The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.

Answers

Answer 1

Answer:

18 = 3 x 6

Step-by-step explanation:

If you don't know the difference of the square of a number you can already see that it's telling 18 = 3 times that number so identify the missing number by multiplying 3 times a number.

18 = 3 x ?

18 = 3 x 6

18 = 18

:D

Answer 2

Answer:

6

Step-by-step explanation:

Let us start by writing an equation using the variable x.

The square of a number x minus 18 equals 3 times x:

[tex]x^{2} -18=3x[/tex]

Great! Now let us solve for x by moving the 3x term to the left side of the equation and obtain a quadratic equation:

[tex]x^{2} -3x-18=0[/tex]

We can use the quadratic formula [tex]\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex] to solve for x. *Please ignore the A after b. I cannot remove it for some reason.*

From our equation, a represents the coefficient of the term with degree of 2. Therefore, our a variable is 1. b represents the coefficient of the term with degree 1. Out variable b is therefore -3. Lastly, c represents the term with degree 0. Our c variable is -18. Lets solve!

[tex]\frac{3 ±\sqrt{(-3)^{2}-4*1*(-18) } }{2*1} =\\\frac{3 ±\sqrt{9+72} }{2} =\\\frac{3 ±\sqrt{81} }{2} =\\\frac{3 ±9}{2} \\\\[/tex]

Now we have two possible solutions. Let us start with the addition version:

[tex]\frac{3+9}{2} =\\\frac{12}{2} =\\6[/tex]

Alternatively you could try the subtraction version:

[tex]\frac{3-9}{2} =\\\frac{-6}{2} =\\-12[/tex]

However, the question asks to find the positive solution. Therefore, out answer is 6.

I hope this helps! Please let me know if you have any questions :)


Related Questions

Solve the equation for l.

2l+2w+5=P

Answers

W=p-26/2 that’s your answer

What is 3,700,000 in scientific notation??

Answers

Answer:    Choice D)  3.7 * 10^6

=========================================================

Explanation:

Place a decimal point between the first two digits 3 and 7.

Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000

Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.

You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000

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

Side notes:

3,700,000 = 3 million, 7 hundred thousand

3,700,000 = 3.7 million

What is the value of y?
A.25 B.35 C.100 D.50

Answers

Answer:

B. 35

That is the answer

Hope it helps

Y is double 50. 100 degrees

can someone please help me with this? PLEASE I'm so confused.

Answers

Answer:   5005

==================================================

Explanation:

Let's say we had the slots A,B,C,D,E,F. Each slot represents where a flower would go.

For slot A, we have 15 different flowers to pick from.

Then slot B has 15-1 = 14 choices

C has 15-2 = 13 choices

and so on. We count our way down until we fill up slot F.

The count down looks like this: 15, 14, 13, 12, 11, 10

Multiply out those values: 15*14*13*12*11*10 = 3,603,600

If order mattered, then this represents the number of ways to select 6 flowers from a pool of 15 total.

However, order does not matter in this case. All that matters is the group overall.

For any group of 6 items, we have 6! = 6*5*4*3*2*1 = 720 different arrangements. That means the value 3,603,600 is too large exactly by a factor of 720.

We divide by 720 to get to (3,603,600)/720 = 5005 which is the final answer

It's the number of combinations where we select 6 from a pool of 15.

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

As you can guess, you could use the nCr combination formula as an alternative route. Plug in n = 15 and r = 6 like so

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{15} C _{6} = \frac{15!}{6!*(15-6)!}\\\\_{15} C _{6} = \frac{15!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10*9!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6*5*4*3*2*1}\\\\_{15} C _{6} = \frac{3,603,600}{720}\\\\_{15} C _{6} = 5005\\\\[/tex]

In the third to last step, notice how we have the 15*14*13*12*11*10 up top and 6*5*4*3*2*1 down below.

This value 5005 can be found in Pascal's Triangle. Look in the row that has 1, 15, ... and count out 7 spaces from the left. You should arrive at 5005. However, you'll need a fairly large Pascal's Triangle to use this method.

Given:

Total number of flower cuts = 15 different flowers

Number of flowers Jeanine Baker wants to use = 6 flowers

To find:

Total number of ways 6 flowers can be chosen

Steps:

In this question, we need to find the total number of outcomes of choosing 6 random flowers from a total of 15 flowers

Let's give each flowers a letter, so there will be A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.

Now let's find all the outcomes

Outcomes= ABCDEF, ABCDEG, ABCDEH, ABCDEI, ABCDEJ, ABCDEK, ABCDEL, ABCDEM, ABCDEN, ABCDEO.....

