State the vertical asymptote of the rational function:
f(x) = ((x - 9)(x + 7)) / (x^2 - 4)

Answer:

5 + [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given a ± [tex]\sqrt{b}[/tex] , then the conjugate is

a ∓ [tex]\sqrt{b}[/tex]

Given

5 - [tex]\sqrt{2}[/tex] , then the conjugate is 5 + [tex]\sqrt{2}[/tex]

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Answer:

100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer:

(9,-3)

Step-by-step explanation:

Answer: 19, I had to get the question wrong :/

The value of x is 19

From the question we understand that TRAP is an isosceles trapezoid

This means that the adjacent angles add up to 180 degrees.

So, we have:

5x + 9 + 4x = 180

Evaluate the like terms

9x = 171

Divide both sides by 9

x = 19

Hence, the value of x is 19

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Answer:

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

Answer:

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

Each game costs:

So each video game costs 1/10 of birthday money

Answer:

1/10

Step-by-step explanation:

spent 1 on 2 video games

          5

= 1/5

    2 games

= 1/10 of money spent on each game

Answer:

225 Calculators cost $17

Step-by-step explanation:

Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.

Answer:

Step-by-step explanation:

(a). SR = 15√2 km ≈ 21.2 km

R is 21.2 km due South-East of S

(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km

R is 38.1 km due South-West of Q

Answer:

x[tex]x=\sqrt{19^2-10^2}=\sqrt{361-100} =\sqrt{261} \approx16.15549\\\approx16.16[/tex]

Step-by-step explanation:

x=\sqrt{19^2-10^2}=\sqrt{361-100}  =\sqrt{261} \approx16.15549\\\approx16.16

The requried measure of length x in the right triangle is 16.15 units.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
For the given right-angle triangle,
Applying the Pythagoras theorem,
hypotenuse² = perpendicular² + base²
19² = 18² + x²
x = √19² - 10²
x = 16.15

Thus, the requried measure of length x in the right triangle is 16.15 units.

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Answer:

Step-by-step explanation:

Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8

The final amount spent is 5%, that means we can multiply the end amount spend by 1.05

The maximum Stan can spend is $95

[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]

Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies

Answer:

x = 2

Step-by-step explanation:

Answer:

:O

Step-by-step explanation:

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

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Reminder :

[tex](x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b) \\ [/tex]

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[tex] {v}^{2} + ( - 7s {u}^{2} + s {u}^{2})v +( ( - 7s {u}^{2})(s {u}^{2} )) = \\ [/tex]

[tex] {v}^{2} - 6s {u}^{2} v - 7 {s}^{2} {u}^{4} \\ [/tex]

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Answer:

v² - 6su²v - 7s²[tex]u^{4}[/tex]

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis

= v² + su²v - 7su²v - 7s²[tex]u^{4}[/tex] ← collect like terms

= v² - 6su²v - 7s²[tex]u^{4}[/tex]

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

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Answer:

A student who has many absences has a decrease in grades.

Step-by-step explanation:

Answer:

D You got it right. 65% 5/8 3/5 0.5

Answer:

Step-by-step explanation:

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

Answer:

Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.

Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.

Answer:

-8>x>6

Step-by-step explanation:

I 5x+5I +22> 57subtract 22 on both sides

I5x+5I >35

                                    SPLIT

5x+5>35                                              5x+5< -35 ( flip sign and 35 negative)

5x>30                                                   5x< -40

x>6                                                         x< -8

  Draw a number line Write  zero in the middle

From zero count  to the  left until- 8  make an open circle because- 8  is not included  From -8 draw  an arrow to the left (because x  is less than -8)  

From zero  count to the right until  6  Make an open circle bc 6     is not included.  From 6 draw an arrow to the right   (because x is more than 6)

PART 2 is not already solved?  

If you need to solve fot t

Divide both parts by pr

t= (l/ pr)                                      

Given:

A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

[tex]y=3x[/tex]

[tex]f(x)=3x[/tex]

Equation of after transformation is

[tex]y=3(x+8)[/tex]

[tex]g(x)=3(x+8)[/tex]

Now,

[tex]g(x)=f(x+8)[/tex]      ...(i)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

[tex]a=8\text{ and }b=0[/tex]

Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.

Answer:

dear explain your question briefly

Step-by-step explanation:

We will try to explain you

The round off -5 1/2 to whole number is -6.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction: -5 1/2

Now, converting it to the decimal

= -11/2

= -5.5

now, rounding off to whole -5.5 will lie between -5 and -6.

Hence, the whole number round off for - 1/2 is -6.

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Answer:

21.6

Step-by-step explanation:

I think

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment