Find two posiitive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer.

Answers

Answer 1

Answer:

The two numbers are 4 and 6

Step-by-step explanation:

Suppose we have:

x=The smallest even integer

x+2=Next even integer

Recall even numbers occur every other integer.

The condition of the problem states the square of the smaller integer is 10 more than the longer integer:

[tex]x^2=10+x+2[/tex]

Rearranging and simplifying:

[tex]x^2-x-12=0[/tex]

Factoring:

[tex](x-4)(x+3)=0[/tex]

We have two solutions:

x=4, x=-3

Since the integers must be positive:

x=4

Next even integer= x+2=6

The two numbers are 4 and 6


Related Questions

-20/5= ???????

PLZ HELP

Answers

Answer:

-4

Step-by-step explanation:

the answer is negative 4
hope this helped!

I NEEED HELP WITH THIS MATH

Answers

Answer:

3. they combined like factors incorrectly X=21.5

4. Supplementary means it's equal to 180, not 90. they did it as if the angle was acute. The answer should be 133 degree

5. The two angles are not equal. however, the two angles added together equal to 180.     115+ 5x -10 = 180   X=15

Step-by-step explanation:

3. 8x + 8 = 180

8x + 8 - 8 = 180 - 8

8x = 172

8x/8=172/8

x=21.5

4. 180-47= 133

5. 115 - 10 + 5x = 180

105 + 5x = 180

105-105+5x=180-105

5x=75

5x/5=75/5

x=15

Say a certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at an average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018?
a.
70%
b.
-27%
c.
-17%
d.
-75%


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The answer is B!

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 63000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 63000, so we can write it down as 100%=63000.

4. We know, that x% equals 17000 of the output value, so we can write it down as x%=17000.

5. Now we have two simple equations:

1) 100%=63000

2) x%=17000

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=63000/17000

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17000 is what percent of 63000

100%/x%=63000/17000

(100/x)*x=(63000/17000)*x       - we multiply both sides of the equation by x

100=3.7058823529412*x       - we divide both sides of the equation by (3.7058823529412) to get x

100/3.7058823529412=x

26.984126984127=x

x=26.984126984127

now we have:

17000 is 27% of 63000

Answer:

-27%

Step-by-step explanation:

Help!!!! Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40.


Which statement is true about the solution c=40?


1. The solution c=40 is the amount in dollars that Teah spent on a box.

2. The solution c=40 is the number of candy bars Teah sold.

3. The solution c=40 is the selling cost of each candy bar, in dollars. (Wrong)

4. The solution c=40 is the profit in dollars Teah made from each candy bar.

5. The solution c=40 is the selling cost of a box of candy bars, in dollars.

Answers

Answer:

The answer is 2

Step-by-step explanation: It is 2 because you can just use the process of elimination 1 is wrong because you know how much she spent on a bod $25 and 3 is wrong because she is selling the candy bars for $2.50 we know that the story tells us that and 4 is wrong because the story tells us her profit was $75 not $40 and 5 is wrong because we already know the selling cost of a box of candy bars in dollars $25 so when you use the process of elimination trick you only have 1 answer left and that's 2.

2 is the answer

-7 + a = 3
Given the above equation, what is the value of
10-[(a -3) - 7]?

Answers

Answer:

10

Step-by-step explanation:

a=3+7

a=10

10-[(10-3)-7]=

=10-[7-7]=

=10-0=

=10

The solution of expression 10 - [(a - 3) - 7] would be 10.

Given that,

The equation is,

-7 + a = 3

Now, we can simplify the equation as,

- 7 + a = 3

a - 7 = 3

Subtract 3 on both sides,

a - 3 - 7 = 0

(a - 3) - 7 = 0  .. (i)

Here, the equation to simplify is,

10 - [(a - 3) - 7]

Substitute the value from equation (i),

10 - 0

= 10

Therefore, the solution of expression is 10.

To learn more about the equation visit:

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6) Jackson is starting an excersie
program. The first day he will spend 30
minutes on the tredmill. He will increase is
time on the tedmill by 2 minutes each day.
Write an equation for t, the time in minutes
on the tedmill on day, d.

Answers

Answer:

t+d

Step-by-step explanation:

2y + 4 = x + 2
Plz help solve for x in terms of y

Answers

Answer:

x=2y+2

Step-by-step explanation:

Answer:

2y + 2 = x

Step-by-step explanation:

Treat is like a normal equation and solve with inverse operations:

2y + 4 = x + 2

    -2         -2

2y + 2 = x

Someone please help me

Answers

To hit the bulls eye the table would read
x=3.5 y=2

Carmine delivers newspaper every moming He can deliver 6 papers every 12 minutes of Carmine delners newspapers at the same rate, how long does it take him to deliver 30 newspapers? Use the tape diagram to help you. 12 min Dape paper paper paper pane To 2 minutes B 60 minutes с 24 minutes 72 minutes​

Answers

Answer:

B  60 minutes

Step-by-step explanation:

if you divide 12 and 6 you get 2 so you multiply 30 and 2.

my brain is not working anymore guys, can you help me out?

