how do i simplify (x-5y)(x+3y)

Answers

Answer 1

Your answer will be [tex] x^{2} -2xy- 15y^{2} [/tex]

To get this you have to multiply individually across the parenthesis. Like so:

x(x+3y)
↓
[tex] x^{2} +3xy[/tex]

-5y(x+3y)
↓
[tex] -5xy-15y^{2} [/tex]

Now we add these two expressions together: [tex] x^{2} +3xy[/tex] + [tex] -5xy-15y^{2} [/tex]

Next, we combine like terms: [tex] x^{2} -2xy- 15y^{2} [/tex]

Since nothing else can be simplified, this is our answer. Hope this helped!!!

Related Questions

525.4 is 74% of what number

Answers

Let, that number = x
It would be: x * 0.74 = 525.4
x = 525.4 / 0.74
x = 710

So, the number would be 710

Hope this helps!

Translate this word phrase into an equation. one increased by two equals the quotient of nine and three

Answers

Here is the equation for this word phrase:
1 + 2 = 9 / 3
Quotient is the result of division.

Final answer:

The translation of the word phrase into an equation is 1 + 2 = 9 ÷ 3. Solving the equation by performing division before addition verifies its correctness, resulting in 3 = 3.

Explanation:

The word phrase "one increased by two equals the quotient of nine and three" can be translated into an algebraic equation as follows:

1 + 2 = 9 ÷ 3

To solve the equation, perform the division on the right side of the equals sign first, as per the order of operations (PEMDAS/BODMAS), which states that division should be completed before addition:

1 + 2 = 3

Then adding the numbers on the left side:

3 = 3

This confirms that the given translation of the word phrase into an equation is correct, as both sides of the equation are equal.

How many faces does a rectangle have?

Answers

4 because it has four sides

Would you many rectangular prism?
If so it would be 6 just like a cube

An angle measures 41 degrees. What is the measure of its complement?

Answers

This angle is called and acute angle.
Hope This Helps!!
:)

49 is the answerfawertgsdrgeatat4w3

during a special sale all video games cost $26 & all movied cost $14. Jack plans to spend some or all of his $220 in bday money on these movies & video games.
WRITE AN INEQUALITY

Answers

$26g + $14m ≤ $220

g represents the number of video games bought
m represents the number of movies bought

Final answer:

The inequality that represents Jack's budget constraints for purchasing video games and movies is 26x + 14y ≤ 220, where x is the number of video games and y is the number of movies.

Explanation:

To write an inequality representing Jack's spending on movies and video games with the given budget, we first assign a variable to the quantity of each item Jack could purchase. Let x represent the number of video games and y represent the number of movies. Since video games cost $26 each and movies cost $14 each, and Jack has $220 to spend, the inequality representing this scenario is:

26x + 14y ≤ 220

Here, x and y must be non-negative integers because you cannot purchase a negative amount or a fraction of a game or movie. This inequality ensures that the total amount spent on video games and movies does not exceed Jack's budget of $220.

23 + 45 - 48 + 34 * x = 292

What does x equal

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8

Simplifying
23 + 45 + -48 + 34x = 292

Combine like terms: 23 + 45 = 68
68 + -48 + 34x = 292

Combine like terms: 68 + -48 = 20
20 + 34x = 292

Solving
20 + 34x = 292

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right

Add '-20' to each side of the equation.
20 + -20 + 34x = 292 + -20

Combine like terms: 20 + -20 = 0
0 + 34x = 292 + -20
34x = 292 + -20

Combine like terms:
292 + -20 = 272 34x = 272

Divide each side by '34'.
x = 8

Simplifying x = 8

Hope it helped : )

The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution?
A.4-3i
B.3-4i
C.4+3i
D.-3+4i

Answers

I hope this helps you

3-4i

The way you stated the problem, there is an infinity of possibilities for the other solution.

► For instance, the quadratic equation:
   x² – (6 + 4i)x + (9 + 12i) = 0
has for discriminant:
   Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16
which is indeed negative.
Its solutions will then be:
   x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i
   x₂ = [(6 + 4i) – 4i]/2 = 3
And the other solution here is 3.

► If you are not convinced, the quadratic equation:
   x² – (6 + 5i)x + (5 + 15i) = 0
has for discriminant:
   Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9
which is indeed negative.
Its solutions will then be:
   x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i
   x₂ = [(6 + 5i) – 3i]/2 = 3 + i
And the other solution here is 3+i.

► In fact, every quadratic equation of the form:
   x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0
where α is any real, has for discriminant:
   Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi)
      = 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i
      = 16α – (4 + α)²
      = 16α – 16 – 8α – α²
      = -16 + 8α – α²
      = -(α – 4)²
WILL be negative.
Their solutions will then be:
   x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i
   x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi
And the other solution will then be is 3+αi.

Since α can take any real value, you'll obtain an infinity of solutions of the form 3+αi.

► So conclusively:
If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3.

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

Answers

To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)

=0.132

Final answer:

To find the probability that at least 8 of the words on a 10-word test are known by a student, calculate the probabilities for exactly 8, 9, and 10 known words and sum them. Use combinations to determine the probabilities and round the final answer to three decimal places.

Explanation:

The student knows 16 words out of 26, and the test contains 10 words. To find the probability that at least 8 out of 10 words on the test are known to the student, we need to calculate the probability for exactly 8, 9, and 10 known words, using combinations, and then sum these probabilities.

Let's denote K as knowing the word and N as not knowing the word. The total number of ways to choose 10 words out of 26 is given by 26 choose 10, denoted as C(26,10).

The probability of getting exactly 8 known words is given by (C(16,8) * C(10,2)) / C(26,10).

The probability of getting exactly 9 known words is (C(16,9) * C(10,1)) / C(26,10).

The probability of getting all 10 known words is (C(16,10) * C(10,0)) / C(26,10).

We add these probabilities together to get the total probability that the student knows at least 8 out of 10 words:

P(8 known words) = (C(16,8) * C(10,2)) / C(26,10)
P(9 known words) = (C(16,9) * C(10,1)) / C(26,10)
P(10 known words) = (C(16,10) * C(10,0)) / C(26,10)

We sum these individual probabilities to obtain the final answer. The result should be rounded to three decimal places as per the instructions given in the question.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ2

Tess has 2 1/2 cups of fruit. how many 3/4 cup servings can she make?

Answers

only 3 full servings.

Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How much will it cost if she used her cell phone for 480 minutes in one month? ...?

Answers

The answer is $84.29

Let the number of minutes be x.
$35.99 is fixed price and does not depend on the number of minutes x. Each minute costs $0.21 so it depends on x and we have 0.21x in the function. However, 250 minutes are already included and should not be included in x. Therefore, the function that represents the monthly cost looks like this:
f(x) = 35.99 + 0.21 * (x - 250)

Now, let's calculate for x = 480 minutes:
f(480) = 35.99 + 0.21 * (480 - 250)
f(480) = 35.99 + 0.21 * 230
f(480) = 35.99 + 48.30
f(480) = 84.29

Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The monthly payment is $2,962.40. For the first payment, find the interest to the nearest cent.

Answers

Have you considered calculating it directly? $2,962.40*(0.06/12)
If you do that then your answer would be 14.81...
Hope this helps... :)

An isosceles trapezoid has shorter base of measure a, longer base of measure c, and congruent legs of measure b. The perimeter of the trapezoid is 58 inches. The average of the bases is 19 inches and the longer base is twice the leg plus 7. Find the lengths of the sides.

Answers

Perimeter of the trapezoid = a + c + 2b
58 = a + c + 2b

Average of bases = (a + c)/2
19 = (a + c)/2
a + c = 38
Substituting (a + c) into the first equation:

58 = 38 + 2b
b = 10 in

We also know that:
c = 2b + 7
c = 2(10) + 7
c = 27 in

a + 27 = 38
a = 11 in

a = 11 in; b = 10 in; c = 27 in

What is 1 and 3\11 as an improper fraction?

Answers

14/11
11×1 +3 and you will get your answer

What you have to do to find the improper fraction is you ...

•multiply the denominator with the whole number

•add what you got to the numerator

•still use the same denominator

1•11=11
11+3=14

14/11
14/11=1.3/11

What are the coordinates of the focus of the conic section shown below?

y^2-4x+4y-4=0

...?

Answers

the answer is
y^2-4x+4y-4=y^2+4y-4x-4=(y+2)²-4x - 8= 0
it is the same of x + 2 = (1/4 ) (y+2)²

the main formula is x-h= a (y-k)² so h=-2, k= - 2 and a=1/4

Answer:

(-1,-2) is the correct answer

Step-by-step explanation:

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?

Answers

Answer:

15.5 NOT 17

Step-by-step explanation:

Find the slope the line that contains (2,4) and (4,4)

Answers

4+4/4+2 =4/3 ...The answer is this

Slope between points (x,y) and (a,b) is given by( b-y) over (a-x).. Thus4-4 over 4-2 equals 0 is your answer... The line joining these two above points is parallel to X axis or perpendicular to y axis .on y axis this line intersects at (0,4)...

A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?

Answers

He made [tex]\frac{165}{4125}[/tex] as a commission. To turn that into a percentage, you need to make the bottom become 100. Multiply the top and bottom by [tex]\frac{100}{4125}[/tex] to get the proper fraction. The fraction now is [tex]\frac{\frac{16500}{4125}}{100}[/tex] This simplifies to [tex]\frac{4}{100}[/tex]. Now all you need to do is take the top of that fraction to get the percentage, which is 4%.

