Answer:
The second equation is correct.
y=2.25x + 4
Step-by-step explanation:
We can systematically eliminate the others.
For equation 3 and 4, 6.5*2 and 12*x is already bigger than 8 of the first set of numbers.
For equation 1, 2*x+8.5 is also bigger than 8 from the first set.
Plugging in the values to equation 2, we always get the correct cost.
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:A
Step-by-step explanation:
just took it
Givens
Work week = 40 hours
Paid 7.50 an hour.
Sells 6300 worth of goods.
Equation
Take home pay = Sales * 5% + 7.50 * number of hours.
Sub and Solve
Take home pay = 6300 * 5% + 7.50 * 40
Take home pay = 6300 * 5/100 + 7.50 * 40
Take home pay = 315 + 300
Take home pay = 615 dollars.
Answer 615 <<<<
I think that a linear equation can have no solution, one solution, or infinitely solutions. It just depends on what is the equation. That's what I think
