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Mariulka [41]
3 years ago
8

Find x in this proportion. x/3 = x+2/5 x =

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

<em>x = 3 \\ solution \\  \frac{x}{3}  =  \frac{x + 2}{5}  \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\  or \: 2x = 6 \\ or \: x =  \frac{6}{2}  \\ x = 3 \\ hope \: it \: helps</em>

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PLEASE HELP
nydimaria [60]

Answer:

y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)

Step-by-step explanation:

A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).

For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymtotes must look like ...

f(x) = (x+2)(x-1)/((x+3)(x-6))

This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.

The rational function may be ...

y = -2(x +2)(x -1)/((x +3)(x -6))

If you want the factors multiplied out, this becomes

y = (-2x^2 -2x +4)/(x^2 -3x -18)

6 0
3 years ago
What is Variable for m+3=-m -1
CaHeK987 [17]
You’re answer should be m= -2
3 0
2 years ago
-3x-4y=-12<br> Need to find the slope and y-intercept
CaHeK987 [17]
In form
ax+by=c
slope=-a/b
y intercpept=c/b

so

-3x-4y=-12
a=-3
b=-4
c=-12
slope=-(-3)/-4=3/-4=-3/4
yint=-12/-4=3

slope=-3/4
yint is 3
5 0
3 years ago
Read 2 more answers
What is the value of a in the equation 3a+b = 54, when b = 9?<br> 15<br> 18<br> 21<br> 27
Ket [755]

Answer:

15

Step-by-step explanation:

3a+9=54

-9        -9

3a=45

:3     :3

a=15

4 0
3 years ago
Read 2 more answers
Give the first 4 terms of a sequence who has the explicit formula an = 4n – 13
andreev551 [17]

Step-by-step explanation:

from,

An = 4n -13

A1 = 4 (1) - 13

> A1 = -9

A2 = 4(2) - 13

> A2 = -5

A3 = 4(3) - 13

> A3 = -1

A4 = 4(4) - 13

> A4 = 3

5 0
2 years ago
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