Write an equation of the line that passes through the point (–1, 4) with slope 2. A. y+1=−2(x−4) B. y+1=2(x−4) C. y−4=2(x+1) D. y−4=−2(x+1) CHOSE ONE!

Answer:

0

Step-by-step explanation:

Solution:-

We are given two functions as follows:

                      [tex]f ( x ) = x^2 - 15\\\\g ( x ) = 2x[/tex]

We need to determine the composite function defined as ( g - f ) ( x ). To determine this function we need to make sure that both function exist for all real positive value of x.

The function f ( x ) is a quadratic function which has real values for all values of x. Similarly, function g ( x ) is a linear line that starts from the origin. Hence, both functions are defined over the domain ( -∞, ∞ )

We will perform arithmetic operation of subtracting function f ( x ) from g ( x ) as follows:

                       [tex][ g - f ] ( x ) = g ( x ) - f ( x )\\\\\\( g - f ) ( x ) = x^2 - 15 - 2x\\\\[/tex]

Now evaluate the above determined function at x = -3 as follows:

                       [tex]( g - f ) ( -3 ) = ( -3 )^2 - 2 ( -3 ) - 15\\\\( g - f ) ( -3 ) = 9 + 6 - 15\\\\( g - f ) ( -3 ) = 0[/tex]

Answer:

48

Step-by-step explanation:

If x varies inversely as y, we have:

[tex]x \propto \frac{1}{y} \\\implies x = \frac{k}{y}[/tex]

When x=2, y=96

[tex]2 = \frac{k}{96}\\k=192[/tex]

When x=8, y=24

[tex]8 = \frac{k}{24}\\k=192[/tex]

Therefore, the constant of proportionality, k=192.

The equation connecting x and y is:

[tex]x = \frac{192}{y}[/tex]

When x=4

[tex]4 = \frac{192}{y}\\4y=192\\y=48[/tex]

The missing value in the inverse variation given in the table is 48.

Answer:

[tex]7\frac{3}{20}[/tex]

Step-by-step explanation:

Hey there!

Well to add this we need to pu it in improper form.

7/5 + 23/4

Now we need to find the LCM.

5 - 5, 10, 15, 20, 25, 30

4 - 4, 8, 12, 16, 20, 24, 28

So the LCD is 20.

Now we need to change the 5 and 4 to 20.

5*4 = 20

7*4 = 28

28/20

4*5=20

23*5=115

115/20

Now we can add 28 and 115,

= 143/20

Simplified

7 3/20

Hope this helps :)

Answer:

Step-by-step explanation:

[tex] \mathrm{1 \frac{2}{5} + 5 \frac{3}{4} }[/tex]

Add the whole numbers and fractional parts of the mixed numbers separately

[tex] \mathrm{ = (1 + 5) + ( \frac{2}{5} + \frac{3}{4} })[/tex]

Add the numbers

[tex] \mathrm{=6 + ( \frac{2}{5} + \frac{3}{4} )}[/tex]

Add the fractions

[tex] \mathrm{=6 + (\frac{2 \times 4 + 3 - 5}{20} )}[/tex]

[tex] \mathrm{=6 + \frac{23}{20} }[/tex]

Convert the improper fractions into a mixed number

[tex] \mathrm{=6 + 1 \frac{3}{20} }[/tex]

Write the mixed number as a sum of the whole number and the fractional part

[tex] \mathrm {= 6 + 1 + \frac{3}{20} }[/tex]

Add the numbers

[tex] \mathrm{ = 7 + \frac{3}{20} }[/tex]

Write the sum of the whole number and the fraction as a mixed number

[tex] \mathrm{ = 7 \frac{3}{20} }[/tex]

Hope I helped

Best regards!

Answer:

Step-by-step explanation:

To find the height h we use tan

tan ∅ = opposite / adjacent

From the question

The adjacent is 2000 ft

The opposite is h

So we have

tan 15° = h / 2000

h = 2000 tan 15

h = 535.89 ft

h = 536 ft to the nearest foot

Hope this helps you

Answer:

Mean: 46

Median: 43

Mode: 43

Step-by-step explanation:

I hope this helped. I am sorry if you get this wrong.

Answer:

13 and -13

Step-by-step explanation:

The only factors of 169 are 1, 13, and 169.

Since the product is negative, you have to use 13 and -13. These numbers have a difference to 26. And when multiplied they equals -169

Answer:

Part A:

The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)

Area of circle:

Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)

Area of square:

As = side^2 = 11^2 = 121 (side = 11)

=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)

Part B:

The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.

