100 points
If no denominator equals zero, which expression is equivalent to 15/x-6+7/x+6

100 PointsIf No Denominator Equals Zero, Which Expression Is Equivalent To 15/x-6+7/x+6

Answers

Answer 1

Answer: its d

Step-by-step explanation:

Answer 2
The expression is equivalent to "[tex]\frac{22x+48}{x^2-36}[/tex]".

Given expression:

[tex]\frac{15}{x-6}+\frac{7}{x+6}[/tex]

By taking L.C.M, we get

→ [tex]\frac{15(x+6)+7(x-6)}{(x-6)(x+6)}[/tex]

→ [tex]\frac{15x+90+7x-42}{x^2-36}[/tex]

→ [tex]\frac{22x+48}{x^2-36}[/tex]

Thus the response above i.e., "option D" is correct.

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Related Questions

volume of a cylinder

Answers

Answer:

A

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the base radius and h the height )

Here r = 6 and h = 8, then

V = π × 6² × 8 = π × 36 × 8 = 288π cm³ → A

Solve for t.

-18.18 = 6t

Question 1 options:

t= -24.18


t= -3.03


t= 3.03


t= -13.18

Answers

Answer:

-3.03

Step-by-step explanation:

divide -18.18 by 6

Answer:

t= -3.03

Step-by-step explanation:

In order to solve for t, we need to isolate it. We would do this by dividing both sides by 6:

[tex]t= -18.18/6[/tex]

Therefore t= -3.03

True or False: An asymptote is a line in which a graph gets close to but never crosses.
True
False

Answers

Answer:

True

Step-by-step explanation:

An asymptote is, essentially, a line that a graph approaches, but does not intersect. For example, in the following graph of y = 1x y = 1 x , the line approaches the x-axis (y=0), but never touches it. No matter how far we go into infinity, the line will not actually reach y = 0, but will always get closer and closer.

The statement is true.

What is an asymptote?

Asymptote is a line that a curve approaches as it moves towards infinity. Asymptotes. The curves visit these asymptotes but never overtake them.

An asymptote is a line along which the values of a function approaches but never reach, such that one or both of the or coordinates tend to positive or negative infinity. Therefore, the graph of a rational function never intersects any of its asymptotes.

Hence, the statement is true.

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Karl set out to alaska on his truck the amount of fuel remaining in hi truck tank in liters as a function of distance driven in kilometers is graphed
What distance did Karl travel by the time he had 200 liters of fuel

Answers

Karl traveled 420 kilometers by the time he had 200 liters of fuel remaining in his truck.

Why it is and what is distance?

To determine the distance Karl traveled by the time he had 200 liters of fuel remaining in his truck, we need to examine the graph provided.

From the graph, we can see that when the fuel remaining in the truck tank is 200 liters, the corresponding distance driven is approximately 420 kilometers.

Therefore, Karl traveled 420 kilometers by the time he had 200 liters of fuel remaining in his truck.

Distance is the physical length between two points or objects. It is a scalar quantity that measures the amount of space between two locations, without regard to the direction of travel. Distance can be measured in various units such as meters, kilometers, miles, and so on.

In physics, distance is often distinguished from displacement, which is a vector quantity that measures the change in position of an object relative to its starting point.

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HEELPP GIVING BRAINLIEST IF UR CORRECT I NEED THIS PLSSSS

Answers

Answer:

i personally would say 48 cubic meters

Step-by-step explanation:

because it says each cube is 1 meter and im saying cubic because just normal meters doesnt seem like it fits the question

Combine like terms:

7x - 2y + 8 - 5x + 3

Answers

Answer:

2x - 2y + 11

Step-by-step explanation:

Step One: Collecting Terms

2x - 2y + 8 + 3

Answer: 2x - 2y + 11

What is the area, in square meters, of the circle? Use 3.14 for π. Round your answer to the nearest tenth.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give any figures but let me try and help out.

