Answer:
F(x) = 2/3x + 3
Step-by-step explanation:
I found this out by first starting off with the equation, f(x) = mx + b. (b is the y intercept, m is the slope.) The y intercept, where the line passes through the y axis, is 3. (f(x) = mx + 3) Now, look at rise over run, and see that the slope is 2/3, since for every one it goes over, it goes up 2/3. your final equation is f(x) = 2/3x + 3
This question states that Lake Lopez began at a depth of 515 inches, then increased by 82 inches, then decreased by 119 inches. To model this, we will use addition for the increase and subtraction for the decrease; this will signify a positive/negative change in the depth. This can be modeled by the expression below:
515 + 82 - 119
597 - 119
478
Therefore, the water depth at the end of the summer was 478 inches.
Hope this helps!
Answer:
10
30%
Step-by-step explanation:
In this case it would be the combination of 2 taken from 5.
That is, when n = 5 and r = 2
nCr = n! / r! * (n-r)!
replacing
5C2 = 5! / (2! * 3!)
5C2 = 10
Which means that the sample space is 10 possible combinations.
the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.
Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:
(3/5) * (2/4) = 0.3
So the probability that both are even is 30%
The absolute value of BOTH of those numbers is ' 1 '.
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Oh ! Wait just a second. Did you mean for the 1 and the -1 to be combined
in some way ? If that's what you had in mind, then you'll have to be more
specific. "And" is no mathematical operation that I know of.
Step-by-step explanation:
1 l = 22.5 km
125 l = 22.5 × 125 = 2812.5 km