Answer:
2nd answer option
Step-by-step explanation:
the domain is the interval or set of valid x values. the range is the same for valid y values.
so, what is the smallest x value we see in the functional graph ?
x = 0
there is no functional value for any x smaller than that.
and then the function goes on and on to the right in all eternity. that means it goes to infinity.
so, domain = [0, infinity)
please consider the round bracket at the end, because "infinity" is not a number.
now for the range and the y values.
in this case I start to ask for the largest y value.
y = 4
for no x value do we get a larger y value.
but it goes down and down in all eternity, going also to infinity, but -infinity (down is negative for y).
so, the range = (-infinity, 4]
"-infinity" is also not a number and therefore not included (hence the round bracket).
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
Answer:
B :)
Step-by-step explanation:
The mixture will test negative if the 6 individuall samples are negative.
Ther probability that one sample is negative is independent of the probabilities of the other samples.
Then, the probability of the six combined events (all negative) is equal to the product of the probabilities for each sample (each negative).
The probability for one sample to be negative is 1 - 0.11 = 0.89.
Then, the combined probability is [0.89]^ 6 = 0.497 ≈ 0.50
Answer: 0.50
