Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.

Answers

Answer 1

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.


Related Questions

i need help with this questionnnn

Answers

I am going to say 3
The answer is 1.7 ! :D

Maths equation need help please

Answers

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

Can someone explain why the answer is True. Will make brainliest.

Answers

Answer:

True

Step-by-step explanation:

With Sin and Cos, the rule is that the opposites are the same:

SinA=CosB

CosB=SinA

In this problem, it is showing SinA=cosB, so it is the same, it is true.

Hope this helps!

Can I get help with number 19

Answers

Answer:

D

Step-by-step explanation:

x = 2 and y = -7

Plug those values into the equation:

2(2) - (-7) = 11

NO LINKS PLZ, BUT I RLLY NEED HELP!​

Answers

Answer:

Step-by-step explanation:

b

The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?

Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75

Answers

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Venn is the circles and the tree is the green one (ignore the other thing on tree)

if there's a how and a guy picks her up who's getting abused​

Answers

what does this even mean

A jar contains 10 red​ marbles, 30 blue​ marbles, 10 green​ marbles, and 35 orange marbles. Find the probablilty of picking a marble.

Answers

Answer:

6/17

Step-by-step explanation:

The amount of blue marbles is 30, over the total number of marbles, which is 85. 30/85 simplifies to 6/17, which is the probability.

Hopefully this helps - let me know if you have any questions!

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours


A. 256,000
B.40,500
C. 9,000
D. 4,500



(I NEED ANSWERED ASAP ) this my same question from the first one )

Answers

The answer is 9000 multiply the 9 by 2 and then multiply that answer by 500 which will be equal 9000
D, I think it’s a pretty simple equation 500 times 9 = 4,500

Plot the x-intercepts, the y-intercept, and the vertex of the graph (Must use Desmos!)

Answers

Answer:

x-intercept: (-1,0)

y-intercept: (0,3)

Vertex: (-2,-1)

Step-by-step explanation:

Mark sorted a set of shapes into two different categories. Explain, what two attributes were used to sort the shapes. help please!!

Answers

Group A parallelogram, Group B Quadrilateral.

Answer: Parallelogram and Quadrilateral.

The  two ways of classifying shapes are: Parallelogram and Quadrilateral.

There are different ways to classify an item.

How do one identify the type of quadrilateral?

Quadrilaterals can be known by;

It is a polygon with four sides.

Since rectangle is known to be a parallelogram that has four right angles.

A trapezoid is regarded as a quadrilateral with only one pair of parallel sides.

And Parallelograms are known to be shapes that has four sides with only two pairs of sides that are known to be parallel.

So we conclude that Group A parallelogram, and Group B Quadrilateral.

learn more about Quadrilaterals from;

brainly.com/question/16691874

#SPJ2

11. A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?
Please show work ty​

Answers

Answer: your answer should be 50%

Step-by-step explanation: This is because there are only four marbles in the bag total and only 2 are blue and only 2 are green so your chances of pulling out either is 50%

Answer:

33%

Step-by-step explanation:

2 blue marbles + 2 green marbles = 4 marbles

1st draw for blue:   2/4               (2 blue marbles out of 4 marbles)

2nd draw for green:   2/3          (1 less marble from 4, marble not put back in)

2/4  x  2/3   = 4/12 = 1/3 = 0.33 or 33%

ill give brainliest

Write and solve an equation to determine the unknown variable. Then find the measure of the unknown angles.

Your options are:

A. x + 7 + 2x - 40 = 180 One angle is 78 degrees and the other is 102 degrees

B. x + 47 = 180 The unknown angles are both 133 degrees

C. x + 7 + 2x - 40 = 90 One angle is 48 degrees and the other is 42 degrees

D. x + 7 = 2x - 40 The unknown angles are both 54 degrees ​

Answers

Answer:

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

How many real solutions exist for this system of equations? Y = -x + 1 y = -x2 + 4x − 2 A. Zero B. One C. Two D. Infinite

Answers

Answer:

Two solutions

Step-by-step explanation:

Given the functions Y = -x + 1 y = -x² + 4x − 2

Since they are both y values, we will equate them to have:

-x+1 = -x² + 4x − 2

Equate to zero

x²-x-4x+1+2=0

x²-5x+3 = 0

Since the resulting equation is quadratic (highest degree being 2), hence there will be two solutions to the equation

whats is the answer to this equation?

who ever gets the right answer gets 25 points.

Answers

Answer:

51.2 m

Step-by-step explanation:

To find perimeter add all sides up

Find the total surface area of the rectangular prism

Answers

Answer:

124

Step-by-step explanation:

To find the surface area, we add the area from all faces or the prism.

the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.

next the other face. 4  times 2.5 is 10, and there are two of these faces. 60 in out area.

now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124

Calculate the total surface area of the pyramid. Show your work!

Answers

Answer: 22.44

Step-by-step explanation:

Base × Height /2 → (3 × 2.24)/2

3.36 · 4 = 13.44

13.44 + 3²

22.44

The weights of four puppies are shown in pounds
9.5
9 3/8
9.125
9 3/4
Which list shows these weights in order from greatest to least?
9 3/4 9.5 9 3/8 9.125
9.5 9 3/8 9 3/4
9.125 9.125 9 3/8 9.5 9 3/4 9 3/4 9 3/8 9.5 9.125

Answers

The second one (9.5, 9 3/4, 9 3/8, 9.125)

How high is the hand of the superhero balloon above the ground?
The hand is ____ feet above the ground.

