If a+b=13, and ab-40, then find a3+b3​

Answers

Answer 1

Answer:

[tex]637[/tex]

Step-by-step explanation:

Step 1: Set Up System of Equations

[tex]a + b = 13[/tex]

[tex]ab = 40[/tex]

Solve for a in the first equation

[tex]a = 13 - b[/tex]

Subsitur that in for the 2nd equation

[tex](1 3 - b)(b) = 40[/tex]

[tex] - b {}^{2} + 13b = 40[/tex]

[tex] - {b}^{2} + 13b - 40[/tex]

[tex] - (b - 5)(b - 8)[/tex]

Set each monomial to zero

Think of a number that adds to 13 and multiply to 40.

Th

[tex]b = 5[/tex]

[tex]b = 8[/tex]

So the answer is 5 and 8. Remember factos are interchangeable so a and b can be either 8 or 5.

Cubed both 5 and 8.

[tex]5 {}^{3} + {8}^{3} [/tex]

[tex]125 + 512 = 637[/tex]


Related Questions

I Needham help without this one I will give you brainlist

Answers

Answer:

hi, it can be 0 or also 1

please mark as brainiest:)

Answer:

tricky

Step-by-step explanation:

need help ASAP due in a few min

Answers

Answer:

A

Step-by-step explanation:

T o show the inverse, the output becomes the input

The input is the output

The input is 2,4,6,8

The output is 1,3,5,7

They will also be in the same order so 1 went to 2 so 2 will go to 1

Can someone help me out these problems !!!

Answers

Answer:

Zoom in more and I can help

Step-by-step explanation:

Solve for x. Round to the nearest tenth of a degree, if necessary. Please help!!!!
45
W
V
92

Answers

Answer:

[tex]\displaystyle x^\circ \approx 29.3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 45

Hypotenuse = 92

Step 2: Solve for x

Substitute in variables [sine]:                                                                            [tex]\displaystyle sin(x^\circ) = \frac{45}{92}[/tex]Inverse Trig:                                                                                                       [tex]\displaystyle x^\circ = sin^{-1}(\frac{45}{92})[/tex]Evaluate:                                                                                                           [tex]\displaystyle x^\circ = 29.2834436[/tex]Round:                                                                                                               [tex]\displaystyle x^\circ \approx 29.3[/tex]

g(x) = 2x-5. Find g(3), g( 1/2), g(0), g(4), g(4). If g(a) - 99, find a.

f(x)= 3-4x. Find f(1), f(3), f(-2) ,f​​​​​​​​​​​​(1/2)

f(x)= x+3​​​​. find f(1), f(2), f(-3),f(​​​​​​​​​​​0),f(​​​1/2).
​​solve these please right now. no silly answer wolud not be allowed. ​​​​

Answers

g(3)
2(3)-5
6-5
1

g(1/2)
2(1/2)-5
1-5
-4


g(0)
2(0)-5
0-5
-5


g(4)
2(4)-5
8-5
3

whats the value of x? -5(x + 7) = -14 + 2x

Answers

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.


A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80

Answers

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.

To Find :-The percentage discount on the shoes

Solution. :-

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Question
Find the Surface Area of the Square Pyramid.
6 m
4 m

Answers

The surface area of a square pyramid is equal to: B. 64 m².

How to calculate the surface area of a square pyramid?

In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:

Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]

where:

a represents the base edge of a square pyramid.h represents the height of a square pyramid.

For the height, we have:

6² = h² + (4/2)²

36 = h² + 4

h² = 32

h = √32

Height, h = 5.7 m.

By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;

Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]

Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]

Surface area of square pyramid = 64.33 ≈ 64 m².

Read more on square pyramids here: brainly.com/question/30173394

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Explain what one it is and why pls and thank you

Answers

It would be 1/4 of the original volume
The first option is the correct answer.

The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing

Answers

Answer:

x≥10 or x∈[10, ∞)

Step-by-step explanation:

The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.

Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).

The answer is 10 because there is not negative number so the absolute value of a positive number is that number

Help question 7 pleaseeeee
Brainliest

Answers

The answer is 5% because:
The probability of a successful outcome is (number of ways of achieving a successful outcome)/(number of ways of achieving any outcome).
The probability of first drawing blue is 4/16 = 1/4
Once a blue marble has been drawn the number of yellow marbles is unchanged (3) but the total number of marbles is now only 15. So the probability of drawing yellow is 3/15 = 1/5
The probability of drawing first blue then yellow is the product of these two results = 1/4 * 1/5 = 1/20 = 5%

Answer:

[tex]\frac{1}{20}[/tex]

Step-by-step explanation:

To solve this problem, we can use the definition of probability: the amount of desirable outcomes divided by the total amount of outcomes. In order to find the probability of dependent events, events that depend on each other, we multiply the probability of the first event by the probability of the second event happening after the outcome of the first. Our two events are choosing a blue marble and then choosing a yellow.

There are a total of 16 marbles as given by the problem, this is our total number of outcomes. There are 4 outcomes where we can pick a blue marble, so the probability of choosing a blue marble is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex].

Now, we need to find the probability of choosing a yellow marble after the blue marble. If we already chose a blue marble, in total, there will only be 15 marbles instead of 16, because it is with out replacement. This gives us the total amount of outcomes. Next, we picked a blue already, so it does not affect the amount of yellow marbles left, which is 3 yellow marbles. From this, we can say the probability of picking a yellow marble given a blue marble was already picked is [tex]\frac{3}{15}[/tex] or [tex]\frac{1}{5}[/tex].

All we have to do now is multiply the two probabilities to find what we are looking for: [tex]\frac{1}{4} *\frac{1}{5} =\frac{1}{20}[/tex]. So, the probability of drawing a blue marble followed by a yellow marble is [tex]\frac{1}{20}[/tex]

A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.

Answers

Answer:

355

Step-by-step explanation:

185+140= 325

325+20= 355

Answer:

30/185×100=

Step-by-step explanation:

30/140×100=

The second statement is the
of the first.
X = у
y = x
A. contradiction
B. inverse contrapositive
C. inverse
D. converse
a
SUBMIT

HELP

Answers

Answer:

The second statement is the

of the first.

X = у

y = x

A. contradiction

B. inverse contrapositive

C. inverse

D. converse

Step-by-step explanation:

imverse

The second statement is the contrapositive of the first.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that x → y is a conditional statement read as 'if x then q'.

And, The converse EXCHANGES the hypothesis and conclusion such as:

⇒ y → x

And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:

⇒ ¬y → ¬x

Coming back towards the question,

Given that;

x ⇒ y

¬y ⇒ ¬x

Therefore, The second statement is the contrapositive of the first.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Which statement is true? asap thx reeeeeeeeeeeeeeeeeeeeee

A. 24 – 15 × 4 – 3 × 2 = 30

B. 24 – 15 × (4 – 3) × 2 = 30

C. (24 – 15) × 4 – 3 × 2 = 30

D. (24 – 15) × 4 – 3 × 2 = 66

Answers

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3

Answers

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Please Help Me To Solve For X

Answers

Answer:

u & v = 8

Step-by-step explanation:

This triangle is a special 45-45-90 triangle!

In a 45-45-90 triangle, to solve for the hypotenuse use the formula

[tex]h=(sidelength)*\sqrt{2}[/tex]

Here we see that 8 is being multiplied by radical 2!

We can prove that 8 is the side length by using the Pythagorean Theorem!

simplify this 2x - 1 = 8

Answers

Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

2x - 1 + 1 = 2x

8 + 1 = 9

2x = 9

Lastly, we'll divide both sides of the equation by the same term.

2x = 9[tex]\frac{2x}{2} =\frac{9}{2}[/tex]

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is [tex]x=\frac{9}{2}[/tex]

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp​

Answers

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

help help help with maths please

Answers

A. 72cm.
B. 9cm.
C.9cm.
D. I am not sure sorry

Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by . The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board

Answers

Answer:

6 times

Step-by-step explanation:

Given

[tex]Start=2[/tex]

[tex]Ivan=-2[/tex] ---- i.e. multiplies by -2

[tex]Adeline = 2[/tex] --- i.e. multiplies by 2

[tex]n=10[/tex] --- signals

Required

Number of times they have the same number

First, we list out all results of Ivan calculations.

To calculate Ivan's list, we simply multiply the current term by -2.

The 10 signals together with the first term, means there will be 11 terms in total

So, we have:

[tex]Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}[/tex]

Next, list Adeline's

[tex]Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}[/tex]

Compare the elements of the two lists, we have:

[tex]Common= \{2,8,32,128,512,2048\}[/tex]

Hence, they have the same number 6 times.

I have to use completing the square then put it in vertex form, and I have no clue how the hell do to that.

Answers

Answer:

y=8(x+1)²-2

Step-by-step explanation:

Completing the square is a method of factorising. x²+bx+c=0 becomes x²+bx+([tex]\frac{1}{2}[/tex]b)²-([tex]\frac{1}{2}[/tex]b)²+c=0. This then gets converted to make an equation of (x+[tex]\frac{1}{2}[/tex]b)²+(-([tex]\frac{1}{2}[/tex]b)²+c)=0.

Vertex form is y=a(x-h)²+k.

8x²+16x+6=0 must first be divided by 8 to 8(x²+2x+[tex]\frac{6}{8}[/tex])=0 (as there cannot be a coefficient for x²).

This will become 8(x²+2x+[tex]\frac{2}{2}[/tex]²-[tex]\frac{2}{2}[/tex]²+[tex]\frac{3}{4}[/tex])=0.

From there, using the method above, we can convert it to 8[(x+1)²-1+[tex]\frac{3}{4}[/tex]]=0.

Solving this gets 8[(x+1)²-[tex]\frac{1}{4}[/tex]]=0.

With 8 as a, 1 as -h, and 8×-[tex]\frac{1}{4}[/tex] (-2) as k, we can input this into vertex format to get the result of y=8(x+1)²-2.

**This equation involves completing the square and vertex form, which you may wish to revise. I'm always happy to help!

A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?

