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Romashka-Z-Leto [24]
3 years ago
15

What are the excluded values of x for x+4/-3x^2+12x+36

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0

Answer:

c

Step-by-step explanation:

LekaFEV [45]3 years ago
3 0
I will assume that you meant:

(x+4)/(-3x^2+12x+36)  factor the denominator...

(x+4)/(-3(x^2-4x-12))

To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=-12 and j+k=b=-4 so j and k must be 2 and -6 and the factors are then:

(x+2)(x-6) so we are now left with:

(x+4)/(-3(x+2)(x-6))

The only restriction on this function is that division by zero is undefined, so x cannot equal -2 or 6
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A car is 165 inches long. A truck is 65% longer than the car.<br> How long is the truck?
zmey [24]

Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

4 0
3 years ago
Evaluate.4 2 – 6+2 +3 =
Charra [1.4K]
4^2-6\text{ / 2 + 3 = ?}4^2\text{ - }\frac{6}{2}\text{ + 3 = ? }\Rightarrow\text{ 16 - 3 + 3 = ?}

16 - 3 + 3 = 16

3 0
1 year ago
There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry
lorasvet [3.4K]

Answer:

  • 7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

  • P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

  • Combination of 15 strawberry juices chosen in two:

C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105

The total number of possible outcomes is:

  • Combination of 25 juices chosen in two:

C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300

Thus, the probability of randomly picking two strawberry juices is:

  • P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20

5 0
3 years ago
The car sales for the month by 15 salespeople are shown below. What is the frequency table that represents the data?
navik [9.2K]
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3 years ago
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
vitfil [10]
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Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
4 0
3 years ago
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