Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.

Answers

Answer 1

Answer:

The numbers are 11 and 13

Step-by-step explanation:

Let

the first odd whole number=x

Reciprocal=1/x

Second odd whole number=x+2

Reciprocal=1/x+2

The difference

(1/x) - 1/(x+2)=2/143

(x+2)-x / (x)(x+2)=2/143

x+2-x/x(x+2)=2/143

2/x(x+2)=2/143

2(143)=2(x^2+2x)

286=2x^2+4x

2x^2+4x-286=0

x^2+2x-143=0

Solve the quadratic Equation

x=-b +or- √b^2-4ac/2a

a=1

b=2

c=-143

x= -b +or- √b^2-4ac/2a

=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)

= -2 +or- √4-(-572) / 2

= -2 +or- √4+572/2

= -2 +or- √576/2

= -2 +or- 24/2

x= -2+24/2

= 22/2

=11

Or

x= -2-24/2

= -26/2

= -13

Taking the positive value

x=11

The second odd whole number=x+2

=11+2

=13


Related Questions

this is question What is the place value of the 8 in 4.328 (a)Thousands (b) Hundreds (c)Hundredths (d)Thousandths

Answers

Answer:

The answer is d

Step-by-step explanation:

The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.

What is the place value strategy?

The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.

here, we have,

Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.

In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.

Thus, the place value of the 8 is 0.008, or 8 thousandths.

Learn more about the place value strategy here:

brainly.com/question/654419

#SPJ2

What are the excluded values?

Answers

Answer:

y = 0

z = 5

Step-by-step explanation:

Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.

NEED HELP NOW!!! Need help finding vertex form

Answers

Answer:

y = (x-.5)^2 -12.25

Step-by-step explanation:

first, find the vertex

x from (x,y) = -b/2a

ax^2-bx - c

1x^2-1x -12

-1/2(-1) = -1/-2 - 1/2

(1/2,y) then use x value to find y value

y = 1/2^2 - 1/2 - 12

y = .25 -.5 - 12    = -12.25

(.5,-12.25) input values into this formula:

y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1

y = (x-.5)^2 -12.25

I really need help, someone please help me

Answers

Answer:

18.84 meters.

Step-by-step explanation:

The formula for a circle is πr^2.

πr^2 = 28.26

3.14 * r^2 = 28.26

r^2 = 9

r = plus or minus 3.

But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.

The formula for the circumference is 2πr.

2 * 3.14 * 3 = 6 * 3.14 = 18.84.

So, the circumference of the circle is 18.84 meters.

Hope this helps!

Solve the inequality -2x < 5, illustrating your solution on a number line.
Is -6 a solution of the inequality?​

Answers

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

I need help fast!!! pls help will mark BRAINLIEST

Answers

Answer:

the y intercept is same for both

Step-by-step explanation:

that is the only answer

Answer:

Last 2 choices

Step-by-step explanation:

Points on the graph:

(-2, 4) and (0, -4)

y=mx+bm= (y2-y1)/(x2-x1)=(-4-4)/(0+2)= -4y= -4x+b

To find b, using the first point

b= y+4x= 4-2*4= -4

So the equation for the graph is:

y= -4x-4

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

1. The slope is positive. no, it is -4 for both

2. Lines are same, so answer is no

3. yes

4. yes

Help please❤️ With at least some plzzz urgent

Answers

Answer:

a. A/B = 7/3

b. (p,q) = (4,0)

c. (p,q) = (0,2)

Step-by-step explanation:

We have the line as:

21x-6y-15 = 0

The general form of the equation of a straight line is;

y = mx + c

Where m is the slope and c is the y -intercept

writing the above in this manner, we have

6y = 21x -15

Now let’s divide through by 6;

y = 21x/6 -15/6

y = 7x/3 -5/3

Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3

Considering the equation;

3x + 6y = 12

Expressing in the general form, we have

6y = 12-3x

divide through by 6

y = 12/6 -3x/6

y = 2-0.5x

Now we want to find the x intercept. At the x-intercept, the value of y = 0

Thus 0 = 2-0.5x

0.5x = 2

x = 2/0.5 = 4

so (p,q) = (4,0)

For the y intercept

y = 2-0.5x

Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)

PLEASE ANSWER WILL MARK BRAINLIEST PLEASE ASAP -6/5-2/3v+4/15+1/3v

Answers

I'm assuming that you want me to solve for v, so I'll do that.

-6/5 - 2/3v + 4/15 + 1/3v

step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:

-18/15-2/3v+4/15+1/3v

step 2: so now, we can solve and say that -18/15+4/15 = -14/15

step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.

-2/3v + 1/3v = -1/3v

step 4: -14/15 - 1/3v = 0

-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).

IF YOU DON'T WANT TO FIND THE V, YOUR ANSWER IS -1/3v - 14/15If you want to find v, then, your answer is: v = -14/5

Please make this the Brainliest if it helped! Thanks :)

In simplest form what is 1/9 + 3 5/8

Answers

Answer:

There you go mate!

Step-by-step explanation:

I need help with this please

Answers

Hey there! :)

Answer:

0.3.

Step-by-step explanation:

Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:

The probability of rain on a day less than 80°F is 0.3.

factorize:
(1 - a^2) (1 - b^2) + 4ab​

Answers

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

(1 - a²) (1 - b²) + 4ab​= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)

Can someone help me please

Answers

D not enough enfo is given

i need help can you answer this

Answers

Answer:

Hey there!

6(7-4n)

42-24n

-24n+42

Hope this helps :)

Answer:

42-24n

Step-by-step explanation:

(7-4n)6

42-24n

-24n+42

Hope this helps ;) ❤❤❤

Please answer this question fast in two minutes

Answers

Answer:

A

Step-by-step explanation:

There isn’t enough info provided

PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped graph opens up. On a coordinate plane, a parabola opens to the right. On a coordinate plane, one curve opens to the left and another curve opens to the right.

