find three consecutive positive integers such that the product of the first and the third integer os 29 more than the second

Answers

Answer 1

Answer:

5, 6, 7

Step-by-step explanation:

let the 3 consecutive integers be n , n + 1 , n + 2 , then

n(n + 2) = n+ 1 + 29

n² + 2n = n + 30 ( subtract n + 30 from both sides )

n² + n - 30 = 0 ← in standard form

(n + 6)(n - 5) = 0 ← in factored form

equate each factor to zero and solve for n

n + 6 = 0 ⇒ n = - 6

n - 5 = 0 ⇒ n = 5

n > 0 , then n = 5

the 3 integers are 5, 5 + 1, 5 + 2 , that is

5, 6, 7


Related Questions

one-half the total of six times a number n and thirty-eight?

Answers

3n+19

Explanation:

(1/2)(6n + 38)

simplify (x^5)(y^7)(x^9)(y^2)

Answers

Answer:

x^14 y^9

Step-by-step explanation:

Add the exponent of the x's

(x^5) + (x^9) = x^14

Add the exponent of the y's

(y^7) + (y^2) = y^9

You can't combine different varibles so your answer will be x^14 y^9

Multiplicaciones que den 35

Answers

Answer:

Estos pares de factores son (1, 35) y (5, 7).

espero que esto ayude.

➡ (1,35)

➡ (5,7)

When treasury stock is purchased for $42 per share and subsequently sold for $47 per share, treasury stock is credited for $fill in the blank 1
per share and Paid-in Capital from the Sale of Treasury Stock is
for $fill in the blank 3
per share when the sale is recorded.

2. When treasury stock is purchased for $42 per share and subsequently sold for $40 per share, treasury stock is credited for $fill in the blank 4
per share and Paid-in Capital from the Sale of Treasury Stock is
for $fill in the blank 6
per share when the sale is recorded.

3. When treasury stock is purchased for $38 per share and subsequently sold for $47 per share, treasury stock is credited for $fill in the blank 7
per share and Paid-in Capital from the Sale of Treasury Stock is
for $fill in the blank 9
per share when the sale is recorded.

4. When treasury stock is purchased for $38 per share and subsequently sold for $40 per share, treasury stock is credited for $fill in the blank 10
per share and Paid-in Capital from the Sale of Treasury Stock is
for $fill in the blank 12
per share when the sale is recorded.

Answers

2 is the right answer

Please help I really need this

Answers

Answer:

(0 , 4)

Step-by-step explanation:

The Y-intercept is when a line crosses sector y at any point. This means x will be zero. Simply to find the y-intercept from this quadratic function, just look at where the line crosses the y-line.

This clearly passes at (0,4), therefore (0,4) is the y-intercept.

Can yall help me with this math

Answers

Answer:

2 the change in expected height for every additional centimeter of femur length

Step-by-step explanation:

1 and 4 have 55 is the starting point but is just there to throw you off and 3 has expected femur length, but the graph says expected height

16) Find the value of x

Answers

Answer:

root 7

Step-by-step explanation:

apply tan60=p/b=root 21/ x

A coin tossed four times and a card is selected from a standard deck of cards

Answers

Probability of landing on tails = 1/2Probability of choosing a spade = 1/4, as there are 13 spades in a pack of 52 cardsSo the probability of both = 1/2 * 1/4 = 1/8.We are assuming the deck of cards does not contain jokers.

What is the length of the hypotenuse of the triangle below?
45
h
45°
5√2
90⁰
5√2

Answers

Answer:

10

Step-by-step explanation:

find the square root of the sum of the squares

The length of the hypotenuse for the given right angled triangle is 10 units.

What is a Pythagoras theorem?

Pythagoras theorem states that the square of the hypotenuse is equivalent to the square of the base and perpendicular.

We can write the formula for Pythagoras theorem as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is to find the length of the hypotenuse in the right angled triangle shown.

