Find the x-intercept of the line 14x–11y= – 1.

3 weeks ago

Solution 1

Guest Guest #7253171
3 weeks ago

Answer:

x- intercept = - [tex]\frac{1}{14}[/tex]

Step-by-step explanation:

to find the x- intercept, that is where the line crosses the x- axis, let y = 0 in the equation and solve for x

14x - 11(0) = - 1

14x = - 1 ( divide both sides by 14 )

x = - [tex]\frac{1}{14}[/tex] is the x- intercept

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Find the y-intercept of the line 12x+16y=6.
Solution 1

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

To find the y-intercept you need to put convert it into the equation:

y = mx + b where b = the y-intercept.

12x + 16y = 6. First rearrange the equation so y is on side of the equation.

16y = -12x + 6. Now divide by 16 so the equation has y as a stand alone value.

y = [tex]\frac{-3}{4}[/tex]x + [tex]\frac{3}{8}[/tex]

Therefore the y-intercept is [tex]\frac{3}{8}[/tex]

Question
When a number is divided by 9, and the remainder is 6. What is the
remainder when six times this number is divided by 9?
Solution 1

Answer:

9x + 6

Step-by-step explanation:


SOLUTION GIVEN: a number is divided by 9 and the remainder is 6,

TO DETERMINE: The remainder when six times the number is divided by 9

EVALUATION: Here it is given that the number is divided by 9 & the remainder is 6

We know that Dividend = Divisor × Quotient + Remainder 

By the given Divisor = 9

Remainder = 6

Let quotient = x

Then the number = Dividend = 9x + 6

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Question
Course Grade You were 6 points shy of a B in yo
394. How many points were possible in the course?
mathematics course. Your point total for the course was
(Assume that you needed 80% of the course total for a B.)
Solution 1

The point total possible for the given course is equal to 500.

What is a Percent?

  • A ratio whose second term is 100 is known as a percent.
  • Parts per hundred are used in percentages.
  • The mathematical representation of percent is %.
  • The percent formula is given as, [tex]x=p \times b[/tex], where b is the base number, x is the number being compared to b, and p is the percent in decimal form.

In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.

So, the total number of points you require for a B is calculated as,

[tex]394+6=400[/tex]

So, the value of x is 400.

It is given that you need 80% of the course total for a B.

[tex]\implies p=\frac{80}{100}\\ \implies p=0.8[/tex]

Here, we have to find the base number (b).

We have, x = 80% of b

[tex]\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}[/tex]

Simplifying, we get

[tex]x=500[/tex]

Therefore, 500 points were possible in the course.

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Question
A rectangular piece of metal is 9 centimeters long and 6 centimeters wide. What is its area?
Solution 1

Answer:

54

Step-by-step explanation:

9x6

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Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat
Solution 1

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is  24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

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Question
*1/2
*4 to 4
*2:1
*8/4
Solution 1

Answer:

1/2

Step-by-step explanation:

shaded sections = 4

total sections = 8


4/8

(4:4)/(8:4)

1/2

Solution 2

Answer:

The answer is 4:4.

Step-by-step explanation:

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Solution 1

Answer:

El intercepto en y es 6,1

Step-by-step explanation:

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selling price of car if rs 50,000 , profit is 10% and cost price of car will be ?
Solution 1

Answer:

Rs 45,000

Step-by-step explanation:

The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.

Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.

Question
Find the y-intercept of the line x+y=7.
Solution 1

Answer:

(0,7)

Step-by-step explanation: