2x+3y=6
-4x+3y=12
The solution is:
Step-by-step explanation:
Given
2x+3y=6 Eqn 1
-4x+3y=12 Eqn 2
Subtracting equation 2 from equation 1
Putting x=-1 in equation 1
The solution is:
Keywords: Linear equations
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The total cell phone bill of Jenya for a month is $102.50.
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Jenya paid $40 per month for a cell phone plus $1.25 for each international text message she sent.
Fixed bill for the month = $40
Cost for each international text message = $1.25
Total number of messages = 50
Total cost for the international text message = $1.25 × 50
= $62.50
Total cost of bill for the month = $62.50 + $40
= $102.50
Hence the total phone bill for the month is $102.50.
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-6g + 3g + 12 > -18
A.g<2
B.g> 2
C.g<10
D.g> 10
Answer:
g < 10
Step-by-step explanation:
-6g + 3g + 12 > -18
Combine like terms
-3g +12 > -18
Subtract 12 from each side
-3g+12-12 > -18-12
-3g > -30
Divide each side by -3, remembering to flip the inequality
-3g/-3 < -30/-3
g < 10
I'm not sure, so I won't answer it, in case you get it wrong
(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)