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natka813 [3]
3 years ago
10

What are the excluded values? 7b^3/b^2-7b+10

Mathematics
2 answers:
ella [17]3 years ago
8 0

the answer is option B, b = 2 and 5

Marianna [84]3 years ago
7 0
The expression
7b^3/(b^2 - 7b + 10)
will become undefined if the denominator is equal to 0. To find the excluded values, we must then equate the denominator to 0.
So,
b^2 - 7b + 10 = 0

Solving the quadratic equation will give the roots:
b = 5 and 2

Therefore, the excluded values are b = 5 and 2.
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Does anyone know how to solve this?
Lilit [14]

The pattern is that the numbers in the right-most and left-most squares of the diamond add to the bottom square and multiply to reach the number in the top square.


For example, in the first given example, we see that the numbers 5 and 2 add to the number 7 in the bottom square and multiply to the number 10 in the top square.


Another example is how the numbers 2 and 3 in the left-most and right-most squares add up to the number 5 in the bottom square and multiply to the number 6 in the top square.


Using this information, we can solve the five problems on the bottom of the paper.


a) We are given the numbers 3 and 4 in the left-most and right-most squares. We must figure out what they add to and what they multiply to:

3 + 4 = 7

3 x 4 = 12

Using this, we can fill in the top square with the number 12 and the bottom square with the number 7.


b) We are given the numbers -2 and -3 in the left-most and right-most squares, which again means that we must figure out what the numbers add and multiply to.

(-2) + (-3) = -5

(-2) x (-3) = 6

Using this, we can fill the top square in with the number 6 and the bottom square with the number -5.


c) This time, we are given the numbers which we typically find by adding and multiplying. We will have to use trial and error to find the numbers in the left-most and right-most squares.


We know that 12 has the positive factors of (1, 12), (2,6), and (3,4). Using trial and error we can figure out that 3 and 4 are the numbers that go in the left-most and right-most squares.


d) This time, we are given the number we find by multiplying and a number in the right-most square. First, we can find the number in the left-most square, which we will call x. We know that \frac{1}{2}x = 4, so we can find that x, or the number in the left-most square, is 8. Now we can find the bottom square, which is the sum of the two numbers in the left-most and right-most squares. This would be 8 + \frac{1}{2} = \frac{17}{2}. The number in the bottom square is \boxed{\frac{17}{2}}.


e) Similar to problem c, we are given the numbers in the top and bottom squares. We know that the positive factors of 8 are (1, 8) and (2, 4). However, none of these numbers add to -6, which means we must explore the negative factors of 8, which are (-1, -8), and (-2, -4). We can see that -2 and -4 add to -6. The numbers in the left-most and right-most squares are -2 and -4.

4 0
3 years ago
Find the greatest common factor of 13x2 and 14x3
mamaluj [8]

Answer:

2

Step-by-step explanation:

13x2=26

14x3=42

Greatest common Factor of 26 and 42 is 2

8 0
2 years ago
Helppppppp I’m on a time crunch
amid [387]

Answer:

55M

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
As part of a screening process, computer chips must be operated in an oven at 125 °C. At the end of the cycle, the oven must be
Tasya [4]
I got 22.5 
 
tell me if i got it wrong or right
3 0
3 years ago
8.
Fantom [35]

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

8 0
1 year ago
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