make up an equation in the form of an y=kx +b, the graph which passes through the following points: (5,5) and (-10,-19)

the slope of the given straight line will be -3

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

Slope is = y2-y1/x2-x1

=9-0/0-3

=-3

Hence the slope of the given straight line will be -3

Learn more about Slope, by the following link

https://brainly.com/question/3493733

#SPJ1

Answer:

The number is 162.

Step-by-step explanation:

Let's let the number =n

So, we can set up an equation.

(n/9) is a number divided by 9.

Its "quotient" (the answer to that expression) is multiplied by 6.

6(n/9)

The product (answer) is 108.

6(n/9) = 108.

Then we can solve.

6(n/9) = 108

(n/9) = 18

n = 162

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The median for odd data will be

Median = [(n + 1) / 2]th

The median for even data will be

Median = {[n / 2 + (n + 2)/ 2] / 2}th

The data is given below.

23, 15, 32, 27, 19, 11, 30, 19, 22

Arrange the data in ascending order. Then we have

11, 15, 19, 19, 22, 23, 27, 30, 32

Then the median of the following 9 numbers is calculated as,

Median = [(9 + 1) / 2]th

Median = (10 / 2)th

Median = 5th

Median = 22

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

More about the median link is given below.

https://brainly.com/question/300591

#SPJ1

The factors of the given equation x³ - 2x² - 5x + 6 is (x - 1)(x + 2)(x - 3) with the help of synthetic division.

Let f(x) = x³ - 2x² - 5x + 6

Substitute x = 1

f(1) = (1)³ - 2(1)² - 5(1) + 6

⇒ f(1) = 1 - 2 - 5 + 6

⇒ f(1) = -1 + 1

⇒ f(1) = 0

As x = 1 is the root of the given equation therefore one of the factor of the given equation is (x-1)

Now use long division method, we get (x² - x - 6) as another factor.

⇒ f(x) = (x - 1)(x² - x - 6)

⇒ f(x) = (x - 1)(x² - 3x + 2x - 6)

⇒ f(x) = (x - 1)(x(x-3) + 2(x-3))

⇒ f(x) = (x - 1)(x - 3)(x + 2)

To know more about factors here

https://brainly.com/question/1638226

#SPJ4

If the radius is quadrupled, then the area of the new area to the old area will be 4:1

You should be aware that the quadrupled of a circle is four times the area of the old one.

In this case the area of the circle is denoted by

Area = πr²

Where r= radius=6 cm

The area of the old circle is 22/7 * 6 * 6

Area of the circle is = 113.1cm²

To this effect, the area of the new circle is 4(area of the old one)

Area = 4*22/7 * 6 * 6

Area = 3167/7

Area is = 452.6

This implies that 4(113.2) =452.6

In conclusion, you will discover that four times the area of the new circle is the old circle

Learn more about quadrupled on https://brainly.com/question/7966538

#SPJ1

Answer:

16 students

Step-by-step explanation:

It is a 3 to 5 ratio, so if there are six boys, there are 10 girls. Six plus ten is 16 students.

Answer:

2

Step-by-step explanation:

Answer:

11.25 m

Step-by-step explanation:

Since the volume of  a rectangular prism, V = lwh where l = length, w = width and h = depth,

So, l = V/wh

Now, for the length of the community pool, its volume, V = 480 m³, h = 2 m and w = 12 m

So, l = V/wh

= 480 m³/(12 m × 2 m)

= 480 m³/24 m²

= 20 m

Also, for the length, l' of the Shorewood High School pool, its volume, V' = 937.5 m³, its depth, h' = 2.5 m and its width, w' = 15 m

So, l' = V'/w'h'

= 937.5 m³/(15 m × 2 m)

= 937.5 m³/30 m²

= 31.25 m

So, the difference in length of the pools is l' - l = 31.25 m - 20 m = 11.25 m

So, the high school's pool is 11.25 m longer than the community pool.

