When the square of a number is increased by 24, the result is eleven times the original. Number find the number

Answers

Answer 1

Answer:

the number can be either 8 or 3.

Step-by-step explanation:

Let's define N as the "number"

We know that when the square of this number is increased by 24:

N^2 + 24

we got eleven times the original number, then:

N^2 + 24 = 11*N

We just need to solve this for N

To do it, we first move all the terms to one side of the equation:

N^2 - 11*N + 24 = 0

Now we can use the Bhaskara's formula for the zeros of a quadratic equation:

for a general quadratic equation:

a*x^2 + b*x + c = 0

the roots or zeros are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

We get then:

[tex]N = \frac{-(-11) \pm \sqrt{(-11)^2 - 4*1*24} }{2*1} = \frac{11 \pm 5}{2}[/tex]

So we have two solutions:

N = (11 + 5)/2 = 16/2 = 8

N = (11 - 5)/2 = 6/2 = 3

So the number can be either 8 or 3.


Related Questions

Pls help me with 5 I need a answer and a explanation

Answers

Answer:

72

Step-by-step explanation:

If x = 4 in 6(x+8) then the new expression is 6(4+8):

6*4&6*8

24+48

72

i got the answer d. 72

The vertices of a triangle are \large A\left(-4,-2\right), \large B\left(1,3\right) and \large C\left(4,-2\right).

Answers

Answer:

[tex]Area = 20[/tex]

Step-by-step explanation:

Given

[tex]\large A\left(-4,-2\right), \large B\left(1,3\right), \large C\left(4,-2\right).[/tex]

Required

The area

The area of a triangle is:

[tex]Area = \frac{1}{2}|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|[/tex]

So, we have:

[tex]Area = \frac{1}{2}|-4(3 - -2) + 1(-2 - -2) + 4(-2 - 3)|[/tex]

[tex]Area = \frac{1}{2}|-4*5 + 1*0 + 4*-5|[/tex]

[tex]Area = \frac{1}{2}|-40|[/tex]

[tex]Area = \frac{1}{2}*40[/tex]

[tex]Area = 20[/tex]

please help if i don’t pass this im screwed

Answers

Answer:

G, y = 2x+1 is correct

Answer:

G. y = 2x + 1.

Step-by-step explanation:

I did the math. Not sure about the B in y = mx + b though... Good luck.

I need help with this problem. please help.

Answers

Answer:

it's D

Step-by-step explanation:

A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by
the equation B = 250 x 4^t In this equation what does 4^t represent?
A The number of bacteria increases by t after 4 days
B. The number of bacteria increases by a factor of teach day for 5 days.
C. The number of bacteria increases by a factor of 4 each day
D. The number of bacteria increases by 4 each day

i need help please!!

Answers

This answer would be A

From the given equation, [tex]4^{t}[/tex] represent the number of bacteria increases by a factor of 4 each day.

What is an equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

A microbiologist during a study on a culture of 250 bacteria noticed that he can model the number of bacteria after t number of days by the equation

[tex]B = 250 \times[/tex] [tex]4^{t}[/tex]

t stands for training days(Add one to the power of 4 every day)

Every day is four time more than the day before.

So, the number of bacteria increases by a factor of 4 each day.

So, this answer is Option C.

Find out more information about equation here

https://brainly.com/question/2263981

#SPJ3

Two numbers that add to -4 and multiply to -45.

Answers

Answer:

-9 and 5 make -4 and -45

Step-by-step explanation:

-9 and 5 make -4 and -45

Please look at the image

Answers

Answer:

F=2E

ANGLE F+ANGLE E=120

2E. + E. =120

3E=120

E=40

A car travels 76 km in 49 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

76 km    *     60 min  = 4560/49 km/hr = 93.1

49 min            1 hour

Find the length of the third side. 20 24

Answers

Answer:

Hypotenuse (Third side) = 31.24

Step-by-step explanation:

20² + 24² = Hypotenuse²

400 + 576 = Hypotenuse²

976 = Hypotenuse²

[tex]\sqrt{976}[/tex] = Hypotenuse

31.24 = Hypotenuse

Therefore, the measure of the third side would be: 31.24

Hope this helps!

every parallelogram is a square?
every rectangle with four congruent sides is a square?
every rectangle is a quadrilateral?
every quadrilateral is a rectangle?​

Answers

Answer:

every parallelogram is a square? False

every rectangle with four congruent sides is a square? True

every rectangle is a quadrilateral? True

every quadrilateral is a rectangle?​ False

Step-by-step explanation:

every parallelogram is a square?

A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.

every rectangle with four congruent sides is a square?

Square require 4 congruent sides and 4 right angles. Rectangles already have  4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.

every rectangle is a quadrilateral?

A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.

every quadrilateral is a rectangle?​

A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.

help me please!!!!!!!!!!!!!!!!!!!

