Point p is shown on the number line below which of the following values is best represented by point p

The value which best represents the point P is:

                  Option: C

                      C.  -25

We know that the number lie to the left of -20.

This means that the number is smaller than -20 and hence is a negative number.

Now, from -30 to -20 the number line is divided into 5 parts.

i.e.

          -30 , -28 , -26, -24 , -22 , -20

i.e. the first part to the left of -20 contains the number between -20 and -22

second part to the left of -20 contains the number between -22 and -24.

Third part to the left of -20 contains the number between -24 and -26

and so on.

From the graph we see that the Point P lie in the middle of -24 and -26.

         Hence, the Point P is the value: -25

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form