Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

Answers

Answer 1

Let n represent the interger l, the three consective intergers are represented by

[tex]n[/tex]

[tex]n + 2[/tex]

[tex]n + 4[/tex]

The second one represent

[tex](n + 2) {}^{2} + 76 =( n + 4) {}^{2} [/tex]

Simplify both sides

[tex]n {}^{2} + 4n + 4 + 76 = {n}^{2} + 8n + 16[/tex]

[tex] {n}^{2} + 4n + 4 = {n}^{2} + 8n - 60[/tex]

[tex]4n + 4 = 8n - 60[/tex]

[tex]4n + 64= 8n[/tex]

[tex]64= 4n[/tex]

[tex]n = 16[/tex]

The intergers are 16,18,20


Related Questions

Help me asap!!pleaseeee

Answers

Answer:

a

Step-by-step explanation:

yes

1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?

Answers

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5

HELP ME PLEASEEEEEEEEEEEEEEEEE

Answers

The answer is just x

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

Help me out plssss thank u

Answers

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

Please help !!!!!!!!!!!!!!!!!

Answers

for you but try the first 1 or the third

Which mathematical sentence most Accurately expresses the information in the problem below?

See Picture....

Answers

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

WILL MARK YOU IF YOU CAN HELP plz help me understand this to or add one of my socials to help me with geometry:(

Insta:aesthetictoxicbabe
Snap:Toxicangelbby

Answers

Answer:

17x + 2 = 16x+6

17x-16x= 6-2

x=4

Answer:

5.21212121

Step-by-step explanation:

The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.

YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.

What is X? (I forget how to do this)

Answers

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer:

2/3

Step-by-step explanation:

Gradient of line

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

= (3-(-1))/(4-(-2))

= (3+1)/(4+2)

= 4/6

= 2/3

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 4 / 7

Step-by-step explanation:

tan A = opp side / adjacent side

tan A = 4 / 7

Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT​

Answers

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

he monthly sales of furniture stores in Dubai were collected and summarized. The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively. The distribution of the monthly sales is

symmetrical.

none of the above.

positively skewed.

negatively skewed.

Answers

Given:

The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.

To find:

The distribution of the monthly sales.

Solution:

We know that,

For symmetrical distribution, mean is equal to median.

For positively skewed distribution, mean is greater than median.

For negatively skewed distribution, mean is less than median.

We have,

Mean of the monthly sales =  130,000 AED

Median of the monthly sales = 170,000 AED

Here, Mean is less than the median because 130,000 < 170,000.

Therefore, the distribution is negatively skewed. Hence, the correct option is D.

write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50

Answers

Answer:

The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Step-by-step explanation:

Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:

5X + 7 x (X + 8.50) = 245.50

5X + 7X + 59.50 = 245.50

12X + 59.50 = 245.50

12X = 245.50 - 59.50

12X = 186

X = 186/12

X = 15.50

Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

.....................................:.

Answers

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

Evaluatef(x) = 2.5x-11 when x = 4

Answers

Answer:

-1

Step-by-step explanation:

f(4) = 2.5(4) -11

f(4) = 10 -11

f(4) = -1

I’ll mark brainliest

Answers

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

You can use a graph app or website where you can type in the equation then it will draw it for you.

what does it mean if the pA group of participants were given a measure of positive mood after exposure to classical music and then again after exposure to country music. Researchers want to determine if there is a statistically significant difference in the mean test scores based on type of music. The most appropriate statistical test to see if the scores differ is a(n) value is greater than .001

Answers

Answer:

Repeated measures(dependent samples t-test).

Step-by-step explanation:

Repeated measures (dependent samples t-test ):-

(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.

Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).

What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)


Answers

I tried every combination. there seems to be something wrong with the informations you gave.

the second equation contains errors, and none of these 4 points can be solutions to the first equation alone

Find the surface area of the prism.

Answers

Answer:

D

Step-by-step explanation:

Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2

Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft

LA= base perimeter x 24 = 36 x 24 = 864 ft^2

SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2

Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.

how many blue marbles are in the bag?
Select one:

6

30

15

20

Answers

Answer:

20 is it's right answer I think ok

A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased. ​

Answers

9514 1404 393

Answer:

  $250 +HST (HST is undefined here)

Step-by-step explanation:

It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.

The walkway is 12 yards long and 1 yard wide, so will require 12 pads.

The total volume of concrete required for the walkway is ...

  (12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³

Only whole cubic yards can be purchased, so 2 are needed.

The cost is ...

  ($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway

__

The HST rate is not given here, so we cannot compute the amount of added tax.

There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?

Answers

3, 6 divided by 2 is 3

Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Only answer if you're very good at Math.

Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?

A: ( g o f) (x) = x^2 + 1

B: ( g o f) (x) = (x + 1)^2

C: ( g o f) (x) = x ^ 2 + x + 1

D: ( g o f) (x) = x^2 (x + 1)

Answers

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

B) (gºf)(x) = (x + 1)^2

Here is an inequality: -2x > 10
List 3 values for x that would make this inequality true.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-6, -7, -8

[tex]\boxed{x<-5}[/tex]

»»————- ★ ————-««  

Here’s why:  

We first need to solve the inequality for 'x' using inverse operations.

⸻⸻⸻⸻

[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]

⸻⸻⸻⸻

Any number less than the value of -5 would be a solution to the given inequality. Some examples would be: -6, -7, -8, but as mentioned, you can pick any number less than -5.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)

Answers

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Give an example of a composite number written as a product of primes.
Choose the correct answer below.
A. 60 = 2 x 2 x 15 or 60 = 22 x 15
B. 41 = 1x41
C. 28 = 2x2x7 or 28 = 22x7

Answers

c. 28=2x2x7

explanation: 28 is composite while 2 and 7 are prime numbers

58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.​

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to include the graph.

During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.

Answers

Answer:

t think the answer is 1040.

5th grade math. correct answer will be marked brainliest

Answers

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

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