The linear inequality wthat will not have a shared solution set with the graphed linear inequality is C. y > 5/3x + 2.
<h3>How to illustrate the information?</h3>
It should be noted that the graph shows the shaded area as y < 5/3x + 1.. The slope of the line will be 5/3.
The two parallel lines are the same. The graph of the inequality is also attached.
The complete question is:
Which linear inequality will not have a shared solution set with the graphed linear inequality?
A. y < 5/3x – 2
B. y < -5/3x + 1
C. y > 5/3x + 2
D. y > -5/3x + 2
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The first equation has to be the sum of hotdogs and hamburgers. Since a total of 300 <span>hamburgers and hotdogs was sold, the first equation is:
h+d=300
Now, the second equation is about the money. They say that EACH hamburger cost $2 and each hotdog cost $1. And, the total amount of money made was $420. So the second equation is:
2h+d=420
SO, overall, the system of equations is this:
h+d=300
2h+d=420
(option A is the answer)</span>
<h3>
Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability. - The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
Answer:
YOU JUST SID IT
Step-by-step explanation:
Answer:
D. right 4, down 8
Step-by-step explanation:
The usual transformations applied to functions are ...
f(x) ⇒ f(x -h) . . . . translation right h units
f(x) ⇒ f(x) +k . . . . translation up k units
f(x) ⇒ k·f(x) . . . . . vertical scaling by a factor of k; reflection over x-axis when k < 0
f(x) ⇒ f(x/k) . . . . . horizontal scaling by a factor of k; reflection over y-axis when k < 0
In the above, "scaling" will be expansion when |k| > 1, compression when |k| < 1.
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Your transformation is ...
x^2 ⇒ (x -4)^2 -8
f(x) ⇒ f(x -4) -8
This is translation with h=4 and k=-8. That is, it is translation right 4 units and down 8 units.
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<em>Additional comment</em>
Like much of math, it is all about matching patterns.
