Answer:
-5/3
Step-by-step explanation:
To solve for slope we use the slope formula which is y2-y1/x2-x1.
For this problem I chose the points: (-5,10) and (-2,5)
-5 is x1, 10 is y1, -2 is x2 and 5 is y2
We now plug in the points into the slope formula:
5-10/-2-(-5)= -5/3
The denominator of any fraction cannot be equal to zero. This is because if the denominator is equal to zero, the, the fraction itself would be "undefined".
Applying this to the above mentioned problem, we will find two denominators including the term "x". These two denominators cannot be equal to zero.
First fraction:
1/x ..................> x cannot be equal to zero
Second fraction:
1/(x^2 - 3x -4) = 1/(x - 4)(x + 1)
The denomination will be equal to zero if x = 4 or x = -1
........> x cannot be equal to 4 or -1
Based on this, the restrictions on x are as follows:
x cannot be equal to 0,4 or -1
To stay within budget, she must use 3.9 gigabytes.
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.
First, we need to establish the total cost formula:
Total cost= 54.5 + 5*x
x= number of gigabytes
Now, we isolate x:
74= 54.5 + 5x
19.5/5= x
3.9= x
To stay within budget, she must use 3.9 gigabytes
learn more of equation here
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Answer: A. intersecting
Step-by-step explanation:
1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.
2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.
3. Therefore, the answer is the option A: Intersecting.
Answer:

Step-by-step explanation:
The formula of conditional probability is:

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

Then plugging them into the formula of conditional probability we get:

Then we simplify and we get:

We just plug the given info and we get:
