Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
Answer:
$1.21
Explanation:
What we know:
- $5.88=3 pounds of apples
- price went up by $0.75 per pound
First, we divide $5.88 by 3 to find out how much one pound of apples cost.
5.88/3
=1.96
Therefore, the new price of apples per pound is $1.96.
Because the old price of apples per pound was $0.75 cheaper, we subtract 0.75 from 1.96.
1.96-0.75
=1.21
Therefore, the old price of apples per pound was $1.21.
I hope this helps! Please comment if you have any questions.
Answer:
v = 1
Step-by-step explanation:
6(v+2) - 7v = 6 + 5v
open Parentheses
6*v=6v
6*2=12
New equation:
6v + 12 - 7v = 6 + 5v
simplify
12 - v = 6 + 5v
match like terms
6 = 6v
solve
1 = v
Answer:
Multiply it like a normal number.
Step-by-step explanation:
Take the point away in both numbers
line the numbers up and add the zero at the end of 28
multiply
add the decimal point back after solved (3 decimal points)
818
x280
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Answer:
(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)