4%

Which inequality models this problem?

The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?

A.

2w + 2 • (5w) ≤ 96

B.

2w + 2 • (5w) ≥ 96

C.

2w + 2 • (5w) < 96

D.

2w + 2 • (5w) > 96

Answers

the true answer is
A.

2w + 2 • (5w) ≤ 96
because
the value of 2w + 2L is
is at most 96 centimeters, it means 2w + 2L ≤ 96

Answer:the answer is A

Step-by-step explanation:took the test and got it right

What 3 times itself equals 1331?

Answers

So [tex] x^{3} =1331[/tex].
Then, [tex]x= \sqrt[3]{1331} [/tex].
[tex]x=11[/tex]

The answer's 11.

Answer:

Step-by-step explanation:

Simplify 7x 7 6x - 9.

Answers

7x + 7 + 6x - 9 =13x - 2

Answer:

[tex]13x -2[/tex]

Step-by-step explanation:

7x +7+6x - 9

simplify the given expression

To simplify the given expression we add like terms

the terms that as same variables with same exponent are like terms

7x and 6x are like terms

7x + 6x = 13x

+7 -9 = -2

So expression becomes [tex]13x -2[/tex]

What conditions give 2 roots, one root and no root?

Answers

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.

There are ten shirts in your closet, four blue, three green, and three red. You randomly select a different shirt each day. You wear a blue shirt Monday, Tuesday, and Wednesday.

Answers

It's a probability problem to find the odds of picking a green or red shirt out of the 10 shirts on Thursday, Friday and Saturday since you have randomly already know you have picked a blue shirt on the other days. Not sure if you have this as a multiple question problem as you didn't list any possible answers (A. 7/20, B. 5/47, C. 2/5, D. 4/125) to the question. A, B, C, D being like 7 chances out of 20, 5 chances out 47, 2 chances out of chances 5 or 4 chances out of 125 (example answers only).

Probability = Number favorable outcomes / total number of outcomes

If you're asking for the probability of drawing said shirt colors on said days:
Assuming there's no replacement (because clothes), the answer would be:
(2/5)•(1/3)•(1/4), which equals 2/60, or 1/30.
The reason:
On Monday, there are 10 shirts, 4 of them blue. So, your chances are 4 out of 10, or 4/10, which reduces to 2/5.
On Tuesday, there are 9 shirts left, 3 of them blue. So, 3/9, or 1/3.
On Wednesday, there are 8 shirts, 2 of them blue. So, 2/8, or 1/4.
You multiply all the fractions together (which is why simplifying helps A TON)
Hope this helps! And sorry about not answering sooner!

2x -3 =6

Value of x

Help_

Answers

2x - 3 = 6
2x = 6 + 3
2x = 9
x = 9/2
x = 4.5

The value of x is 4.5

Add 3 to both sides

[tex]2x=6+3 [/tex]

Simplify 6+3 to 9

[tex]2x=9[/tex]

Divide both sides by 2

[tex]x=9/2[/tex]

The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height. Solve the formula for b 2. Show your work.

Answers

The answer is b2 = 2A/h - b1

A = 1/2(b1 + b2)h

Multiply both sides by 2:
2 * A = 2 * 1/2(b1 + b2)h
2A = (b1 + b2)h

Divide both sides by h:
2A/h = (b1 + b2)h/h
2A/h = b1 + b2

Subtract b1 from both sides:
2A/h - b1 = b1 + b2 - b1
2A/h - b1 = b2

Mr. jones has agreed to borrow $3500 for one year st 10% interest. what is the total amount he will pay back to the bank?

Answers

$ 3500 × 10 /100 × 1 = $ 3850

The total amount Mr. Jones will pay back after borrowing $3500 for a year at 10% interest rate is $3850, simply add the interest to the principal amount borrowed.

Mr. Jones borrowed $3500 for one year at 10% interest rate. The total amount he will pay back to the bank can be calculated as follows:

Interest = Principal x Rate = $3500 x 0.10 = $350

Total amount to be paid back = Principal + Interest = $3500 + $350 = $3850

Solve -9-8(1+4h)=-17

Answers

-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)

Hi Jeannie

-9-8(1+4h) = -17
First, we need to distribute
-9 +(-8)(1) +(-8)(4h) = -17
-9 -8 - 32h = -17
-17 - 32h = -17
-32h = -17 + 17
-32h = 0
h = 0/-32
h = 0

I hope that's help !

If 4(x-2/3)=-18, what is the value of 2x?

Answers

4(x-2/3) = -18
4x - 8/3 = -18
4x = -54/3 + 8/3
4x = -46/3
x = -46/3 * 1/4
x = -46/12
x = -23/2

2x = -23/2 * 2
2x = -46/2
2x = -23

What does the line -5+8y=8 look like?

