Answer:
y=1/3x+5/3
Step-by-step explanation:
y=1/3x+b
1=1/3(-2)+b (plug in ya points)
1=-2/3+b
5/3=b
y=1/3x+5/3
Answer:
The number of nickels is 15
The number of Dimes is 3
Step-by-step explanation:
Let the number of dimes Christine has be d
The number of nickels with christine be n
Then the number of Nickels Christine has will be
n = 5d ----------------------------------(1)
Now The total value of both dimes and nickels is = $1.05
This can be represented as
5n +10d = 105 (in cents)
From eq(1)
5(5d) + 10d = 105
25d+10d = 105
35d = 105

d = 3----------------------------------(2)
Substituting (2) in (1), we get
n = 5(3)
n = 15
Answer:
x = 50
R = $2500
Step-by-step explanation:
Given in the question a quadratic equation,
−x² + 100x
To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x
The value of -b/2a tells you the value x of the vertex of the function
−x² + 100x
here a = -1
b = 100
Selling price = -(100)/2(-1)
= 50
R = −(50)² + 100(50)
= 2500
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Answer:
24
Step-by-step explanation:
15 =4
15x 6=90
4x6=24