Answer:
2 1/2
Step-by-step explanation:
The answer is 2 1/2 simply because 3/4 minus 1/4 equals 2/4 which is equivalent equivalent to 1/2. The you would subtract 3 by 1 which is 2 so the answer is 2 1/2
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>
I'd say the 3rd one. I haven't done this stuff in 2 years ... me forgot. But if it's not right, then the 1st one!
I want you to know you're smart and you can do this! Good luck!
Answer:
5x+4y=49.50, where:
x is the price per sub
y is the price per drink
Step-by-step explanation:
From the information provided, you can say that the result of adding up the price per sub for the quantity plus the price per drink for the quantity is equal to 49.50 that is the total amount spent, which can be expressed as:
5x+4y=49.50, where:
x is the price per sub
y is the price per drink
Answer:
Leg of an isosceles right triangle is 7.99 long.
Step-by-step explanation:
Given:
Length of the hypotenuse =11.31
To find:
Length of the leg of an isosceles right triangle =?
Solution:
According to Pythagorean's Theorem, we have
-----------------------------(1)
Here were are given as isosceles triangle, so the two sides will be of same length
So equation 1 can be rewritten as
Substituting the value of hypotenuse
a = 7.99
