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4 years ago

1: Explain Why (4,1) is not a solution to the equation y=3x+1

2 answers:

8 0

1. (4,1) is not a solution because when u sub it into the equation, it does not come out correct. It would be correct if it was (1,4).

2. C = 2.50d.....where C is the cost and d is the number of drinks bought. And if u pick any number for d, then u can solve for the cost (C).

Amiraneli [1.4K]4 years ago

8 0

Answer:

1. The point (4,1) is not a solution for the equation.

2. $y=2.50x$

Step-by-step explanation:

1. We are asked to explain why (4,1) is not a solution to the equation $y=3x+1$ .

We can see that right side of equation would be greater than left side, when we will substitute coordinates of point (4,1).

Let us substitute coordinates of point (4,1) in our given equation as:

$1=3(4)+1$

$1=12+1$

$1=13$

Therefore, the point (4,1) is not a solution for the equation.

2. We have been given that drinks at the fair cost $2.50.

Let x represent number of drinks, so cost of x drinks would be $2.50x$ .

The total cost (y) of x drinks would be $y=2.50x$ .

Therefore, the equation $2.50x$ represents the given equation.

Table:

Number of drinks Total cost

1 $2.50

2 $5.00

3 $7.50

4 $10.00

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SHOW ALL WORK BUT KEE IT SIMPLE AND EASY TO UNDERSTAND:)

7nadin3 [17]

To do this problem, you need to use a process called completing the square. Let me explain:

To complete the square on the function f(x) = x² + 8x +13, first group the first two terms in ( ) and leave some space at the end as follows:
f(x) = (x² + 8x ) + 13 Now our next step is to fill in the space and adjust our expression on the right hand side of the function. To do this, we take half of the middle number 8 and then square it: so 4² = 16 and we fill in our space inside the ( ) with this value 16;
f(x) = (x² + 8x + 16) + 13 now what we have done is to increase the overall value of our expression on the right by 16, but we want the overall value to remain the same. To fix this we simply need to subtract 16 at the end like this: f(x) = (x² + 8x + 16) + 13 -16 we can simplify and get the following.
f(x) = (x² + 8x + 16) - 3 At this point we're almost done.. All we need to do now is to rewrite the what is in the parentheses in a slightly different form. Here is what it will look like: f(x) = (x + 4)² - 3 notice all I did was take the sum of the square root of x² and the square root of 16 originally in the ( ) to get then new expression inside the ( ) and then square that ( )²

Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short. In general the form is f(x) = a(x - h)² + k don't worry about the 'a' for now.. you might see that in our case it is just 1 and will not effect our equation. You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

So you can see that our vertex is (-4,-3)
Hope this is helpful, but if you have questions let me know.

5 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$