If the equation is y = 2x^2 + 4x - 6 what is zero #1 (x,y) and zero #2 (x,y)

Answer:

The equation of line is as follows:

Slope-intercept form: \(y = 7x-5\)

Standard Form: \(-7x+y = -5\)

Step-by-step explanation:

Given that

Slope of line: 7

Point : (1,2)

Slope-intercept form of equation of line is given by:

\(y = mx+b\)

Here m is the slope and b is y-intercept.

Putting the value of slope

\(y = 7x+b\)

To find the value of b, we have to put the point in the equation

\(2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5\)

So the equation will be:

\(y=7x-5\)

The standard form of equation of line is:

\(Ax+By = C\)

To convert the equation in standard form, subtracting 7x from both sides

\(y-7x = 7x-5-7x\\-7x+y = -5\)

Hence, the equation of line is as follows:

Slope-intercept form: \(y = 7x-5\)

Standard Form: \(-7x+y = -5\)

The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is  7x - y = 5.

To find the equation of a line in slope-intercept and standard form.

First, we can write the equation in point-slope form. The point-slope formula states:

(y − y₁) = m (x − x₁)

Where m is the slope and

(x1, y1) is a point the line passes through.

Substituting the values from the problem gives:

(y − 2) = 7(x − 1)

Now, we need to convert to standard form.

The standard form of a linear equation is:

Ax + By = C

where, if at all possible,

A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We convert as follows:

y − 2 = (7 × x) − (7 × 1)

y − 2 = 7x − 7

−7x + y − 2  = − 7

Adding 2 in both side.

−7x + y − 2 + 2 = − 7 +2

-7x + y = -5

7x - y = 5

Therefore,  the equation of a line in slope-intercept and standard form is 7x - y = 5.

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Therefore, the MSW for this situation is 11.1.

In analysis of variance, the ANOVA method is employed to determine whether or not there are significant differences between three or more treatment groups in the study of a particular factor. In the case of ANOVA, the null hypothesis is that there is no significant difference between the treatment groups' means, while the alternative hypothesis is that at least one group mean is different from the rest.

In this question, we are given that there are 4 treatments and 10 observations per treatment.

SSW=399.6, and we are to determine the MSW.

The MSW is calculated using the formula:

MSW = SSW / (dfW)

where dfW = (n-1) x k and n is the number of observations per treatment, while k is the number of treatments.

Substituting the given values:

dfW = (10-1) x 4

= 36MSW

= 399.6 / 36

= 11.1

This result suggests that the differences in treatment means may not be significant since the MSW is relatively small. However, additional tests such as post-hoc comparisons or effect sizes should be conducted to provide a more comprehensive analysis of the data.

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Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

The surface area of the given cube is 96 square units, option A is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula to find the surface area of cube is 6s²

Where s is the side length of cube

s=4 from the given cube

Plug in the value of s in surface area formula

surface area = 6(4)²

=6×16

=96 square units

Hence, the surface area of the given cube is 96 square units, option A is correct.

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Answer:

Greater number is 24 and smaller number is 18.

Step-by-step explanation:

According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)

Answer:

\(\huge\boxed{12 \ people}\)

Step-by-step explanation:

By looking at the range of histogram , we come to know that:

People who walked for 0-2 hours = 5

People who walked for 2-4 hours = 17

People who walked for 4-6 hours = 12

People who walked for 6-8 hours = 9

People who walked for 8-10 hours = 3

Answer:

12 people

Step-by-step explanation:

We want to find the number of people between 4 and 6 hours

Reading the chart, the third bar is between 4 and 6 hours

12 people

The integral ∫(\(t^4\) / √(1-\(t^{10\))) dt evaluates to -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C, where C is the constant of integration.

To evaluate the integral ∫(\(t^4\) / √(1-\(t^{10\))) dt, we can make a substitution u = 1 - \(t^{10\). Then, du = -10\(t^9\) dt, and rearranging gives dt = -(1/10\(t^9\)) du. Substituting these into the integral, we have:

∫(\(t^4\)/ √(1-\(t^{10\))) dt = ∫((-\(t^4\) / 10\(t^9\)) / √u) du

= -1/10 ∫(1 / \(t^5\) √u) du

= -1/10 ∫(\(u^{(-1/2)\) / \(t^5\)) du.

