Find two positive consecutive integers such that the square of the first added to three times the second is 24

Answers

Answer 1

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.


Related Questions

Please help


If 100% = Rs. 120, then


A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84​

Answers

Answer:

Simple: C. 70% = Rs. 84

Step-by-step explanation:

cause it can't be 120% if Rs.120 is the 100%

Help
Find the measure of angle x.
Skip
142°
O
X =
[?]
X
Enter

Answers

38 degrees.
EXPLANATION

There are 2 angles.

The angles must add up to 180.

So taking 180 and subtracting the already known angle, of 142.

Will get us with 38.

We can check the work by doing 38 + 142.

Hope this helps! have a gud day

HELP FAST THIS 6TH GRADE MATH!

Answers

Answer:

Fraction = 1/10

Decimal = 0.1

Step-by-step explanation:

If this is 6th grade, why did you put it under high school?(Just curious)

PLease help asap - 20 points

Answers

Answer:

this is your answer of your question look it once

Kim has 12 ounces of water. She pours some waer into a bottle that holds exactly 1 cup. How many ounces of water are left over after him fills the bottle.

Answers

Answer:

4 ounces

Step-by-step explanation:

the measurement of water and the bottle are in different units. This, they have to be converted to the same units

1 cup = 8 ounces

if the bottle holds one cup, it would hold 8 ounces

ounces of water left over = 12 - 8 = 4 ounces

Explain the difference in meaning between 8+6 divided by 2 and 8 divided by 6 divided by 2

Answers

Answer:

In first case it is (8+6) whole divided by 2 that is 8/2+6/2 where u will get the answer 7.

in next case it is (8/6) then divided by 2

which will be 8/6*1/2.

(while converting from division to multiplication remember to take the reciprocal of the number after division sign in this 2 will become 1/2)

so and will be 8/12. 2/3 will be the answer....

which is equivalent to the expression below?
8 (x + 4x)

A. -24x
B. 32x
C. 40x
D. -9x

Answers

8(x+4x)
=8x+32x
=40x
40x is ur answer

What is the slope of this graph?

Answers

Answer:

m = 4

Step-by-step explanation:

Points on the graph: ( -3, -3) and ( -2, 1)

Slope:

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

m=(1+3)/(-2+3)

m=4/1

m = 4

In degrees, what is the measure of

Answers

Answer:

m<PFR=62

m<RFT=28

m<MFE=28

m<EFT=152

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90=x+6+3x-4

90=4x+2

-2   -2

88=4x

/4    /4

x=22

3(22)-4=66-4=62

22+6=28

180-28=152

What is the slope of the line that passes through the points (8, 2) and (9, 3)? Write
your answer in simplest form.

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

What is the area of the rhombus below?


A
120 units2

B
65 units2

C
130 units2

D
240 units2

Answers

The only answer it can really be is C

What is the end behavior of the function f(x)=2/3x^3? As x→[infinity], f(x)→−[infinity] As x→−[infinity], f(x)→−[infinity] As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→[infinity] As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity] As x→[infinity], f(x)→−[infinity] As x→−[infinity], f(x)→[infinity]

Answers

Answer:

As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]

Step-by-step explanation:

Since f(x) =2x³/3,

Let x → + ∞

Substituting x = + ∞ into the equation, we have

f(+∞) = 2(+∞)³/3

= + 2∞³/3

= + ∞            (since + 2∞³/3 → +∞ (a larger number))

So as x → + ∞, f(x) → + ∞

Let x → - ∞

Substituting x = - ∞ into the equation, we have

f(-∞) = 2(-∞)³/3

= - 2∞³/3

= - ∞         (since - 2∞³/3 → -∞ (a larger number))

So as x → -∞, f(x) → -∞

So, the answer is As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]

If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?

A. Y= 144/x

B. Y= 16/x

C. Y= x/16

D. Y= x/144

Answers

Answer:

A. Y = 144/x

Step-by-step explanation:

Inversely means y = 1/x

If y = 48, when x = 3

so 144/3 = 48

Therefore the answer is A

If the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

What is a function?

A relation is a function if it has only One y-value for each x-value.

If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.

To find k, we can use the given values of y and x:

y = k/x

48 = k/3

k = 144

Now that we know k, we can write the function that represents the relationship between x and y:

y = 144/x

Therefore, if the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

To learn more on Functions click:

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Can someone seriously help me

Answers

Answer:

6 inches

Step-by-step explanation:

The mode is the most frequently occurring number.

The mode of Martha's Fish is 21.

The mode of Jamie's Fish is 15.

21 - 15 = 6

The mode of Martha's fish is 6 inches longer than the mode of Jamie's fish.

If 4/3 of water is enough to water 2/5 of plants , how much water is needed to water all plants ....Please add an explanation .

Answers

Answer:

10 by 3

Step-by-step explanation:

When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3

As here we multiply both the fractions by reciprocal the second fraction

So the water i.e. needed to water all plants is 10 by 3

Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?

Answers

he would have drove for 6 hours and 40 minutes.

Answer:

he is drive 6.4 hours ......

Please show work if you can so I can fully understand the problem thanks

Answers

Answer:

area = 1539√3 in²

Step-by-step explanation:

three hexagons and one triangle:

each of the three hexagons are composed of 6 equilateral triangles just like the center triangle.

So you have 19 equilateral triangles with each side being 18 inches long.

