Mathematics High School

Solve by completing the square.
X^2-2x-15=0 (help)

Answers

Answer 1

Step-by-step explanation:

x² - 2x - 15 = 0

x1 = 5

x2 = -3

Solve By Completing The Square.X^2-2x-15=0 (help)
Answer 2
the answer to this problem is (5,3)

Related Questions

The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?

Answers

Answer:

15 m

Step-by-step explanation:

The area of the circle is

A =pi r^2

A = pi 4^2 = 16 pi

The area of the sector is 30

The fraction is

30/16 pi  

Take this time 2pi which are the  radians of a circle

30 /16 pi * 2 pi = 15/4

This is the number of radians the angle is

The arc length is s = r * theta where theta is in radians

s = r  theta

  = 4 * 15/4

  = 15

A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.

Answers

Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C

I REALLY NEED HELP PLEASE HELP ME

Answers

Answer:

52^8

Step-by-step explanation:

26^8 = 208827064576 + 26

Ronald wants to paint his drawing room wall which measures 8 feet by 9 feet. The cost of the paint is $14 per square foot. How much will it cost Ronald to paint the wall

Answers

Answer:

$1036

Step-by-step explanation:

His room is 8 x 9 = 72 feet.  The cost of each square foot is $14.  

So 72ft x $14 = $1036.  So its going to cost him $1036.

i hope i helped :)

Answer: Answer is 1,008

Step-by-step explanation:

Because 9 x 8 is 72 ft

Take 72 + 14 is equal to 1,008.

Use the table to complete the work to find the missing value. Conversion Chart Pints Ounces 3 48 7 ? 30 480 3 pints 48 ounces 11 pints ? ounces How many ounces are in 11 pints? o 144 o160 o 176 o 192​

Answers

Answer:

176 ounces (C)

Step-by-step explanation:

if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..

also i got it right on edge :P

Answer: 176

Step-by-step explanation:

Is 225 a perfect square and a perfect cube?

Answers

Answer:

Yes, it is!

Step-by-step explanation:

yes that’s actually a really perfect square

What is the measurement of this angle

Answers

Answer:

Acute, 40 degree angle

Step-by-step explanation:

Take 90 - 50 and you get 40

I hope this helps you :)

-KeairaDickson

Answer:

40°

Step-by-step explanation:

Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...

This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?

Answers

Answer:

8

Step-by-step explanation:

how do i solve this? xw+vy-xy-vw​

Answers

Here you go hopes this helps

Give examples of two substances that look similar, but have different properties.

Answers

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

their smelltheir PHtheir density

A scientist has two kinds of solutions. The first solution is Solution A, which is an $80\%$ acid solution. The second solution is Solution B, which is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid?

Answers

Answer:

Step-by-step explanation:

a ) Let the volume required be v .

v x .8 + 500 x .3 / ( v + 500 ) = .7

.8 v + 150 = .7 v + 350

.1 v = 200

v = 2000 mL

b )

Let the volume of solution A  required be v . The volume of solution of B required will be 100 - v

v x .8 + ( 100 - v ) x .3 / 100 = .5

.8 v + 30 - .3 v = 50

.5 v = 20

v = 40 mL

volume of solution B = 60 mL .

c )

It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .

volume of solution B = 60 mL

Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?

Answers

Answer:

36km/h

hope this helps!

PLZ HELP ME ! Solve for k

Answers

Step-by-step explanation

plzzzz Help!!!!!!


A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55​

Answers

Answer:

The answer is 215=55x+40 or 215=40+55x

Step-by-step explanation:

The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.

Hope that helps

The next model of a sports car will cost 12.9% more than the current model. The current model costs $35,000. How much will the price increase in dollars

Answers

Answer:

The price increase in dollars= $4,515

Step-by-step explanation:

Cost of the next model = cost of the current model + 12.9% cost of the current model

Cost of the current model = $35,000

12.9% cost of the current model

= 12.9/100 × $35,000

= 0.129 × $35,000

= $4,515

Cost of the next model = cost of the current model + 12.9% cost of the current model

= $35,000 + $4,515

= $39,515

Cost of the next model = $39,515

The price increase in dollars= next model price - current model price

=$39,515 - $35,000

= $4,515

The price increase in dollars = $4,515

Can someone plss help mee ??

