Answer:
a). 3a² + 17a - 1
b). 4y (7y-6)
Step-by-step explanation:
in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4
Answer:
72
Step-by-step explanation:
Consecutive even integers have a difference of 2 between them
let n be the first integer, then
n + 2, n + 4, n + 6 are the second, third and fourth, then
n + 2 + n + 6 = 76 ( sum of second and fourth )
2n + 8 = 76 ( subtract 8 from both sides )
2n = 68 ( divide both sides by 2 )
n = 34
Thus the 4 even integers are
34, 36, 38, 40
sum of first and third = 34 + 38 = 72
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
Ummm... Are you ok? Please retype this lol
