Multiply (x + 1)³
(x + 1)³= (x + 1)(x + 1)²
DONE
= (x + 1)(x² + 2x + 1)
= x³ +
²+
x +

Answer:

Step 1:

To find ordered pair solutions, you could create an x and y graph and fill out the x side. Then, plug in an x number to get your y number and graph the ordered pairs to see if they give you a straight line. I'm going to use these numbers: -1, 0, 1, and 2.

\(...x...|...y...\)

\(\left[\begin{array}{ccc}-1&?\\0&?\\1&?\\2&?\end{array}\right]\)

Now, let's plug in -1 into the equation first to see what we get for y.

\(y=8(-1)+3\\y=-8+3\\y=-5\\(-1,-5)\)

-5 is our y if x was -1.

We do the same for the other three numbers.

\(y=8(0)+3\\y=0+3\\y=3\\(0,3)\)

\(y=8(1)+3\\y=8+3\\y=11\\(1,11)\)

\(y=8(2)+3\\y=16+3\\y=19\\(2,19)\)

Step 2:

With all that done, we can now fill out our table and graph the points.

\(....x...|...y....\)

\(\left[\begin{array}{ccc}-1&-5\\0&3\\1&11\\2&19\end{array}\right]\)

If you graph these points on graph paper / a graphing website, you will see that these points go in a straight line. If you are given an ordered pair already (for example: (3,5)), then all you have to do is plug in the x into the equation (3) and see if the outcome is true (5).

\(5=8(3)+3\\5=24+3\\5\neq 27\)

Since they don't equal each other, then (3,5) is false.

Here is the graph for the table above. I hope I helped you!

Lets go over the solutions.

Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.

Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.

Hence, our two solutions are:

Both \((1, 11)\) and \((-1, -5)\).

Hope this helps!

Answer:

Sampling frame

Explanation:

A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.

Recall that

\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)

which means

\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)

Given that \(r+\frac1r=\sqrt2\), we have

\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)

\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)

The fraction 13/7 lies between the fractions 6/6 and 6/7.

We have,

Between the fractions 6/6 and 6/7, there are infinitely many fractions.

To find a fraction that lies between these two fractions, we can take their average.

The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.

To find the average, we add the two fractions and divide the sum by 2:

(6/6 + 6/7) / 2

To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.

Converting the fractions to have a common denominator:

(6/6) x (7/7) + (6/7) x (6/6) / 2

Simplifying the expression:

(42/42 + 36/42) / 2

Combining the numerators:

(78/42) / 2

Dividing:

78/42 = 13/7

Thus,

The fraction 13/7 lies between the fractions 6/6 and 6/7.

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It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.

To solve this problem, we can use the formula:

Time = Work ÷ Rate

Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.

Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).

Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).

If they work together, their combined rate of work is the sum of their individual rates:

Rate = Maria's rate + New clerk's rate

Rate = 1/12 + 1/13

Rate = (13 + 12) / (12 x 13)

Rate = 25 / 156

So, their combined rate of work is 25/156 jobs per hour.

Now, we can use the formula to find the time it takes for them to complete the job together:

Time = Work ÷ Rate

Time = 1 ÷ (25/156)

Time = 156/25

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Answer:

12

Step-by-step explanation: because 30 divided by 5/6 gives you your simplified answer of 12 when you switch over the incomplete progress of elimination when overwriting your decimal place so , that gives you 12

The solution for a number that satisfies the condition ''5/6 times a number is 30.'' is, 12

We have to give that,

To find a number which is 5/6 times a number is 30.

Now, let us assume that,

A number = x

Hence, it can be written as,

⇒ \(\dfrac{5}{6} \times x = 30\)

Solve for x,

Multiply by 6 on both sides,

⇒ \(5x = 10 \times 6\)

⇒ \(5x = 60\)

Divide 5 on both sides,

⇒ \(x = \dfrac{60}{5}\)

Simplify it,

⇒ \(x = 12\)

Therefore, the solution is, x = 12

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Answer:

44466

Step-by-step explanation:

Use the compound interest formula and substitute the values

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

D

Step-by-step explanation:

Answer:

C. Points

Step-by-step explanation:

Got it right on my quiz :)

Answer: undefined, not enough information

Step-by-step explanation:

Answer:

15+19 =34 is the perimeter of the closed figure

hope it helped you

Answer:

p(1+r/100)^t where P is the amount of money to be invested ,r is the rate at which its compounded annually and t is the duration or period NOTE 1is constant

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

5.2236 X 10^4

Step-by-step explanation:

52,236 in standard form is 5.2236 X 10^4

Answer: After reconciling her check register with her statement, Erin needs to make the following entry in her register: $1123.72 - $879.87 + $62.42 + $21 + $61.14 - $60.24 - $50.24 - $40 = $226.23. This is the updated balance in Erin's account after accounting for all the transactions that were not reflected on her bank statement.

Answer:

the answer is D (39.7, 39.175, 39.17, 3.917)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

See the image below:)

Answer:

Step-by-step explanation:

If you square both sides you get:

Solve it for x:

Answer:

x = 6

Step-by-step explanation:

\(\sqrt{5x - 7}\) = \(\sqrt{3x +5}\) ( square both sides to clear the radicals )

5x - 7 = 3x + 5 ( subtract 3x from both sides )

2x - 7 = 5 ( add 7 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

1.25x + 7.25 < 35.75 is the answer.

Answer:

w =4

Step-by-step explanation:

Divide the numbers

\(\frac{w}{6}=\frac{2}{3}\)

Multiply all terms by the same value to eliminate fraction denominators

\(6*\frac{w}{6}=6*\frac{2}{3}\)

Cancel multiplied terms that are in the denominator

\(w=6*\frac{2}{3}\)

Multiply the numbers

w = 4

[RevyBreeze]

We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;

Therefore,

the answer:

x=1

y= -1

z= 3

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

yay ryan is getting rid of his kitchen plates!!!

Step-by-step explanation:

Answer:

I think it's A

Step-by-step explanation:

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

good point I don't know that either

Answer:

1¼

Step-by-step explanation:

⅝ ÷½

=⅝ײ/1

=⁵/4

=1¼

Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is 5/16 of the pizza.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pizza = 5/8

Equally shared between two people:

= 5/8 ÷ 2

= 5/(8x2)

= 5/16

This means that the fraction of the original pizza that each person receives is  5/16 of the pizza.

Thus,

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is  5/16 of the pizza.

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