(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.


x y

4 3

6 4

8 9

11 12

13 17



A: y = 1.560x - 4.105

B: y = -4.105x + 1.560

C: y = 4.105x - 1.560

D: y = -1.560x + 4.105

please hurry

Answer:

4

Step-by-step explanation:

16/4

The closest to x the distance between the two poles is gotten as; x = 75 ft

From the Brainly link attached, we can see the diagram and we can say that;

We are given a right angled triangle with;

A known angle of; θ = 20°

Length of the hypotenuse = 80

Now, we want to find the length of the base x. Thus, we will use trigonometric ratio to get;

cos θ = x/hypotenuse

Thus;

cos 20 = x/80

x = 80 cos 20

x = 75.17 ft ≈ 75 ft

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The x-intercept is (1, 0) and (-0.5, 0).

The correct option is (a)

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function is:

f(x)= [tex]-2x^{2}+x+1[/tex]

So, The graph of this equation is attaches below.

The x- intercepts of this graph

[tex]\mathrm{X\:Intercepts}:\:\left(-\frac{1}{2},\:0\right),\:\left(1,\:0\right)[/tex]

or

X intercepts: (1, 0) and (-0.5, 0)

Hence, the x-intercept is (1, 0) and (-0.5, 0).

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The (g-f)(x) is option D: - x² - 6x + 5.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Given;

f(x) = x²+2x-4

g(x) = -4x+1,

Then the subtraction of the two function;

g(x) - f(x)

= -4x+1 - (x²+2x-4 )

= -4x+1 - x²- 2x + 4

= - x² - 6x + 5

Hence, the correct option is D: - x² - 6x + 5.

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Answer:

504 ways

Step-by-step explanation:

We know that since Sonji wants the last digit to be 7 and that numbers don't repeat, there are only 9 possibilities for the first digit, 8 possibilities for the second digit, 7 possibilities for the third digit, and 1 possibility for the fourth digit (which is 7).

Using the Fundamental Counting Principle, there are 9*8*7*1 = 504 ways for the remaining digits to be chosen.

Answer:

B. 504

Step-by-step explanation:

Have a good day!

The numbers based on the information will be 4 and 16.

Let the numbers be a and b.

Therefore, a - g = 2

(a + b)/2 - ✓ab = 2 or

(✓a - ✓b( = 4

g - h = 1.8

✓ab = 2ab/a + b = 1.8

5✓ab(✓a - ✓b)² = 8(a + b)

2a - 5✓ab + 2b + 0

✓a = 2✓b

a = 4b

b = 4.

✓a = 2✓b = 4

a = 16

Therefore, the numbers based on the information will be 4 and 16.

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The interior angles sum to 180°, so the missing angle has measure

180° - 106° - 12° = 62°

Use the law of sines to find RS:

sin(106°)/RS = sin(62°)/34   ⇒   RS = 34 sin(106°)/sin(62°) ≈ 37

Answer:

0.5 =12.0095

pint   U.S Cup

I think im right but I hope this helps! ^^

The step of Talia that's incorrect is: C. step 3 because the slope ratio she calculated is incorrect.

The slope of a line (m) = rise/run = change in y / change in x.

Calculating the slope using two points on the line, (2, 5) and (1, 3), we should have:

Slope (m) = (5 - 3)/(2 - 1)

Slope (m) = (2)/(1)

Slope (m) = 2

This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3

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Answer:

1/2

Step-by-step explanation:

to solve this equation you must find the greatest common factor or gcf to make the denominators the same

that happens to be 6

so

-4 5/6 + 5 2/6

then you add

you can break them up at add them like this

(-4 + 5) + (-5/6 + 2/6)

1 + -3/6

-3/6 is also -1/2

1 + -1/2

1/2

that is your answer

Considering the given quadratic function, we have that:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is given by:

g(x) = -5(x - 3)²

Hence h = 3, k = 0, and the vertex is (3,0).

They are the values of x for which g(x) = 0, hence:

-5(x - 3)² = 0

(x - 3)² = 0

Applying the root to both sides:

x - 3 = 0.

x = 3.

The x-intercept is (3,0).

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Answer:

$14

Step-by-step explanation:

6 attendees divided by the cost of 12 = $2 per attendee

If 7 attendees are joining times $2 per person =$14

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45000\\ r=rate\to 6.3\%\to \frac{6.3}{100}\dotfill &0.063\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=45000\left(1+\frac{0.063}{12}\right)^{12\cdot 5}\implies A=45000(1.00525)^{60}\implies A\approx 61611[/tex]

Answer:

how many are of each number

Step-by-step explanation:

because it just shows the range, and the average, and the quarters, you can't really tell how many of the "item" of associated with each number

The mean absolute deviation, rounded to the nearest hundredth, is: 11.67 calories.

To find the mean absolute deviation, find the mean of the data then find the average distance of each data point from the mean.