Answers

first - 8
second - 4
third - 12
fourth - 9

HELP I DONT KNOW WHICH CHOICE TO PICK

Answers

Answer:

second option

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle

Given

hypotenuse = x[tex]\sqrt{2}[/tex] and

the combined length of the legs = 2x , then

perimeter = x[tex]\sqrt{2}[/tex] + 2x

if f(x)=4-3x*2 then f(-2) is

Answers

Answer:

16

Step-by-step explanation:

f(-2)=4-3(-2)*2

f(-2)=4-3(-4)

f(-2)=4+12

f(-2)=16

meaning of cube root

Answers

Answer:

The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. See: Square Root. Cubes and Cube Roots.

Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)

Answers

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

Answers

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Solve
x/4 = 8

please help me find what x is ​

Answers

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Multiply by 4 on both sides to get x=32.


Need help on 3 thank you

Answers

Answer:

Cost: $10.00

Number of Tickets:26

Step-by-step explanation:

Each ticket is $0.50

20*$0.50=$10.00

For the tickets:

$13.00/$0.50=26 tickets

Consider the composite function g (f (x)) = x StartRoot 6 EndRoot. If f(x) = 3x2, what is g(x)?
g (x) = StartRoot 2 x EndRoot
g (x) = StartRoot x + 3 EndRoot
g (x) = StartRoot 6 x EndRoot
g (x) = StartRoot 9 minus x EndRoot

Answers

Answer:

The answer is A on edge

Step-by-step explanation:

The required function g(x) = √2x

Given that,
The composite function g (f (x))= x √6
f(x) = 3x²
g(x) = To be determine.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
g (f (x))= x √6
g (3x²)= x √6
g (3x²)= √6x²
g (3x²)= √2*3x²
Let
x ⇆ 3x²
g (x)= √2x

Thus, the required function g(x) = √2x.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Christine wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.65 per pound and raspberries cost $2.25 per pound. She only has $15 to spend on berries. Which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?

Answers

Answer:

1.65x + 2.25y ≤ 15

Step-by-step explanation:

Strawberries = $1.65 per pound Raspberries = $2.25 per pound

Amount with Christine = $15

Let

pounds of strawberries = x

pounds of raspberries = y

PxQx + PyQy ≤ 15

1.65x + 2.25y ≤ 15

The inequality which represent the situation where she buys x pounds of strawberries and y pounds of raspberries is 1.65x + 2.25y ≤ 15

1.65x + 2.25y less than or equal to 15

solve for x (2x+1) (x+29)​

Answers

The answer would be 2x^2+59x+29

Please solve for a ! 24+5a=-a+6(5a-4)

Answers

Answer:

a = 2

Step-by-step explanation:

First of all you should remove parentheses by using distribution

24 + 5a = - a + 30a - 24

Then you should collect all like terms

24 + 5a = 29a - 24

After you should move the terms so the variables are only on one side.

5a - 29a = -24 - 24

Collect like terms

-24a = -48

After dividing both sides you get

a = 2

Simplify the expression: z8 * z-3

Answers

Answer:

z^5

Step-by-step explanation:

z^8  * z^-3

Since we are multiplying exponents and the bases are the same, we can add the exponents

z^(8-3)

z^5

27x + 45y and 7(9x + 7y) are these equivalent?

Answers

Answer:

No

Step-by-step explanation:

If you want to know whether they are equivalent or no, we will first have to find the value of both.

[tex]27x+45y[/tex]

Since there aren't any like terms here, your answer would be

[tex]27x+45y[/tex]

Let's solve for next one.

