1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y<u>^3</u> - 4y^2 + y + y<u>^3</u>, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x<u>^3</u> - 3x^2 + x + 3x<u>^3</u>, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x
Answer:
x= 7
Step-by-step explanation:
The equation is 8+4= 2(x-1)
Distribute into the parenthesis.
8+4= 2x-2
Now, add.
12= 2x-2
Add 2 to both sides.
12= 2x-2
+2 +2
Then, divide by 2 to both sides to isolate the variable.
<u>14</u>= <u>2x</u>
2 2
x=7
First you open 2 parenthesis with x in each one:
(x )(x )=0
Then, you place the sign of the second term (the x term) in the first parenthesis.
(x+ )(x )=0
Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.
(x+ )(x- )=0
You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)
(x+6)(x-3)=0
Therefore,
x+6=0 or x-3=0
x=-6 or x=3
Your roots are -6 and 3.
Answer:
Total possibilities = 16
Probability of a dime of the first draw is 10/16 = 5/8
Probability of a penny on the second draw = 1/15
Probability of both = 5/8 * 1/15 = 1/24