Answer:

C. 6

Step-by-step explanation:

10x - 4x = 36

1. Take away 4x from each side

6x = 36

2. Divide by six

x = 6

Peggy completed more of the math homework than Al

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

we know that

In order to be able to compare fractions more easily it is recommended that both have the same denominator

Peggy

5/6 x 5 = 25/30

Al

4/5 x 6 = 24/30

Peggy completed more of the math homework

To learn more about the division of fractions from the given link

https://brainly.com/question/1622425

#SPJ4

Answer:

(I cannot show a picture of a bar model, apologies)

Answer:

B

Step-by-step explanation:

I think your supposed to just count the dots

Answer:

B. 18

Step-by-step explanation:

The number of observations here means every time they saw how many pennies someone brought in. So you count up the total number of dots from 0-50 on here, and there are 18.

After the modification, the maximum amount of medical costs in the sample must have stayed the same.

After the wrongly recorded medical expense was repaired, the adjusted amount remained more than or equal to every other medical expense in the sample. This suggests that the sample statistic linked to the highest value must have remained unchanged after the modification.

The highest value, also known as the maximum or largest value, of the medical expenses in the sample, had to have remained constant. Even though the real quantity was mistakenly recorded as being 10 times its value, the rectified amount still had the highest value in the sample.

To know more about sample statics follow

https://brainly.com/question/30446683

#SPJ12

Answer:

analysis (i got to put a bunch of random stuff here cs the limit)

Answer:

Step-by-step explanation:

If [tex]x = t^{1/3}[/tex], then [tex]t=x^{3}[/tex]

Now, puting [tex]t[/tex] value in the other equation, we have

[tex]y=x^{3} - 4[/tex]

Therefore, is a cubic equation

Rectangular equation be described as the cubic equation. The cubic equation is obtained after rearranging the equation. Option A is correct.

We do the identical actions on both sides to ensure that the equality of both expressions is maintained.

Solving equations entails determining the values of the variables involved for which the equation is valid.

Given equation;

[tex]\rm x = t^{\frac{1}{3} }\\\\ t=x^3[/tex]

Put the value of t in the equation;

y = t – 4

y=x³-4

The obtained equation is cubic in nature.

Hence,rectangular equation be described as the cubic equation.

To learn more about the equation, refer:

https://brainly.com/question/10413253

#SPJ2

Answer:

[tex]x \approx 86.5[/tex]

Step-by-step explanation:

To solve the given problem, use the following trigonometric ratios,

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta) = \frac{adjacnet}{hypotenuse}\\\\tam(\theta) = \frac{opposite}{adjacent}[/tex]

Each of the sides are named relative to the given angle, therefore, when looking at different angles, the sides will have different names.  In this case, one is given the length of the hypotenuse, and one is asked to find the length of the given side. Therefore, it would make the most sense to use the ratio of sine ([tex]sin[/tex]). Substitute in the given values and solve,

[tex]sin(84)=\frac{x}{87}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=(87(sin(84))[/tex]

Solve,

[tex]x \approx 86.5[/tex]

The equation of the line found is:

y = 3x + 1.

Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.

Linear equation:

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.

The equation of a line is given by:

y = mx + b

In which:

m is the slope, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

From the table, when x =0 and y =1 , thus b = 1.

When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7  , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.

The equation of the line is:

    y = 3x + 1.

Learn  more about equation:

https://brainly.com/question/29657988

#SPJ4

Answer:

65ᵗʰ Term of the sequence is 479

50ᵗʰ Term of the sequence is 346

Step-by-step explanation:

Here,

First Term = a₁ = 3

Second Term = a₂ = 10

Third Term = a₃ = 17

Now,

Common Difference (d)

d = a₂ - a₁ = (-7) - (-15) = -7 + 15 = 8

d = a₃ - a₂ = 1 - (-7) = 1 + 7 = 8

Here, Common Difference is same everywhere

Now, For 65ᵗʰ term, n = 65

aₙ = a + (n - 1)d

a₆₅ = (-15) + (65 - 1) × 8

a₆₅ = (-15) + 64 × 8

a₆₅ = (-15) + 512

a₆₅ = 479

Thus, 65ᵗʰ Term of the sequence is 479

Here,

First Term = a₁ = -15

Second Term = a₂ = -7

Third Term = a₃ = 1

Now,

Common Difference (d)

d = a₂ - a₁ = 10 - 3 = 7

d = a₃ - a₂ = 17 - 10 = 7

Here, Common Difference is same everywhere

Now, For 50ᵗʰ term, n = 50

aₙ = a + (n - 1)d

a₅₀ = 3 + (50 - 1) × 7

a₅₀ = 3 + 49 × 7

a₅₀ = 3 + 343

a₅₀ = 346

Thus, 50ᵗʰ Term of the sequence is 346

-TheUnknownScientist

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:

