The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)

Answers

Answer 1

Answer:

There's two answers.

-5, -4, and -3

3, 4, 5

Step-by-step explanation:

[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]


Related Questions

Which of the following is equivalent to -(7/4) ?

A. 7/-4



B. -7/-4



C. 4/-7



D. 7/4

Answers

Answer:

A

Step-by-step explanation:

-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.

So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative

C is wrong because its 4/7, not 7/4

D is wrong because it's positive, leaving us with A


Find the midpoint of the line segment joining the points (9,2) and (-3,-2)

Answers

Answer:

(3,0)

Step-by-step explanation:

The midpoint formula is as follows:

[tex]( (x1+x2) /2, (y1 + y2) /2 )[/tex]

x1 would be 9, x2 would be -3, y1 would be 2, y2 would be -2. When plugged in, you should get 6/2, and 0/2 for y. When simplified, x would be 3 and y would be 0. This means that the midpoint of the line segment is (3,0)

find x (11x-1) (20x-3) 151

Answers

Answer:

x=5 I think

Step-by-step explanation:

just search it up online

Shopping spree. Greg is shopping in a large urban depart-

ment store with many floors. He enters the store on the

middle floor from a skyway, and he goes directly to the

credit department. After making sure his credit is good, he

goes up three floors to the housewares department. Then

he goes down five floors to the sporting goods department.

Next, he goes up six floors to the media department. Finally,

he

goes

down ten floors to the main entrance to the store on

the first floor at ground level and leaves to go to another store.

How many floors does this department store have if it has no

basement?

Answers

Answer:

12 floors

Step-by-step explanation:

middle +3 floors= +3 .

+3 - 5 = -2.

-2 + 6= +4.

+4 - 10 = 6 x 2 = answer 12

to clarify the plus or minus mean how many floors he is above or below   the middle floor

Charlie graphs the equation y= –12x+2 .



Select all statements about Charlie's graph that are true.




The graph is a straight line.

The line does not pass through the origin.

The line passes through the point (0, –2) .

The slope of the line is 12 .

The y-intercept of the line is 2.

Answers

Answer:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Step-by-step explanation:

I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line).  In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)

Hope this helped you

If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.

Answers

Answer:

dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]

Step-by-step explanation:

-y + 2x²- x = -5y³

2x² - x = y - 5y³

4x - 1 = dy/dx - 15y².dy/dx

dy/dx(1 - 15y²) = 4x - 1

dy/dx = [tex]\frac{4x-1}{1-15y^{2} }[/tex]

Help please! Explain it to me. And give an idea to create ​

Answers

Answer:

You could design a solar panel.

Step-by-step explanation:

Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.

(What the question is asking is that you design a product in which some of the aspects listed would be imitated)

Need help will mark brainliest

Answers

Answer:

AB≅AC  (two legs of isosceles triangles are always equal)

6x-14 = 4x+20

2x-14 = 20

2x = 34

x = 17

Base ⇒ 7x-12

           = 7(17)-12

           = 119-12

           = 107

Answer:

x=17, 107

Step-by-step explanation:

Since it is given that the triangle is isosceles, we can make the following equation:

6x-14=4x+20

x=17

To find the base (7x-12), all you have to do is plug in the value of x

7x-12

7*12-12

107

I hope this helps :)

What is the range of the function on the graph?​

Answers

Answer:

The range is greater than or equal to -3

Step-by-step explanation:

The range is y.

At y  = -6, x doesn't have values.

At y = -3, x stops; therefore, y is greater or equal to -3.

At y = 2, x has values.

Find the length of C using the Pythagorean theorem

Answers

Answer:

14^2+48^2=2500 sqrt2500= 50 c=50

Step-by-step explanation:

The length of c using the Pythagorean theorem is 50 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC which is right angle triangle

AB=c

BC=14 and AC=48

We have to find the value of c

By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

AB²=AC²+BC²

c²=48²+14²

c²=2304+196

c²=2500

Take square root on both sides

c=√2500

c=50

Hence, the length of c using the Pythagorean theorem is 50 units.

To learn more on trigonometry click:

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What value of x makes the equation true?

6x+8=3x-19

A. x = 3
B. x = -3
C. x = -9
D. x = -11/3

Correct answer will get brainiest!

Answers

Answer:

C

Step-by-step explanation:

Given

6x + 8 = 3x - 19 ( subtract 3x from both sides )

3x + 8 = - 19 ( subtract 8 from both sides )

3x = - 27 ( divide both sides by 3 )

x = - 9 → C

Which expression is equivalent to (3w−8)−4(2w+3)

Answers

Answer:

-5w -20

Step-by-step explanation:

(3w-8) -4(2w+3) start by removing the parentheses

3w-8-4(2w+3)

-5w-8-12 collect like terms

-5w-20 and that's how you get the answer

a spinner with 10 equally sized slices has 2 red slices, 4 blue slices, and yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice.
(Write your answer as a fraction in simplest form).​

Answers

Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.

The probability that the dial stops on a red slice is 1/5 or 20%.

