Hi there!
We can use the discriminant of the quadratic formula to find the number of real solutions to this (or any other quadratic) equation.
The discriminant can be found by plugging in the data from the equation into the following formula:

When we fill in the data from the question we get

Since d < 0 the equation has zero real solutions.
Answer: The answer is D
Step-by-step explanation:
Convert each mixed number to an improper fraction
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Convert 6&1/2 to an improper fraction
6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
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Do the same for 9&1/4
9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
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Now multiply the improper fractions 13/2 and 37/4. Multiply straight across
(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
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The last step is to use long division to find the mixed number equivalent of 481/8
Or we an say
60*8 = 480
So 60*8+1 = 480+1
which means
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8
Making the final answer to be choice C
Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
Answer:
400% of 5 = 5 x 400/100 = 20.
20 > 10 and 20 < 100
Hope this helps!
:)
Answer:
20x² - 10x - 30
Step-by-step explanation:
Height = 5
Width = 4x² - 2x - 6
Area of rectangle = length × breadth
Area of triangle = height × width
Area = 5 × (4x² - 2x - 6)
Area = 20x² - 10x - 30
Area of the rectangle is 20x² - 10x - 30