Louise completed the work shown below.

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.


Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Answer:

The pennies

Step-by-step explanation:

We can create a geometric equation for the pennies and an arithmetic equation for the dollars.

The format for a geometric equation is

[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]

If we plug in the values we already know we should get the equation.

[tex]y=2^x-1[/tex]

Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.

[tex]2^{365}=7.52*10^{109}[/tex]

Which is basically 752 with 107 zeros following it.

Then we can divide this number by 100 to find the number of dollars it is.

We get 752 with 105 zeros following it.

Now we can find the arithmetic equation for the dollars.

We can see that 10 dollars is being added every time.

Use the formula.

[tex]a_n=a_1+m(n-1)[/tex]

We can plug in.

[tex]a_n=10+10(n-1)[/tex]

Now we can substitute 52 for [tex]x[/tex] in the equation.

[tex]a_{52}=10+10(52-1)[/tex]

[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]

So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.

Answer:

I believe the correct answer would be 220 meters.

Step-by-step explanation:

If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.

The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W units

The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be

Width = 5.5 cm

Length = 10 cm

Then the actual length and width will be

L = 10 x 2 = 20 meters

W = 5.5 x 2 = 11 meters

Then the area of the rectangle will be

A = 20 x 11

A = 220 square meters

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

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Answer:

$1800

Step-by-step explanation:

If we pay $25 monthly, then at the beginning of the seventh month you should have paid:

$25*6 = $150

At the beginning of the seventh month we will have:

$1950 - $150 = $1800.

No interested is charged during the introductory period, so at the beginning of the seventh month the balance will be $1800.

Answer:

it is $2,045.91

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rs[/tex]

r - radius

s - slant height

We have r = 5m and s = 12m. Substitute:

[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]

The formula of a surface area of a cone:

[tex]S.A.=\pi r(r+s)[/tex]

Substitute:

[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]

Answer:

Step-by-step explanation:

5x + 6 ≥ -34        subtract 6 from both sides

5x + 6 - 6 ≥ -34 - 6

5x ≥ -40            divide both sides by 5

x ≥ -8

and

-2x - 2 > -10          add 2 to both sides

-2x - 2 + 2 > - 10 + 2

-2x > -8          change the signs

2x < 8        divide both sides by 2

x < 4

We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4

Your answer will be 3x+21

Answer:

3x+21

Step-by-step explanation:

using the distributive property, you multiply 3 times x and 7 times 3, then add them together

Least: 10.5

Greatest: 14.125

Hope that helps!

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The data is given below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Arrange the order into ascending order. Then we have

10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

More about the ascending order link is given below.

https://brainly.com/question/320500

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Answer:

[tex]1.2\ hours[/tex]

Step-by-step explanation:

we know that

Joey can paint a room in 2 hours

That means

Joey can paint the 100% of the room-------> 2 hours

so

In 1 hour ------> can paint 100%/2=50%

Chelsea can paint a room in 3 hours

That means

Chelsea can paint the 100% of the room-------> 3 hours

so

In 1 hour ------> can paint (100%/3)=33.33%

therefore

Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%

by proportion

[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]

Answer:

b(3) = -16

Step-by-step explanation:

b(1) = -2

b(n) = b(n-1) - 7

so

b(2) = b(1) - 7 = -2 - 7 = -9

b(3) = b(2) - 7 = -9 - 7 = -16

Answer:

-2 - 8 = -10

Step-by-step explanation:

-2 -8= -10

When adding negatives you add as usual and keep the sign.

Combine like terms:

3 x 2 - 2x + 7 - 57 - 4x + 10

-34 - 6x

Answer:

 a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Step-by-step explanation:

Answer:

a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Answer: 147

V= lwh/3 = 7*9*7/3 = 147

let me know if im wrong.

Answer: A

Step-by-step explanation: It is a PT tripple 3,4,5

Also if you take the legs of the right triangle and square and add they get 5

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Answer:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Step-by-step explanation:

Hope this helps darlin

Answer:

8/10

Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5

Answer:

8/10

Step-by-step explanation:

we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!

×║hope this helps you║×

The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Answer:The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Step-by-step explanation:

Answer:

x=320+t-s

Step-by-step explanation:

Answer:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]

Here:

[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

[tex]a_{1}[/tex] is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

This formula can be used to represent the given sequence.

Solution

[tex]\sqrt{x-2}-4=x-6\\\\\sqrt{x-2}=x-6+4\\\\\sqrt{x-2}=x-2\\\\ \text{Squaring both sides}\\\\x-2=x^2-4x+4\\\\x^2-4x-x+4+2=0\\\\x^2-5 x+6=0\\\\ \text{Splitting the middle term}\\\\x^2-3x-2x+6=0\\\\x(x-3)-2(x-3)=0\\\\(x-2)(x-3)=0\\\\x=2,3[/tex]

Put, x=2 and x=3 in original equation

⇒For, x=2

LHS

 [tex]\sqrt{2-2}-4\\\\=-4[/tex]

RHS

4-6

= -2

LHS=RHS

Hence, x=2 , is solution of the system.

⇒For , x=3

.LHS=

[tex]\sqrt{3-2}-4\\\\=1-4\\\\=-3[/tex]

RHS

3-6=-3

Hence, x=3 , is solution of the system.

Option C

x=3, is true solution.

Option E:

The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.

Answer:

C, E

Step-by-step explanation:

got it right on edge

8 * x + 6

or

6 + ( 8 * x)

Answer:

[tex]6 + 8 \times x[/tex]

Step-by-step explanation:

Given the statement:

Translate the sum of 6 and the product of 8 and x

"Product of 8 and x" translated to: [tex]8 \times x[/tex]

"Sum of 6 and the product of 8 and x" translated to :

[tex]6 + 8 \times x[/tex]

Therefore, the given statement into  a mathematical expression is:

[tex]6 + 8 \times x[/tex]

Answer:

11 hours.

Step-by-step explanation:

One worker worked 6 hours, the other worked 5. 5+6 = 11

Answer:

C. external failure costs.

A. this is because when you multiple 280 by 9 you get 2,520 and to get 25% multiple that number by .25 and get 630, add 2520 and 630 to get 3150 ,, subtract 3114 from 3150 to get 36

Answer:

A. He will break the record by 36 yards.

Step-by-step explanation:

Last year:

average yards per game: 280 yards

Increase by 25%:

average yards = 125% of 280 yd = 1.25 * 280 yd = 350 yd

By increasing the yards per game by 25% he will have an average of 350 yd per game this year.

The school record is 3,114 yd, so the average per game for a 9-game season is: 3,114 yd/9 = 346 yd.

He will pass the record by 350 yd - 346 yd = 4 yd per game.

In a 9-game season, he will break the record by 9 * 4 yd = 36 yd.

Answer: A. He will break the record by 36 yards.

Each drink costs $2.

Answer:

Dependent Pair of Events: A

Independent pairs of events: B,C,D,E

Step-by-step explanation:

Lets look at each pair one by one..

A. the selling price of a product and its manufacturing cost

We can clearly see that the selling price of a product is always determined on the basis of it's manufacturing cost.

So A is a pair of dependent events.

B. your pulse rate and your friend’s pulse rate

The pulse of rate of one person has nothing to do with the pulse rate of another person.

So B is a pair of independent events.

C. the price of a cell phone and the price of a TV

The price of cell phone and Tv are not related to each other at any level..

So C is a pair of independent events.

D. your calorie intake and your friend’s calorie intake

One person's calorie intake is not related or dependent on any other person's calorie intake.

So D is a pair of independent events.

E. the distance of your home from school and your friend’s home from school

The distances of one person's home from school doesn't affect the distance of another person's home from school.

So E is a pair of independent events..

I think it has one x-intercept which is (0, -47). I am not really sure though.

Answer:the brow

Step-by-step explanation: you can just make the brown rice weigh as much as the white, 32 or 16.(16x2 is 32 and 32/2 is 16). 79 plus 79 is 1.68. Making the 32 oz of brown 1.68. Showing that the brown is cheaper.

Answer:

A 16 oz. package of brown rice for 79 cents is better deal.

Step-by-step explanation:

79 cents/16 oz≈4.94 cents / oz - 1st package

349 cents/32 oz≈10.91 cents/oz - 2 nd package

For the second package price per oz is more. So 1st package is better deal.

Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.

Step-by-step explanation:

For this case we have that, by definition of properties of powers and roots, it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Now, from option B we have:

[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex](x ^ {\frac {a} {m}) ^ b =[/tex]

[tex]x ^ {\frac {ab} {m}} =[/tex]

[tex]\sqrt [m] {x ^ {ab}}[/tex]

Thus, it is observed that equality was demonstrated.

THE correct option is B.

ANswer:

Option B

False, the mass of an object never changes. The weight of an object may vary due to the location but the mass never changes. The mass is said to be changes only when an object travels very fast ( like close to speed of light).But not in the above mentioned cases.

Answer:

False

Step-by-step explanation:

Mass is defined as the amount of matter within an object which will never change. This question is trying to trick you since most people use the words mass and weight interchangeably which is not true. Weight is the amount of gravitational force acting upon you which does change with altitude but mass does not.