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Anastaziya [24]
3 years ago
11

Simplify the following expression: 2(3 + a) + 6(a + 2)

Mathematics
2 answers:
mote1985 [20]3 years ago
6 0
I believe the answer is C
iris [78.8K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

2(3+ a) + 6(a+2)

6+ 2a + 6a + 12

8a + 18

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What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
4 years ago
Brainliest + Points<br><br> Can you please explain why choice A. is correct?
tankabanditka [31]

Answer: because that is what the slope would look like

Step-by-step explanation:

when you graph this, you have a point at 2, 4 and 0, 8. when you go to 0, 8 and count down four so you now have to move to the right to get to 2, 4. You then move to the right 2 spaces. so, you moved (-4, 2) since this can be simplified, you then have (-2, 1) which is equal to -2. If this still doesnt make sense, go to Desmos.com and put (2,4) click the plus button then add expression then type (0,8). Count down -4 and over 2. Hope this helps

6 0
3 years ago
Which are the coordinates of the midpoint of the segment connecting(15,-11) and (-10,10)
saveliy_v [14]

Answer:

Step-by-step explanation:

A(x1,y1)     B(x2,y2)    

M(x,y)  =>   x=\frac{x1+x2}{2} and y=\frac{y1+y2}{2}

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

A(15,-11)   B(-10,10)

M(\frac{15-10}{2},\frac{-11+10}{2})=(-\frac{5}{2},-\frac{1}{2})

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Magnetic power and then u can do like bold hehe
4 0
3 years ago
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A right rectangular prism is shown. Find the surface area of this prism. A) 80 square feet B) 164 square feet C) 196 square feet
WITCHER [35]
It would be better if you put a picture next time but i’ll just cauclate a normal rectangle to get the normal answer which is C) 196 square ft
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3 years ago
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