All categories

3 years ago

Identify the vertical asymptotes of f(x) = 2 over quantity x squared plus 3 x minus 10.

1 answer:

3 0

The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.

You might be interested in

The volume of each cone round the answer to decimal places

snow_tiger [21]

Answer:

1. 322.01

Step-by-step explanation:

Formula: v=pi X r^2(h/3)

4 0

3 years ago

Which store is offering the best deal?

disa [49]

The answer to this question is 8 for $6

3 0

3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

4 years ago

3 octagons 4 Pentagons 2 trapezoids how many sides are on the shapes altogether

klio [65]

Answer:

52 Sides

Step-by-step explanation:

Octagons have 8 sides so 3 x 8 = 24

Pentagons have 5 sides so 4 x 5 = 20

Trapezoids have 4 sides so 2 x 4 = 8

Add it all up and it equals 52 sides in total

8 0

4 years ago

Which of the following shows 7 + (x + 4y) rewritten using the Associative Property of Addition? Select one: a. 7 + x + 4y b. 7x

ipn [44]

I'm pretty sure it's A. 7+x+4y, but I could be wrong.

6 0

4 years ago