Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
1/5 gallon of water in each bottle
Step-by-step explain:
4/5 = 0.8
0.8/4 = 0.2 or 1/5 gallons
Answer:
(a) 0.0256
(b) 0.2944
Step-by-step explanation:
For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.
Additionally, nCx is calculated as:

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.
Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=0.0256
For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.
Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=0.2688
So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:
0.0256 + 0.2688 = 0.2944
Side length = 16.7 cm
Solution:
Perimeter of a square given = 66.8 cm
In a square four sides are equal.
The perimeter of a square = 4 × side
⇒ 4 × side = 66.8 cm
Divide both sides of the equation by 4 to equal the expression.
⇒ side = 66.8 ÷ 4
⇒ side = 
⇒ side = 16.7 cm
Hence, the side length of the square is 16.7 cm.
Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.