10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.

Answers

Answer 1

Answer:

  10, 12, 14  or  -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

  (x-2)(x) = 92 +2(x+2)

  x^2 -2x = 92 +2x +4 . . . eliminate parentheses

  x^2 -4x = 96 . . . . . . . . . subtract 2x

  x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

  (x -2) = ±√100 = ±10 . . . take the square root

  x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

  -10, -8, -6  or  10, 12, 14


Related Questions

What is the equation of a line that is parallel to y = -2x + 1 and passes through the point (3, -2)?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

Solve the equation. Show your work!
2. 2m + 1.5 = 3m - 11.7

Answers

Answer:

gek

Step-by-step explanation:

Simplify (2x + 5y) + (3x - 2y) ​

Answers

Answer:

5x + 3y

Step-by-step explanation:

Combine Like terms: 2x + 3x = 5x

                                   5x + (5y - 2y) = 3y

                                    Ans: 5x + 3y

                                   

Can y’all please help me with these questions

Answers

Answer:

13. STR

14. VY

Step-by-step explanation:

I hope this helps!

Which graph represents a linear function? (4 points)

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Answers

Answer:

The second option

Step-by-step explanation:

Linear means a straight line.

Choices 1, 2, and 4 are wrong because they are either a parabola or wavy, and by definition of both of these terms, they are not straight and are therefore not linear.

what is linear spline?​

Answers

9Linear splines

The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.

Help help help help math ASAP

Answers

Answer:that is 0.01541

Step-by-step explanation:

PLS PLS PLS PLS HELP :D <33

Answers

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

PLEASE HELP WILL MARK BRAINLIEST!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \sqrt{ {x}^{3} } [/tex]

[tex] \sf { ({x}^{3} ) }^{ \frac{1}{2} } [/tex]

[tex] \sf (x ){}^{3 \times \frac{1}{2 }} [/tex]

[tex] \sf{x {}^{ \frac{3}{2} } }[/tex]

Hence, the required power in fractional form is ~

[tex] \sf \frac{3}{2} [/tex]

pls help it is math for 7th grade.

Answers

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8

Solve the following systems of linear equations below by elimination or by substitution method. y = 4/3 x - 9
y = x + 3

Answers

Answer:

x=33 and y=36

Step-by-step explanation:

You can rewrite the equation into

x+2=4/3x-9

Now you can subtract 2 on both sides

x=4/3x-11

Now subtract 4/3x on both sides:

-1/3x=-11

Multiply -3 on both sides:

x=33

Now substitute x with 33

y=33+3

y=36

Thus x=33 and y=36

Hope this helps!

(y-5)+0=(y-5)
Identify the property

Answers

Answer:

Identity property of addition

Step-by-step explanation:

Divide using polynomial long division.
2. (x² + 7x +44) = (x +4)

Answers

Answer:

the answer is given in the photo below

What is the slope of a line that is parallel to the line y = 3/4x + 2?




Answers

Answer:

E

Step-by-step explanation:

1+2+2+1

Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 2.1
%
%
loan. Frederick doesn't want to pay more than $189 in interest. How many years does Frederick have to pay back the loan?

Answers

Answer:

3 years

Step-by-step explanation:

$3000(.021)=$63 per year.

189/63=3 years.

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

Which of the following word phrases describe the expression y + 3?

A.three less than y
B.the sum of y and 3
C.the product of y and 3
D.three more than y

Answers

B. The sum of y and 3

Hope you find this helpful!
Brainliest and a like is much appreciated!

SOMEBODY HELP NO LINKS PLZ AND THANK YOU

two stores opened on the same day. Both stores have 75 customers by the end of the first week, Store A'S customers doubled each week for six weeks, Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5 ?

A Store A
B Store B
C They have the same number of customers
D Not enough information

show work plz and thank you

Answers

Answer: store b

Step-by-step explanation:

Answer: b

Step by step explanation

Hello, good night, can someone help me?

Answers

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

I believe the answer is b I hope this helps.

Describe how to determine the average rate of change between x = 2 and x = 5 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answers

Answer: The average rate of change is 56.

Given that, f(x)=2x^+1

We need to determine the average rate of change between x=2 and x=4 for the function.

Please help!!!! Will give brainliest!!!!

Answers

Answer:

it is c

Step-by-step explanation:

(5 + 16) = 7 + (4 x 7) =
Bidmass

Answers

Answer:

(5 + 16)=7 + (4 x 7)

Step by step - explanation:

Solve:

Add the numbers

(5 + 16)= 21.

(4 x 7) = 28 + 7 = 35.

So the result is 21 = 35.

Hope that helps. x

Answer:

Step-by-step explanation:

(5+16)=7+(4.7)

(21)=7+(4.7)

21=7+(4.7)

21=7+(28)

21=7+28

21=35

Answer: 21=35

Please help to answer the question below

Answers

Answer:

angle 2 and angle 3 are corresponding angles.

Answer:

2 and 3 corresponding, angle 2 and angle 3

12. Graph each using graph paper:

X<5

Answers

Answer:

Step-by-step explanation.

A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow

Answers

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld?
giving crown

Answers

Answer:

278.5

Step-by-step explanation:

W/5+20=22. How do I do this

Answers

Answer:

W = 10

Step-by-step explanation:

W / 5 + 20 = 22

W / 5 - 20 = 22 - 20

W / 5 = 2

W * 5 = 2 * 5

W = 10

Step-by-step explanation:

[tex] \frac{w}{5} + 20 = 22 \\ \\ \frac{w}{5 } = 22 - 20 \\ \\ \frac{w}{5} = 2 \\ \\ w = 5 \times 2 \\ \\ w = 10[/tex]

solve the sinusoidal equation:


5sin(3x)-1=3

Answers

Answer:

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Step-by-step explanation:

[tex]5sin(3x)-1=3[/tex]

[tex]5sin(3x)=4[/tex]

[tex]sin(3x)=\frac{4}{5}[/tex]

[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Please some urgent help!!!!

Answers

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker

The anwser would be 2.
This is because of the blue line in the middle so you only have to count one half
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