[tex]7(9x+7y)[/tex]

Let's add in parenthesis to 7.

[tex](7)(9x+7y)[/tex]

Now we will separate everything. And also you will have to add.

[tex](7)(9x)+(7)(7y)[/tex]

Now that we added we got our answer.

[tex]63x+49y[/tex]

Both values were not the same, so therefore, your answer is no, they are not equivalent.

Hope this helps!

No

Step-by-step explanation:

If you want to know whether they are equivalent or no, we will first have to find the value of both.

Since there aren't any like terms here, your answer would be

Let's solve for next one.

Let's add in parenthesis to 7.

Now we will separate everything. And also you will have to add.

Now that we added we got our answer.

Both values were not the same, so therefore, your answer is no, they are not equivalent.

Hope this helps!

Read more on Brainly.com - https://brainly.com/question/17379473#readmore

What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2

Answers

Answer:

132°

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

Other Questions
How do you make grilled cheese?? I already know! Just want to know if you do!! [tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]solve step by step Which statement is always falls for athletes participating in team sports a sports push athletes to their physical and mental peaks be being an athlete requires discipline and persistent see conflict resolution is a sign of poor sportsmanship D a leader should push the team to perform two is full potential After the Civil War, what happened to the United Statess Gross National Product? Skkskskswks................ INSTRUCTIONS INCLUDED! Fill in the blanks with the correct words. Name the organelle and say how it is important for active transport. Give examples of cells where many of these organelles are found for active transport. 3. What is the inside of Earth like? where should the decimal point be placed in the example shown What happened to assets, earnings, dividends, and cash flows during the financial year? The Provincial and Teritorial Securities Commissions require all publidy traded companies to periodically report their financial corporation must publish an annual report that contains the balance sheet, income statement, statement of cash A publicly held flows, statement of retained earnings, and other financial information for analysls. The following table lists descriptions of the major financial statements and reports that a firm statement or report for each description. publishes. Identify the correct Statement or Report Is required by the Provincial and Territorial Securities Commissions and includes the audited document that shows the company's financial results for the past year and management's discussion about the future outlook and plans Details changes in the capital received from investors ir exchange for shares (paid-in capital), donated capital, and retained earnings Aggregates all cash inflows, which the company receives from its ongoing activities and investment sources, and all cash outflows Gives information about earnings before interest, taxes, depreciation, and amortization Provides a quantitative summary of a company's assets, liabilities, and net worth at a specific point in time Accountants focus on creating financial statements, whereas finance professionals use these statements to eva answer questions about its the following table. luate a firm and performance. Indicate which financial statement you would refer to when answering the questions in Balance Sheet Statement of Cash Flows Does the firm generate enough internal funds to support antidpated investment or does addtional outside capital need to be raised? Can the firm meet all its short-term obligations using its current assets? Look at this famous Winslow Homer painting,Cavalry Charge. Homer was an artist embedded with Union troops. Why is this painting an important primary source document? Determine the value of the variables a, b, and when simplifying and evaluating the expression. 3/^8 3/^4 =a^b= c a= b=c= You see a CD and a DVD that you like. However, you have only enough money to buy one. You decide to buy the CD. What is the opportunity cost of your choice? Classify each sample as random, systematic, stratified, or cluster 1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years. 2. Every seventh customer entering a shopping mall is asked to select his or her favorite store. 3. Nursing supervisors are selected using random numbers in order to determine annual salaries. 4. Every hundredth hamburger manufactured is checked to determine its fat content. 5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year. An object traveling at a constant 20m/sec in a circular path is changing its: why aren't two hydrogen atoms bonded together considered a compound explain. what is the pronoun in the sentence The loud music is coming from their house. Please answer this ASAP please!!!Amelia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 4? Just say a simple answer, please. find the exponential nation of 3125 The x-component is 8 m/s east; the y-component is 14.5 m/s North. (a) What is the value of the resultant vector? (b) What is the angle of the resultant vector?