Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
Answer:
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
Step-by-step explanation:
Hello!
Considering the dependent variable:
Y: Ductility in steel.
And the independent variable:
X: Carbon content of the steel.
The linear regression was estimated and a prediction interval was calculated.
The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=
]
In this case 95% prediction interval for Y/X=0.5
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
I hope it helps!
Answer:
Y= 2X
Step-by-step explanation:
The Y intercept is 0, therefore it would not have a "b" if it were in the form y=mx+b.
The line is going right, so it's positive. From 0, the line goes over 2, up 2, so the slope is 2.
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:

All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
= 12y
Hence,
The correct answer is Option 3: 12y
Answer:
X=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6−4x=6x−8x+2
6+−4x=6x+−8x+2
−4x+6=(6x+−8x)+(2)(Combine Like Terms)
−4x+6=−2x+2
−4x+6=−2x+2
Step 2: Add 2x to both sides.
−4x+6+2x=−2x+2+2x
−2x+6=2
Step 3: Subtract 6 from both sides.
−2x+6−6=2−6
−2x=−4
Step 4: Divide both sides by -2.
−2x/−2=−4/−2
Step 5 :Answer
X=2
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