The following data are an example of what type of regression?
x
1
2
3
4
5
6
O A. Exponential
OB. Quadratic
O C. Linear
OD. None of the above
y
10,960
10,808
10,904
11,286
11,876
12,553

you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.

3x+2y=4

-3x -3x

2y=-3x+4

/2 /2

y= -3/2x+2

the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.

in this equation the slope is -3/2 and the y intercept is (0,2).

The angles EFG and GFH are 71 and 109 degrees

The given parameters are:

EFG =2n + 25

GFH = 4n + 17

Linear pair angles are supplementary angles

So,we have

2n + 25 +4n + 17 = 180

Evaluate the like terms

6n= 138

Divide by 6

n = 23

Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17

EFG = 2 * 23 + 25 =71

GFH = 4 * 23 + 17 = 109

Hence, the angles EFG and GFH are 71 and 109 degrees

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Answer:

+ 12 yards

Step-by-step explanation:

8-3 = 5
5 + 12 - 5 = 12

Answer:

x=3, = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

30

Answer:

Step-by-step explanation:

25. 5 < x < 7

Answer: No solution

Step-by-step explanation:

-10x-16=14

-16x-6=14

-10x-16=-16x-6

-10x+16x-16=-16x+16x-6

6x-16=-6

6x-16+16=-6+16

6x=10

x=10/6

x=5/3

-16(5/3)-6=

-80/3-6*3/3=

-80/3-18/3=

(-80-18)/3=-98/3 [tex]\neq[/tex] 14

Hence, there is no solution

The value of y is am-z/7

The expression is given as follows

3y +z= am-4y

The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side

3y + 4y= am-z

y(3+4)= am -z

7y= am-z

Divide both sides by the coefficient of y which is 7

7y/7= am-z/7

y= am-z/7

Hence the value of y in the expression is am-z/7

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Answer: x ≤ 0. Interval Notation: (-∞, 0]

The percent of calories from protein from one serving of the food is found as 15.88%.

A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.

For the given information;

The total calories is 277.

Nutrients information in food.

Protein - 11g

Carbohydrate - 45g

Fat -  6g​

The protein contains 4 calories per gram.

Thus, 11 grams of protein contains 4×11 = 44 calories per grams.

Find the % content of protein out of 277 calories;

p% of 277 = 44

p% = (44×100)/277

p% = 15.88%.

Therefore, the percentage of protein contained in the serving food is 15.88%.

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The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

Roots are the points where the graph intercepts with the x-axis ( y = 0 ).

Given the roots in the question;

x = 2, -2, 3

Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.

Hence, (x - 2) is a factor.

Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.

Hence, (x + 2) is a factor

And the root of x = 4 was found solving for x when x - (4) = y but y = 0.

Hence, (x + 2) is a factor

Now, combine all the factors into a single equation and simplify.

( x-2 )( x + 2 )( x - 4 ) = y

( x² + 2x - 2x - 4 )( x - 4) = 0

( x² - 4 )( x - 4) = 0

x( x² - 4 ) -4( x² - 4 ) = 0

x³ - 4x - 4x² + 16 = 0

x³ - 4x² - 4x + 16 = 0

x³ - 4x² - 4x + 16 = 0

Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

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Answer:

there is a change of 2* per hour

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Slope is rise/run

4/2=2

Answer as a fraction:  x = 1/2

Answer in decimal form:  x = 0.5

Work Shown:

4x+9 = 11

4x = 11-9

4x = 2

x = 2/4

x = 1/2

x = 0.5

Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

Answer: 15

Step-by-step explanation:

order all the numbers from least to greatest and then find the one in the middle

The solution of the equation for b is b = 2s - a - c

The equation is given as

s= 1/2(a + b + c)

Multiply through by 2

So, we have

2s = a + b + c

Subtract a and c from both sides of the equation

b = 2s - a - c

Hence, the solution of the equation for b is b = 2s - a - c

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[tex]i {}^{372} = 1 \\ i {}^{527 } = - i[/tex]

Step-by-step explanation:

Greetings !

