So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: 
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this as 
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is 
. Applying that here, we have 
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
</u></h3>
Answer:
256
Step-by-step explanation:
16 ×16= 256
Hope it works out for you
Answer:
y = 6
Step-by-step explanation:
If x varies inversely proportional as y.
, k is constant of proportionality
or
k = xy
When x = 3 and y = 10
k = 3×10
k = 30
Put x = 5,
So, the value of y is 6 when x is 5.
The area of the figure is 11. 27 cm²
<h3>How to find the area</h3>
The figure given is a parallelogram
Note that the formula for area of a parallelogram is given as;
Area = base × height
Base = 2. 3cm
height = 4. 9cm
Area = 2. 3 × 4. 9
Area = 11. 27 cm²
Thus, the area of the figure is 11. 27 cm²
Learn more about a parallelogram here:
brainly.com/question/970600
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Answer:
1. We assume, that the number 33.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 33.39 is 100%, so we can write it down as 33.39=100%.
4. We know, that x is 13% of the output value, so we can write it down as x=13%.
5. Now we have two simple equations:
1) 33.39=100%
2) x=13%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
33.39/x=100%/13%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 13% of 33.39
33.39/x=100/13
(33.39/x)*x=(100/13)*x - we multiply both sides of the equation by x
33.39=7.6923076923077*x - we divide both sides of the equation by (7.6923076923077) to get x
33.39/7.6923076923077=x
4.3407=x
x=4.3407
now we have:
13% of 33.39=4.3407
Step-by-step explanation:
