8
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f(x) = -x² + x + 6
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The point slope of the the line using the point (3,2) and slope 5 is (y-2)=5(x-3).

Given that A line intersects the points (3, 2) and (5, 12)  and asked to write an equation of line passing through (3,2) and having slope as 5.

Point slope form:

The point-slope form of a stright line is y-y1=m(x-x1)

Here (x1,y1) is the fixed point with which the line passes and m is the slope of the line

Here, (x1,y1)  is given as (3,2) and m(slope)=5

The equation straight line in point-slope form is (y-2)=5(x-3).

Therefore,The point-slope form of the the line using the point (3,2) and slope 5 is (y-2)=5(x-3).

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Step-by-step explanation:

the slope-intercept form :

y = ax + b

"a" being the slope, "b" being the y-intercept (the y value when x = 0).

but we have the slope and a point.

so, we can start with the point-slope form and then transform it :

y - y1 = a(x - x1)

"a" is again the slope, (x1, y1) is the given point.

so, we have

y - 3 = 4(x - -4) = 4(x + 4) = 4x + 16

y = 4x + 19

and that's it.

Answer:

63

Step-by-step explanation:

area=length×width so 9×7=63

In the given situation n gives us the number of weeks. after 3 weeks, Jonie and Marco each owed their fathers the same amount.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

We have been given that Marco owed his father in dollars at the end of n weeks can be represented by f(n) = 210 − 20n. and Joni owed her father in dollars at the end of n weeks can be represented by g(n) = 180 − 10n.

Also we get f(n) = g(n)

210 − 20n = 180 − 10n

Now n gives us the number of weeks thus solve for n

210 − 20n = 180 − 10n

210 - 180 = -10n + 20n

30 = 10n

n = 3

Now check your solution;

f(n) = 210 − 20n = 210 - 60 = 250

g(n) = 180 − 10n = 180 - 30 = 150

So our answer checks out after 3 weeks, Jonie and Marco each owed their fathers the same amount.

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Answer: 3/72 is your answer.

So the change of rate of x is -1/3 .

The Derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Given that object is decreasing at constant rate of 2 units per second so we have [tex]y = 2x^2 + 1[/tex]

[tex]\frac{dy}{dt} = 4x \frac{dx}{dt}[/tex]

given dy/dt = -2

when x = 3/2

-2 = 4(3/2) dx/dt

-2 = 6 dx/dt

dx/dt = -2/6

         = -1/3

Hence the change of rate of x is -1/3 .

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Total 790 number of handshakes occur within the group.

According to the given question.

Total number of people = 50

Number of people who know each other = 30

Number of people who know no one = 20

Since, 20 people doesn't knw each any one, so they will shake hands.

So, the total number of hand shakes by these 20 people

= 20(20 -1)/2

= 10(19)

= 190

Also, we have to consider  that other 30 people will also shake hands with these 20 people.

So, the total number of hanshakes by these 30 and 20 people = 30 × 20 = 600

Therefore, the total number of handshakes occur within the group

= 600 + 190

= 790

Hence, total 790 number of handshakes occur within the group.

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This could be wrong, but I think your answer is [tex]x=-2x^3+\frac{900^{\circ \:}x-360^{\circ \:}}{9}[/tex]

---------------------------------------

Hope this helps!

Have a great day and God bless! :)

Answer:

w is -4

Step-by-step explanation:

W is -4 because a positive number times a negative number is always a negative that is why the answer is a negative and 6 times 4 is 24 but for the 24 to be a negative the 4 has to be a negative 4.

The response to this question is that p has a value of 8, or the cube root of 8. i.e. p=∛8.

An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots. When we multiply a factor three times to obtain a number, we have obtained the cube root of that factor. Three cube root of, ending cubic root is the sign for the cube root. In contrast to cubing an integer, finding its cube root is a mathematical operation.

According to the equation, p³=8

We can clearly see that the power of p is 3.

Now by taking cube root on both the sides, we can see that the value of p is

∛p³=∛8

⇒p=∛8        

The value of p in the equation cube root of 8.

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Answer: B

Step-by-step explanation: you see how its by the 2 that means that its going to be where the 3 is

Answer:

4,545.45 crates

Step-by-step explanation:

.11x = 500

Divide both sides by .11

x = 4,545.45

The number of crates she picked algebraically is 4545.

Let us consider the variable "c" to represent the number of crates Brianna picked.

We know that she receives 11 cents per crate.

1 crate = $0.11 (11 cents)

Her total earnings from picking "c" crates can be expressed as:

Earnings = 0.11c

Now, we know her total piecework earnings for last week were $500. So, we can set up an equation:

Total Earnings = $500

0.11c = $500

To find the number of crates Brianna picked, we need to solve for "c":

c = $500 / 0.11

c = 4545.45...

c = 4545 crates

So, algebraically, Brianna picked approximately 4545 crates last week.

