Answer:
x = -7
x = 5
Step-by-step explanation:
The standard form of quadratic equations is
Ax^2 + Bx + C = 0
The factors need to multiply together to be C and add together to be B.
The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.
The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.
x + 7 = 0
-7 -7 Subtract 7 from each side to solve
x = -7
x - 5 = 0
+5 +5 Add 5 to each side to solve
x = 5
3x−2y=12;−3x+8y=−6
Step: Solve3x−2y=12for x:
3x−2y=12
3x−2y+2y=12+2y(Add 2y to both sides)
3x=2y+12
3x
3
=
2y+12
3
(Divide both sides by 3)
x=
2
3
y+4
Step: Substitute
2
3
y+4forxin−3x+8y=−6:
−3x+8y=−6
−3(
2
3
y+4)+8y=−6
6y−12=−6(Simplify both sides of the equation)
6y−12+12=−6+12(Add 12 to both sides)
6y=6
6y
6
=
6
6
(Divide both sides by 6)
y=1
Step: Substitute1foryinx=
2
3
y+4:
x=
2
3
y+4
x=
2
3
(1)+4
x=
14
3
(Simplify both sides of the equation)
Answer:
x=
14
3
and y=1
Answer: c = 149 + 0.02p
Step-by-step explanation:
From the question,
P = purchase price of the boat
C = Mick's commission
From the scenario in the question, the commission earned by Mick will be:
c = 149 + (2% × p)
c = 149 + (0.02p)
c = 149 + 0.02p
Split the second term in 3m^2 + 5 - 8m into two terms
3m^2 - 3m - 5m + 5
Factor out the common terms in the first two terms, then in the last two terms.
3m(m - 1) - 5(m - 1)
Factor out the common term m - 1
<u>(m - 1)(3m - 5)</u>
Answer: CORRECT
Step-by-step explanation: Because any negative number will be positive when multiplied together but since there are 3 negative number the 3rd negative will always negate the positive so therefore Delila is correct