Because P(event) + P(complement of event) = 1

=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)

Answer:

The factors are (4x-1) and (2x+3)

Step-by-step explanation:

The factors of 8x^2 + 10x -3 can be found by grouping terms

8x^2 - 2x  + 12x - 3

2x (4x -1)  + 3(4x-1)

(4x-1)(2x+3)

Answer:

83 cm

Step-by-step explanation:

Change meters to centimeters

1.58 m

1.58 × 100 cm

158 cm

158 cm - 75 cm

= 83 cm

Answer:

The line of best fit

y = 0.633x + 0.561

Step-by-step explanation:

The coordinates that the dart hit include

(–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6)

The x and y coordinates can be written as

x | y

-5|0

1 | -3

4|5

-8|-6

0|2

9|6

So, running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.

Σxᵢ = sum of all the x variables.

Σyᵢ = sum of all the y variables.

Σxᵢyᵢ = sum of the product of each x variable and its corresponding y variable.

Σxᵢ² = sum of the square of each x variable

Σyᵢ² = sum of the square of each y variable

n = number of variables = 6

The scatter plot and the line of best fit is presented in the second attached image to this solution

Then the regression analysis is then done

Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]

Intercept b: = [Σyᵢ - m×(Σxᵢ)] / n

Mean of x = (Σxᵢ)/n

Mean of y = (Σyᵢ) / n

Sample correlation coefficient r:

r = [n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}

And -1 ≤ r ≤ +1

All of these formulas are properly presented in the third attached image to this answer

The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.

Hope this Helps!!!

Answer:

a. y = 0.6x + 0.6

Step-by-step explanation:

Answer:

option B is the right option.

Step-by-step explanation:

[tex] \frac{bc}{ab} = \frac{ab}{bd} [/tex]

Plug the values:

[tex] \frac{20}{12} = \frac{12}{x} [/tex]

Apply cross product property

[tex]20 \times x = 12 \times 12[/tex]

Calculate the product

[tex]20x = 144[/tex]

divide both sides of the equation by 20

[tex] \frac{20x}{20} = \frac{144}{20} [/tex]

Calculate:

[tex]x = 7.2[/tex]

hope this helps..

Good luck...

this is another type of lazy.... : )

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

It's Just 1.

Step-by-step explanation:

Check The Guys Work Above.

Answer:

Identify what you want to prove and you can test using ANOVA, Chi Square, F test ..... among many.

Step-by-step explanation:

Null and alternative hypothesis are always understood in terms of experiments.

In simple words,

  null hypothesis =    The results of your experiment are due to chance  

  alternative hypothesis = The results of your experiments are NOT due to chance

Therefore, identify what you want to prove and you can test using ANOVA, Chi Square, F test ..... among many.

Answer:

253°

Step-by-step explanation:

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: 253°

The solution is, the measure of Arc A D B is 253°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

given that AC and BD are diameters of circle O.

AC and BD intersect at point C the centre of the circle.

The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.

The central angle whose rays intercept a diameter of the circle has measure 180 deg.

m<AOD = 73 deg

m<DOB = 180 deg

m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m(arc)AOD = m<AOD = 253 deg

Answer: the measure of Arc A D B is 253°.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Answer:

Option (4)

Step-by-step explanation:

By the Angle of intersecting secants,

"If two lines intersect outside a circle, then the measure of the angle between these lines or secants will be one half of the difference between the intercepted arcs."

From the picture attached,

Angle between the secants = ∠1

Measure of intercepted arcs are a° and b°.

By this theorem,

m∠1 = [tex]\frac{1}{2}(a-b)[/tex]

Option (4) will be the answer.

Answer:

125

Step-by-step explanation:

30+25+x=180

55+x=180

x=180-55

x=125

Answer:

Step-by-step explanation:

To find x we use tan

tan ∅ = opposite / adjacent

From the question

x is the adjacent

30 is the hypotenuse

So we have

tan 25 = 30/x

x = 30/tan 25

x = 64.33

x = 64.3 to the nearest tenth

Hope this helps you

Answer:

first we find the slope, m=(4-0)/(4+1)

Step-by-step explanation:

first, we find the slope, m=(4-0)/(4+1)=4/5

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

Answer: [tex]\dfrac{5}{2}.[/tex]

Step-by-step explanation:

To find: The number if  [tex]\dfrac{7}{3}[/tex] of it is [tex]5\dfrac{5}{6}[/tex].

Let x be the number.

Then, as per the statement, we have

[tex]\dfrac{7}{3}x=5\dfrac{5}{6}[/tex]

Simplify [tex]5\dfrac{5}{6}[/tex] as [tex]\dfrac{5\times6+5}{6}=\dfrac{35}{6}[/tex]

Then, [tex]\dfrac{7}{3}x=\dfrac{35}{6}[/tex]

Multiply 3 on both sides, we get

[tex]7x=\dfrac{35}{2}[/tex]

Divide both sides by 7, we get

[tex]x=\dfrac{35}{2\times7}\\\\\Rightarrow\ x=\dfrac{5}{2}[/tex]

Hence, the number is [tex]\dfrac{5}{2}.[/tex]

We will see that the mixed number is:

N = 2 + 1/2

We want to find a number N such that 7/3 times N is equal to 5 + 5/6.

