Solve the equation b(b+12) = 0. Check your solutions.

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:b(b + 12) = 0[/tex]

Here, we have two cases :

Case 1

[tex]\qquad \sf  \dashrightarrow \:b = 0[/tex]

Case 2

[tex]\qquad \sf  \dashrightarrow \:b + 12 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b = - 12[/tex]

Hence, 0 and -12 are the only possible solutions for given equation.


Related Questions

Please help me find x

|x+8|=x+8

Answers

square two sides

x+8=(x+8)2

x+8=x2+16x+64

x2+16x+64-x-8=0

x2+15x+56

then rule a2+-l

What is the mean for this list of numbers? 4, 12, 13, 7​

Answers

Answer:

9

Step-by-step explanation:

Add all numbers together: 36

divide by the amount of numbers in the list: 9

                                      :)

For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?

Answers

Answer:

Step-by-step explanation:

he paid a 3 dollar fee so we can remove that 23.79-3 = 20,79

now we devide 20,79 by 11 or 189 minutes.

If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?

Answers

Answer:

54 kg

Step-by-step explanation:

We need to multiply!!

6 x 9 = 54

Have an amazing day!!

Please rate and mark brainliest!!

How many subsets does the following set (4,5,6,7,8) have?​

Answers

Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.

Step-by-step explanation:

Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.

416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху

Answers

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

Find the mean of the data.


8,14,22,7,2,11,25,7,5,9 PLEASE!!!!!!!!

Answers

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

Is the table a linear or exponential function?

Answers

The table represents linear because the x represent the exponential functions

R\ {0}→→ Ris defined by Jff: 1 f(x)=x³-1/x³-1then show that 2 f(x) + f(1/x)=0.

Answers

[tex]\orange\bigstar \bold{ solution}[/tex]

[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]

[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]

[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]

[tex]\bold{ = 0 }[/tex]

A Cyclist rides her bike of a rate of 18 Kilometers per hour. What is this rate in Kilometers per minute? How many Kilometers will the cyclist travel in 20 minutes? Do not Round your answers.

Answers

Step-by-step explanation:

18 ÷ 60 = 0.3

so 0.3 km per min.

0.3 × 20 = 6

so 6 km per hour

find the average of the following numbers -34 and -37

Answers

Answer:

35.5 is the average of 34 and 37

Step-by-step explanation:

Answer:

-35.5

Step-by-step explanation:

-34 + -37 = -71

-71/2 = -35.5

I hope this helps!

PLEASE HELP!!! TOTAL 50 POINTS IF GIVEN BRAINLIEST ANSWER!!!

Find the average value of the function f over the given region.
f(x, y) =10x +3y over the triangle with vertices (0, 0), (9, 0), and (0, 2).

Answers

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

A movie theater charges 9.00 for adults and $3.00 for senior citizens. On a day when 306 people paid for admission, the total receipts were $1554. How many who
paid were adults? How many were Seniors?

Answers

Answer: 2495

Step-by-step explanation:

9x + 7(325)-7x = 2495

    2x = 220

     x = 110 adults  and 215  senior citizens

CHECKING our answer***

$990 + $1505 = $2495

Wish You the Best in your Studies.

Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?

Answers

Answer:   i think it will take 48 hours

Step-by-step explanation:

here's how to get 48 so basically 450-400-2= 48

now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48

i hope this helps!

-5 x + 10 -20 need help with this

Answers

Answer:

-5(x+2)

Step-by-step explanation:

There is exactly 1 pair of parallel sides in the following shape.

Answers

The 7 unit side and the unit 10

since they are both perpendicular to the same 8 unit side

:)

a retail owner can but a certain clock at an average price of $53 per clock and sell them for an average price of $84 per clock. his fixed costs are $8000 per month and his variable cost is $5 per clock. (A) how many clocks must he sell each month to break even? (B) how many clocks must he sell to have a profit of $3000?

Answers

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

(A)

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

(B)

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams

Answers

Answer:

9000 grams

Step-by-step explanation:

multiply the mass value by 1000


Consider the function f(x) = - 3x² + 30% - 3.
Determine, without graphing, whether the function has a minimum value or a maximum value.
Find the minimum or maximum value and determine where it occurs.
Identify the function's domain and its range.
O
..
a. The function has a
value.
b. The minimum/maximum value is
It occurs at x =
c. The domain offis
(Type your answer in interval notation.)
The range of fis 1 (Type your answer in interval notation.)
Copyright

Answers

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point

what is 5b^-2/b^-3? I need to know

Answers

Answer:

5b

Step-by-step explanation:

Hope this helps <3

simplify and tell the function

Answers

Answer:

2x - 5

Step-by-step explanation:

I just know and am positive with my answer. Hope this helped and have a good one!

A company wants to decrease their
energy use by 15%. If their electric
bill is currently $2,100 a month,
what will their bill be if they are
successful? Give your answer
accurate to at least the nearest
dollar.