Answers

Answer:

49

Step-by-step explanation:

in decimal form it is 0.49

I'm doing my missing assignments, help me solve this please, and don't report me because it's not a test

Answers

Answer:

14.4 solved by doing 24(3/5)

Step-by-step explanation:

a ratio can be seen as division

3:5 = 3/5

Answer:

14.4

Step-by-step explanation:

As mentioned in the comments (24/5)*3 =

4.8 * 3 = 12 + 2.4 = 14.4

Another way:

24/5 = x/3

72 = 5x

x = 14 2/5 = 14.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4.
Before hibernation, a bear weighs 990 pounds. The bear loses 32% of his weight
How much does the bear weight after

Answers

Answer:

Jjjj

Step-by-step explanation:

Flight

After, the bear weighs 673.2 pounds.

Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the
following questions. How much will be in the account after 3 years​

Answers

Answer:

2300

Step-by-step explanation:

multiply 2,000 by 15% and add it to 2,000

What is the slope of the line with the equation y +2 = -3(x – 7)?
OA.m = -3
O B. m = 3
O C. m = 2
O D. m = -7

Answers

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

Write the equation of the parabola in vertex form.

Answers

Answer: Hi! The answer is, y=-(x-2)^2

Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!

What is the value of log Subscript 0.5 Baseline 16?

Answers

-4 I think is the answer

Answer:

its -4, guy above me is right!

Step-by-step explanation:

Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of the shop to be the expression of 3x + 23 and the width to be 2x + 17. Write a trinomial that would represent the area of the shop. Show your work

Answers

Answer:

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.

PLEASE HELP ME!! THANK YOU SO MUCH!!

EXPLANATION = BRAINLIEST

Answers

Answer:

Step-by-step explanation:

volume=πr^2h

461.58=3.14*r^2*12

461.58=37.68*r^2

461.58/37.68=r^2

12.25=r^2

[tex]\sqrt{12.25[/tex]=r

3.5=r

diameter=radius*2

=3.5*2

=7 in.

Answer:

Step-by-step explanation:

volume of a cylinder= base area times height or pie (r) squared * (h)

461.58=pie r squared h

461.58=3.14*r squared *12

461.58=37.68*r squared

please do the rest .

Solve for x. -9 = 2x + 3

Answers

x= -6

I hope this helps

Answer:

x=-6

Step-by-step explanation:

-9=2x+3

-9-2x=3

-2x=9+3

2x=-9-3

2x=-12

x=-6

What is the length of AC?

Geometry, see attachment.

Answers

Answer:

D.144

Step-by-step explanation:

[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]

⇔ 84x = -7x + 1092

⇔ 91x = 1092

⇔ x = 12

⇒ AC = 156 - x = 156 - 12 = 144


In general,
data
but do not measure.
A. numerical; classify
B. categorical; classify
C. categorical; value
D. none of the above

Answers

Answer:

D. None of the Above

Step-by-step explanation:

Because they are all kinds of statistical Data#hopeithelpsstay safe and keep wellMark me as brainliest pls

Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?

Answers

Answer:

3inches=2feet and

Xinches=6feet so Cross multiply

2X=18 divided both sides by 2

X=9inches therefore

the answer is 9inches

What is the quotient of Negative StartFraction 3 over 8 EndFraction and Negative one-third?

Answers

Answer:

6

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

I took the test :)

Which fraction is equal to 12%

Answers

Answer:

3/25

Step-by-step explanation:

Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.

Expand the expression 3.5(-3n + 4)

Answers

Answer:

Step-by-step explanation:

3.5(-3n+4)

=3.5*-3n+3.5*4

=-10.5n+14

Answer:

[tex]-10.5n+14.[/tex]

Step-by-step explanation:

DISTRIBUTIVE PROPERTY: WHEN YOU MULTIPLY A NUMBER OUTSIDE OF THE PARENTHESIS BY THE NUMBERS ON THE INSIDE.

This expression requires distributive property.

SOLVE:

[tex]3.5 (-3n + 4)[/tex]

[tex]3.5*-3n=-10.5n[/tex]

[tex]3.5*4=14.[/tex]

[tex]3.5(-3n + 4)=-10.5n+14.[/tex]

SOLVE ASAP ROCKY PLSSS IM TRYING TO PASS
what is the solution of the following system of equations.
2x + y = 18
3x - y = 17
x= y=

Answers

Here is the right answer

The area of a square piece of land in square units can be represented by the expression 9q^4r^8s^6What is the length
of one side of the piece of land?

Answers

Answer:

I'll setup the problem, you do the calculation

Step-by-step explanation:

given the area of a square, you take the square and that is the side of the square

[tex] \sqrt{9 {q}^{4} {r}^{8} {s}^{6} } [/tex]

the square root of a number that is raised to a power is found by dividing the power by 2

example

[tex] \sqrt{ {x}^{6} } = {x}^{3} [/tex]

do that for each term and you have you answer

comment if you have questions

CAN SOMEONE PLS HELP ME , ILL MARK BRAINLIEST

Answers

Answer:

Second option: 314.2 cubic feet

Step-by-step explanation:

Use this formula:

[tex]V =\pi r^2h[/tex]

---------------------------------------------------------------------------------------------------------------

So:

π × 25 × 4 = 314.2

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

V≈314.16

Step-by-step explanation:

i cant see the number optian clearly so youll have to round ut that the volume

Answers? Please Fast

Answers

:0..............................................:p......................................:).................................;(.................................:q

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