What is Probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

Given:

number of total slices = 10

Red slices = 2

Blue slices= 4

Yellow slices= 10- 6 = 4

Now, probability that the dial stops on a red slice

=2/10

=1/5

=1/5 x 100

=20%

Hence, the probability that the dial stops on a red slice is 1/5 or 20%..

Learn more about probability here:

https://brainly.com/question/11234923

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Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Answers

Answer:

Step-by-step explanation:

7x + 14 = 8.4x

14 = 1.4x

x = 10 hours

Each works 10 hours. Their total is 84 dollars each.

Elena is playing a dice game with her father. She will win if she DOES NOT roll a 1, 3, or 6. Find the probability that Elana wins on her next roll.

Answers

Answer:

The probability that she was on her next roll is 1/2

Step-by-step explanation:

If she does not roll 1,3 or 6, she wins

So if she rolls 2,4 and 6 , she wins

The probability of rolling each is 1/6 each

So the probability of rolling any of the three will be:

1/6 + 1/6 + 1/6 = 3/6 = 1/2

Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.

Answers

Answer:

48 days

Step-by-step explanation:

Given that :

Sumiko runs bleachers every 6 days

Jandella runs bleachera every 16 days

The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16

Multiples of

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...

16 : 16, 32, 48, 64,...

Lowest common multiple of 6 and 16 = 48

Hence, the soonest they'll see each other again is in 48 days

Nathan writes an essay with a total of 583 words. Every line of his essay has 11 words.
How many lines long is Nathan's essay?

Answers

Answer:

53 lines

Step-by-step explanation:

You would divide 583 by 11, and that would get you your final answer of 53 lines.

Answer:

53 lines

Step-by-step explanation:

11 words → 1 line

583 words → (1/11 x 583) lines = 53 lines

Expand and simplify 6(2x - 3) -2 (2x + 1)

Answers

Answer:

8x-20

Step-by-step explanation:

The answer to the question is 8x-4

Find the square root of 36 by prime factorisation
method​

Answers

Answer:

36

2×18

2×9×2

2×2×3×3

=> square root of 36 =6

It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?


A.

1.1 hours

B.

3.6 hours

C.

5.4 hours

D.

7.2 hours

Answers

Answer:

7.2 I think, closest to 8 hours?

Guys plz help me answer this question!!!

Answers

Awnser:

1/2 as m, and -3 as b

Step-by-step explanation:

To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate.  However, it only asks for b and m.

You'll need to first find 2 points.

I chose: (6,0) and (0,-3).

The formula to find the slope is: y2-y1/x2-x1.

0-(-3)/6-0

0+3/6

3/6

1/2

Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.

So the awnser is 1/2 as m, and -3 as b.

Need help will mark brainliest

Answers

Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

6x+3x+x=180 Simplify!

10x=180

x=18

What is 2/5 + + 2/5 + 2/5
(2/5 times 3)

Ty

Answers

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/5 + 2/5 + 2/5 = 6/5 or 1 1/5

This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5

Step-by-step explanation:

can someone convert that to point slope form and tell me the steps?

Answers

First you need to get x to the other side so subtract it from each side to get
-2y=-x-2
Then divide everything by negative 2 and you have your answer
y=1/2x+1
1x-2y=-2
-1x -1x
-2y=-1x-2
-2 -2 -2
y=1x+1
2

(The form is y=Mx+b so we want the y in front of the equation so we solve for x)

We divide -2 because we want the y isolated(aline and we want the y positive too)

And there is your answer

Hope this helps :D

help no good at maths

Answers

We know that all angles of a triangle equal 180 when added together. We have two angle measures which are 3/2x and 1/2x
***3/2x + 1/2x + x = 180 degrees***
For the other way you can switch around the positions of the angles in the equation as long as the = stays 180 so like
X + 3/2x + 1/2x = 180
180 + x + 1/2x + 3/2x
Or maybe change the 3/2x to 1 1/2x

g(x) = 9(2x2 + 6
)
Determine g(1)

Answers

Answer:

g(1) = 72

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

g(x) = 9(2x² + 6)

g(1) is x = 1

Step 2: Solve

Substitute:                    g(1) = 9(2(1)² + 6)Evaluate:                       g(1) = 9(2(1) + 6)Multiply:                        g(1) = 9(2 + 6)Add:                              g(1) = 9(8)Multiply:                        g(1) = 72

What is the equation of the exponential function that passes through (0,10) and (3,80) ?

A. y= 80(20)^x
B. y=10(2)^2
C. y=2x+10
D. y=3x+8

Answers

Answer: B

Step-by-step explanation:

Answer is b because Ik it is

Can you help me? Thanks!

Answers

Answer:

the answer is here

Step-by-step explanation:

180- 68

=112

If a = -9 and b = 4, what is the value of a + b ?
A. -5
B. 5
C. -13
D. 13

Answers

Answer:

A. -5

Step-by-step explanation:

-9 + 4 = -5

hope this helps

If f(x) = x and g(x) = X + 2, which statement about the graphs of the functions is true?
A. g is a translation of f 2 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left and 2 units down.
D. g is a translation of f 2 units up.
PLEASE HELP ME DUE IN 10 minutes!!!

Answers

Answer: D

Step-by-step explanation: +2 would be an upwards translation

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