Answers

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

I NEED HELP PLEASE UHHH PLEASE I NEED HELP UUUUHHHHHHH
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.

Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.

Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.

Answers

Answer:

Sulio needs 28 feet of fencing

Step-by-step explanation:

P= 2l + 2w

Length- 8 ft

Width- 6 ft

Use formula with the given:

2(8) + 2(6)

= 16 + 12

= 28

Therefore, Sulio needs 28 feet of fencing

Hope this helps

Answer:

a, b, c, d

Step-by-step explanation:

Help please like please

Answers

Answer:

With What?

Step-by-step explanation:

Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

Answers

Answer:

(a) Set of rational numbers

(b) [tex]\pi + (-\pi) = 0[/tex]

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

[tex]1 - 2 = -1[/tex]

[tex]5 - 5 = 0[/tex]

[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]

[tex]4 - 2 = 2[/tex]

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

In the given options (a) to (d), only

[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:

[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational

In other words, they belong to different set

What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.

Answers

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?

Answers

Just plugin the numbers you have. For instance, r = radius. We know that the radius is 1/2 of the diameter. Our diameter is 12 so 12 / 2 = 6. With that said, add 6 to where the r is located in the formula and solve the formula.

Solve for V


To solve for V we have to do the following.



The formula above reads V(Volume of air) equals 4 divided by 3 times pi times 6 to the power of 3

Answer:

904.78

Step-by-step explanation:

The eighth term in the series 2, 6, 18, 54, ___ is
4122
4374
5643
7434

Answers

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

pls help me solve this question pls show how you got the answer

Answers

C
it appears that there are 7 cubes, so divide the overall volume by the seven cubes, making the volume of each one would 8. Volume is length times with times height so you would find the cube root of eight which is two. This means that each side length is 2 so you would find the area of each side and add them all together. This adds up to equal 120.
Hope this helped!!
the answer is C.
explanation:





Write the equation (y = mx+b) for the following scenario: A bulldozer can be rented at a fixed rate of $800 plus $120 for every hour that it is used.

Answers

y = total price
x = hours

y = (120)x + 800
Other Questions
HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of Davids data is shown.Music Club: This club has the same number of members older than 16 and younger than 16.Physics Club: This club has the greatest number of older members.Sports Club: This club has the greatest number of younger members.History Club: This club has the oldest member enrolled.David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles. A Type I subsequent event refers to _______. an event that occurred after the date of the financial statements an event that is typified by debit entries to contra-revenue accounts a contingent event, that may or may not occur an event that most likely occurred before the date of the financial statements What is the missing variable??? the 200 g baseball has a horizontal velocity of 30 m/s when it is struck by the bat, B, weighing 900 g, moving at 47 m/s. during the impact with the bat, how many impules of importance are used to find the final velocity of the bat An observer standing near a window 5 m high observe that an object falling downwards is passing across the window in 0.5 s. Find at what height above the window the object was dropped. (g = 10 m/s2). Write an equation in slope-intercept form for the line with slope -1/3 and y intercept 2 Among U.S. high school students, what is TRUE about intimate partner violence (IPV)?a.Teenage IPV looks very different from adult IPV.b.IPV affects about one tenth of the population.c.IPV occurs more in rural areas than in urban areas.d.IPV is not a significant problem. reverend parris did not want to expose the fact that the girls lied because___A.nobody would believe it and chaos or further mass hysteria would result B.he would be seen as a liar, tooC.it would make the church officials look like liarsD.his daughter would be seen as a liar, too, and his reputation be ruined Which characteristic distinguishes dwarf planets from planets?orbits the Sunis roundis not a moonhas not cleared its orbit of objects 1.Siguraduhing _______ang mga datos o impormasyong2.Isaalang- alang ang partikular na _______ o lokasyon ng pinagmulan ng impormasyon3.Upang matiyak na hindi ______ang mga impormasyon, maaaring magsaliksik at kilalaning mabuti ang awtor at ang kanyang mga artikulo A.Gold and silverB.guns and ammunitionC.chocolate and tobaccoD.copper and pearls Find the surface area of each solid figure security awareness training that should be encouraged Cary earned $56 for 7 hours of babysitting. How much would Cary earn for 55 hours of babysitting? Someone who is ________________ has a combination of what we think of as "male" and "female" reproductive systems or a combination of DNA other than XX or XY. Read the compound sentence.Which is the correct way to punctuate the sentence?Dr. Burke wanted to trust her assistant with the secretformula but she was afraid her assistant was a spy:Dr. Burke wanted to trust her assistant with the secretformula; but she was afraid her assistant was a spy. aDr. Burke wanted to trust her assistant, with thesecret formula: but she was afraid her assistant was aSpy.Dr. Burke wanted to trust her assistant with the secretformula but she was afraid her assistant was a spy. a1D Dr. Burke wanted to trust her assistant with the secretformula, but she was afraid hel assistant was a spy. What were some disadvantages of the Roman Paved roads ? What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)? Which of the following is a between the lines question?a.Who wrote this poem?c.Why write about a house?b.What is this poem about?d.When was this poem written?Please select the best answer from the choices providedABCD On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?