A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 105 students from

Answer:

Step-by-step explanation:

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

x^3+3x^2-10x-24

Answer:

3 °F/h

Step-by-step explanation:

The rate per hour of temperature change = change in temperature per measurement/change in time per measurement.

Now, the change in temperature per measurement is constant = 3/4 °F and the change in time per measurement is constant = 15 minutes = 15/60 h = 1/4 h.

So, rate per hour of temperature change = change in temperature per measurement/change in time per measurement

= 3/4 °F ÷ 1/4 h

= 3/4 °F × 4/h

= 3 °F/h

So, the rate per hour of temperature change is 3 °F/h

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

brainly.com/question/1559324

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4