Answers

Answer:

Is a horizontal line

Step-by-step explanation:

we have

[tex]-5+8y=8[/tex]

Solve for y

Adds [tex]5[/tex] both sides

[tex]-5+8y+5=8+5[/tex]

[tex]8y=13[/tex]

Divide by [tex]8[/tex] both sides

[tex]y=13/8[/tex]

[tex]y=1.625[/tex]

This is a horizontal line parallel to the x-axis

The slope is equal to zero

see the attached figure to better understand the problem

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.

How many points was each multiple choice question worth?

Answers

Let the number of points of each multiple choice question be x, then
14x + 24 = 16x + 14
16x - 14x = 24 - 14
2x = 10
x = 10/2 = 5.

Therefore, each multiple choice question is 5 marks.

How many times does 6 go into 87?

Answers

87 ÷ 6
8 ÷ 6 = 1 (remainder 2)
27 ÷ 6 = 4 (remainder 3)
30 ÷ 6 = 5
So it goes in 14 times, but exactly 14.5 times if you want a decimal.

Other Questions

1. alicia and jamal completed the following "given : 3x+7=x-5 prove: x=-6 Alicia's workt.3x+7=x-5 : given 2x+7=-5: subtraction property of equality2x=-12: subtraction property of quality x=-6: division property of equality jamal's work3x+7=x-5 : given 7=-2x-5 : subtraction property of equality 12=-2x: addition property of equality -6=x : division property of equality who completed the proof correctly? a) alicia only b) jamal onlyc) both alicia and jamal d) neither alicia nor jamal the french club is sponsoring a bake sale. if their goal is to raise at least $135, how many pastries must they sell at $3.00 each in order to meet that goal? write and solve an inequality. Samuel adds a teaspoon of salt to a glass of water. He notices that the salt disappears. Samuel takes a sip to discover that the water tastes salty. What kind of change has occurred? a) Its a chemical reaction because a new substance has formed. b) Its a physical change because the water and the salt kept their original properties. c) Its an example of synthesis because two substances reacted to give one substance. d) Its a chemical reaction because the water now tastes salty but originally did not Imagine you are on a dinosaur fossil hunt with a famous paleontologist. Design a procedure for determining the relative and absolute ages of the fossils you find. When Odysseus gives Polyphemus his real name, why does this cause trouble?It allows the other Cyclopes to help track him down.He slows down to yell to Polyphemus and thus, his crewmen are killed.It allows Polyphemus to curse Odysseus.It doesn't cause trouble; it just illustrates how proud Odysseus is. 1- How are translations represented as a function?2- What is the relationship between a translation and a rigid motion? Which of the following groups oppossed washington's point of view address Which text is valuable for gaining context about a historical event but is unreliable as "evidence"?A. anthologyB. encyclopediaC. historical novelD, monographE. textbook Which of the following helped the middle colonies to thrive?1=their location2=their lack of diversity3=their relationship with American Indians4=their agricultural conditions y = (1/4)x^2 - (1/2)lnx..over the interval (1, 7e) ...what is the arc length ? "Buy our cell phone with built-in calendar and reminder features! This way you will never forget an appointment while on the go." This advertisement targets your fears rituals emotions social values A ball is thrown horizontally at a speed of 24 meters per second from the top of the building. If the ball hits the ground 4.0 seconds later approximately how high is the building? ...? Which of the following best describes the climate types of the Middle East?A. The entire region is arid desert. B. The majority of the region is semiarid; there are some areas of arid desert, but few Mediterranean climate zones. C. Most of the region is arid desert, but there are also semiarid, Mediterranean, and highland climate zones. D. Most of the region has a Mediterranean climate; however, there are arid deserts along the coasts The earth is spherical in shape.TrueorFalse Which part of speech is the underlined word? Sour milk often gets lumpy. A. preposition B. adverb C. verb D. adjective often is underlined How long will it take for an investment to triple, if interest is compounded continuously at 4%? Which type of nozzle is used with compressed air foam systems (CAFS)? who played an important role in writing and interpreting the history and traditions of the Ethiopian kingdom? A) artisansB) Mansa MusaC) monksD) merchants Which statement correctly explains scientific theories? Scientific theories attempt to explain why certain events occur in the natural world. Scientific theories are facts that describe natural events or phenomenon. Scientific theories are tested and proven over time; they are then considered scientific laws. Scientific theories are beliefs and opinions about natural events that are not testable or observable. A sociologist wants to know the opinions of students about online education. He obtains a list of 750 students who have completed an online course recently and mails a questionnaire to 100 of the students. The 100 recipients of the questionnaire were randomly selected. Only 41 of the questionnaire were returned. Clearly define the population and the sample in this study. Steam Workshop Downloader