PRACTICE Describe the domain and range of each function using inequality or set-builder notation.​

The value of 2⁴ + 9x + 2 when x = 2  is 36.

Given:

Algebraic expression is 2⁴ + 9x + 2

Where x = 2

So substituting the value of x to find the result of the expression,

2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36

Hence the value of the expression is 36.

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Answer: His slope should be positive because the trend line is slanted up to the right.

Step-by-step explanation:

This answer is correct because the third line is slanted up to the right, so it makes it positive.

Answer:

Your answer would be the last one since that's the one that doesn't have a changed result when the numbers are moved around.

well, let's first check with the Bank

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$16000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &3 \end{cases} \\\\\\ A=16000[1+(0.08)(3)] \implies A = 19840~\hfill \underset{monthly~payment}{\stackrel{19840~\div \stackrel{months}{36}}{\approx \text{\LARGE 551.11}}}[/tex]

now let's check with the Credit Card

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]

[tex]A=16000\left(1+\frac{0.15}{12}\right)^{12\cdot 7} \implies A \approx 45425.81~\hfill \underset{monthly~payment}{\stackrel{45425.81~\div \stackrel{months}{84}}{\approx\text{\LARGE 540.78}}}[/tex]

well, seems the Credit Card is the better deal monthly wise, though in the long run is a lot of dough.

A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where: A represents the future value.

P represents the principal or original value.

r represents the interest rate.

t represents the time.

Now Substituting the given parameters into the formula, we have,

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we will calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we will calculate the compound interest earned on the credit card :

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we will calculate the monthly payment over a period of 84 months as follows;

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.

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Solution

In a cyclic quadrilateral, opposite angles is supplementary.

=> 3x - 59 + 2x - 1 = 180

=> 5x - 60 = 180

=> 5x = 180 + 60

=> 5x = 240

=> x = 48

Angle A = 2(48) + 4 = 100

Also, A + C = 180

=> C = 180 - 100

=> C = 80

Answer:

Mira is correct

Step-by-step explanation:

She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example

1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.

2. The missing value in the table will be 7.5 miles and 8.75 miles.

It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.

1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:

y = kx

where y = distance

x = time

3/4 = 6x

0.75 = 6k

Divide

k = 0.75 / 6

k = 0.125

The constant of proportionality is 0.125.

2. The missing value in the table will be:

y = kx

when x = 60.

y = 60 × 0.125 = 7.5 miles.

y = kx

when x = 70

y = 70 × 0.125 =8.75 miles.

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Answer:

Infinite many solutions

Step-by-step explanation:

4x + 2 = 4x + 2

-4x         -4x

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

2 = 2

or

4x + 2 = 4x + 2

      -2          -2

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

4x = 4x

Infinite many solutions

I hope this helps!

Answer:

-2

Step-by-step explanation:

It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.

Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).

The percentage change in the home sale price between the year 1970 and 2010 is 13.01%

It is a relative value used to denote hundredths of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. A number's percentage is its weight in relation to 100. For example in the case, there are 26 females and 24 boys in a class. 52% of the class is made up of girls, which means that out of 100 students, 52 are female.

Given Data

Average home sale

1980 = $18300

1990 - 2010= $2000

Percentage sale = [tex]\frac{20300}{156000}[/tex] × 100

Percentage sale = 13.01

The percentage change in the home sale price between the year 1970 and 2010 is 13.01%

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Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The height of the arch is about 6.71 feet when measured from its base at a distance of one foot.

This is further explained below.

Generally, An ellipse is a collection of points whose distances from a fixed point (focus) or fixed line (directrix) is constant and less than 1.

Depending on whether the transverse axis is horizontal or vertical, we may construct an equation for the ellipse. The main axis is located along the transverse axis. The ellipse may be represented using the following equations:

[tex]\begin{aligned}&\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\&\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\end{aligned}[/tex]

An elliptical arch is described as having a center height of 9 feet and a width of 6 feet. The precise height of the arch from the base has to be determined.

[tex]\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1[/tex]

The center (h, k) is where the graph is since we centered it at the origin (0,0). We only need to enter the numbers into the equation at this point.

[tex]\begin{aligned}\frac{(y-0)^2}{9^2}+\frac{(x-0)^2}{3^2} &=1 \\\frac{y^2}{81}+\frac{x^2}{9} &=1\end{aligned}[/tex]

Since we divided the arch in half, 0 [tex]\leq[/tex] 9 in this instance. All that is left to do is calculate the arch's height in feet from the base.

The height of 1 foot from each end of the arch must thus be determined. The locations of the arch's ends are x=-3 and x=3. Here, we have a choice between the two. We may choose x=3-1=2 for this. Therefore, all that is left to do is enter x=2 in our usual form and work out the value of y that results.

[tex]\frac{y^2}{81}+\frac{(2)^2}{9}=1[/tex]

y^2+36=81

y^2+36-36=81-36

y=3√5

Therefore, the height of the arch at 1ft from the base is 3 √5ft or approximately 6.71ft

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The numbers are  26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10​. The order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.

Given that,

The numbers are  26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10​.

We have to find the order of the numbers from least to greatest.

The order of the numbers from least to greatest is nothing but an ascending order.

Ascending order is nothing but ascending order refers to the grouping of information from the lowest to the highest value. Increasing order is another name for it.

Now, we take the numbers

1st number is 26.087.

2nd number is 2.6×10=26.

3rd number is 26.079.

4th number is 2.6432×10=26.432.

5th number is 26.295.

6th number is 2.6803×10=26.803.

Now, we write in ascending order

26, 26.079, 26.087, 26.295, 26.432, 26.803.

Therefore, the order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.

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Answer:

$0

Step-by-step explanation:

Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?

$75 beginning balance - $75 withdrawal = $0

Check the picture below.

Answer:

y+3= 1/5 (x+2)

Step-by-step explanation:

The point slope form looks like this.

y - y1 = m (x - x1)

the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.

Answer:

4 m and 62.5 cm

Step-by-step explanation:

1 meter = 100 cm

So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm

If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm

462.5 cm = 462.5/ 100 = 4 m and 0.625 m

0.625m = 0.625 x 100 = 62.5 cm

So each piece is 4 m and 62.5 cm

In the given number series 3, 12, 60, 240, 1200, the next number is 4800.

3, 12, 60, 240, 1200

Solution:

In the given sequence,

3, 12, 60, 240, 1200

Each intermittent number is multiplied by 4 and the number next to it by 5.

3*4 = 12

12*5 = 60

60*4 = 240

240*5 = 1200

1200*4 = 4800

Therefore, the next number is 4800.

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Answer:

bottom right rectangle: 5x − y

bottom circle: 6x

Step-by-step explanation:

First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:

(9x + 4y) − (4x + 5y)

= (9x − 4x) + (4y − 5y)

= 5x − y

Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):

(x + y) + (5x − y)

= (x + 5x) + (y − y)

= 6x

Answer:

Step-by-step explanation:

Slope= rise/run or y2-y1/x2-x1

the two points are (4,-4) and (1,4)

so, it is (( -4) - 4) /(4-1)= -8/3

slope = -8/3

Answer:

[tex]1.16 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex](3.28 \times {10}^{8} ) - (2.12 \times {10}^{8} ) = 1.16 \times {10}^{8} [/tex]

The area of a circle with the value of its circumference as 60cm is 286. 38cm²

The formula for determining the formula for circumference of  a circle is expressed as;

Circumference = 2 πr

Given that;

Now, we have to substitute the value of circumference of the circle as 60cm

We have;

60 = 2 πr

Now, substitute the value for π into the equation, we have;

60 = 2× 3.14r

Multiply the values, we get;

60 = 6.28r

Make 'r' the subject of formula in the equation

r = 60/6.28

r = 9.55cm

But we know that e formula for area of a circle is expressed as;

Area = πr²

Now, substitute the value of radius into the formula, we have;

Area = 3. 14(9.55)²

Find the squares

Area = 3.14(91.2025)

Multiply the values by expanding the bracket

Area = 286. 38cm²

Hence, the area is 286. 38cm²

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if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not  change the value of p(odd number) .

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = number of odd digits / number of faces = 4/6=2/3

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=1/7

P(odd number) = 3 * Prob(1) + Prob(3)

=3*1/7 +2/7 = 5/7

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The new price after being marked up is less than initial price of $100.

The price of sweatshirt after discount = 100 - 40%×100

Converting percentage to fraction

The price of sweatshirt after discount = 100 - (40/100)×100

The price of sweatshirt after discount = 100 - 40

Performing subtraction

The price of sweatshirt after discount = $60

The marked up sale price = 60 + 40%×60

Converting percentage to fraction

The marked up sale price = 60 + (40/100)×60

Cancelling zero and performing multiplication

The marked up sale price = 60 + 24

Performing addition

The marked up sale price = $84

Thus, the marked up price after discount will be less than the initial price of $100.

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Answer:

The selling price of one table-tennis is $221.40

Step-by-step explanation:

The value of x / y in the given equation will be -2 / 3. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x+y) = y, the value of x / y will be calculated as:-

3(x+y) = y

( x + y ) / y = 1 / 3

( x / y ) + 1 =  1 / 3

( x / y ) = ( 1 / 3 ) - 1

( x / y ) =  -2 / 3

Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.

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The volume of the pile based on the width, height, and length of the pile can be found to be 1.43 m³

The volume of the pile can be found by the formula:

= Length x Width x Height

From the question, the dimensions of the pile are:

Length = 110 cm

Width = 100 cm

Height = 130 cm

The volume is:

= 110 x 100 x 130

= 1,430,000 cm³

Converted to meters gives:

= 1,430,000 / 1,000,000

= 1.43 m³

In conclusion, the volume in meters of the pile is 1.43 m³

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If Kareem has completed 28 out of the 40 deliveries he needs to fulfill this week, then he has completed 70 percentage of his total deliveries.

As per the question statement, Kareem needs to make a total of 40 deliveries this week, and he has completed 28 thus far.

We are required to calculate the percentage of deliveries, Kareem has completed so far.

To solve this question, we simply need to divide the number of deliveries completed so far, by the total number of deliveries Kareem needs to fulfill in the week, and then multiply the quotient with 100, to obtain our desired answer.

Here, number of deliveries completed so far by Kareem  = 28,

And, total number of deliveries Kareem needs to fulfill = 40.

Therefore, percentage of deliveries, Kareem has completed so far

= [(28/40) * 100]

= [(7/10) * 100]

= (7 * 10)

= 70%.

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