In the given equation the value of x is 4.
According to the statement
we have given that the a equation and we have to solve that equation for x and find the value of the x.
So, For the value of x in given statement:
The given equation is
x⁴ = 256
we know that the 2 changes into the square root after rearrangement in the equation so, the equation become
(x²)² = 256
Now,
(x²) = √256
Then equation becomes
(x²) = 16
This is because the square root of the 256 is 16.
Now another square changes into square root then
x = √16
And
x = 4
So, In the given equation the value of x is 4.
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Answer:
This is a rectangular prism
Step-by-step explanation:
As you can see from my attachment, this figure models a rectangular prism when put together :)
Answer:
1 toast costs $0.30 and 1 egg cost $0.60
Step-by-step explanation:
Let price of 1 egg be and price of 1 toast be
<u>"$1.50 for 2 eggs and one piece of toast":</u>
We can write
<u>"$.90 for one egg and one piece of toast":</u>
We can write
Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:
Now using the value of e (0.6) and putting it back in the first equation, we will get t:
Hence, 1 toast costs $0.30 and 1 egg cost $0.60
Both <em>Px</em> + <em>Qy</em> = <em>R</em> and <em>Tx</em> + <em>Uy</em> = <em>V</em> have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that <em>x</em> = 2 and <em>y</em> = 9 makes both equations true.
When you add these equations together, you get
(<em>Px</em> + <em>Qy</em>) + (<em>Tx</em> + <em>Uy</em>) = <em>R</em> + <em>V</em>
→ (<em>P</em> + <em>T</em> ) <em>x</em> + (<em>Q</em> + <em>U</em> ) <em>y</em> = <em>R</em> + <em>V</em>
so the first option is equivalent.
When you subtract the first equation from the second, you get
(<em>Tx</em> + <em>Uy</em>) - (<em>Px</em> + <em>Qy</em>) = <em>V</em> - <em>R</em>
→ (<em>T</em> - <em>P</em>) <em>x</em> + (<em>U</em> - <em>Q</em>) <em>y</em> = <em>V</em> - <em>R</em>
so the third option is also equivalent.