47 degrees 23' - 73 degrees 48'

Answers

Answer:

47.383°

i think this is the answer, if its wrong im sorry

Step-by-step explanation:

I converted it to degrees, minutes, and seconds by leaving the number to the left of the decimal the same and manipulating the decimal

Answer:

i was dead for a while but looks like you might have to add diviide crazy stuff like that

Step-by-step explanation:

if pooh bear got a bucket of honey and hops got one how much do I need to steal from hops >;3

Answers

Answer

all of it

Step-by-step explanation:

Answer:

one bucket/all of it

Step-by-step explanation:

HELPP!!! I need help!

Answers

Answer: c.

Step-by-step explanation:

x^2 + 2x - 5 - (x - 3)

distribute the negative

x^2 + 2x - 5 - x + 3

combine like terms

x^2 + x - 2

Answer:

B

Step-by-step explanation:

You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.

Write a single transformation that maps ABC onto A' B' C'

Answers

9514 1404 393

Answer:

  Either of ...

(x, y) ⇒ (-x, -y)Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

How did u get ur answer

Answers

Step-by-step explanation:

for what ???????????????????

a groocly store sells different type of trail mix as shown in the table above which statement is correct

Answers

Answer:

A   Trail mix a would be the best buy

Step-by-step explanation:

One pound of trailmix a is cheaper than one pound of the other options

a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk

Answers

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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What is the approximate distance between the pints (9, 2) and (4, 8)?

Answers

Answer: aproximently d

Step-by-step explanation:

What is the answer to 3(2x+5)=3x+4x

Answers

6x+15=3x+4x

6x+15=7x

15=7x-6x

15=1x

x=15/1

x=15

3(30+5)=45+60

3(30+5)=105

45+60=105

so x=15

y=1x-3 find the value of y​

Answers

Answer:

Find the Slope and y-intercept

Use the slope-intercept form  

y=mx+b

to find the slope  

m and y-intercept  

b.

Slope:  

1

y-intercept:  

(0,3)

Step-by-step explanation:

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizontal distance in yards and y is the corresponding height in yards.

What is the football’s maximum height? Round to the nearest tenth.
yds.
How far is the football kicked?
yds.

Answers

Answer:

Maximum height: 19.5 yards

Football kicked: 51 yards

which expression is equivalent to −34÷(−812)?

Answers

Answer:

-34/-812 = 17/406

Step-by-step explanation: i think this is right...

Answer:

Your answer is: Look Below ↓

Step-by-step explanation:

Hope this helped : )

A billboard on level ground is supported by a brace as shown in the accompanying diagram the measure of angle is 15° greater than twice the measure of angle b determine the measure of angle a in the measure of angle b

Answers

Answer:

has a right angle to hold the billboard upright. Since a triangle is 180, and there' s a right angle, then when you add angle A and angle B together, they should add up to 90.

Step-by-step explanation:

A  = 2B + 15

A + B = 2B+15 + B = 90

3B + 15 = 90

3B = 75, so B = 25 degrees

90 - B = A, so A = 65 degrees

A tuning fork moves with a velocity of 28.7 m/s with a frequency of 128 Hz. What is the wavelength of the
sound wave being produced?
0.22 m
b. 4.46 m
3673.60 m
d. 156.70 m

Answers

B $:$:$;;$73 in drug hzsked

The value of the wavelength is 4.46m.The correct option is (b).

How to calculate the wavelength of a wave?

The wavelength of a wave is defined as the distance between any two consecutive crests and troughs. It can be calculated by taking the ratio of frequency and velocity.

The expression for wavelength is given as follows,

λ = f / v

Where λ is the wavelength, f is the frequency and v is the velocity of the wave produced.

Substitute the corresponding values to obtain,

λ = 128/28.7

  = 4.46

Hence, the wavelength of the wave produced by the tuning fork is given as 4.46 m.

To know more about wavelength click on,

https://brainly.com/question/13533093

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Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\

Answers

Answer:

y = 4 x + 7

Step-by-step explanation:

Which of the following sets represents a function?
O [(1, 2), (3, 2), (5, 7))
O [(3,5),(-1,7), (3,9)}
O [(1, 2), (1,4), (1, 6)

Answers

Answer:

(1, 2), (1,4), (1, 6)

Step-by-step explanation:

They're adding the Y-axis

Solve for x: the quantity of x plus 4 over 3 = 2.

A. x = −2
B. x = 2
C. x = 2 over 3

Answers

C .2/3

Step 1: Subtract 4/3 from both sides.

x+4/3-4/3=2-4/3

x=2/3

DEF is a right traingle if the three sides are 24 40 and 17

Answers

If it is, then the squares of the short side and the medium side add up to the square of the longest side.

Let's check it out:

Square of the short side = 17² = 289

Square of the medium side = 24² = 576

These two squares add up to (289 + 576) = 865

Square of the longest side = 40² = 1,600

865 is not equal to 1,600.

So these three numbers do not make a right triangle.

Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?

Answers

Answer:

c = $20.00 - $0.75(9)

Step-by-step explanation:

Multiply the cost of each book by the total number of books. Then, subject that from 20.

The population of a county is growing at a rate of 9% per year, compounded continuously. If the county currently has 14,934 people, how many will there be in this county in 10 years? Round to the nearest person.

Answers

100,344 is the answer

Hayleigh took a long multiple-choice, end-of-year math test. The ratio of the number of problems Hayleigh got incorrect to the number of problems she got correct is 2:9. If Hayleigh missed 8 questions, how many did she get correct?

Answers

Answer:

36

Step-by-step explanation:

If sh missed 8, then 8/2 is 4, 4x9 is 36

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