Answers

Answer:

  On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

  On a coordinate plane, a v-shaped graph opens up.

Answer:

 On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

Good luck everybody and have a great day :D

BRAINLIEST! will give BRAINLY! can someone please explain, I don't understand how to do this.

Answers

Answer:

101.58 in

Step-by-step explanation:

The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.

The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.

Using the sine ratio in the right triangle, then

sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )

r × sin16° = 28 ( divide both sides by sin16° )

r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in

Answer:

The 3rd answer

Step-by-step explanation:

Please answer this now in two minutes

Answers

Answer:  b=46

Step-by-step explanation:

b+33 = b-13 +  b    the exterior angle  is the sum of two interior angles.

                            so they have to equal each and solve for b

b+33=b -13 + b  

b +33 = 2b -13      

   + 13         +13

b+ 46 = 2b

-b          -b

  46 = 1b

b=46

Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred? A. P(B A) P(A) ∙ P(B) B. P(B A) P(A) C. P(B A) P(B) D. P(B A) P(B)

Answers

Answer:B

Step-by-step explanation:

SIMPLIFY: N10 over N2 PLEASE HELP!!!! ASAP!!!

Answers

Answer:

N^8.

Step-by-step explanation:

[tex]\frac{N^{10}}{N^2}[/tex] = [tex]N^{10 - 2}[/tex] = [tex]N^8[/tex]

Hope this helps!

Find x A. 46–√ B. 32 C. 43–√ D. 6–√

Answers

Answer:

  [tex]\textbf{A. }4\sqrt{6}[/tex]

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  [tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]

What is the y-intercept of the function f(x) = –2/9x + 1/3?

Answers

Answer:

The y-intercept is 1/3

Step-by-step explanation:

The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.

Answer:

1/3

Step-by-step explanation:

For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3

Can anybody help me solve this math problem?

Answers

Answer:

Step-by-step explanation:

It appears from our choices that this is a linear function, a line in the form

y = mx + b

We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).

Using the slope formula twice to make sure this is in fact linear:

and between the next set of coordinates:

Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:

y - 66 = 11(x - 4) and

y - 66 = 11x - 44 and

y = 11x + 22, choice C.

y = 11x + 22

The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the circuit will last more than 2000 ​hours?

Answers

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

What is the inverse of the function f(x) = one-quarterx – 12?

Answers

Hey there! :)

Answer:

y = 4x + 48

Step-by-step explanation:

Original equation:

y = 1/4x -12

Switch 'x' and 'y' to solve for the inverse:

x = 1/4y - 12

Add 12 to both sides:

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4:

4(x+12) = y

4x + 48 = y

The inverse is y = 4x + 48

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x - 12

y = 1/4x - 12

Add 12 to both sides.

y + 12 = 1/4x

Multiply both sides by 4.

4y + 48 = x

Switch variables.

4x + 48 = y

Plz help also can you plz explain

Answers

Answer:

-1, 1

Step-by-step explanation:

what is 1/3 of -3 and 3

y is directly proportional to x when y=30, x=6 a) work out an equation connecting y and x b) work out the value when x=12

Answers

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

a) Standard equation of direct proportion:

y = kx

We need to find k. We can use the given values of x and y to find k.

x = 6; y = 30

30 = k * 6

k = 30/6 = 5

Now we use k = 5 in the standard equation to get this problem's direct proportion equation.

y = 5x

b)

x = 12

y = 5x

y = 5 (12)

y = 60

Simplify the expression x5 • x7.

Answers

Answer:

x12

Step-by-step explanation:

When multipling  numbers that are the same with exponent you can just add the exponents.

so x5*x7=x12

(It would be subtraction if there was division)

Hope this helped you and feel free to ask questions!

Answer:

x^12

Step-by-step explanation:

When multiplying exponents, the rule below is followed.

[tex]x^a * x^b= x^{a+b}[/tex]

Basically, the base remains the same, but the numbers in the exponents are added.

We are given:

[tex]x^5*x^7[/tex]

We leave the base (x)as is, and add the numbers in the exponents (5 and 7).

[tex]x^5*x^7\\[/tex]

[tex]x^{5+7[/tex]

[tex]x^{12}[/tex]

The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]

A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike? Also totally math unrelated, but how do you add friends, or send a friend request?

Answers

Answer:

36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)

If you want to add friends on brainly click their profile picture you will see send friend request click on it and then boom you are friends with that person but you have to wait until the person add you back.

Step-by-step explanation:

Mark me as brainliest

The ratio would start as 36:12

The front number (36) can be divided by the back number (12)

The 36:12 can be reduced to 3:1

The ratio is 3:1

I think when you click on someone name and go to their profile there is a button to request as a friend.

What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2​

Answers

Answer:

y = -3/2x-9/2

Step-by-step explanation:

We have two points ( -3,0) and (-1,3)

The slope is

m = (y2-y1)/(x2-x1)

   = (-3-0)/(-1- -3)

   = (-3-0)/(-1+3)

    = -3/2

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y =-3/2x+b

Using the point (-3,0)

0 = -3/2(-3) +b

0 = 9/2+b

b = -9/2

y = -3/2x-9/2

A 20kg solution is 15% alcohol. How much water should I add to make an 8% alcohol solution?

Answers

Answer:

17.5 kg of water.

Step-by-step explanation:

The amount of alcohol in the 15% solution = 20*0.15 =  3kg.

If 3 kg is equivalent to 8% solution

then 100%  is  3*100 / 8 = 37.5 kg.

So the amount of water to be added to make 8% solution = 37.5 - 20

= 17.5 kg.

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