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Alex787 [66]
3 years ago
7

What is the factores form of 4x^2+23x-72

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer:

4x2 + 23x – 72  

= (4x - 9)(x+8)

Step-by-step explanation:

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This question is about finding the slope of the tangent line to an inverse function. I would love to know if my answer of 1/5 is
Nikolay [14]
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.

Here's another way to look at it:

When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.

For any tangent on g(x), its slope is m = (dy)/(dx)

The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here. 

So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
7 0
3 years ago
25 penalties decreased by 32%?
SCORPION-xisa [38]
Kut 32% off  25

100-32=68% left

=25*0.68

=17
6 0
3 years ago
I need help please last question of test
Lisa [10]

Answer:

The slope in this graph is 1

6 0
3 years ago
Read 2 more answers
The switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experie
trasher [3.6K]

Answer:

2.35 calls

Step-by-step explanation:

The presented scenario can be modeled by a Poisson distribution with an average number of calls (μ) of 5.5 during the noon hour on Mondays.

Therefore, the standard deviation for the number of calls received, X, is given by:

\sigma =\sqrt \mu\\\sigma =\sqrt5.5\\\sigma =2.35\ calls

The standard deviation of X is 2.35 calls.

3 0
3 years ago
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3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

3x^3+21x^2+36x=0

Taking 3x common.

3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0

x = 3

x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0
3 years ago
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