Answer:
y = x⁴- 5x² + 4
y = x(x + 3)(x - 2)
Step-by-step explanation:
1). y = x⁴- 5x² + 4
= x⁴- 4x² - x² + 4
= x²(x² - 4) - 1(x²- 4)
y = (x² - 1)(x² - 4)
y = (x - 1)(x + 1)(x - 2)(x + 2)
Therefore, zeros of this polynomial are,
x = -2, -1, 1, 2
From the given graphs, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.
So the graph (1) represents the polynomial → y = x⁴- 5x² + 4
2). Second graph shows the x-intercepts at x = -3, 0, 2
Since, y = x(x + 3)(x - 2) is the polynomial with x intercepts at x = -3, 0, 2
Therefore, y = x(x + 3)(x - 2) represents the second graph.
The 2 horsepower is equal to 1492 watts.
Given that horsepower and watts are units of measure of power and they are directly proportional such that 5 horsepower is equal to 3730 watts.
Horsepower is a unit of measurement of power, or speed at which work is done, usually related to the power of an engine or motor. power is calculated by multiplying force (in pounds) by speed (in feet per second).
Let H= horsepower, W=watt
As we are given horsepower is directly proportional.
So, the relation is W=kH where k is constant.
Here, H=5 and W=3730.
By substituting the value of W and H we will find the value of k, we get
3730=k×5
3730/5=k
746=k
Now, substituting the value of k in relation and we get
W=746H
We have to find the power of 2 horsepower.
So, we will substitute H=2 in above relation, we get
W=746×2
W=1492 watts.
Hence, the 2 horsepower is equal to 1492 watts when 5 horsepower is equal to 3730 watts.
Learn more about horsepower from here brainly.com/question/1335872
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Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