The area of a circle is given as:

= πr²

Let's say we have radius as 8m, the are will be:

= πr²

= 3.14 × 8²

= 3.14 × 64

= 200.96m²

Stephen purchased a guitar, which was originally priced at $80 but
discounted at 25%. He also had to pay 5% sales tax. What amount did
Stephen pay to purchase the guitar? *

Answers

$24

(ignore this i don’t have enough characters )

Answer:

57 dollars

Step-by-step explanation:

1. Solving the 25% discount

25% = .25

80 x .25 = $20

80 - 20 = $60

** We subtracted 80 from 20 because 25% of 80 is 20 BUT We're taking 25% OFF of 80 because it was a discount.

2. Solving the 5% Tax

5% = .05

$60 x .05 = 3

$60 + 3 = $63

**Adding tax to the discounted price

I hope this helps!

Answer true/false. If false, give a counterexample
11. Perfect squares are closed under multiplication

Answers

Answer:

That is true because squares are also closed for multiplication.

An isosceles triangle has an angle that measures 66°. Which other angles could be in that isosceles triangle?

Answers

Answer:

57 and 57 or 66 and 48

Step-by-step explanation:

180-66=114

114/2=57

the awnser is 24

Step-by-step explanation:

I think it might be wrong sorry if it wrong

What's the LCM of 4 and 5?

Answers

Answer:

The least common multiply of 4 and 5 is 20.

Step-by-step explanation:

Solve the equation 1.5x + 18 =3

Answers

X = -10 is the answer

Answer:

x=10

Step-by-step explanation:

Simplifying

1.5x + 3 = 18

Reorder the terms:

3 + 1.5x = 18

Solving

3 + 1.5x = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 1.5x = 18 + -3

Combine like terms: 3 + -3 = 0

0 + 1.5x = 18 + -3

1.5x = 18 + -3

Combine like terms: 18 + -3 = 15

1.5x = 15

Divide each side by '1.5'.

x = 10

Simplifying

x = 10

Find the rate of change and initial value for the linear function.
The rate of change is

Answers

It’s 3,3 on that is the answer I

Which equation has the greatest rate of change?
y=12x-7
y=5x+9

y=4x+12

y=X+36

Answers

Answer:

y=12x-7

Step-by-step explanation:

Rate of change is the same thing as slope which can be found by looking at the value before the x. Since 12 is the largest number, it has the largest rate of change.

Beth normally cycles a total distance of 56 miles per week.
She increases her distance by 15% each week for the next three weeks.
How many miles will she cycle in the third week?
(3 marks)
miles

Answers

Answer:

She will cycle 85.169 miles in the third week.

(round if needed)

Step-by-step explanation:

56÷100=0.56 (this is 1%)

0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)

repeat for the other 3 weeks

64.4÷100=0.644

0.644 x 15 + 64.4 = 74.06

74.06÷100=0.7406

0.7406 x 15 + 74.06 = 85.169

Beth will cycle a distance of 85.169 miles in the third week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If john obtained a score of 57% on his exam, that corresponds to 57 out of 100.

Beth rides her cycle 56 kilometers each week on average.

For the next three weeks, she will increase her distance by 15% each week.

As per the given condition, the required solution would be as

⇒ 56 / 100 = 0.56

⇒ 0.56 × 15 + 56 = 64.4

If we obtain 15%, add 56 (the initial amount) because there is a 15% increase.

Repeat for the remaining three weeks.

⇒ 64.4 / 100 = 0.644

⇒ 0.644 × 15 + 64.4 = 74.06

⇒ 74.06 / 100 = 0.7406

⇒ 0.7406 × 15 + 74.06 = 85.169

Therefore, she will cycle a distance of 85.169 miles in the third week.

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1. A baker made 4 chocolates with hearts. If she made 25 chocolates,
what percent of the chocolates had hearts? *

Answers

16% would be the correct answer

2.Mai’s bank account is overdrawn by $60, which means her balance is -$60. She gets $85 for her birthday and deposits it into her account. How much does she now have in the bank?

Answers

Answer:

25

Step-by-step explanation:

-60+85=25

the answer is 25

I REALLY NEED SOME HELP! BRAINLIEST!!!!!! PLEASE I CANT FAILLLL

Answers

Answer:

30

Step-by-step explanation:

Answer:

1.) B.) 30

2.) D.) 2.38

Step-by-step explanation:

1.) The answer is B because when the encyclopedia first went live there were 30 articles in it.