Answers

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)


multiply the current bill by 85%

2100 x 0.85 = 1.785


the bill would be $1,785

Factor each completely.one zero has been given

f(x)=x^3-4x+16;-2

F(x) = X^4+ 2x^-13x^2 -10x + 40;2

F(x)=x^3-3x^2-13x+15;-3

F(x)=x^4-8x^3+19x^2-12x;3




Answers

The polynomials in factored form are listed below:

f(x) = (x - 3.043) · (x - 1.521 - i 1.716) · (x - 1.521 + i 1.716) f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)f(x) = (x + 3) · (x - 5) · (x - 1)f(x) = (x - 4) · (x - 3) · (x - 1) · xHow to factor polynomials

In this question we must factor polynomials as there are both numerical and analytical methods. Mathematically speaking, factoring polynomials is represented by the following formula:

[tex]\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i})[/tex], [tex]\forall\,x, r_{i}\in \mathbb{C}[/tex]   (1)

Where:

[tex]c_{i}[/tex] - [tex]i[/tex]-th Coefficient[tex]r_{i}[/tex] - [tex]i[/tex]-th Root

Regarding fourth order polynomials we can solve them by Ferrari's method and third order polynomials by Descartes' method. Then, the solutions of each polynomials are given below:

Polynomial 1 ([tex]f(x) = x^{3}-4\cdot x +16[/tex])

f(x) = (x - 4) · (x - 3) · (x - 1) · x

Polynomial 2 ([tex]f(x) = x^{4}+2\cdot x^{3}-13\cdot x^{2}-10\cdot x + 40[/tex])

f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)

Polynomial 3 ([tex]f(x) = x^{3}-3\cdot x^{2}-13\cdot x +15[/tex])

f(x) = (x + 3) · (x - 5) · (x - 1)

Polynomial 4 ([tex]f(x) = x^{4}-8\cdot x^{3}+19\cdot x^{2}-12\cdot x[/tex])

f(x) = (x - 4) · (x - 3) · (x - 1) · x

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

I will give the brainiest if you get it right.

Answers

Answer:

  1 ≤ x < 7/4

Step-by-step explanation:

The function f(x) is defined as increasing on the domain (-8, 4), so the ordering of the arguments is not changed by the function. We can solve the inequality as though f(x) = x, which is increasing everywhere.

Inequality solutions

  f(4x -3) ≥ f(2 -x²)

  4x -3 ≥ 2 -x² . . . . . . using our assumed definition of f(x)

  x² +4x -5 ≥ 0 . . . . . subtract 2-x²

  (x -1)(x +4) ≥ 0 . . . . factored form; zeros at -4, +1

The values of x that make this true are ones that make the factors have the same signs: x ≤ -4 or x ≥ 1.

Domain restrictions

The domain of f(x) is -8 < x < 4, so we require the arguments of f be restricted to those values

Left side

  -8 < 4x -3 < 4

  -5 < 4x < 7

  -5/4 < x < 7/4

Right side

  -8 < 2 -x² < 4 . . . . . right side is always true

  x² < 10 . . . . . . . . . . . add x² +8

  |x| < √10 . . . . . . . . . . less restrictive than the the left-side restriction

Solution

With the given domain restrictions on f(x), the inequality will be true on the interval ...

  1 ≤ x < 7/4

__

Additional comment

The attached graph shows the left-side function argument (dashed blue) and the right-side function argument (dashed green) with the given domain restrictions. The red curve is the difference in function values for the function defined as above. It is only non-negative between 1 and 1.75 as we found above.

This general behavior is applicable for any f(x) that can be described as in the problem statement. For example, f(x) = √(x+8) also gives an increasing curve for the difference f(4x-3)-f(2-x²) on the interval (-5/4, 7/4) with an x-intercept of +1.

<95141404393>

Khairi has only 20¢ and 50¢ coins in his coin bank. There are twice as
many 20¢ coins as 50¢ coins. How many 20¢ coins are there in the coin
bank if all the coins add up to $17.10?

Answers

Answer:

There is 43 20¢ in the coin bank.

What is the value of [5] – 1 – 5] - ( – 5)?

Answers

Value is -1 , Hope this helps.

solve please. find volume

Answers

The figure given in the image is a cuboid which have 3 sides, with Length, breadth and height, it's basically a 3-D shape, so here for volume of the cuboid, we can just multiply all the sides and we will be just done then after writing the SI unit of volume against it

[tex]{:\implies \quad \sf So,\:\: Volume=4\dfrac{2}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\bigg(\dfrac{20+2}{5}\bigg)\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=\dfrac{22}{5}\times 10\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=22\times 2\times 3}[/tex]

[tex]{:\implies \quad \sf Volume=44\times 3=\boxed{\bf{132\:\: m^{3}}}}[/tex]

help please
1.) Write in words the decimal 123.0047.



Write in fractional notation and simplify.

2.) 0.91 3.) 2.769



Write in decimal notation.

4.) 74 over 1000 5.) 37047 over 10000 6.) 756 9 over 100



Which decimal number is greater?

7.) 0.07 or 0.162 8.) 8.049 or 8.0094


Round the next decimal number, 5.6783, to the indicated decimal place.

9.) To the Unit 10.) To the Thousandth 11.) To the Tenth

Answers

1.) One hundred twenty-five and forty-seven thousandths

2.) 91/100.

3.) 2769/1000

4.) 0.074

5.) 3.705

6.) 75.69

7.) 0.162 is greater than 0.07

8.) 8.049 is greater than 8.0094

9.) 6

10.) 5.678

11.) 5.7



6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)

Answers

Answer:

79.45401²

Step-by-step explanation:

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

To know more about volume:

https://brainly.com/question/32006008

#SPJ2

A birthday cake weighs 7/8 pounds. If 2/3 of the cake is flour, how much is flour

Answers

Don’t know but you do have to subtract
5/24 is the amount for flour
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