Answer: 3,130
Step-by-step explanation: 2,815 + 315 = 3,130
Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.
We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped
15P/50
8B/50
2G/50
18C/50
7S/50 for a total of 50 marbles
Now we use the chart to decide our awnsers
A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.
B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely
C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these
D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of these and gives us an even to likely chance of getting one of these.
E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.
Answer:
f(x) = -2x+5
f(x+h) = -2x -2h +5
g(x) = -4x-2
g(x+h) = -4x -4h -2
h(x) = 4x^2+1
h(x+h) = 4(x+h)^2 +1 = 4x^2 +8xh + 4h^2 +1
Q(x) = -3x^2 +4
Q(x+h) = -3(x+h)^2 +4 = -3x^2 -3h^2 -6xh + 4