Define a variable and write an expression for the phrase. 7 less than a number

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

Answer:

  8

Step-by-step explanation:

If j represents Jack's age, we have ...

  2j +5 = 21

  2j = 16 . . . . . . subtract 5

  j = 8 . . . . . . . . divide by 2

Jack is 8 years old.

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

Answer:

x=6

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer: 1/3?

Step-by-step explanation:

The wording is a bit confusing.  ". . . so 5 is what part of 9 is 3​ . ." seems to be missing some portion of the sentence.

You ate 5/9 of the candies.  There were 9 and you consumed 5.  I don't know what you are asking in " . .  what part of 9 is 3."  3 is 3/9, or 1/3.

Answer:

20(z-7)

Step-by-step explanation:

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

5x=-2-3 (calculate the difference)

5x=-5 (both side over 5)

x=-1

i hop it helps you❤

Answer:

it is 6°. because 10 degree - 4 degree = 6 degree

[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]

Answer:

  B

Step-by-step explanation:

The table that represents a function will have no x-values repeated.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

Answer:

It would i feel like its 132

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

$1.25*3=3.75

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

Answer:

Step-by-step explanation:

4x = 3yz^2

4x/3y = z^2

To undo an exponent you root it.

[tex]\sqrt{4x/3y} = z[/tex]

I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.

Answer:

x = -3

Step-by-step explanation:

hope this helps!!

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

Answer:

Ahmed shoveled more

Step-by-step explanation:

you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48

compare with 4/15 and 4/15 is higher so that what you got wrong

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

Answer:

x≤30

Step-by-step explanation:

he can spend no more than $30 a week

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

Learn more about regression line equation here:

https://brainly.com/question/9339658

https://brainly.com/question/7361586

https://brainly.com/question/14747095

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Explanation:

Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.

More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).

In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.

Answer: 76 = 4g

Step-by-step explanation:

76 is the product of Greg's savings and 4 can be represented as 76 = 4g

Answer:

        => 4x - 2x + 15

        => 2x + 15

        => -8 - 36x + 108x²

        => 15 - 14 - 56x

        => 1 - 56x

Step-by-step explanation:

Hoped this helped.

Answer:

[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]

Apply Distributive property:

[tex]\sf 4x-2x+15[/tex]

Combine like terms:

[tex]\boxed{\sf 2x+15}[/tex]

_____________

[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]

Apply Distributive property:

[tex]\boxed{\sf -8-36x+108x^2d}[/tex]

_______________

[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]

Apply Distributive property:

[tex]\sf 15-14-56x[/tex]

Subtract numbers:

[tex]\boxed{\sf 1-56x}[/tex]

_______________________________________

Answer:

Question 2: 2/3

Question 1: 1/3

Question 3: 20

Step-by-step explanation:

Question 2: 8/4 = 2 & 12/4 = 3.

Question 1: 6/6 = 1 & 18/6 = 3.

Question 3: 10/10 = 1 & 20/10 = 2.

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is