This method will take a lot of time so, i am going to use the formula

[tex]No.outcomes = \frac{n!}{r!(n-r)!}[/tex]

Here n = total number of items, and r = number of items chosen

Also the '!' means factorial, or the product of all positive numbers less then or equal to the number, so n! = n * (n-1) * (n-2) ..... * 1

So, now substituting the formula

[tex]No.outcomes = \frac{15!}{6! * (n-r)!}[/tex]

[tex]No.outcomes=\frac{15!}{6! * 9!}[/tex]

[tex]No.outcomes = \frac{15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1*9*8*7*6*5*4*3*2*1}[/tex]

[tex]No.outcomes=\frac{15*14*13*12*11*10}{6*5*4*3*2*1}[/tex]          (cutting same numbers)

[tex]No.outcomes = \frac{7*13*3*11*10}{6}[/tex]                 (simplifying)

[tex]No.outcomes = \frac{30030}{6}[/tex]

[tex]No.outcomes=5005[/tex]

Therefore, the total number of ways the 6 flowers can be chosen is 5005 ways

Happy to help :)

If u need help in this topic feel free to ask

Find BC
Round to the nearest tenth.
7
140°
B
13

Answers

Answer:

The answer is

Step-by-step explanation:

This is from khan academy. so You need to watch a video on khan academy to get help.

The cost of 12 shirts is 84 find the cost of 6 shirts

Answers

Answer:

ok so 6 is half of 12 so we have to find half or 84 which is

42

Hope This Helps!!!

Answer: The answer is 42.

84/2= 42. May I have the brainiest?

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 4 feet and a height of 13 feet. Container B has
a diameter of 6 feet and a height of 8 feet. Container A is full of water and the water is
pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of the empty portion of Container
B, to the nearest tenth of a cubic foot?

Answers

Answer:

hope you don't mind but im using this for points

You pick a card at random.

4
5
6


What is P(4)?

Write your answer as a fraction or whole number.

Answers

Answer:

It is 1/3

Step-by-step explanation:

can i have brainly?

The area of the triangle below is 4.5 square inches. What is the length of the base?

Answers

Answer:

Can you please send the length of the height if possible.

Step-by-step explanation:

Also the the formula to solve this is the exact opposite of Area= base times height divided by 2.

first step you need to do is multiply 4.5 by 2 to get 9. then you have to divide 9 by the height. Then you will get the value of the height. Hope you understood!

Answer: 3

Step-by-step explanation: 3

Bab needs help please!

Answers

hi im so sorry i can not help yo with this question hopefully someone else is smart enough to help u i wish u the best im so so so o so so so sorry sorry sorry sorry sorry sorry Step-by-step explanation:

SS below of my question

Answers

Answer:

its blurry

Step-by-step explanation:

Answer:

arccos(.34) = 70.12 ≈ 70

Step-by-step explanation:

Mind answering this? It's due in a few days and I'll give the correct answer Brainliest.

Match the values of a, b, and c given the equation in the standard form below:

h = -16t^2 + 8t + 24

Answers

Answer:

a = -16  b = 8 and c =24

Step-by-step explanation:

h = -16t^2 + 8t + 24

A quadratic function can be in the form

ax^2 + bx+c

Replace x with t

-16 is the coefficient of the squared term  8 is the coefficient of the linear term and 24 is the constant

a = -16  b = 8 and c =24

Finding simple interest without a calculator
Diane deposits $800 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 3 years

Answers

Answer: you answer is 120.

Step-by-step explanation: all you have to do is multyply 800*.15 because that is how much present it is.

please mark me brainiest

I = prt

I= 800×0.05×3= 120

Answer- 120 $

Help please will be marked as brainliest if correct

Answers

Answer:

12.95

Step-by-step explanation:

1. 173.43

2. 325.54

3. 0.6794

4. 76.45

Unlock number: 12.95

Answer:

173.43

325.54

.6794

76.45

Step-by-step explanation:

write an expression equivalent to h^6/h^3 in the form of h^m

Answers

Answer:

[tex]h^3 = h^m[/tex]

Step-by-step explanation:

[tex]\frac{h^6}{h^3} = h^m[/tex]

6 - 3 = 3

keep the base same, therefore

[tex]h^3 = h^m[/tex]

Hope this helps!

The equivalent expression for the given expression is h³.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is h⁶/h³.

h⁶ can be written as h³×h³

= h³×h³/h³

= h³

Therefore, the equivalent expression is h³.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

Which polynomial is factored completely?