Using the Pythagoras theorem, we can write that -

(hypotenuse)² = (base)² + (perpendicular)²

(hypotenuse)² = (5√2)² + (5√2)²

(hypotenuse)² = 2 x (5√2)²

(hypotenuse)² = 2 x 25 x 2

(hypotenuse)² = 100

(hypotenuse) = 10

Therefore, the length of the hypotenuse for the given right angled triangle is 10 units.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

#SPJ7

One endpoint of a segment is M(0, 8). The midpoint of the segment is
Q(4, 10). What are the coordinates of the other endpoint?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ M(\stackrel{x_1}{0}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 0}{2}~~~ ,~~~ \cfrac{ y + 8}{2} \right)~~ = ~~\stackrel{\textit{\Large Q}}{(4~~,~~10)}\implies \begin{cases} \cfrac{x+0}{2}=4\\[1em] \boxed{x=8}\\[-0.5em] \hrulefill\\ \cfrac{y+8}{2}=10\\[1em] y+8=20\\ \boxed{y=12} \end{cases}[/tex]

7
Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Use the picture of the trapezoid below to complete the statements that follow.
10 units
units
14 units
square units, the area of section 2 is
square units, and the area of section 3 is
square
The area of section 1 is
units.
The area of the trapezoid is
square units.
Reset
Submit

Answers

Answer:

126 square units

Step-by-step explanation:

Area of section 1 is 8 square units which is triangle and,

Area of triangle is =  [tex]\frac{1}{2}\times b\times h[/tex]

b= 2 units and height =8 units

So,

Area of section 1  =  [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Same Area is of section 2 which is also a triangle and has same base and height.

So,

Area of Section 2 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]

Now the Area of section 3 which is square with side of 10 units

So,

Area of section 3 =  [tex]a^{2} =10\times10=100\quad \text{square units}[/tex]

Total Area of Trapezoid = [tex]8+8+100=126 \quad \text{square units}[/tex]

please help !! I dont know what the awnser is, i put mean, medium, and mode for the first try adn it gave me partial

Answers

Answer:

All of them but the last one

Step-by-step explanation:

Simplify this expression . With each step. please (x2 - x - 2)/(x2 + 5x + 4)

Answers

Answer:

I hope dis helps

Step-by-step explanation:

Simplify  

           x2 + 5x + 4

Trying to factor by splitting the middle term

1.1     Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  1

                    x2 - 2x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-2)

            Which is the desired factorization

Trying to factor by splitting the middle term

1.2     Factoring  x2+5x+4

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +4

Step-1 : Multiply the coefficient of the first term by the constant   1 • 4 = 4

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   5 .

     -4    +    -1    =    -5

     -2    +    -2    =    -4

     -1    +    -4    =    -5

     1    +    4    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  4

                    x2 + 1x + 4x + 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+1)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+1)

            Which is the desired factorization

Canceling Out :

1.3    Cancel out  (x+1)  which appears on both sides of the fraction line.

Final result :

 x - 2

 —————

 x + 4

Rewrite 9 to the 3rd power divided by 9 to the 9th power using a single, positive exponent

Answers

Answer:

[tex] \dfrac{1}{9^6} [/tex]

Step-by-step explanation:

[tex] \dfrac{9^3}{9^9} = 9^{3 - 9} = 9^{-6} = \dfrac{1}{9^6} [/tex]

For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?

A. Both f(x) and g(x) cross the x-axis at 5.
B. Both f(x) and g(x) cross the y-axis at 5.
C. Both f(x) and g(x) have a maximum or minimum value at x = 5.
D. Both f(x) and g(x) have the same output value at x = 5

Answers

Answer:

D

Step-by-step explanation:

f(x) = g(x) at x=5

means

f(5) = g(5)

Describe a set of transformations that would map Triangle FGH onto Triangle F’G’H’

Answers

The translations would be this

1) reflection over the x-axis
2) translation of (-6,0)

find the derivative pls !!

Answers

The answer d/ds(5/2(s^2-1)(s^3+5))
=5/2s(5s^3-3s+10)

Find the volume of a cylinder with a radius of 4 meters and a height of 13 meters. Use * 3.14​

Answers

Hey there!

Question:

Find the volume of a cylinder with a radius of 4 meters and a height of 13 meters. Use * 3.14.

