps!

Answer:

Answer B. 4

Step-by-step explanation:

Equations

Solve the equation:

5x - 2( 2x - 1 ) = 6

Operate the parentheses:

5x - 4x + 2 = 6

Collect like terms:

x + 2 = 6

Subtract 2:

x = 6 - 2

x = 4

The value of x is 4

Answer B. 4

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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