Step-by-step explanation:
working g and everything is above
hope its of help
Is (4,9) a solution to this system of inequalities? y < x + 3 and y > 2x + 1
1 answer:
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Answer with explanation:
→Number of Integers from 1 to 100
=100(50 Odd +50 Even)
→50 Even =2,4,6,8,10,12,14,16,...............................100
→50 Odd=1,3,,5,7,9,..................................99.
→Sum of Two even integers is even.
→Sum of two odd Integers is odd.
→Sum of an Odd and even Integer is Odd.
(a)
Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,
=Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,
=4900 ways
(b)
Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,
=Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,
=2500 ways
Answer:
Step-by-step explanation:
In order to solve all of these problems, you have to first create an equation. The typical format for an equation looks like this: y = mx + b
m is the slope and b is the y-intercept.
In order to create an equation, you have to find the slope and y-intercept of the function. You can find the slope using this expression: To find the y-intercept, you use a known point and the slope in the equation to solve for b.
Now that we know this, we can solve the problems.
1a.
To create the equation, let's find the slope using points (1, 15) and (2, 30)
= 15/1 = 15
The equation now looks like this: h = 15w + b
Let's use the point (1, 15) from the table to find b
15 = 15(1) + b
15 = 15 + b
subtract 15 from both sides the isolate the b
0 = b
There is no y-intercept for this equation, so the equation looks like this:
h = 15w
1b. We know the equation is h = 15w, so all we have to do is input the 9 into the equation.
h = 15(9)
h = 135
2a. We'll use the points (1, 8) and (2, 16) to find the slope
= 8/1 = 8
The slope is 8.
Since it's impossible to sell any houses in 0 months, we already know that there is no y-intercept, so the equation looks like this:
h = 8m
2b. Put the value of 15 inside the equation and solve.
h = 8(15)
h = 120
3a. We'll use the points (1, 35) and (2, 70) to find the slope.
= 35/1 = 35
The slope is 35.
It's impossible to see any movies in 0 months, so there is no y-intercept. The equation looks like this:
c = 35m
3b. We know that there are 12 months in a year, so put 12 into the equation and solve.
c = 35(12)
c = 420
4a. We'll use the points (1, 8) and (2, 16) to find the slope
= 8/1 = 8
The slope is 8.
It's impossible for there to be a cost if there are no hats, so the y-intercept must be 0. The equation looks like this:
c = 8h
4b. Put the 30 hats into the equation and solve.
c = 8(30)
c = 240