Answers

Answer: fourth answer

Step-by-step explanation:

you cant factor it

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

77 boxes

Step-by-step explanation:

Step 1:

Lana's troop must sell 1000 boxes of cookies, but there are 13 girls in total. Supposing that each girl will sell an equal amount of boxes, we can simply divide:

[tex]1000[/tex]÷[tex]13\approx76.92[/tex] boxes.

Step 2:

However, it would seem unlikely that the girls would decide to sell fractions of a box of cookies. We should round...up or down?

If we round down, each girl will sell 76 boxes of cookies. Hmm... then they would'nt be able to sell a total of 1000 boxes of cookies! We need to round up.

Therefore, each girl should sell at least [tex]\fbox{77}[/tex] boxes.

I hope this helps! Let me know if you have any questions :)

PLSSS HELPPPPPPPP I NEEEED AN ANSWERRRRRR

Answers

Answer:

x=62

Step-by-step explanation:

The sum of x ,28, and 90 is 180 since it forms a straight line

x+28+90 = 180

Combine like terms

x+118 =180

Subtract 118 from each side

x+118-118 =180-118

x= 62

Answer:

Step-by-step explanation

x+28=90 degree(being perpendicular)

x=90-28

x=62

Juan has a box that is 3 feet long , 2 feet wide ,and 3 feet high . What is the volume of the box?

Answers

Answer:

18

Step-by-step explanation:

3*3*2

9*2

18

HELPP MEE PLEASE! I NEED HELPASAP PLEASE

Answers

Answer:

there is no image cannot help

Answer:

what do you need help with?

Are 6:5 And 17:5 equivalent

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more
daisies than roses.
How much did the roses cost?

Answers

the roses were 20 dollars :) have a good day.

A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?

Answers

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

4feet times 15inches

Answers

This what I use on my phone to get an answer

I NEED HELP ASAP!What is the area of the triangle shown below? 10 10 12​

Answers

Answer:

[tex]h^2+6^2=10^2[/tex]

[tex]h^2+36=100[/tex]

[tex]h^2=100-36[/tex]

[tex]h^2=64[/tex]

[tex]h=8[/tex]

[tex]A=1/2 ~BH[/tex]

[tex]A=1/2(12)(8)[/tex]

[tex]A=48 ~units^2[/tex]

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

hope it helps...

have a great day!!

Answer:  48 square units

=============================================================

Explanation:

Draw a vertical line to cut the triangle into two equal parts. You'll get two right triangles.

The horizontal leg of one of those smaller triangles is 12/2 = 6 units. The hypotenuse is 10 units. Through the pythagorean theorem, you should find the vertical leg is 8 units.

We have a 6-8-10 right triangle.

The area of this smaller triangle is base*height/2 = 6*8/2 = 48/2 = 24 square units.

So the area of the larger triangle is 2*24 = 48 square units.

Round to the nearest foot.

Answers

Answer:

11 or exact is 10.8 ft.

Step-by-step explanation:

we do 2.7*4 to find the length of the actual car

since 1 inch is 4 feet in real life.

2.7 would be 2.7*4 feet in real life

2.7*4 = 10.8 which is rounded to the nearest foot, 11.

Answer:

10.8

Step-by-step explanation:

model: real life

1 inch : 4 ft

The model is 2.7 inches

Multiply by 2.7 inches

model: real life

1 *2.7  : 4 *2.7

2.7 in : 10.8 ft

in a model of a ship the most in 9 cm high while the most of actual shift is 12 metre height if the length of the ship is 28 how long is model ship​

Answers

Answer:

21cm

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

12/9 = 1.333333

1 : 1.3333333

length  of model sheep = 28 / 1.333333 = 21cm

Someone help out with this

Answers

Answer:

k <= 11

Step-by-step explanation:

8+k <= -3

k <= -3 -8

k <= 11

Hi answeeeer and no links

Answers

Paper he needs = total surface area

So to break it down into 2D shapes, that prism has 2 2D triangles, and 3 2D rectangles of different sizes.

The triangles are the same size, since you have 2, just multiply 2 by the formula for the area of a triangle: 1/2(base)(height) which is 2x1/2(5)(12) = 60

Next you'll need the area of all the rectangles: length x width. which would be (5 x 5) + (13 x 5) + (12 x 5) = 150

So the total amount of wrapping paper he'd need is 150mi^2

Find the measure Of K

Answers

Answer:

K = 10

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin K = 11 / 61

Taking the inverse sin of each side

sin ^-1 ( sin K) = sin ^-1 (11/61)

K =10.38885782

K = 10

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