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

*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form

Answers

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.

Which expression shows the total area of 5 rooms, if the
sides of 3 rooms measure 17 feet each, and the sides of
2 rooms measure 15 feet each?

Answers

Answer:

3084 sq. ft

Step-by-step explanation:

for the first three rooms,

area= 6l² = 6× 17² = 1734

for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

Which expression is equivalent to 5(n + 7)?

Answers

5n + 35!!

All you can do is simplify by removing the brackets through the distributive property. This gives you another equivalent equation.

2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.​

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi

In the diagram below DE is the midsegment of AABC.
Find the length of DE and BC.

Answers

Answer:

DE = 5

BC = 10

Step-by-step explanation:

ΔAED is a right triangle with legs of 4 and 6/2 = 3

Use the Pythagorean theorem to find DE

[tex]4^{2} + 3^{2} = DE^{2}[/tex]

16 + 6 = 25 = [tex]DE^{2}[/tex]

DE = 5

The midsegment of a triangle is 1/2 the length of the corresponding side.

Therefore, BC = 2 DE = 2(5) = 10 = BC

Is 1/4, 1/5, 1/6, or 1/8 closer to 1

Answers

Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation

Answers

Answer:

Step-by-step explanation:

Solve for x. 5:1::6:x

Answers

Answer:

Step-by-step explanation:

5/1 = 6/x

5x = 6

x= 6/5

Answer:

x

=

15

Step-by-step explanation:

Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!

Answers

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...

  A = i + b/2 - 1

where i is the number of interior points (8), and b is the number of points on the border (4).

The area of this figure is ...

  A = 8 + 4/2 -1 = 9

The area of the polygon is 9 square units.

_____

You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.

Answer this question to get marked as brainliest!!!

Answers

It would be b, c, d, e, and h

La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.

Answers

Can u put that in English please?

State if the triangle is acute, obtuse, or right ​

Answers

Answer:

right angle triangle

obtuse, using the Pithagorean Theorem we can deduce it is not a right triangle and since the result is bigger than that of a right triangle it is not acute

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

Am I correct?? If not please correct me

Answers

The answer would actually be A
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!

Answer: 5x^2+3x+1

Step-by-step explanation:

Solving for (f+g)(x) add both functions so

(3x^2+4x)+(2x^2-x+1)

Add like terms

3x^2+2x^2=5x^2

4x+-x=3x

+1

Add terms

5x^2+3x+1

1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y

Answers

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

Which characteristics best describe an acute isosceles triangle

Answers

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.

Answers

Answer:

i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14

When written in factored form, 6w^2-11w−2 is equivalent to

Answers

Answer:

(6w+1)(w-2)

Step-by-step explanation:

Answer:

13w - 2

Step-by-step explanation:

6w² - 11w - 2

24w - 11w - 2

13w - 2

Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)

Answers

Answer:

B

Step-by-step explanation:

They both equal 121

What's the answer to this? ​

Answers

51/16 ................

Answer:

The answer to this equation is 3 3/16

Step-by-step explanation:

I -9I = ____
HELP HELP ME ME ASAP PLEASE

Answers

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

3.
Write the slope-intercept form of the equation for the line.


A. y = 2x – 1

B. y = [tex]\frac{1}{2}[/tex]x – 1

C. y = [tex]\frac{1}{2}[/tex]x + 1

D. y = –2x – 1

Answers

Answer:

I'm gonna go with letter A. y= 2x - 1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

the line passes through -1 on the graph

it rises 2

and moves right once

Hope this helps ! (:


Please help! I need this as soon as possible!

Answers

Answer:

1. 136°

2. 36°

3. 136°

4. 36°

5. 136°

6. 36°

7. 136°

8. 44°

Step-by-step explanation:

i don't know english very well so i don't knoe what transplant is but i think i got it right with my logic

Answer:

m∠1 = 136°

m∠2 = 44°

m∠3 = 136°

m∠4 = 44°

m∠5 = 136°

m∠6 = 44°

m∠7 = 136°

Step-by-step explanation:

Corresponding angles, like m∠1 and m∠5, need to equal each other.

m∠1 and m∠3 are the same

m∠3 and m∠2 need to be added together to equal 180

if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?​

Answers

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?

(round to the nearest hundredth)

Answers

Answer:

0.16

Step-by-step explanation:

Speed= 9 miles/57 minuets=(9/57)

Now we want to figure out how many miles Boris runs per minuet

9/57= 0.15

Round to the nearest hundredth and it's 0.16.

Hope this helps!

the answer is 0.16...

Help me with this!!!

Answers

Answer:

Yes

Step-by-step explanation:

You can use the perpendicular bisector theorem, because the bisecting line is intersecting at a right angle, which means it is actually perpendicular. Along with IJ and IH being congruent (equal)

What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100

Answers

Weißt du Deutsch, ich kann vielleicht helfen

What is the total surface area?? PLEASE HELP THIS IS A QUIZ IM SO CONFUSED

Answers

Answer:

246 cm

Step-by-step explanation:

So I solved for the two triangles, 6x8=48/2=24, since there are 2, I multiplied by 2 to get 48 (Could've kept it just as 48 but it's good to keep the habit of dividing by 2 to get area of a triangle).  Then I did 6x9 for the front rectangle to get 54, and then solved for the right and back rectangle by doing 9x8 to get 72, 72x2=144

144+48+54= 246

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

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