Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
Part 1)
we have
------> equation A
------> equation B
Multiply by 
the equation A
------> equation C
Multiply by 
the equation B
-------> equation D
Adds equation C and equation D
therefore
<u>the answer Part 1) is the option A </u>
Part 2)
we have
------> equation A
Simplify Divide by 
both sides
------> equation B
the lines A and B are parallel lines, because the slope m is equal
so
The system has no solution
therefore
<u>the answer Part 2) is the option D</u>
There is no x value as there is no solution to the system.
Part 3)
we have
------> equation A
------> equation B
substitute equation B in equation A
![4x+2[x-3]=6](https://tex.z-dn.net/?f=4x%2B2%5Bx-3%5D%3D6)
therefore
<u>the answer part 3) is the option D</u>
Part 4)
Let
x---------> The number of one-step equations
y---------> The number of two-step equations
we know that
-------> equation A
------> equation B
substitute equation A in equation B
![3[1,120-y]-2y=1,300](https://tex.z-dn.net/?f=3%5B1%2C120-y%5D-2y%3D1%2C300)
therefore
<u>the answer part 4) is the option D</u>
Answer:
LCD = 30
3/10 = 9/30
2/3 = 20/30
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 30 because 10 x 3 is 30 and 3 x 10 is 30
2) Next, multiply the numerators with the same number you multiplied with the denominator
3 x 3 = 9
2 x 10 = 20
3) Therefore, the answers are:
3/10 = 9/30
2/3 = 20/30
Hope this helps!
Answer:
f(1) = -4
Step-by-step explanation:
Given that,
f(x) = 2x-6
We need to find the value of f(1).
Put x = 1 in the above expression.
f(1) = 2(1)-6
= 2-6
= -4
So, the value of f(1) is equal to -4.
