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nata0808 [166]
3 years ago
5

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=7/x^2-16

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

Answer:

  (f\cdot g)(x)=\dfrac{7x-21}{x+4}

Step-by-step explanation:

(f\cdot g)(x)=f(x)\cdot g(x)=(x^2-7x+12)\cdot\dfrac{7}{x^2-16}\\\\=7\dfrac{(x-3)(x-4)}{(x+4)(x-4)}=\dfrac{7(x-3)}{x+4}\\\\=\dfrac{7x-21}{x+4}

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A light can shine blue (B), red (), or yellow (Y) Every second the color changes and is recorded. Estimate the probability the n
Naily [24]

Answer:

The probability that the next color will be red is: \dfrac{2}{3}

Step-by-step explanation:

The probability of an event is defined as:

Probability=(Total number of favourable outcomes)/(Total number of outcomes )

Here we have to find the probability that the next colour is red is given by:

<em>The recordings are given as:</em>

B  R  Y  R  R  R  R  Y  R  B  R  R

Number of outcomes that red will come up=8

Total number of outcomes=12

Hence the probability is given by:

Probability=\dfrac{8}{12}=\dfrac{2}{3}


7 0
3 years ago
What is the factored form of this expression?
gayaneshka [121]

Answer:

(x +  11 ) * ( x - 11)

Step-by-step explanation:

The expression:

x²   -    121

is a difference of squares

We notice that     √x²    =  x       and    √121    =   11

Then

( x²  -  121  )  =   ( x + 11 ) *  ( x  -  11 )

If we multiply

( x  +  11 ) *  ( x  -  11 )   =    x*x  - 11*x  +  11*x  - (11)*(11)

( x  +  11 ) *  ( x  -  11 )   =  x²  - 121

That is what we want to probe

7 0
3 years ago
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D because 144 /45% is 320 EZ hope i helped you drop a brianlest for me to pls


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3 years ago
The y-intercept in the linear equation −2y−4x−6=0 is _[blank]_. will give brainliest
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Answer:

-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.

Step-by-step explanation:

Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:

-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\

which tells us that the slope of the line is -2 and it y-intercept is "-3".

Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)

giving the x-coordinate 0 and the y-value where the line crosses the y-axis.

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