Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
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The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
Simply collect like terms, numbers and or variables that have the same number and type of variable.
For example 15x^2 and 10x^2 are like terms. Circle the sign in front of the term to perform the correct operation.
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence

The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer:
So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.
Step-by-step explanation:
Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.
If f(x) is divided by x-c and
a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.
b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c
As shown in the figure
Since the number in the bottom row of the synthetic division alternate in sign
So f(x) has no real greater than 8