2.) The answer is D because the product first started out as $38⁰⁰ and each year it is decreasing half the amount of the year before it and it does this for 4 years:

Start:         Year 1:     Year 2:      Year 3:      Year 4:

$38⁰⁰ ÷ 2 = $19 ÷ 2 = $9⁵⁰ ÷ 2 = $4⁷⁵ ÷ 2 = $2³⁸ <--- I rounded up because 2.375 is closer to 2.38  

(Please tell me if they are wrong is I can fix them, other wise, have a nice day!)

Which of the following numbers are integers? Select all that apply.
9.343
-100
8/11
53
-4

Answers

That would be= -4, -100,and 53 sorry if it’s wrong I don’t think so tho

help me please
model the expression using counters

6+4
or
model the expression using the number line.

Answers

Answer: -2

Step-by-step explanation:

Answer:

You have to write the number-line out man. However, the answer is -2

Step-by-step explanation:

When solving problems like these, knowledge or integers and whole numbers are important. First, find the absolute values of both numbers.

Absolute value of -6: 6

Absolute value of 4: 4

Subtract the values: 6 - 4 = (Positive 2)

THEN, look at the number with the Greater Absolute value. In this case, it is -6. Because -6 has the greater absolute value, your answer should be the connotation of that number. IN THIS CASE, the number with the greater absolute value, -6, has a negative sign. Therefore, your answer should be negative. Your answer is -2.

My attempt at a number line:

----------------->

_|_________|______________

-6  -5  -4 - 3  -2  -1  0  1  2  3  4

HELP ME PLZZZZZZZZZZ

Answers

Answer:

1. Angle Relationship: Alternate Exterior Angles

2. Angle Relationship: Same side Interior angles

3. Angle Relationship: Corresponding angles

Step-by-step explanation:

Alternate Exterior Angles are angles that are outside of the parallel lines and  are opposite of each other.

Same side Interior angles are angles that are inside the parallel lines and are on the same side of a transversal.

Corresponding angles are angles that are in the same matching corners.

Hope this helps! :)

Sarah plays her new video game for 105 minutes. Sarah stopped playing at 3:30 p.m.

Answers

Answer:

Step-by-step explanation:

1:45 pm she started playing

Solve a/-16 + 8 = 12.




















...............................

Answers

Answer:

355

Step-by-step explanation:  me

which of the following is a correct sine ratio for the figure? ​

Answers

5/13.....so D because sine is opposite over hypotenuse

Courtney and Chelsea are leading a family hike on Saturday. The number of snacks Chelsea is bringing can be represented by 2x. Courtney is bringing a number of snacks. If Chelsea brought 16 snacks, how many did Courtney bring?​

Answers

Answer:

Courtney is bringing 8 snacks

Step-by-step explanation:

Chelsea's snacks are represented as 2x.

2x means 2 · (a number)

If Chelsea brought 16 snacks and the amount of snacks represented by 2x, we have to figure out what times 2 equals 16.

In order to find out, we have to divide.

16 ÷ 8 = 2

This means 2 · 8 = 16

Since the amount of snacks Courtney brings is represented as "x", she would have brought 8 snacks.

Hope this helped! :)

4 divided by 992 because my calculator isn't helping and i'm not trynna fail

Answers

Answer:

4/992 = 0.00403225806

Step-by-step explanation:

I hope this helps!!

Which expression is equivalent to 4(u+11w)
? PLZ I need this

Answers

Answer:

4u+44w

Step-by-step explanation:

4(u+11w)

4*u+4*11w

4u+44w

Luke buys a T.V that is on sale for 45% off the original price. The original price is $189 more than the sale price. What is the
original price of the TV?

Answers

Answer:

420

Step-by-step explanation:

45%->189

100%->420

Find the equation of the line use exact numbers
Y=_x+_

Answers

Answer:

Y = 2x + 4

Step-by-step explanation:

y= mx +b

First, find m (aka the slope)

[tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{1}[/tex] = 2

m = 2

Find b (aka the y-intercept)

The line touches the y-axis at (0,4). Therefore b = 4

Plug m and b into the slope-intercept equation

y = mx +b

y = 2x + 4

i need help with this plz​

Answers

Answer:

you will eliminate the y variable

Step-by-step explanation:

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