Answer:
C. In y^2-y=6, 6 should have been subtracted on both sides first.
Step-by-step explanation:
It is a quadratic equation so you subtract the 6 and create
y^2-y-6=0
Then you factor it to:
(y-3)(y+2)=0
The solutions then are:
y-3=0, y=3 and y+2=0, y=-2
{-2,3}
Answer: 16
Step-by-step explanation:
Since 57+21+6= 84, the 16 will make it 100, hence, completing the circle graph.
Answer:
Step-by-step explanation:
The average rate of change is given by [g(x_2) - g(x_1)]/(x_2 - x_1). Here, we have x_1 = -2, x_2 = -2 + h, and g(x) = 4/x, so we get:
Average rate of change
= [g(x_2) - g(x_1)]/(x_2 - x_1)
= [4/(-2 + h) - 4/(-2)]/[(-2 + h) - (-2)]
= [4/(-2 + h) + 4/2]/(-2 + h + 2)
= [4/(-2 + h) + 2]/h
To simplfiy this, we combine fractions in the numerator:
[4/(-2 + h) + 2]/h
= [4/(-2 + h) + 2(-2 + h)/(-2 + h)]/h
= {[4 + 2(-2 + h)]/(-2 + h)]}/h
= [(4 - 4 + 2h)/(-2 + h)]/h
= [2h/(-2 + h)]/h
= 2/(-2 + h)
So the average rate of change of g(x) = 4/x between x = -2 and x = -2 + h is 2/(-2 + h).
I hope this helps!
Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
Answer:
The second and last statement are true.
Step-by-step explanation:
f(0)=1/2(0)+3/2 = 3/2
f(4) =1/2(4)+3/2 = 7/2