Note that:-

[tex]i {}^{2n} = 1.\: if \: n \: is \: even \\ \: \: \: \: \: \: \: = - 1. \: if \: n \: is \: odd[/tex]

And also

[tex]i {}^{2n + 1} = i. \: if \: n \: is \: even \\ \: \: \: \: \: \: \: \: \: \: = - i.\: if \: n \: is \: dd[/tex]

Thus, remembering these general formula plug in values in the place of n and solve.

Therefore,

[tex]i {}^{2(186)} = i {}^{372} = 1[/tex]

where n is even thus its 1 from the above explanation

[tex]i {}^{2(263) + 1} = i {}^{527} = - i[/tex]

following the same procedure the values exceeds to be -i.

Hope it helps !!!

Answer:

DETERMINE COMMON FACTORS

Step-by-step explanation:

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

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Step-by-step explanation:

show how to work out the question

The number of households which have both TV and computers are 200.

Let A be the number of house hold having only TV = 400

Let B be the number of house hold having only computers = 100

Let C be the number of house hold having neither TV nor computer = 100

Let D be the number of house hold having both TV and computer.

Then, the number number of house holds are 800.

A + B + C + D = 800

Put the values;

400 + 100 + 100 + D = 800

D = 800 - 600

D = 200

Therefore, the number of households having both TV and computer are 200.

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The average rate of change of the function over the interval is -9.25

The given parameters are

h(x) = x^2 - 5x + 11

−8 ≤ x ≤ 4

Calculate h(4) and h(-8)

So, we have

h(4) = (4)^2 - 5(4) + 11 = 7

h(-8) = (-8)^2 - 5(-8) + 11 = 115

The average rate of change of the function over the interval is then calculated as

Rate = [h(4) - h(-8)]/[4 - -8]

This gives

Rate = [7 - 118/[12]

Evaluate

Rate = -9.25

Hence, the average rate of change of the function over the interval is -9.25

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65 adult tickets were sold whereas 40 student tickets were sold as well

What approach is appropriate to solve the word problem?

The most suitable approach to determine the number of each type of tickets sold is by simultaneous  equation such the word problems are  modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether

let x be adult tickets sold

let y be student tickets sold

x+y=105........ equation 1

4x+3y=380........ equation 2

from equation 1, x=105-y

substitute for x in equation 2

4(105-y)+3y=380

420-4y+3y=380

420-y=380

420-380=y

40=y

y=40

x=105-40

x=65

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Answer:

x= -2y+3

Step-by-step explanation:

First move the variable to the right: 3x= 9-6y

Next divide both sides of the equation by 3: x=3-2y

Lastly reorder the numbers, the variable should be placed first: x= -2y+3

Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

The given function is greater than or equal to 0 for the interval given as follows:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

For this problem, with a closed interval, we have that the function is above for:

x ≤ -3, -1 ≤ x ≤ 0, x ≥ 2.

Hence the interval notation is:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

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Answer:

1/5 mile

Step-by-step explanation:

1/10 mile in 1/2 second

This can be written as a ratio:

1/10 mile : 1/2 second

We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.

2 × 1/10 mile : 2 × 1/2 second =

= 2/10 mile : 1 second

= 1/5 mile : 1 second

Answer: 1/5 mile

Answer:

first we find out how much is three dozens?

3 x 12 =36

now we multiply 26 and 36 to find out the number of cookies

26 x 36 = 936

936 cookies is your answer

The sales tax on this computer in 62 dollars and 93 cents

The given parameters

Price = $899

Tax rate = 7%

The sales tax on this computer in dollars and cents is calculated as

Sales tax = Price * Tax rate

This gives

Sales tax = $899 * 7%

Evaluate

Sales tax = $62.93

Hence, the sales tax on this computer in 62 dollars and 93 cents

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