Now we can integrate \(u^{(-1/2)\) / \(t^5\) with respect to u:

∫\(u^{(-1/2)\) / \(t^5\)) du = (2√u / (5\(t^5\))) + C,

where C is the constant of integration.

Finally, substituting back u = 1 - \(t^{10\), we have:

∫(\(t^4\) / √(1-\(t^{10\))) dt = -1/10 ((2√(1-\(t^{10\))) / (5\(t^5\))) + C

= -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C.

Therefore, the integral evaluates to -(2 / 50\(t^5\)) √(1-\(t^{10\)) + C.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

\( \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } \)

The acceleration of the object moving at a constant speed in a circular path of radius r at a rate of 1 revolution per second is given by option C, 2π^2r^2.

The object experiences centripetal acceleration towards the center of the circle. Although its speed remains constant, the direction of its velocity continuously changes, resulting in acceleration. The magnitude of centripetal acceleration can be calculated using the formula a = (v^2) / r, where v is the linear velocity and r is the radius of the circular path. In this case, the linear velocity is the circumference of the circle (2πr) divided by the time (1 second), squared, and divided by the radius (r), resulting in 2π^2r^2.

The acceleration of an object moving in a circular path is directed toward the center of the circle and is known as centripetal acceleration. In this scenario, the object moves at a constant speed of 1 revolution per second, which means it completes a full circular path in 1 second. The linear velocity can be calculated by dividing the circumference of the circle (2πr) by the time taken to complete one revolution (1 second). Since the speed is constant, there is no tangential acceleration. However, the object experiences centripetal acceleration due to the continuously changing direction of its velocity. The magnitude of the centripetal acceleration is given by the formula a = (v^2) / r, where v is the linear velocity and r is the radius. Plugging in the values, we get a = ((2πr) / 1)^2 / r = 4π^2r^2 / r = 4π^2r, which corresponds to option D, 4π^2r.

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Complete question :

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:

a. More than 20 minutes? b. For 20 minutes or less

Answer: 0.0764 ; 0.9236

Step-by-step explanation:

Mean (m) = 15 minutes

Standard deviation (sd) = 3.5

Z - score :

Z = (x - m) / sd

A) more than 20 minutes

P(X > 20) ; x = 20

Z > (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z > 1.429) = 0.5 - P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 - 0.4236 = 0.0764

2) 20 minutes or less :

P(X <= 20) ; x = 20

Z < (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z < 1.429) = 0.5 + P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 + 0.4236 = 0.9236

Answer:

26

Step-by-step explanation:

normally this should be way below your math abilities in 9th grade.

but here as a reminder :

dot operations (like multiplication and division) happen before any dash operations (addition, subtraction).

so when we go through here we see therefore

-32/8 and 5×-2 have to be calculated first (I use × instead of ., because a fit can be so easily missed or misunderstood).

and then : mind the "-" signs to actually sign all terms for the final sum.

so, -32/8 = -4

5×-2 = -10

now we have

40 - 4 - 10 = 26

Answer:

13 times?

Step-by-step explanation:

From 5 1/2 to 8 1/2 she needs to add 3 * 4 = 12 times since 1 paint = 4 pint

then she just needs to add 1 more to become 8 3/4

12 + 1 = 13

The order is 0 -> 1/4 -> 1/2 -> 3/4 -> 1

Answer:10.3

Step-by-step explanation:

Answer:

THE ANSWER IS 30 DEGREES

Answer:

30°

lines are parallel so 75° and 2x+15° are congruent angles. Alternate angles.

2x+15=75

Step-by-step explanation:

2x=75-15=60

x=60/2

x=30

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-19.2 = -3.6x + 2.4

Step 2: Solve for x

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

The question is asking about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering.

To answer the question, first, let's understand what fuzzy sets and clustering are. Fuzzy sets are a generalization of classical sets where an element can have a degree of membership ranging between 0 and 1. Clustering, on the other hand, is a technique used to group similar objects together based on their characteristics.

Now, the question specifically mentions the Jaccard index as a basis for similarity measures. The Jaccard index is a measure of similarity between two sets, which is calculated as the ratio of the intersection of the sets to the union of the sets.

