A line passes through the points ( p , a ) and ( p , − a ) where p and a are real numbers. If p = 0 , what is the y-intercept? Explain your reasoning.

Answers

Answer 1

The y-intercept of the linear function is y = 0.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The y-intercept is given by (0,a) = (0,-a). From this, we have that for it to be a function, a = -a, and the only value that respects this condition is a = 0, hence the y-intercept of the linear function is y = 0.

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Related Questions

Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.

Answers

Answer:  

distributive property  

9x+15  

Step-by-step explanation:  

The distributive property is whenever you have () and distribute until you have zero of these ()

The equivalent expression simply means write this equation differently.

what is the sum of 3 + 6 + 5

Answers

Answer:

The answer is 14

Step-by-step explanation:

3 + 6 = 9

9 + 5 = 14

The answer is 14 this is easy

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?​

Answers

Answer:

jbtcxey5x6ivb

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(2√2)^2

= (2^2× √2^2)

=(4×2)

=8

If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?

Answers

Answer:

44.19

Step-by-step explanation:

419*0.09=44.19

a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line

Answers

Answer:

Step-by-step explanation:

(27 - 23)/(8 - 4)= 4/4= 1

y - 23 = x - 4

y = x + 19

help pleasseeeeeeeeee​

Answers

Answer:

B, C, E, F

Step-by-step explanation:

Please help meeeee!!!!!!!!! What’s the answer????

Answers

Answer:

The answer would be y= |x-2| -1.

When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))

pls help its due now

Answers

Answer:

$2.25 is the cost of one pretzel

Step-by-step explanation:

6p/13.50

p=2.25

p= 2.25$ good luck big gangsta

3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b. ​

hiii this is adddmath can anyone help with this please

Answers

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3


The population of Williston is currently 21,200 people. If the population
increases at an average rate of 415 people per year, which equation could
be used to find the approximate number of years it will take for the
population to reach 27000 people?

Answers

[tex]21200 + 415(y)[/tex]

[tex]27000 = 21200 + 415(y)[/tex]

[tex]27000 - 21200 = 21200 - 21200 + 415(y)[/tex]

[tex]5800 = 415(y)[/tex]

[tex] \frac{5800}{415} = \frac{415(y)}{415} [/tex]

[tex]13.9759..... = y[/tex]

[tex]it \: will \: take \: about \: 14.0 \: years[/tex]

A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3/4 its current price. How much will it cost in 8 months?

Answers

72

Step-by-step explanation:

96 × 3/4 = 72

Hope this helps! (:

Multiplication is a method of finding the product of two or more numbers. After 8 months the cost of computer processor is $72

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

It is given that,

A computer processor costs initially $96.00

It is expected that in 8 months the processor will cost 3/4 its current price.

Which means its cost will 3/4 times of 96.

Whenever we use times it means product or multiply.

Three by four times of ninety six

3/4 ×96.

288/4

72

Hence after 8 months the cost of computer processor is $72

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Could someone Please Help me with this?!?!?!?!

Answers

Answer:

-3

Step-by-step explanation:

To find slope use the equation [tex]y2 - y1 / x2 - x1[/tex]

1. Pick any two coordinate pairs to use in the equation. I'll choose (-2, 7) and (-1, 4).

2. Plug these coordinates into the formula. 4 - 7 / -1 - - 2

3.  Solve! -3/ 1 =  -3

4. The slope of this line is -3

If you did not learn a different method for unit conversion in a previous class, respond to the following statement.

Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Hint: 1 kilogram=2.2 pounds
To write the unit factors, use the / symbol, like this: 1 gallon/3.79 liters.

Answers

Answer:

120 pounds = 54.5 kilogram

Step-by-step explanation:

We know that,

1 kilogram=2.2 pounds

or

1 pound = (1/2.2) kilogram

We need to convert 120 pounds to kilograms.

[tex]120\ \text{pounds}=\dfrac{120}{2.2}\ \text{kilogram}\\\\=54.5 \text{kilogram}[/tex]

So, there are 54.5 kilograms in 120 pounds.

Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.

Answers

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

Are these two triangles congruent? *

Answers

Answer:

not congruent because none of the angles match

Answer:

Not Congruent

Step-by-step explanation:

No.

Two corresponding sides measure 8 and 4.

The other two corresponding sides measure 7 and 3.5.

In order to be congruent, each pair of corresponding sides has to be congruent.

Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent

Answers

Answer:  1034.44 dollars

=====================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

---------------------

Notes:

P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.

Challenge. A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​50% actually enroll. If 10,000 students​ apply, how many actually​ enroll?

Answers

10,000 x 0.6 = 6,000 are accepted
6,000 x 0.5 = 3,000 actually enroll

Answer: 3,000

Step-by-step explanation:

Apply= 10,000

University Accept= 10,000*60% = 6,000

Enroll= 6,000*50% = 3,000

Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.

Answers

Answer:

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.

Solution:

Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.

Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:

5x + 3y = 95       (1)

Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:

8x + 6y = 170         (2)

Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:

2x = 20

x = 10

Substitute x = 10 in equation (1):

5(10) + 3y = 95

50 + 3y = 95

3y = 45

y = 15

Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?

Answers

There are 3 slices left.

75% of 12 is 9, meaning she ate 9 slices. 12-9 is equal to 3, so there are 3 slices left.

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

[tex] \frac{75}{100} \times 12 = 9[/tex]

Then She left

[tex]12 - 9 = 3[/tex]

what is the answer to this problem if you need to find out the area?

Answers

Answer:

17.28in

Step-by-step explanation:

To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:

7.2*4.8=34.56

34.56/2=17.28

write a linear equation of a line that goes through (8,0) and (-6,7)

Answers

Answer:

Line equation: y=−0.5x+4

Slope: -0.5

Intercept: 4

Step-by-step explanation:

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.

Answers

Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

[tex] \sin(theta) = \frac{opp}{hypo} [/tex]

Plug in the values

[tex] \sin(31) = \frac{x}{152} [/tex]

Which is about 78.29

X and Y
-5x+5y=-25
3x+2y=10

the X and Y is (4,-1) i need to know how to get the answer ​

Answers

Step-by-step explanation:

just substitute X and Y by their numerical values.

a) -5(4)+5(-1)=-25

-20-5= -25

-25= -25. true

b) 3(4)+2(-1) = 10

12 -2 =10

10=10. true

At Franklis Incorporated, during the month of January, the direct labor rate variance was $3,000 unfavorable, and the direct labor efficiency variance was $5,000 favorable. Actual direct labor costs during January were $100,000. What was the standard direct labor applied to production at Franklis during the month of January?

Answers

Answer:

50

Step-by-step explanation:

Direct labour rate variance is $3,000

Direct labour efficiency variance is $5,000

Actual direct labour costs is $100,000

Therefore the standard direct labour production during the month of January can be calculated as follows

= 100,000/5,000-3,000

= 100,000/2,000

= 50

Write as an addition problem: 22 - (-8)

Answers

Step-by-step explanation:

22+8

I think this ans may help you

A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.​

Answers

Answer:

Your answer.

345161.29

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Answer:

345,161

Step-by-step explanation:

It means that [tex]32,100=.093x[/tex].  Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.

What is the LCM of 10 and 12?

Answers

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

Plz answer only if u know u are correct

Answers

Answer:

Y=-2x+6

Step-by-step explanation:

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

Answers

The slope is 5/7

Step-by-step explanation:

When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7

sorry im bad at explaining

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