solve system by substitution y=3x-20 y=-x^(2)+34
A The maximum amount of juice the jar can hold is 7/6 gallons.
B The maximum amount of juice the jar can hold is 6/7 gallon.
C The amount of juice that can be still poured in the jar is 7/6 gallons.
D The amount of juice that can be still poured in the jar is 6/7 gallon.
WRITE THE PARTICULAR EQUATION EXPRESSING COST (C) IN TERMS OF MILES (D) TRAVELED.
PLEASE SHOW ALL WORK
Answer:
y = - 8x + 12
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (10, - 68)
m = = = - 8, thus
y = - 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 4), then
4 = - 8 + c ⇒ c = 4 + 8 = 12
y = - 8x + 12 ← equation of line
Answer: 770
Step-by-step explanation: To round 768 to the nearest 10, we first find the digit in the rounding place which in this case is the 6 in the tens place.
Next, we look at the digit to the right of the 6 which is 8. According to the rules of rounding, since the digit to the right of the rounding place is greater than or equal to 5, we round up.
So in this problem, since 8 is greater than or equal to 5, we round down. This means that the digit in the rounding place which is 6 moves up to 7 and we add a 0 to all the digits that are right of 7.
Therefore, 768 rounded to the nearest 10 is 770.