Solution:

Given,

radius of the cylinder = 4 m

height of the cylinder = 13 m

To find: The volume of the cylinder (where pi = 3.14)

We know that volume of cylinder

[tex] \pi {r}^{2} h[/tex]

Now by using the formula = 3.14 × (4) × (4) × 13

= 3.14 × 208

= 653.12 m³

Hope it helps

What is the best next step in the construction of the perpendicular bisector of AB?

Answers

Answer:

B

Step-by-step explanation:

Out of all the answers given as a choice B makes the most sense because the triangle AB and point of intersection of the two circles form an equilateral triangle.

In general to construct a perpendicular bisector after we drew the two circles we have to ...draw a straight line trough the points where the two circles intersect and that is our perpendicular bisector of AB.

Solve the following equation

Answers

Answer:

Write it down in comments i can barely see

Step-by-step explanation:

Mrs. Murray wants to hang lights around the edge of the ceiling. The ceiling measures 14.5 feet by 9.6 feet. What is the perimeter, in feet, of Mrs. Murray's ceiling?
What is the perimeter of the ceiling in inches.

Answers

Answer:

48.2 feet

or

578.4 inches

Step-by-step explanation:

Perimeter is the distance around the shape or in this case the room. Assuming the room is a rectangle you would have two walls of the same length totaling 4 walls.

To find the perimeter add up 14.5 + 14.5 + 9.6 + 9.6 = 48.2 feet

Since it askes for the answer in inches you have to convert from feet to inches by multiplying your answer by twelve.

Check photo! simple easy 7th grade math.

Answers

Answer:

$114.19

Step-by-step explanation:

7.25*15 = 108.75

108.75*1.05 = 114.1875

You can't have less than a cent, so it is $114.19

Answer: $114.19

Step-by-step explanation:

Find the time required for an investment of 4,000 dollars to grow to 9,000 dollars at an interest rate
of 5% per year, compounded monthly. Give your answer accurate to 2 decimal places.
years.

Answers

Answer:

25 years

Step-by-step explanation:

the table shows the fees david charges for yard work

how much does david charge for yard work that takes 4.5 hours​

Answers

157= one hundred and fifty seven

There are 2 triangles and 6 circles. What is the simplest ratio of triangles to circles?

Answers

Answer:

1: 3

Step-by-step explanation:

2 triangles : 6 circles

Divide each side by 2

2/2 : 6/2

1 :3

1 triangle : 3 circles

1. If you have a 100A as a grade and you get 8 bonus points, what is your grade now?

2. If you have a 90B as a grade and you get 8 bonus points, what is your grade now?

**ANSWER QUICK**

Answers

Answer:

1) 108 A+    2) 98 B+

Step-by-step explanation:

What is the distance between (2, 6) and (7, 6)?
8
(2,3)
+17,6)
4
2

Answers

Explanation:
The formula for calculating the distance between two points is:
d=√(x2−x1)^2+(y2−y1)^2
Substituting the values from the points in the problem gives:
d=√(7−2)^2+(4−−6)^2
d=√(7−2)^2+(4+6)^2
d=√5^2+10^2
d=√25+100
d=√125
d=√25⋅5
d=√25√5
d=5√5

Pi/3 is the reference angle for

Answers

Answer:

Trigonometry Examples

Since π3 is in the first quadrant, the reference angle is π3 .

Since π3 is in the first quadrant, the reference angle is 60 degrees

Step-by-step explanation:

HOPE THIS WILL HELP YOU

3. Choose the graph that shows the solution of the inequality on the number line. n > 4
O
0
2 4 6
8
+444
2
4 6 8
02
4 6 8
0 2 4
6
8

Answers

Wdym bye this I wil need a link

SOLVE PLSEEE I GIVE POINTS

Answers

Since the diameter for a segment is 68 centimeters long, we must divide that number by 4, since there are four circles. Next, we get 17.

Then, we use the formula for solving a circle, which is [tex]A = \pi r^2[/tex]. Plug in 8.5 (half of 17) for the radius, and then convert pi into 3.14. The equation should now look something like this: [tex]A = 3.14 * 8.5^2[/tex]. When solving, we get 265.865 for one circle only. We next multiply 256.856 by 4 since there are four circles. After multiplying you should get a total of 907.46 centimeters squared.

If this isn't correct, then do the same thing, but the radius is 34 centimeters.

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