Answer:
(-2.5, 1) and (0.5, 5)
Step-by-step explanation:
The main idea is to divide the line into four segments.
so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).
then you find the midpoint again between (-4, -1) (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).
Answer:
see explanation
Step-by-step explanation:
If 2 functions are inverses then the x and y- coordinates swap, that is
(x , y ) → (y, x )
Thus
a = - 3.8 ← the x- coordinate of the inverse
b = - 2.6 ← the y- coordinate of the inverse
c = 1.7 ← the x- coordinate of the inverse
d = 4.4 ← the y- coordinate of the inverse
e = 1.0 ← the x- coordinate of the inverse
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
The domain is the x, you cant find x just from having y, so i guess your x=0
Answer:
Their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.
The total students involved is 350 student. The total student is the sum of the student in all three grades.
Since the water will be distributed to the students in cups let us convert gallons to cups.
1 gallons = 16 cups
48 gallons = ? cups
cross multiply
48 × 16 = 768 cups.
768 cups of water is available to be shared among the 350 students.
1 student is entitled to 2 cups of water.
350 students will consume 350 × 2 = 700 cups of water.
Therefore, their will be enough water for each student to consume 2 cups of water.