Hello!
To find the y-intercept of any given equation, you will need to substitute x for zero.
Also, to write the y-intercept as an ordered pair, it will look like (0, y), where y is the y-intercept, and x-value is zero because we substituted zero into all the x-values of the equation.
y = -(2^x) (substitute x = 0)
y = -(2^0) (any exponent raised to the power of zero is equal to one)
y = -(1) (simplify)
y = -1
Therefore, the y-intercept of the function y, is (0, -1).
Here you go
Hope it is clear enough
Please give brainliest !!!☺️
1) The population
Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.
2) The sample is every set of five cards that is selected by each student.
3) I think the sample is representative because all ther terms have the same probability of being selected.
Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
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Suppose the first integer is x, the second one is then x+1
reciprocals are 1/x and 1/(x+1)
1/x +1/(x+1)=-9/20
make the denominators the same:
1(x+1)/x(x+1) + 1x/x(x+1)=-9/20
simplify the demonstrator and add up the numerators: (2x+1)/(x^2+x)=-9/20
20(2x+1)=-9(x^2+x)
40x+20=-9x^2-9x
9x^2 +49x+20=0
factor: (1+5)(9x+4)=0
x=-5 or x=-4/9 (this one doesn't work because it is not an integer)
so the first integer is -5, the second integer is -4