Given the data, 61, 42, 52, 27, 35, 23:

Mean = (61 + 42 + 52 + 27 + 35 + 23)/6

Mean = 240/6

Mean = 40

Mean absolute deviation = [(61 - 40) + ( 42 - 40) + ( 52 - 40) + ( 27 - 40) + ( 35 - 40) + ( 23 - 40) 6 = (21) + (2) + (12) + (13) + (5) + (17)] / 6 = 70/6

Mean Absolute Deviation = 11.67 calories.

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The slope of the parallel line is always equal. Given the slope of the green line is -3/7, also, it is parallel to the red line. Therefore, the slope of the red line is -3/7.

Hence, the correct option is A.

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Answer:

Step-by-step explanation:

x²-3x+4+x=4

x²-3x+x=4-4

x²-2x=0

x²-x=0/2

x²-x=0

x=0

[tex]\left(3\cdot8\cdot x\right)^7\\\\\left(3\cdot2\cdot4\cdot x\right)^7\\\\\left((3\cdot2)\cdot4\cdot x\right)^7\\\\\left(6\cdot4\cdot x\right)^7\\\\6^7\cdot4^7\cdot x^7\\\\[/tex]

In the second step, I rewrote 8 as 2*4. Then after that I regrouped terms so that the (3*2) can pair up together. This of course turns into 6. After that point, we have 6, 4 and x multiplied together as the base.

The last step uses the rule that [tex](a*b*c)^d = a^d*b^d*c^d[/tex], in other words, we apply the exponent d to each term inside the parenthesis. Each term inside gets its own exponent.

An example: [tex](2*4*6)^3 = 2^3*4^3*6^3[/tex]

Answer:

2020

Step-by-step explanation:

(12×5×14.5+7×4×5)×2=

2020

The total amount that would be spent on all the activities is  $1605.40.

The total amount that would be spent on movies = (14/25) x 1200 x 1.55  = $1041.60

The total amount that would be spent on planetarium tickets = (7/25) x 1200 x 1.05 =352.80

The total amount that would be spent on backstage passes = (4/25) x 1200 x 1.10 =211.20

Total amount = 211.20 + 352.80 +  $1041.60 = $1605.40

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The function  f(x)=2/x²+3x-10 is negative for all x < -5 option second "is negative for all x < -5" is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm f\left(x\right)=\dfrac{2}{x^2}+3x-10[/tex]

f(x) is positive for all x < -5

Plug x = -4

f(-4) = -21.875

The above statement is not true

f(x) is negative for all x < -5

Plug x = -4

f(-4) = -21.875

The above statement is true

f(x) is positive for all x < 2

Plug x = 1

f(1) = -5

The above statement is not true

f(x) is negative for all x > 2

Plug x = 3

f(3) = -0.777

The above statement is not true

Thus, the function  f(x)=2/x²+3x-10 is negative for all x < -5 option second "is negative for all x < -5" is correct.

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Answer:

5 in. = 2 mi.

Step-by-step explanation:

2.4mi  = 6in

1 mi = 2.5in

2.5 inches = 1mile

Convert to whole #'s as the question asks

5 in. = 2 mi

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer:

3 inches = 1 miles

Step-by-step explanation:

The first scale you get is with the information that is given:

6 inches = 2.4 miles

Then you simplify, dividing both sides by 2.4:

2.5 inches = 1 miles

Rounding up: 3 inches = 1 miles

Hope it helps!

Answer:

42 degrees.

Step-by-step explanation:

70 = 3x + 33 + 5x + 13

70 = 8x + 46

8x = 24

x = 3

m∠ABC = 9 + 33 = 42 degrees.

The most appropriate way to report a length measured by using this yardstick is to write the measurement in decimals (0.25) rather than in fraction (¼).

Measurement is a process through which the size, dimensions, or other physical quantities of magnitude that are associated with an object is taken, especially for use in a scientific research and experiment.

In Mathematics, a yardstick refers to a graduated measuring stick that has its length equal to one yard.

In this scenario, the most appropriate way to report a length measured by using this yardstick is to write the measurement in terms of decimals (0.25), so as to make easy approximations of the distance possible.

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The height of the toy dinosaur will be 32 inches.

In mathematics scaling is defined as the enlarging or contracting of the size of an object by reducing or increasing the units of the measurements of the object.

Given that:-

An adult mamenchisaurus dinosaur was about 24 feet tall. if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches.

The new height of the dinosaur will be calculated as:-

We know that the size of the dinosaur is scaled as 9 inches to 1 inch the actual height of the dinosaur is 24 feet so the scaled height will be:-

Actual height = 24 ft = 24 x 12 = 288 inches

9 inches  → 1 inch

288 inches  → 288 / 9 = 32 inches.

Therefore the height of the toy dinosaur will be 32 inches.

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The probability notation for choosing a blue disk or a green disk is P ( B U G).

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability = (number of blue discs / total number of discs) + (number of green discs / total number of discs)

3/8 + 5/8

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