[tex]nCr = n / (r(n-r))[/tex]

where n is the total number of options (43) and r is the number of choices (5).

so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]

Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

To know more about probability visit:

brainly.com/question/11234923

#SPJ4

The area of the floor in the scale drawing is 60 inches²

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangular floor.

Length = 24 feet

Width = 40 feet

Scale rectangular floor.

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scale rectangular floor.

= Length x Width

= 6 x 10

= 60 icnhes²

Thus.,

The area of the floor is 60 inches².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

Answer:

[tex]mean = \frac{sum}{number} \\ 102 = \frac{(100 + 122 + 103 + 113 + 109 + x)}{6} \\ 612 = 547 + x \\ x = 65[/tex]

Answer: solving by forming simple algebra equation

Step-by-step explanation:

8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)

We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y

& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80

& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
      = 6 (10) = 60

so the cost of basketball is $80 & 1 volleyball is $60

Hope it helps :)

p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!

Answer:

Last option...

Step-by-step explanation:

Answer:

The very last one

Step-by-step explanation:

x cannot have two outcomes

u can download the gauthmath app. i promise it's very helpful :)

Answer:

y=1/4x+5

Step-by-step explanation:

............ ............

Answer:

The third,

The range of [tex]f(x)[/tex] is [tex]y > 0[/tex] and the domain of [tex]f^{-1} (x)[/tex] is  [tex]x>0[/tex]

Step-by-step explanation:

The solution to the function is range of f(x) is y > 0 and the domain of f' ( x ) is x > 0

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. Once we enter an x value, the function outputs this sequence of values.

The collection of results from a relation or function is known as the range. It is, in other words, the range of potential y values. As ordered pairs of the form (x,y), the y coordinate is provided after the x coordinate. After the input is a list of the output.

Given the data,

Let's write the function as f. ( x )

The function's inverse is now presented as

Function is equal to f'(x), where x and y intercepts are switched.

The range of f(x) is now all the values of y.

And , y > 0

Hence, x > 0 defines the domain of f' (x).

As a result, the domain of f' (x) is x > 0 while the range of f(x) is y > 0.

Click here for further information about domain and range.

https://brainly.com/question/28135761

#SPJ7

The first row of the SHORT BINGO card contains 5 numbers, one from each of the sets $1-10$, $11-20$, $21-30$, $31-40$, and $41-50$. Since the WILD square is in the middle of the card, it does not affect the possibilities for the first row.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

For the first column, there are 10 possibilities, as it can contain any number from the set $1-10$.

For the second column, there are 10 possibilities, as it can contain any number from the set $11-20$.

For the third column, there are 9 possibilities, as it can contain any number from the set $21-30$ except the one already used.

For the fourth column, there are 10 possibilities, as it can contain any number from the set $31-40$.

For the fifth column, there are 10 possibilities, as it can contain any number from the set $41-50$.

The total number of distinct possibilities for the values in the first row of a SHORT BINGO card is the product of the possibilities for each column, which is:

10 * 10 * 9 * 10 * 10 = 90000.

Learn more about probability visit:

brainly.com/question/13604758

#SPJ4

Answer:

7 / 36

Step-by-step explanation:

Using the sample space attached,

Required outcome = multiple of 5 from the sun of two rolled dice = 7

Total possible outcomes =(number of faces)² = 6² = 36

Therefore, the probability of obtaining a sum which is a multiple of 5 is :

P(sum which is a multiple of 5) :

Required outcome / Total possible outcomes

= 7 / 36