Question
Which is an equation of the line that is parallel to y = 2x -8
and passes through the point (0,-3)?

The equation of line in the slope intercept form is;  y = 3x - 45.

The equation of the line in slope intercept form is;

(y - y₁) = m(x - x₁)

The given coordinates are-

(x₁ ,y₁) = (-9, 12)

the slope of the line is;

slope = m = 3.

Put the values in the equation;

y - (-9) = 3(x - 12)

y + 9 = 3x - 36

y = 3x - 36 - 9

y = 3x - 45

Therefore, the equation of line in the slope intercept form is;

y = 3x - 45.

To know more about the point slope form, here

brainly.com/question/24907633

#SPJ9

The answer that is equal to 0.0079 in scientific notation will be C. 7.9 × 10^-3.

It should be noted that scientific notation are the way that are used to express the numbers given that are either too small or too large.

Therefore, it should be noted that 0.0079 will be written as:

0.0079 = 7.9 × 10^-3

Therefore, the answer that is equal to 0.0079 in scientific notation will be 7.9 × 10^-3.

In conclusion, the correct option is C.

Learn more about scientific notation on:

brainly.com/question/1767229

#SPJ1

Answer:

Step-by-step explanation:

So start with your parentheses, (8-5)(5-3). 8-5=3 and 5-3=2, and when two parentheses are next to each other they will be multiplied.

Example: 3(5-3)^2 ---> 3 x 2^2
Although this "^" means "to the power" so 2 to the power of 2 is 2 x 2=4

So putting it all together we get, (8-5)(5-3)^2 --> 3(5-3)^2 --> 3 x 2^2 [2x2=4] --> 3 x 4 = 12
Your final answer is 12!

If you are still confused please do tell me what is confusing you. :)

In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".

The statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.

Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ1

Answer: C

Step-by-step explanation: the comment box said so so it must be right

Answer: the trust store, because  a smaller denominator is a bigger fraction.

The missing coefficients of x² is 8.

According to the question we have been given the expression which is :

        [tex](15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x) = [ ]x^{2} + 6y^{2} + 6x\\[/tex]

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

       [tex]= (15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x)[/tex]

First we will eliminate the brackets we get

        [tex]= 15x^{2} + 11y^{2} + 8x - 7x^{2} - 5y^{2} - 2x\\[/tex]

Solving the coefficients of  x² terms , y² terms and x terms we get

        = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

Learn more about expression here : https://brainly.com/question/723406

#SPJ9

The true statement about the minimum or maximum value of the given function is that: A. the function has a maximum value of 1.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function refers to its vertex on a graph.

In conclusion, the true statement about the minimum or maximum value of the given function is that the function has a maximum value of 1.

Read more on maximum value of a function here: https://brainly.com/question/12305099

#SPJ1

Complete Question:

Which is the minimum or maximum value of the given function?

A. The function has a maximum value of 1.

B. The function has a minimum value of 1.

C. The function has a maximum value of -2.

D. The function has a minimum value of -2.

Answer: Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Step-by-step explanation:

Slope between two points having coordinates,  (x1, y1) (x2,y2) which lie in a coordinate plane is given by:

coordinate plane is given by:

                                = (y2 - y1) / (x2 - x1)

We can see table 1,

Then we can write,

                           = (-7 - (-9) ) / (-21 - (-25) )

                           = (-7+9) / (-21+25)

                           = 2/4

                           = 1/2

We can see table 2,

Then we can write,

                         = (7-9) / (-21 - (-25) )

                         = -2/-21+25

                         = -2/4

                         = -1/2

We can see table 2,

Then we can write,

                              =  (-21 - (-25) ) / (-7 - (-9) )

                              = (-21+25) / (-7+9)

                              = 4/2

                              = 2

Now, slope of line which passes through (0,-3) and (3,3) is

                              = (3 - (-3)) / 3-0

                              = 3+3/3

                              = 6/3

                              = 2

Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Learn more about event correlation here: brainly.com/question/15830007

#SPJ9

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

Arithmetic sequence or Arithmetic progression is a series of numbers where the difference between each number and the number preceding is equal.

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

where aₙ is the n-th term of the sequence

a₁ is the first term of the sequence , n is the number of terms in the sequence and d is the common difference.

The terms of the arithmetic sequence are of first term a and common difference d are a , (a + d), (a + 2d) , (a + 3d)....

The sum of n terms of an arithmetic sequence is given by

Sₙ=a₁+aₙ where aₙ is the last term of the AP.

To learn more about arithmetic progression visit:

https://brainly.com/question/16947807

#SPJ9

There are 23 quaters in the container in first 6 days and there are 44 quaters in the container on 13th day.

given that

on first day Jake was saved 5 quarters in the container.

