Make f(x) = y
f(x)= -1/8 (4) ^x+3 +6
y = -1/8 (4) ^x+3 +6
y-intercept is when the function crosses the y-axis, and the y-axis is always where x = 0
y = -1/8 (4) ^x+3 +6
or was the equation instead:
???????
Because in that case it's totally different, so here goes...
Therefore, yes it is correct that the y-intercept lies at the point (0, -2)
Laura has a total of 13 books. To pick 3 out of this 13 books is expressed as 13C3 which is equal to 286. Now to pick a science and 2 mathematics books may be expressed as,
(4C2) x (6C1) = 36
The probability is the quotient when 36 is dived by 286. The answer is 18/143 which is approximately equal to 0.126.
Answer:
x=12
Step-by-step explanation:
11x - 17 + 65 = 180
11x + 48 = 180
<u> -48 -48 </u>
<u>11x </u>= <u>132</u>
11 11
x = 12
The cube root of 2 is irrational. The proof that the square root of 2 is irrational may be used, with only slight modification. Assume the cube root of 2 is rational. Then, it may be written as a/b, where a and b are integers with no common factors. (This is possible for all nonzero rational numbers). Since a/b is the cube root of 2, its cube must equal 2. That is, (a/b)3 = 2 a3/b3 = 2 a3 = 2b3. The right side is even, so the left side must be even also, thatis, a3 is even. Since a3 is even, a is also even (because the cube of an odd number is always odd). Since a is even, there exists an integer c such that a = 2c. Now, (2c)3 = 2b3 8c3 = 2b3 4c3 = b3. The left side is now even, so the right side must be even too. The product of two odd numbers is always odd, so b3 cannot be odd; it must be even. Therefore b is even as well. Since a and b are both even, the fraction a/b is not in lowest terms, thus contradicting our initial assumption. Since the initial assumption cannot have been true, it must <span>be false, and the cube root of 2 is irrational.
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Hey there!
Let's take the number of cows in the field as 'c'.
Then, the number of horses in the field is = c + 2 [2 <em>more</em> horses than cows]
Total number of animals on the field = 16.
So, equation becomes...
c + c + 2 = 16
<u>2c + 2 = 16</u>
Hope it helps ya!