The height (h) of a triangle will be:

h² = 18² - 9² = 324 - 81 = 243

h = √243

h = 9√3

area of one triangle = 1/2bh = (1/2)(18)(9√3) = 81√3

81√3(19 triangles) = 1539√3 in²

If you did it what’s the answer,

please I need someone to help my assignment​

Answers

Answer:

All the measurements are correct

Step-by-step explanation:

What we have here are right triangles

For right triangles, the square of the hypotenuse (the side facing the right angle) equals the sum of the squares of the two other sides

Starting from the left;

a) 13^2 = 12^2 + 5^2

169 = 144 + 25

169 = 169

This triangle is valid

b) 25^2 = 24^2 + 7^2

625 = 576 + 49

625 = 625

This triangle is valid

c) 5^2 = 3^2 + 2^2

25 = 9 + 16

25 = 25

3x-5=4x+2can i get help anyone

Answers

Answer:

3(x+5) = 4x

Step-by-step explanation:

Construct a triangle PQR in which ∠Q = 75°, PQ = 7 cm and QR = 9 cm. Measure ∠R

Answers

Well I’m suck at studying n I would help u but uk

Kevin flips a coin and rolls a six-sided number cube. What is the probability of flipping heads OR rolling a 2?​

Answers

Step-by-step explanation:

probability of flipping head

1/2

probability of rolling 2

1/6

Deux pays​ , le Pays Chaud et le Pays​ Froid, mènent des​ enquêtes sur les​ dépenses de consommation. Au Pays Chaud​ , les consommateurs​ achètent 60 bouteilles​ d'eau, 16 kilos de pain et 8 litres​ d'huile d'olive par​ année. Au Pays​ Froid, les consommateurs​ n'achètent aucune bouteille​ d'eau (ils sucent des​ glaçons qui ne leur​ coûtent rien), mais ils​ achètent 84 litres​ d'huile d'olive et 29 kilos de pain par​ année. Les prix dans les deux pays sont les​ mêmes, et​ mesurés avec la​ même monnaie, le dollar. Dans​ l'année de​ base, l'eau​ embouteillée coûtait 0,95 ​$ la​ bouteille, le​ pain,4,80​$ le​ kilo, et​ l'huile d'olive,10,35 ​$ le litre. Dans​ l'année courante,​ l'eau embouteillée​ coûte 1,95 ​$ la​ bouteille, le​ pain,6,30 ​$ le​ kilo, et​ l'huile d'olive, 11,20 ​$ le litre. Quel est​ l'IPC au Pays Chaud dans​ l'année courante?

Answers

If you write in english language maybe i can help you

A line has a slope of 11 and passes through the point (2,4). PLSSSS HELPPP

​​Find the equation of the line.

Answers

Answer:

y=11x-18

Step-by-step explanation:

y=11x+b (b is the unknown y-int)

to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*

y=11x+b

4=11(2)+b

4=22+b

b=-18

the equation of the line:

y=11x-18

Please help me its very urgent!​

Answers

Answer:

there are no solutions

Step-by-step explanation:

Rewrite and simplify. 64-3/4

Answers

Answer:

64 - .75

64 - .75 = 63.25

have a good day/night

Answer: 63.25 (Decimal) or 63 1/4 (fraction)

Step-by-step explanation: 64 - 3/4. 3/4 is 0.75 in decimal form, so subtracting it would be 63.25 which would be 63 1/4 in fraction form. I don’t think you can simplify it since 1/4 is already at it’s smallest form.

7. A frying pan can hold 2 dozen wantons at a time.
It takes 5 minutes to fry 2 dozen wantons. How
long will it take to fry 40 dozens wantons​

Answers

Answer:

100 minutes

Step-by-step explanation:

This is because it takes 5 minutes to fry 24 wantons, so we can write 5/24. Now we need to find out how long it takes to fry 40 dozen wantons, or 480 wantons. We can rewrite this as x/480. Since the time should be proportional, we get the following:

5/24 = x/480

We can now cross multiply. 24x=5x480. Therefore, 24x = 2400. If we divided each side by 24, we would get 100. Therefore, it takes 100 minutes to fry 40 dozen wantons, or about 1  2/3 hours.

Answer:

100 minutes (1 hour & 40 minutes).

Step-by-step explanation:

5 minutes = 2 dozen, which means it takes 2.5 minutes to cook 1 dozen.

2.5 minutes x 40 dozen = 100 minutes...

5. Jovi solved the following system of equations by
substitution. His partner Giselle checked his work
and said she found an error. What step did Giselle
find the error?

Answers

Step three: it should be 12y=-12, because -4-8=-12

Step four should be y=1, because 12/12=1, not -1

Difference between Simple Intrest and Compound Intrest

Answers

Simple interests will only take into account the principle, but compound interest adds money to interest earned AND the principle.

Find the slope of the line that passes through the two points (7, -5) and (1, -13). (Don't forget to simplify!)

I don't want no links just the answer if u don't have the answer don't give me a link

Answers

Answer:

The slope would be 4/3 or 1 1/3.

Step-by-step explanation:

When you put the coordinates in the point-slope formula, you will get -5 - (-13) over 7 - 1. The answer becomes 8/6 but if simplified, it becomes 4/3 or 1 1/3 as a mixed fraction.

Corey scored 85, 89, 87, 92, and 98 on his math tests. What is the mean of Corey’s test scores

Answers

Answer:

85+89+87+92+98

451/5

90.2

The mean of Corey’s test scores is 90.2

What is Arithmetic Mean?

The simplest method to determine the average for the given collection of integers is to use the arithmetic mean or mean. It is divided into two categories: weighted arithmetic mean and plain arithmetic mean.

The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean.

We have,

Corey scored 85, 89, 87, 92, and 98 on his math tests.

So, arithmetic Mean

= (Sum of scores)/ Total number of score

= (85 + 89 + 87 + 92+ 98)/5

= 90.2

Thus, the Mean is 90.2

Learn more about Arithmetic Mean here:

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