If an experiment has 
possible outputs, each with probability
then the sum of all probabilities is always one:
So, in your case, you have
plugging in the given values:
we can deduce that
The rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.
y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false
Answer:
To find the intercepts, equate one variable to
0
and solve for the other variable:
y-intercept
Set
x
to
0
and solve for
y
giving:
3
x
−
5
y
=
15
becomes:
(
3
⋅
0
)
−
5
y
=
15
0
−
5
y
=
15
−
5
y
=
15
−
5
y
−
5
=
15
−
5
−
5
y
−
5
=
−
3
y
=
−
3
or
(
0
,
−
3
)
x-intercept
Set
y
to
0
and solve for
x
giving:
3
x
−
5
y
=
15
becomes:
3
x
−
(
5
⋅
0
)
=
15
3
x
−
0
=
15
3
x
=
15
3
x
3
=
15
3
3
x
3
=
5
x
=
5
or
(
5
,
0
)
Next. we can plot the two points on the grid:
graph{((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
Then, draw a line through the two points:
graph{(3x - 5y -15)((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
The image of the ramp with dimensions is missing, so i have attached it.
Answer:
680 in² of wood is needed.
Step-by-step explanation:
The way to find how much wood would be needed by devon would be to find the total surface area of the ramp.
From the attached image,
Let's find the area of the 2 triangles first;
A1 = 2(½bh) = bh = 15 x 8 = 120 in²
Area of the slant rectangular portion;
A2 = 17 x 14 = 238 in²
Area of the base;
A3 = 15 × 14 = 210 in²
Area of vertical rectangle;
A4 = 8 × 14 = 112 in²
Total Surface Area = A1 + A2 + A3 + A4 = 120 + 238 + 210 + 112 = 680 in²
Answer:
Step-by-step explanation:
Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation
