Answer:
Two times at (-1,0) and (2.5,0)
Step-by-step explanation:
When the graph intersects or touches x-axis, y is equal to 0
so y = -2x^2 + 3x + 5
=> 0 = -2x^2 + 3x + 5
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = -2
b = 3
c = 5
substitute in the formula
x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)
x = [-3 +/- √(9 + 40)]/(-4)
x = [-3 +/- 7]/(-4)
x1 = (-3 + 7)/(-4) = 4/-4 = -1
x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5
so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times
Answer:
10 ways
Step-by-step explanation:
Find out the number of ways in which 6 flags can be arranged in a row if 3 red ,2 green, and 3 yellow ?
The above question can be calculated as:
= 6!/(3! × 2! × 3!)
= 720 /(6 × 2 × 6)
= 720/(72)
= 10 ways
Answer:
1/2 and 13/18 respectively
Step-by-step explanation:
even-number results:
2, 4 6 ,8, 10 and 12
the combinations of each result are respectively
1+3+5+5+3+1 = 18
The total number of combinations on a roll pair is 36
then the probability of obtaining an even result is:
p = 18/36 = 1/2 or 0.5
so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:
4 + 3 + 2 + 1 = 10
36 -10 = 26
the probability of obtaining a result less than nine is:
p = 26/36 = 13/18 or 0.72
Hope this helps
Answer:
The values of 4 decimals whose sum is 2.35 will be:
Step-by-step explanation:
Name 4 decimals whose sum is 2.35
Let us consider that
According to the condition, we have to determine
As we have to name 4 decimals whose sum is 2.35.
So, taking the certain values of a, b, c and d as
The sum of a, b, c and d will be:
Putting the values of a, b, c and d in the equation .
Therefore, the values of 4 decimals whose sum is 2.35 will be:
Keywords: decimal, sum
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Answer:
A?
Step-by-step explanation:
