Find the slope (-2, -6) (-4, -7) SHOW STEP BY STEP
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Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
<em>-56 = a(3²) + b(3) + c</em>
-56 = 9a + 3b + c 1)
<em>-16 = a(-1²) + b(-1) + c</em>
-16 = a - b + c 2)
<em>-51 = a(-2²) + b(-2) + c </em>
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
P(5 or 8) = =
or 16.666%.
Step-by-step explanation:
Step 1; To determine the chances of a particular event to occur, we divide the number of outcomes that are favorable by the number of possible outcomes. In this case, the favorable outcomes are those which have both 5 and 8 in their 2 digit number and the number of outcomes is a count of all the ways in which the four numbers 6, 5, 1 and 8 can be used to form any two-digit numbers.
Step 2; From the tree diagram, we infer that there are two numbers that can be formed with both 5 and 8 i.e. 58 and 85. The total number of possible outcomes is 12 i.e. 65, 61, 68, 56, 56, 58, 16, 15, 18, 86, 85 and 81.
So P(5 or 8) = =
=
= 0.1666 × 100 = 16.66%.