So we just need to solve:

(7/3)*N = (5 + 5/6)

If we multiply both sides by 3/7, we get:

(3/7)*(7/3)*N = (3/7)*(5 + 5/6)

N = 15/7 + 15/42

If we multiply and divide the first fraction by 6, we get:

N = (6/6)*15/7 + 15/42 = 90/42 + 15/42

N = 105/42

Now we can write:

105 = 42 + 42 + 21

Replacing that in the fraction we would get:

N = 105/42 = (42 + 42 + 21)/42 = 42/42 + 42/42 + 21/42 = 2 + 21/42

N = 2 + 1/2

If you want to learn more about mixed numbers, you can read:

https://brainly.com/question/1746829

Answer:

(9, 3)  

Step-by-step explanation:

(1) 4(0.25x + 0.5 y) = 3.75 ⟶ x + 2y = 15

(2)                 4x - 8y = 12 ⟶ x  -  2y =   3

                                                   2x = 18

                                                      x = 9

                                              9 - 2y = 3

                                                  -2y = -6

                                                     y = 3

Answer:

2x + y = -4

Step-by-step explanation:

standard form of equation of straight line is

ax+by = c

that  is terms containing x and y should be  on LHS and constant term should be  on RHS

______________________________________________

Given equation

y + 1 = - 2x - 3

lets bring -2x on LHS ,

add 2x on lHS and RHS

y + 1  + 2x = - 2x - 3 + 2x

=> y + 1  + 2x = -3

on lHS, 1 is there which constant term lets bring it on RHS

subtract 1 from both sides

y + 1  + 2x  - 1= -3 -1

y + 2x = -4

rearranging it

2x + y = -4  (Answer)

Answer:

Area of rectangle is 100 square inches.

Step-by-step explanation:

Area of rectangle = length * width

a=l*w

a=4w*w

a=4w^2............(1)

Put the value of w in (1)

a=4(5)^2

a=4(25)

a=100in^2

Answer:

100 yards

Step-by-step explanation:

the length is 4 times the width of the rectangle, so I used guess and check and figured 20 is four times greater than 5 and plugged those two numbers in and it worked.

Answer:

R'(- 2, 4 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

R(4, - 2 ) → R'(- 2, 4 )

Answer:

R'(- 2, 4 )

Step-by-step explanation:

I got it right on edg

Answer:

C

Step-by-step explanation:

According to SohCahToa, cosine is adjacent over the hypotenuse.

The adjacent when looking from angle b, is 21.

The hypotenuse of this triangle is 29.

So Cos B=21/29

Answer:

3.375

Step-by-step explanation:

Answer:

3.375

Step-by-step explanation:

Had it on Khan

Answer:

x = -6

Step-by-step explanation:

3(x+4)-1=-7

Add 1 to each side

3(x+4)-1+1=-7+1

3(x+4)=-6  

Divide by 3

3/3(x+4)=-6/3

x+4 = -2

Subtract 4 from each side

x+4-4 = -2-4

x = -6

Answer:

Step-by-step explanation:

[tex]3(x + 4) - 1 = - 7[/tex]

Distribute 3 through the parentheses

[tex]3x + 12 - 1 = - 7[/tex]

Calculate the difference

[tex]3x + 11 = - 7[/tex]

Move constant to R.H.S and change it's sign

[tex]3x = - 7 - 11[/tex]

Calculate

[tex]3x = - 18[/tex]

Divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]

Calculate

[tex]x = - 6[/tex]

hope this helps

Best regards!!

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

Comment on the geometry

There are three "geometric mean" relationships that apply to this geometry.

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

Answer:

❄️The answer is 7.0 or 7❄️

Step-by-step explanation:

It mostly depends on how many zeros will you put in 7.0

It actually doesn’t matter how many zeros you put after the decimal point.

Below I attached a picture of how to solve this kinds of problem.

Hope this helps! ^-^

By:❤️BrainlyMagic❤️

Note:if you ever need help, you can always ask me!

Answer:

It’s 7.0 or 7

Step-by-step explanation:

Trust me I got it right in my homework.

Answer:

Step-by-step explanation:

use the equation: y =50x-350 where x is the number of hours driving

hrs                

1      50            300

2      100          250

3       150          200

5       250         100

7        350           0

Answer:

1      50            300

2      100          250

3       150          200

5       250         100

7        350           0

Step-by-step explanation:

Answer:

[tex]x+y =14\\x-y =4[/tex]

Step-by-step explanation:

[tex]Let -the -unknown- numbers -be ; x -and; y\\x+y =14\\x-y =4[/tex]