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Answer:

Step-by-step explanation:

What must be added to 3x + y to get 2x + 3y?

3x + y + z = 2x + 3y

3x + z = 2x + 3y - y

3x + z = 2x + 2y

z = 2x-3x+2y

z = -x+2y

-------------------

check

3x + y + (-x) +2y =

2x + 3y

the answer is good

Answer:

270

Step-by-step explanation:

The area is the same as the original area multiplied by the square of the scale factor.

Answer:

52x + 29.

Step-by-step explanation:

d = 7x + 11 - (2x + 9)

= 5x + 2.

11th term

= 2x + 9 + (11-1)(5x + 2)

= 2x + 9 + 50x + 20

= 52x + 29.

A researcher can make generalizations about a population by utilizing inferential statistics, which is a benefit.

Two purposes dominate the use of inferential statistics: estimating population numbers (for example, the mean SAT score of all 11th graders in the US). testing hypotheses to make population-level judgments (for example, the relationship between SAT scores and family income).

Inferential statistics that are helpful in the design of experimental and quasi-experimental studies or in the assessment of program outcomes.

When comparing the average performance of two groups on a single measure to check if there is a difference, one of the simplest inferential tests may be performed. You might be interested in learning whether math test results between eighth-grade boys and girls differ or if a program group differs from a control group in terms of the outcome measure.

The t-test for differences between groups should always be taken into consideration when comparing the average performance of two groups.

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The diagram depicting the construction of copying a line segment indicates that AB = CD = 6.7 cm.

A line segment, which can be expressed as a segment of a line, has definite length. It is a line drawn that has two endpoints.

A line segment can be named by the capital letters placed at the endpoints.

Copying a line segment, therefore gives a segment of equal length as the original line segment.

Given that the length of AB = 6.7 cm, and the line segment, CD, is obtained by copying segment AB, we have;

Length of CD = Length of AB = 6.7 cm

Therefore;

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Step-by-step explanation:

2 3 4 6...................

Answer:  110 grams of the 99% cocoa, and 90 grams of the 70% cocoa.

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

Work Shown:

x = amount of the 99% cocoa

200-x = amount of the 70% cocoa

0.99x = amount of pure coca from the first batch

0.70(200-x) = amount of pure cocoa from the second batch

0.99x+0.70(200-x) = total amount of pure cocoa

0.99x+0.70(200-x) = 200*0.86

0.99x+0.70*200-0.70x = 200*0.86

0.99x+140-0.70x = 172

0.29x+140 = 172

0.29x = 172-140

0.29x = 32

x = 32/0.29

x = 110.344827586207

x = 110

200-x = 200 - 110 = 90

Lyle needs 110 grams of the 99% cocoa, and 90 grams of the 70% cocoa.

Both of these values are approximate.

Answer:

The empty set

Step-by-step explanation:

The square of a real number is non-negative, and thus the left hand side is always positive.

Answer:

[14 -4 8]

Step-by-step explanation:

[4+10 -6+2 8+0]

[14 -4 8]

Answer: 39.5 cm long

Step-by-step explanation: The equation can also be written s 72=2x+7, (x= length of short piece) (x+7+length of long piece.):

72=2x+7

72-7=2x

65=2x

x=32.5

Then to find out the long piece:

x+7

32.5+7=39.5

Answer:

4 miles east and 3 miles north (4, 3)

Answer:

for part c

JM=36

AD=12

36=3

JKLM is 3x bigger than polygon ABCD

In the given statement is:

In simple linear regression the estimated slope from the regression of y on x is the same as the estimated slope in the regression of x on y.

If Y depends on X then the regression line is Y on X.

Y is dependent variable and X is independent variable. If X depends on Y, then regression line is X on Y and X is dependent variable and Y is independent variable. The regression equation Y on X is Y = a + bx, is used to estimate value of Y when X is known.

What is Simple linear regression?

Simple linear regression is a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line. Both variables should be quantitative.

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The Percent Change in the number of cupcakes is 60%

The given parameters are:

Initial number of cupcakes = 70

Final number of cupcakes = 112

The Percent Change in the number of cupcakes:

Percent = (Final number of cupcakes - Initial number of cupcakes)/Initial number of cupcakes  * 100%

This gives

Percent = (112 - 70)/70 * 100%

Evaluate the quotient

So, we have

Percent = 0.6 * 100%

Evaluate the product

So, we have

Percent = 60%

Hence, the Percent Change in the number of cupcakes is 60%

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