Then he adds 3 quaters each day.

now find the how many quarters will he have for the first 6 days.

from the question

5 + (3 X 6) = 5 + 18 = 23

so, there are 23 quaters in the container in first 6 days.

now find how many quaters will he have on the 13th day.

from the question

5 + (3 X 13) = 5 + 39 = 44

so,there are 44 quaters in the container on 13th day.

Learn more about simple calculations from here:

https://brainly.com/question/25736513

#SPJ9

the sum of all interior angles in a polygon is

so this one has 4 sides, so the sum of all those angles is 180(4 - 2) = 360, thus

[tex]10y+10y+9y+y~~ = ~~360\implies 30y=360\implies y=\cfrac{360}{30}\implies \boxed{y=12} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle J}{10(12)\implies 120}~\hfill \stackrel{\measuredangle K}{12}~\hfill \stackrel{\measuredangle L}{9(12)\implies 108}~\hfill \stackrel{\measuredangle M}{10(12)\implies 120}[/tex]

Answer: 17, 28, 39, 50, ..., 11n+6

Step-by-step explanation:

17, 28, 39, 50, ...

28-17=11

39-28=11

50-39=11

Hence,

This is an arithmetic progression where a₁=17 and d=11

Use the formula for an arithmetic progression:

[tex]a_n=a_1+(n-1)d\\a_n=17+(n-1)11\\a_n=17+11n-11\\a_n=11n+6[/tex]

The length of the side of the square cut from the box is 7 cm.

For the given question;

The dimension  of the box is;

Length = 60 cm.

Breadth = 40 cm.

Then the area of the base of the rectangular box before cutting is;

Area =  length×breadth

Area = 60 × 40

Area = 2400 cm².

Let the side of the square cut be 'x'

Then the area of one square is x².

As, square is being cut from each corner, thus the total area will be; 4x².

The area of resulting base after square is cut is 2204 cm².

Thus, the area of cut square = old area - resulting area

Area cut = 2400 - 2204

Area cut = 196

Thus, Area cut = total area of 4 square.

Area cut = 4x²

4x² = 196

On solving;

x = 7.

Thus, the length of each square cut from the rectangle is 7 cm.

To know more about the rectangle, here

https://brainly.com/question/18785948

#SPJ9

Answer:

1,524,211 square miles is equal to 3,947,688 square km

i'm not sure about the second part but i think this is actually the right answer to the first part

Step-by-step explanation:

The independent variable in the children got out of the pool when their mother said it was time to leave is D. The mother.

It should be noted that an independent variable simply means a variable that can stand alone without being changed by the other variables.

It should be noted that from the information given, the statement is that the children got out of the pool when their mother said it was time to leave.

Therefore, the independent variable in the children got out of the pool when their mother said it was time to leave is the mother as she's not influenced by others.

Learn more about variables on:

brainly.com/question/25223322

#SPJ1

Answer:

You should redo your user name

Answer: Improper Response

Step-by-step explanation: Please be more specific and I'll answer

Answer:

Step-by-step explanation:

adjacent and comp

Answer: H=8

Step-by-step explanation:

Because if H times H equals A, and A is 56 you have to divide 7 by 56 and then you get 8 for the variable H.

Answer:

diameter

Step-by-step explanation:

The chord of a circle that passes through the center is the diameter.

-8p-9=8-5p-9

-8p+5p=9-9+8

=3p=8

=3p÷3=8÷3

=p=2.6666

=p=2.67

The ratio of isaiah,s liabilities is less than 1.

Let , isaiah has total debt (not including mortgage) is $7,410.

Her net worth (not including his home) is $21,000.

Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.

therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.

Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.

the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.

The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.

to know more about savings;

visit;brainly.com/question/28607300

#SPJ9

The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.

It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.

Therefore, the appropriate ratio between the black keys and total keys will be:

= 36 / 88

= 9 / 22

= 9:22

Therefore, the relationship is that there are 9 blacks keys for every 22 keys.

Learn more about piano on:

brainly.com/question/2109428

#SPJ1

Answer:345600000000

Step-by-step explanation:

The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

Example: Convert 357,096 to Scientific Notation

Move the decimal 5 places to the left to get 3.57096

a = 3.57096

We moved the decimal to the left so b is positive

b = 5

The number 357,096 converted to scientific notation is 3.57096 x 10^5

The equation to represent the relationship between  number of years and height of tree is y = 2.5x + 4

The tree was planted at 4 feet.

It will grow 2.5 feet each year.

x =  the number of years since the tree has been planted.

y = the projected height of the tree

Therefore, the relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree can be represented as follows:

The equations is linear.

Hence, it will be in the format below

y = mx + b

where

y = 2.5x + 4

Therefore, the equation to represent the relationship is as follows:

learn more on equation here: https://brainly.com/question/28727777

#SPJ1

Answer: The answer is -4

Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!

Hope this Helps :D