Answer:
0.583
Step-by-step explanation:
You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).
There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.
7/12 simplifies to 0.583.
You have a 0.583% chance of picking either a nickel or a dime.
Answer:
$20 per day with a $50 fee
Step-by-step explanation:
For 1 day, the gold fee is $70. For 2 days, the gold fee is $90. This can be written as the ordered pairs (1, 70) and (2, 90).
To find the daily fee, we will find the slope between the points:
Next we will use point-slope form:
y-y₁ = m(x-x₁)
y-70 = 20(x-1)
Use the distributive property:
y-70 = 20(x)-20(1)
y-70 = 20x-20
Add 70 to each side:
y-70+70 = 20x-20+70
y = 20x+50
This means the fee is $50.
29.
As , .
This can be easily verified by looking at the graph (graph of a quadratic equation).
30.
The growth of a population is not linear, it's exponential.
31.
Exponential growth > polynomial, so .
35.
The question is asking V(t) for t = 40.
36.
The point of symmetry of a quadratic equation is at its vertice:
The line is x= 3.
Answer:
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
Step-by-step explanation:
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6