Answers

Answer: the answer is 66

Step-by-step explanation:

A right square pyramid has a base area of 200 square inches. Find its volume, if its height is 6 inches.
A. 33 in.
B. 400 in.
C. 3,600 in.
D. 1,200 in.

Answers

Step-by-step explanation:

400 in. is the correct answer

For a pyramid, volume= (1/3) x b x h where

B= base area, and

h= height .

So, volume= (1/3) x (200in^2) x (6in) = 400in^3.

- Chilio

Please help.
Is algebra.

Answers

Answer to question 1 is D

answer to question 2 is A

identify the pattern 3,7,11,15

Answers

Answer:

Step-by-step explanation:

3 7 11 15 19 23 27

xf(3)+3f(x)=x+6 f(6)=?​

Answers

answer: 36f/6f-1
solution: move all terms to left side and set equal to zero. then set each factor equal to zero.

A line that a graph approaches but does not reach. It may be a vertical, horizontal, or slanted line.

first two letters as

Answers

Answer:

asymptote

Step-by-step explanation:

solve for x round to your nearest tenth

Answers

The answer is x = 8.1

Please hurry I need this now !!!

1.What is the positive solution to this equation?
x2 – 12 = -11x
a. -12
b. 12
C. -1
d. 1

Answers

Answer:

b. 12

Step-by-step explanation:

Answer:

either a or d because they are both correct.

Step-by-step explanation:

Jlvesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is

the height of the rocket in centimeters, and the rocket was fired from the ground at timet = 0, where t is

measured in seconds.

Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h=-90t4 + 300t.

When is the height of the Model B rocket 250 centimeters? Round your answers to the nearest

hundredth.

After t =

seconds, the rocket will have reached a height of 250 centimeters.

Answers

Answer:

After t =  1.67 seconds, the rocket will have reached a height of 250 centimeters.

Step-by-step explanation:

Given

[tex]h = -90t^2 + 300t[/tex] --- correct expression

Required: When does height = 250 cm

To do this, we have:

[tex]h = 250[/tex]

This gives:

[tex]250 = -90t^2 + 300t[/tex]

Rewrite as:

[tex]90t^2 - 300t + 250 = 0[/tex]

Divide through by 10

[tex]9t^2 - 30t + 25 = 0[/tex]

Expand

[tex]9t^2 - 15t - 15t + 25 = 0[/tex]

Factorize:

[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]

[tex](3t - 5)(3t - 5) = 0[/tex]

This gives:

[tex]3t - 5 = 0[/tex]

Solve for 3t

[tex]3t = 5[/tex]

Solve for t

[tex]t = \frac{5}{3}[/tex]

[tex]t = 1.67s[/tex]

The radius of a circle is 1 inch. What is the area?

r=1 in

Give the exact answer in simplest form.

Answers

Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

Other Questions
Craigmont uses the allowance method to account for uncollectible accounts. Its year-end unadjusted trial balance shows Accounts Receivable of $130,500, allowance for doubtful accounts of $925 (credit) and sales of $1,055,000. If uncollectible accounts are estimated to be 7% of accounts receivable, what is the amount of the bad debts expense adjusting entry The author makes the claim that "in science they say emotions are something quite elusive." This claim could be better supported if How might a modern writer reinterpret a myth about a hero who saves hissociety from a monster?A. Change the story completely to make it about a man who kills tobecome king.O B. Just describe the hero being proud and strong but not takingaction.O C. Make the language simpler, but keep everything else exactly thesame.D. Keep the basic structure, but make the monster a modern dictator. Campbell Corporation uses the retail method to value its inventory. The following information is available for the year 2021: Cost Retail Merchandise inventory, January 1, 2021 $ 290,000 $ 290,000 Purchases 622,000 920,000 Freight-in 18,000 Net markups 30,000 Net markdowns 5,000 Net sales 900,000 Required: Determine the December 31, 2021, inventory by applying the conventional retail method using the information provided someone to help ? german Can anyone help me pls ? ( its talking about the blue dot ) will give brainliest!! Although women played an important role in the war, they found at the end of the war that they could not: A. make money, B. vote. C. own property. D. work. SUB What is the value of c^2-d^2 if c+d=7 and c-d=-2? gene that is typically observed Please help me only this!!! yea..... can sum1 help me pls Find the surface area. A thick steel slab ( 7800 kg/m3 , c 480 J/kg K, k 50 W/m K) is initially at 300 C and is cooled by water jets impinging on one of its surfaces. The temperature of the water is 25 C, and the jets maintain an extremely large, approximately uniform convection coefficient at the surface. Assuming that the surface is maintained at the temperature of the water throughout the cooling, how long will it take for the temperature to reach 50 C at a distance of 25 mm from the surface Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces Who painted the image above? 1. Tiffany bought a phone for $350. If the value of the phone depreciates at a rate of 6%per year, what would you pay for the phone after 3 years? Calculate the mean, median, and range of the data in the dot plot. Pls help it due soon Can you please help me 3. What is the axis of symmetry of the graph of function f(x) = x - 6x 1