Please Help me Check the image below!!!!!

Answers

Answer 1

Answer:

Answer:

First question:

The graph of $y=(3-2x)/(2-3x)$ has a vertical asymptote at x = $(2)/(3)$ and a horizontal asymptote at y = $(2)/(3)$

Second question:

The graph of equation $y=(1-3x)/(2+x)$ has a horizontal asymptote at y = -3 ⇒ C

Step-by-step explanation:

The vertical asymptotes will occur at the values of x for which make the denominator is equal to zero

The horizontal asymptotes will occur if:

Both polynomials are the same degree, divide the coefficients of the highest degree terms
The polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote

First question:

∵ $y=(3-2x)/(2-3x)$

- To find the vertical asymptote equate the denominator by 0

to find the value of x

∵ The denominator is 2 - 3x

∴ 2 - 3x = 0

- Add 3x to both sides

∴ 2 = 3x

- Divide both sides by 3

∴ $(2)/(3)$ = x

∴ The graph has a vertical asymptote at x = $(2)/(3)$

To find the horizontal asymptote look at the highest degree of x in both numerator and denominator

∵ The denominator and the numerator has the same degree of x

- Divide the coefficient of x of the numerator and denominator

∵ The coefficient of x in the numerator is -2

∵ The coefficient of x in the denominator is -3

∵ -2 ÷ -3 = $(2)/(3)$

∴ The graph has a horizontal asymptote at y = $(2)/(3)$

The graph of $y=(3-2x)/(2-3x)$ has a vertical asymptote at x = $(2)/(3)$ and a horizontal asymptote at y = $(2)/(3)$

Second question:

The graph has a horizontal asymptote at y = -3

means the numerator and the denominator has same highest degree and the coefficient of the highest degree in the numerator divided by the coefficient of the highest degree in the denominator equal to -3

In all answers the numerator and the denominator have the same highest degree

Lets look for the coefficients of x up and down to find which one gives quotient of -3

∵ In answer A the quotient is 1 because x up and down have

coefficient 1

∵ In answer B the quotient is $-(1)/(3)$ because the coefficient of x

up is 1 and down is -3

∵ In answer D the quotient is -1 because the coefficient of x

up is 3 and down is -3

∵ In answer C the quotient is -3 because the coefficient of x up

is -3 and down is 1

∴ The graph of equation $y=(1-3x)/(2+x)$ has a horizontal asymptote at y = -3

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Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain movie. How many were in the 12-29 age group?

Answers

67 multiplied by 3 is 201, so there is 201 people in the age group 12-29. Also, 67% is approximately two thirds, and we can see that reflected in our answer.

PLEASE PLEASE PLEASE HELP

Answers

Answer:

y = -x+5

Step-by-step explanation:

slope intercept form

y= mx+b

the slope is -1

and the y intercept is 5 ( 0,b)

y = -1x+5

y = -x+5

Natalie charges $1490 per month to rent each of her three rental houses. Natalie must pay $5850 in maintenance cots per house per year. If all three houses are occupied, how much money will Natalie earn over seven years?

Answers

3(1490) = 4470 per month for rent she collects...4470(12) = 53640 per yr
3(5850) = 17550 per year she pays in maintenance cost

over 7 yrs...
53640(7) - 17550(7) = 375480 - 122850 = 252630 <== what she earned

Simply and solve this equation for q: 3q +5 +2 q -5 =65

Answers

Hello,

3q+5+2q-5=65
==>5q=65
==>q=13

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.

Answers

Answer: x= 4 is an extraneous solution.

Step-by-step explanation:

Since we have given that

$3(√(x+5))=-9$

We need to find the extraneous solution.

So, our equation becomes,

$√(x+5)=(-9)/(3)\n\n√(x+5)=-3\n\n\text{On squaring both sides}\n\nx+55=(-3)^2\n\nx+5=9\n\nx=9-5\n\nx=4$

Now, we will check that x = 4 is an extraneous solution.

$3√(4+5)\neq -9\n\n3√(9)\neq -9\n\n3* 3\neq -9\n\n9\neq -9$

Hence, x= 4 is an extraneous solution.

The solution is $x=4$ .

Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?

Answers

( y - 4 ) ( y² + 4 y + 16 ) = y³ + 4 y² + 16 y - 4 y² - 16 y - 64
The result is a polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y + 64;
Answer: a = 16

Answer:

The answer is C. 16

Step-by-step explanation:

I got it right on edg. See below.