Answer:
Marty’s with a slope of 1/3
Step-by-step explanation:
Step-by-step explanation:
Marty
y+3=(1/3)*(x+9)
y + 3 = (1/3)*x + 3
y = (1/3)*x
Marty's slope: 1/3
Option 3 is correct
Marty’s with a slope of 1/3
Step-by-step explanation:
Using slope intercept form:
The equation of line is: ....[1]
where,
m is the slope and b is the y-intercept.
Formula for Slope is given by:
....[2]
As per the statement:
Marty and Ethan both wrote a function, but in different ways.
Marty equation is:
using distributive property we have;
Subtract 3 from both sides we have;
On comparing with [1] we have;
Slope of Marty =
Ethan wrote a function:
Consider any two values from the table we have;
(0, 10) and (2, 10.4)
Substitute these in [2] we have;
Slope of Ethan = 0.2
Therefore, . Marty’s with a slope of 1/3 function has the larger slope
Answer:
True
x = 4.32 (2 dp)
Step-by-step explanation:
x³ - 5x = 59
x³ - 5x - 59 = 0
x = 4
4³ - 5(4) - 59 = -15
x = 5
5³ - 5(5) - 59 = +41
A change in sign indicates the existence of root between 4 and 5
Use iterative process to identify the root
x³ - 5x - 59 = 0
x³ = 5x + 59
x = (5x + 59)^⅓
Start at any x between 4 and 5
x(n+1) = (5x(n) + 59)^⅓
x0 = 4.8
x1 = 4.362070671
x2 = 4.323369309
x3 = 4.319915667
x4 = 4.319607202
x5 = 4.318579649
Clearly x is 4.32 (2 dp)
Answer:
8+2=10
Step-by-step explanation:
A negative minus a negative equals a positive. So 8-(-2) would go to 8+2
You use the volume formula for a sphere, or V=4/3*pi*r³;
so the first balloon (3cm) has a volume of 113.1.
The second balloon (6cm) has a volume of 904.78.
Therefore, you do 904.78-113.1, getting 791.68 cm³