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natali 33 [55]
3 years ago
10

Find an integer value of b that makes x^2 + bx - 81 factorable.

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

  1. we can find two terms which when multiples = -81x²,   <em> ( x² * - 81 = -81x² ) </em>
  2. and when add = bx

possible factors:

  1. -1x * 81x = -81x²   (Accepted)
  2. 1x * -81x= -81x²    (rejected)
  3. 9x * -9x = -81x²    (rejected)
  4. -9x * 9x = -81x²    (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

     b   = 80

<h3>The equation is x² + 80x - 81</h3>

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Answer:

Thanks for asking!

Step-by-step explanation:

The volume of the prisim is 26.25

8 0
3 years ago
Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive,<em> the translation is to the left.</em>

If N is negative, <em>the translation is to the right.</em>

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive,<em> the translation is upwards.</em>

If N is negative, <em>the translation is downwards.</em>

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

<em>The shift up of 4 units is written as:</em>

<em>g(x) = f(x) + 4</em>

<em>The shift of 2 units to the left is written as:</em>

<em>g(x) = f(x + 2) </em>

<em>These two together give:</em>

<em>g(x) =  f(x + 2) + 4.</em>

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

3 0
2 years ago
Please please please please help
Whitepunk [10]

Answer:

its B

Step-by-step explanation:

7 0
3 years ago
In a large on-the-job training program, half of the participants are female and half are male. In a random sample of six partici
Radda [10]

Answer: 0.9844

Step-by-step explanation:

given data:

sample size n = 6

It’s assumed that half the population are male and the remaining half are females

F = 1/2

M = 1/2

the probability that the investigator would draw altleats one male

P ( x ≥ 1 ) =

= 1 - ( 0.5 ) ^ 6

= ( 0.5 )^6

= 0.9844

5 0
3 years ago
What is the equation of the graph below?
wlad13 [49]

<u>Answer:</u>

<u>y=cos(x+\pi )</u>

<u>Step-by-step explanation:</u>

From the graph, we can see that y = -1 when x  = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = cos(x + pi/2) = cos(0 + pi/2) = 0

2. y = cos(x+2pi) = cos(0+2pi) = 1

3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5

4. y = cos(x+pi) = cos(0+pi) = -1


Therefore, the equation of this graph is y = cos(x+pi) = cos(0+pi) = -1.



5 0
3 years ago
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