2x-5y= -5
-2/*x+2y=11
2x-5y= -5
-2x-4y= -22
+------------------
-9y=-27
y=3
x+2y=11
x+2*3=11
x=5
Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:

<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:

- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />

<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve

- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>
Answer:

Step-by-step explanation:
The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.
So, the probability that x customers will order a nonalcoholic beverage is:

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

Where:

So,
is equal to:

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886
Hello,
f(x)=2x^3+4x²-32x+18
f(3)=2*3^3+4*3²-32*3+18=12
Remainder =12
Answer:
The graph
Step-by-step explanation: