Si a2 - b2 = 7 (a + b), entonces a - b =

Answers

Answer 1

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[tex](a + b)(a - b) = 7(a + b)[/tex]

Divide sides by ( a + b )

[tex] \frac{(a + b)(a - b)}{(a + b)} = \frac{7(a + b)}{(a + b)} \\ [/tex]

[tex](a - b) = 7[/tex]

[tex]a - b = 7[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer 2
I’m very confused I tried

Related Questions

y=7x-4
- 14x+2y=-8
Is it a solution?

Answers

Answer: No it is not a solution

Step-by-step explanation:

-14x-2=28

2x5=10

28+10=38

Tavon has a gift card for $95 that loses $2 for each​ 30-day period it is not used. He has another gift card for $75 that loses $1.50 for each​ 30-day period it is not used. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal.

Answers

Answer:

the number of​ 30-day periods until the value of the gift cards will be equal is 40

Step-by-step explanation:

Let

x = each 30-day period

Tavon has a gift card for $95 that loses $2 for each​ 30-day period it is not used.

95 - 2x

He has another gift card for $75 that loses $1.50 for each​ 30-day period it is not used

75 - 1.50x

Equate both expression for the number of​ 30-day periods until the value of the gift cards will be equal.

95 - 2x = 75 - 1.50x

95 - 75 = -1.50x + 2x

20 = 0.50x

x = 20/0.50

= 40

x = 40

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!

Answers

Answer:

D.

Step-by-step explanation:

The correct answer is D because it is equivalent to the original expression. Instead of distributing the 6 twice, it is placed in parenthesis. The other choices are wrong, I tried them, did not yield the same answer.

Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:is there any choices?

Step-by-step explanation:

Are there any pictures are answered choices??

Uh can anybody help with thi

Answers

Answer: She can buy 35 apples, if she only buys apples

Step-by-step explanation: Divide $10 by $0.28 and you get 35.7, don’t round up because she won’t have enough money to pay for the last apple

hope this helps :)

Answer:

$9.8 for 35 apples.

Step-by-step explanation:

I know this because she is spending $9.86 on oranges on apples she would spend $9.8 on apples therefor she bought 35 apples.

7. The mean width of 12 iPads is 5.1 inches. The mean width of 8 Kindles is 4.8 inches.
a. What is the total width of the iPads?
b. What is the total width of the Kindles?
c. What is the mean width of the 12 iPads and 8 Kindles

Answers

Answer:

Width of the 12 ipads and 8 kindles is 4.98 inches

so I think it C

Step-by-step explanation:

IT C  i hink but I'm not fully sure but i did the math and that what i got

i think its c if its wrong im soooo srry

Find the slope and y-intercept of y=1/5x+4 o

Answers

Answer:

The Y-intercept of y=1/5x+4 would be y=4. And the X-intercept would be x=-20

Step-by-step explanation:

the slope (m) of the line y = (1/5)x + 4 is 1/5, indicating an upward slope, and the y-intercept (b) is 4,

In the equation y = (1/5)x + 4, the coefficient of x, 1/5, represents the slope of the line. The slope (m) is the ratio of the vertical change to the horizontal change between any two points on the line. In this case, the slope is 1/5, which means that for every unit increase in x, the y-value increases by 1/5.

The constant term, 4, represents the y-intercept (b). The y-intercept is the point where the line intersects the y-axis. In this equation, the y-intercept is 4, which means that the line crosses the y-axis at the point (0, 4).

To summarize, the slope (m) of the line y = (1/5)x + 4 is 1/5, indicating an upward slope, and the y-intercept (b) is 4, representing the point where the line crosses the y-axis.

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En un elevador de estación de servicio en el embola grande mide 30cm de diámetro y el pequeño 2 cm de diámetro ¿ que fuerza se necesitará ejercer en el embola pequeño para levantar un automóvil que justo con el embola grande y las vigas de soporte pesa 35,000N?

Answers

Answer:

Necesitamos una fuerza de 155.556 newtons para el émbolo pequeño.

Step-by-step explanation:

Podemos resolver este problema a través del Principio de Pascal, el cual establece que la presión se transmite por igual a través de un sistema cerrado, el cual está representado por el fluido hidráulico del elevador. Asimismo, quiere decir que la presión hidrostática sobre el émbolo pequeño y la presión sobre el émbolo grande son iguales. Entonces:

[tex]p_{1} = p_{2}[/tex] (Eq. 1)

Donde:

[tex]p_{1}[/tex] - Presión sobre el émbolo grande, medido en pascales.

[tex]p_{2}[/tex] - Presión sobre el émbolo pequeño, medido en pascales.

Por la definición de presión tenemos que la fuerza aplicada sobre el émbolo pequeño ([tex]F_{2}[/tex]), medida en newtons:

[tex]\frac{F_{1}}{\frac{\pi}{4}\cdot D_{1}^{2}} = \frac{F_{2}}{\frac{\pi}{4}\cdot D_{2}^{2}}[/tex]

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot F_{1}[/tex] (Eq. 2)

Donde:

[tex]F_{1}[/tex] - Fuerza aplicada sobre el émbolo grande, medida en newtons.

[tex]D_{1}[/tex], [tex]D_{2}[/tex] - Diámetros de los émbolos grande y pequeño, medidos en metros.

Si sabemos que [tex]F_{1} = 35000\,N[/tex], [tex]D_{1} = 0.30\,m[/tex] y [tex]D_{2} = 0.02\,m[/tex], entonces la fuerza necesaria para el émbolo pequeño es:

[tex]F_{2} =\left(\frac{0.02\,m}{0.30\,m} \right)^{2}\cdot (35000\,N)[/tex]

[tex]F_{2} = 155.556\,N[/tex]

Necesitamos una fuerza de 155.556 newtons para el émbolo pequeño.

Marsha buys x pens at $0.70 per pen and one pencil for $0.10. Which function gives the total amount Marsha spends? A C(x) = (0.70+ 0.10)x B C(x) = 0.70x + 0.10 C(x) = 0.70x + 10 C(x) = 0.70x + 0.10x​

Answers

Answer:

B C(x) = 0.70x + 0.10

Step-by-step explanation:

Number of pens = x

Cost of pens = $0.70

Number of pencil = 1

Cost of pencil = $0.10

Total cost, C(x) = (Number of pens * Cost of pens) + (Number of pencil * Cost of pencil)

= (x *0.70) + (1 * 0.10)

= 0.70x + 0.10

C(x) = 0.70x + 0.10

The answer is

B C(x) = 0.70x + 0.10

Joshua buys p pounds of bananas for 40 cents per pound. He pays the clerk with a fifty-dollar bill. The clerk subtracts the total cost of the bananas from the fifty-dollar bill to determine the amount of change to give Joshua. Write an expression to represent this scenario. Then, determine how much change Joshua will receive if he buys three pounds of banana

Answers

Answer: Change he would get = 50-  40p

Joshua will receive $48.8 if he buys three pounds of banana.

Step-by-step explanation:

Given: Cost per pound of banana = 40 cents= 0.40 dollars  [1 cent = 0.01 dollar ]

Number of pounds bought = p

Now, total price need to pay = (Cost per pound of banana) x (Number of pounds bought ) = 0.40p

Now, He pays the clerk with a fifty-dollar bill.

So, the change he would get = 50-  0.40p  , which is the required expression.

When p= 3

then, change he would get = 50-0.4(3)=50-1.2 = $48.8

Joshua will receive $48.8 if he buys three pounds of banana.

d = number of dollars
p = number of pounds
Drag each table and equation to the unit rate it matches

Answers

Answer:d number of dollars

Unit Rate = 3 dollars/pound

D P

3 1

6 2

12 4

Unit Rate = 1/3 dollars/pound

p = 3d

Unit Rate = 9 dollars/pound

1/3 dollars/pound

&

D P

1    1/9

9     1

18    2

Which fraction is not in simplest form?
a.10/21
b.6/7
c.3/5
d.4/6

Answers

D cause you can put 2 into both 4 and 6 and if you can put a number into both numbers that means it’s not in its simplest form:)

Answer:

D.

Step-by-step explanation:

10 and 21 both do not have a common factor which means that a isn't the answer. 6 and 7 also don't have a common factor which means that b isn't the answer. 3 and 5 don't have a common factor which means c isn't the answer. 4 and 6 have a common factor of 2 which means that is the answer. The fraction could be simplified to 2/3.

Hope this Helped!!! :)

graph the line with the equation y=6x-2​

Answers

From the equation y = 6x -2, we can get (by plugging in x = 0 and y = 0) 2 points:

y = 6(0) - 2 --> y = -2 --> (0, -2)

0 = 6x - 2 --> 2 = 6x --> 1/3 = x --> (1/3, 0)

We can plot those 2 points to get the graph shown.

The graph will show a line that starts from the point (0, -2) and increases as we move to the right

To graph the line with the equation y = 6x - 2, we can plot a few points and connect them to form a line. Here are a few points that satisfy the equation:

When x = 0, y = 6(0) - 2 = -2. So, we have the point (0, -2).

When x = 1, y = 6(1) - 2 = 4. So, we have the point (1, 4).

When x = -1, y = 6(-1) - 2 = -8. So, we have the point (-1, -8).

We can plot these points on a coordinate plane and draw a line passing through them.

The graph will show a line that starts from the point (0, -2) and increases as we move to the right. The slope of 6 indicates that for every increase of 1 in the x-coordinate, the y-coordinate increases by 6. The line has a positive slope, moving upward from left to right.

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Which is the algebraic expression for "two less than the
product of seven and a number?"

Answers

7n-2
Where n represents the number

Hope this helps!

I need help solving this problem PLEASE HELP

Answers

Answer:

476

Step-by-step explanation:

A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=7∣z 1 ∣=7vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 7 and an angle \theta_1=270^{\circ}θ 1 =270 theta, start subscript, 1, en subscript, equals, 270, degrees. Express z_1z 1 z, start subscript, 1, end subscript in rectangular form, as z_1=a+biz 1​ =a+biz, start subscript, 1, end subscript, equals, a, plus, b, i.

Answers

Answer:

z1 = 0+7i.

Step-by-step explanation:

Given the complex number

|z1| = 7 and θ1 = 270°

We are to express z1 in rectangular form as;

z1 = a + bi

|z1| = √a²+b² = 7

a²+b² = 7²

a²+b² = 49

.also argument θ1 = tan^-1(b/a) = 270°

Apply tan to both sides

tan(tan^-1(b/a)) = tan270°

b/a = tan270°

b/a = ∞

Since b/a doesn't exist, this means that the denominator is zero i.e a = 0

Substitute a = 0 into a²+b² = 49 to get b as shown;

0²+b² = 49

b² = 49

b = ±√49

b = ±7

Substitute a= 0 and b = ±7 into the rectangular form of the complex number.

z1 = a+bi

z1 = 0+7i

Hence the value of z1 in its rectangular form is z1 = 0+7i.

Answer:

z = 5.785 + 6.894i

Step-by-step explanation:

Question 2: The value of a motorcycle was £14000 on 1st April 2014.
Every three months the value of the motorcycle decreases by 2% of its value at
the start of that three months.
What was the value of the motorcycle on 1st April 2016?
Question 3: When a ball is dropped, it bounces and then rises.
The ball rises to 90% of the height from which it is dropped.
The ball is dropped from a height of 4m.
(a) Calculate the height of the rise after the first bounce.
(b) Calculate the height of the rise after the second bounce.
The ball carries on bouncing, each time rising to 90% of the last rise.
(C) For how many bounces does it rise to height greater than 1m?
Question 4: The population of a country is increasing by 5% a year.
How many years will it take the population of the country to double?
Question 5: Raheem and Ben invest money in 2010.
Raheem invests £1000 at Banks'R'us, who pay 3% interest per year.
Ben invests £1400 at Bank World, who pay 1% interest per year
In which year will Raheem's investment be worth more than Ben's?
Question 6: The population of a country increases by x% each year.
In 2014 the population of the country was 24,000,000.
Three years later, the population was 26,996,736.
Find x.
Question 7: Charlotte invests £5000.
The bank pays 10% interest for the first year and then y% every year after that.
After three years, Charlotte has £5610.55
Calculate y.​

Answers

Answer:

Question 2: £11910.68

Question 3: (a) 3.6m (b) 3.24m (c) 13 bounces

Question 4: 15 years

Question 5: 2028

Question 6: 4%

Question 7: 1%

PLEASE HELP ME!!! −30=5(x+1) when x= what

Answers

Answer:how do you want the answer like do you want to it simplified as a fraction or what

Step-by-step explanation:

Answer:

X=-7

Step-by-step explanation:

Riley bought a spiral notebook for $3.99 and 2 packages of pens for $2.45 each. How much money did Riley spend?

Answers

riley spent $8.89 on a spiral notebook and 2 packs of pens

Answer:

8.89

Step-by-step explanation:2.45+2.45=4.90 and 4.90+399=8.89

Pita has 12 coins in her bag.There are 3 1 pound coins and 9 50p coins she takes 3 coins at random.Work out the probability that she takes exactly 2.50

Answers

Answer:

27/220

Step-by-step explanation:

With regards to the above, Pita would have to pick 2 pound coins and 1 50p coin to get £2.50

Then, the probability of picking 1 pound then 1 pound, then 50 Pound

= 3/12 × 2/11 × 9/10

= 9/220

It therefore means that the number of arrangement possible of 2 pounds and 1 50 pounds

= £ - £ - 50 , £ - 50 - £ and 50 - £ -£

= 3

Hence, the required probability

= 3 × 9/220

= 27/220

Solve for x. please give me the right answer

Answers

Answer: 55 or 65 I am not quite sure.

Step-by-step explanation:

You are offered two different sales jobs. The first company offers a straight commission of 7% of the sales. The second company offers a salary of $ 330 per week plus 3% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

Answers

Answer:

you must make 8250 sale in a week

Step-by-step explanation:

let the number of sale be x

let the total amount earned be y

The first job

7% of x= 0.07x

y=0.07x----------------1

The second job

$330

3% of x= 0.03x

y=330+0.03x-------------2

equating 1 and 2 we have

0.07x=330+0.03x

solving for x we have

330=0.07x-0.03x

330=0.04x

divide both sides by 0.04 we have

330/0.04=x

x=8250

you must make 8250 sale in a week

The following information is known about a savings account.

Time = 6 years
Interest rate = 1.9%
Principal = $850

What amount of simple interest will be earned?
A. $16.15
B. $96.90
C. $946.90
D. $9,690.00

Answers

Answer:

C.$946.90

Step-by-step explanation:

S.I = 850×1.9×6÷100= $946.90

Answer:

I=prt

I=850×0.019×6

I=96.90

Step-by-step explanation:

Mr. vang order 10 copies of novels for students he has a coupon for 5$ off the total price of the order. the total cost of the order, before tax, came to a minimum of $105 what's the price of each novel

Answers

since he has $5 coupon we subtract 105-5= 100 because they added the coupon yet so we divide 100 by 10 and you get 10 so $10 per novel

Answer this for brainliest

Answers

Answer: If my math was correct I'm so sorry if it isn't, it should be P' = (0, -1) <3

Step-by-step explanation:

P' = (x - 6, y - 1)  

P' = ((6) - 6, (0) - 1)

P' = (0, -1)

<3

P.s Love the pfp ;3

If a polynomial is prime, then it cannot be factored. conclusion

Answers

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial

The measure of angle MBT is

Answers

Answer:

28 is the answer

Step-by-step explanation:

The answer is the angles 28

Mary brought $20 to the skating rink. She paid $5.50 admission and $3.75 to rent skates. She also purchased two bottles of water for $1.25 each, and a snack for $2.75. Which expression can be used to determine how much money Mary has left? How much money does Mary have left?

Answers

Answer:

Amount left = $5.5

Step-by-step explanation:

Given:

Total amount = $20

Spend for admission = $5.50

Spend for rent = $3.75

Spend for 2 bottle = $1.25 each

Spend for snack = $2.75

Find:

Amount left

Computation:

Amount left = Total amount - Spend for admission - Spend for rent - Spend for 2 bottle - Spend for snack

Amount left = $20 - $5.5 - $3.75 - 2($1.25) - 2.75

Amount left = $5.5

Answer:

Amount left = $5.5

Step-by-step explanation:

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Answers

Answer:

Step-by-step explanation:

The direct variation is defined as

where, k is constant of proportionality.

It is given that a direct variation function contains the points (-8,-6) and (12, 9).

Substitute x=-8 and y=-6 in the above equation.

Divide both sides by -8.

The value of constant of proportionality is . So, the required equation is

At x=12,

It means, the line passing through (12,9). Hence, the equation is correct.

Therefore, the equation of the function is .

Answer:

C

Step-by-step explanation:

An experiment was conducted to evaluate the success of a methicillin-resistant Staphylococcus aureus (MRSA) vaccine. MRSA can be prevented if subjects
regularly wash their hands. The subjects were treated, but only some of the vaccines were successful. The researchers are unsure whether this was a result of hand washing or the vaccine alone. What is this an example of?
A. Confounding
B. The placebo effect
C. Blinding
D. Replication
E. Bias

Answers

I think it’s B because usually when testing a new drug they would have some people have the drug but the other people wouldn’t and the doctors and the patients won’t know what they get

Answer:

a

Confounding

Step-by-step explanation:

There are two variables that could have lead it being successful, thus the variables are confounding.

Other Questions
People in the Middle East began to join together and find unity based on religion, values, and culture as an effect of European partitioning. This is known as __________.A.imperialismB.nationalismC.IslamismD.socialismPlease select the best answer from the choices provided Write the definition of a function that take one number, that represents a temperature in Fahrenheit and prints the equivalent temperature in degrees Celsius. PromptUse the passage below to answer parts A, B, and C of the question that follows."My thesis is that the religion of Africa disappeared from the consciousness of the American slave; that the slave himself, by contact with a new environment, became a decidedly different person, having a new religion, a primitive Christianity, with the central emphasis, not upon this world, but upon heaven.My task is to show that the religion of the Negro slave between 1619 and the Civil War did not originate in Africa, but was something totally different . . . and that this distinctive element in the religion of the slave grew out of his contact with Christianity in America. In taking this position I have tried to give due weight to those considerations which tend to support a contrary position, such as the inertia of African habits and traditions in the life of the American slave, and the hostile tendency of his social surroundings to religious development. On the other hand, I have considered the disintegrating effects of the American slave system upon black groups that originated in Africa, together with the American slave's new social contacts, which produced in him the religious attitude found, and out of which arose the early slave-preacher and church. G. R. Wilson, "The Religion of the Negro Slave: His Attitude toward Life and Death, The Journal of Negro History, 1923a) Identify ONE specific example of the relationship between the transatlantic slave trade and cultural exchange in the New World that would tend to support Wilsons argument.b) Identify ONE specific example of the effect of the plantation economy on enslaved peoples culture in the Americas that would tend to support Wilsons argument.c) Identify ONE specific example of how religious syncretism emerged as a consequence of exposure to new religious values and cultures that would NOT tend to support Wilsons thesis. Which size of yogurt shown in the table has the lowest unit price? Solve: 2x 1125Yeeeeeeeeeeeeeeeeeeeeer What does Roosevelt think about special interests? simplify the expression and write in standard form 3(x - 4) + 5 x What was the reasoning given by the Supreme Court for making their decision on the Plessy vs. Ferguson case? (Please help me it need this before 10-30-2020) Write the following rate as a unit rate:Immersive Reader20 pounds for $4 What is a Delegate?someone who lost an electionsomeone who is running for officea person elected to represent them in a votea person who is appointed to represent you in a vote help me please someone actually help . if rendom youre getting reported sorry what is one reason. why colonial government established Which of the following pairs of functions are inverses of each other? what are the functions of the parietal lobe Match each character or place from Sir Gawain and the Green Knight to the correct description.Sir Gawaina warrior who makes a challenge to thecourtthe Green Knightone of King Arthur's knightsCamelotKing Arthur's castle need help on my homework please What do magnesium and chlorine react to form?A. O Mg2Cl2. OMgCIC. MgCl2D.Mg2C1 The grooves of the cerebrum are the f(x)=x^3+6x^2-x-30;(x+5) What is the purpose of a macro in a word processor? A. to display keyboard shortcutsB. to determine typing speedC. to determine error rateD. to provide spelling suggestion