To develop new similarity measures for intuitionistic fuzzy sets based on the Jaccard index, you can apply the Jaccard index formula to compare the membership degrees of the elements in the fuzzy sets. The resulting similarity measure will provide a quantitative value indicating the degree of similarity between the sets.

These new similarity measures can then be applied to clustering. In clustering, the similarity measures between objects are used to determine the groupings. By utilizing the Jaccard index-based similarity measures for intuitionistic fuzzy sets, you can cluster objects based on their fuzzy characteristics and similarities.

In summary, the question asks about new similarity measures of intuitionistic fuzzy sets based on the Jaccard index and their application to clustering. To answer this, you can develop similarity measures by applying the Jaccard index formula to the membership degrees of the fuzzy sets and use these measures for clustering objects based on their fuzzy characteristics.

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Answer:

Rate is 8.5%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs8800

Rate(r)=?

Time(t)=3.5 years

Interest=Rs2618

Step 2: Write the formula for calculating Simple interest

\(i = \frac{prt}{100} \)

Step 3: Make r the subject of the equation

\(by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} \)

Step 4: Find the value of r by substituting the values in step 1

\(r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5\)

Hence, the rate is 8.5%

Answer:

Yes

Step-by-step explanation:

Substitute:

Calculate the product or quotient:

Calculate the sum or difference:

Obtain a simplified relation:

Determine true or false: True

Answer: True

Answer:

if my math is correct

Step-by-step explanation:

2501.50

2504.65

The standard deviation formula is derived from the variance formula, which is calculated by finding the sum of the squared deviations of each data point from the mean.

The standard deviation is simply the square root of the variance. This is because the variance is expressed in squared units, and the standard deviation is expressed in the original units of the data.

The equation used in the derivation of standard deviation is the formula for variance, which is given by:

Variance = ∑(x - μ)² / n

Where x is the individual data point, μ is the mean of the data set, and n is the number of data points in the set.

The standard deviation formula is simply the square root of the variance formula. The standard deviation formula is given by:

Standard deviation = √(Variance)

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Answer:

A. Anticlines Is the answer hope it is helpful

Answer:

9/32

Step-by-step explanation:

3/4 of 3/8 is 0.28125 or 9/32

Answer:

Step-by-step explanation:

3/8 (left over - from party) of 3/4 : 3/4 of 3/8 = 9/32

Step-by-step explanation:

percentage of green marbles=

(total green marbles÷ total marbles )×100

Answer:

I believe it is 17 ft.

Step-by-step explanation:

Answer:

f(h(2)) = 3.

Step-by-step explanation:

Replace the x in f(x) by h(2).

h(2) = 3(2) - 5

       = 1,

so, f(h2) = 2(1) + 1

             =   3.

The average of 5 consecutive numbers starting from b is a+4.

Average of 5 numbers starting from a :

Avg = (a+a+1+a+2+a+3+a+4)/5

Avg = a+2

=> b = a+2

Average of 5 numbers starting form b :

Avg = (b+b+1+b+2+b+3+b+4)/5

Avg = b+2

Substituting b = a+2

Avg = (a+2) + 2

Avg = a+4

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Since a phone with one payment plan and one accessory is given away at random, we need to consider only the rows where the payment plan is 1 and the column where the accessory is a headset. Looking at the table, we can see that there is only one phone that meets these conditions, and it is a Brand B phone with a headset. Therefore, the probability that a phone with one payment plan and one accessory is given away at random and is a Brand B phone with a headset is 1/10 or 0.1.

The statement that the sum of any rational number and any irrational number will always be an irrational number is true.

The sum of any rational number and any irrational number will always be an irrational number. To prove this, let's consider a rational number, represented as a/b, where a and b are integers and b is not equal to 0. Additionally, let's consider an irrational number, represented as √2. When we add the rational number a/b and the irrational number √2, the result will be a + (√2)b, which is a combination of a rational number and an irrational number.

Since irrational numbers cannot be expressed as a ratio of two integers, the sum a + (√2)b cannot be simplified to a rational number. Thus, it is an irrational number. Therefore, the statement that the sum of any rational number and any irrational number will always be an irrational number is true.

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