What are the solutions to the equation 3x-4y-8=12

Answer:

140 ft²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

note triangle has a base = 16 - 12 = 4 ft

Area = area of rectangle + area of triangle

        = (16 × 8) + ([tex]\frac{1}{2}[/tex] × 4 × 6)

        = 128 + 12

        = 140 ft²

Answer:

11*w=x

Step-by-step explanation:

x= the amount of money he will have after w weeks

so, 11 times the amount of weeks will give you the amount he has after any number of weeks

Answer:

Step-by-step explanation:

The first and the last of these functions are exponential functions.  Such functions can be recognized by the constant base and variable exponent found in each:  3^x, (5)^x, in this particular problem.

5x^2 is not an expo function because the base is not constant; this is called a power function.

the exponential function is f(x) = 3^x and 3(5)^x. Therefore, option a and d both are the correct answer.

The correct answers are f(x) = 3^x (choice A) and f(x) = 3(5) (choice D) for exponential functions, then it means you're considering a constant function (f(x) = 3(5)) as a simple form of an exponential function where the base is 3 and the exponent is 5.

This is a valid interpretation, but typically exponential functions are written as f(x) = a^x, where 'a' is a constant, and 'x' is the variable in the exponent.

In this case, if you're considering f(x) = 3(5) as an exponential function, it represents a specific case with a constant exponent.

So, both A and D can be considered as exponential functions depending on the context of the question.

Learn more about Exponential functions here:

https://brainly.com/question/28596571

#SPJ3

Answer:

Option C. The cost of transporting an automobile for a charge of $1.00 per mile with a pick-up fee of $100

Step-by-step explanation:

we know that          

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

verify each case

case A) The cost of purchasing candy bars at a price of $1.25 per candy bar.      

Let

y------> the cost

x----> the number of candy bars

The linear equation that represent the situation is

y=1.25x -------> represent a proportional relationship

case B) The number of cookies produced in a factory at a rate of 1,000 cookies per hour

Let

y------> the number of cookies

x----> the number of hours

The linear equation that represent the situation is

y=1,000x -------> represent a proportional relationship

case C) The cost of transporting an automobile for a charge of $1.00 per mile with a pick-up fee of $100

Let

y------> the cost

x----> the number of miles

The linear equation that represent the situation is

y=x+100 -------> not represent a proportional relationship

case D) The cost of a field trip to a museum for a group of high school students at a cost of $10.00 per student

Let

y------> the cost

x----> the number of students

The linear equation that represent the situation is

y=10x -------> represent a proportional relationship

Answer: The answer is B.

Find the ratio of the known sides.

6/4 = 1.5

The larger triangle is 1.5 times larger than the smaller one.

Area is in square units, so to find the area of the larger triangle square the ratio and multiply that by the area of the known triangle.

1.5^2 x 40 = 90 square cm.

Hey there!

When x=12 the equation would look like this: 3 + 5 * 12

Therefore, the answer is 63

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure.(the scale factor is greater than 1)

Part c) The scale factor is [tex]3[/tex]

Step-by-step explanation:

Part a) Write the similarity statement

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

substitute the values

[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45}[/tex]

[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3}[/tex] ----> is true

therefore

the figures are similar

Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure. (the scale factor is greater than 1)

Part c) we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z------> the scale factor

x-----> corresponding side of the image

y------> corresponding side of the original figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=A'B'=27\ units[/tex]

[tex]y=AB=9\ units[/tex]

substitute

[tex]z=\frac{27}{9}=3[/tex]

The scale factor is greater than 1

therefore

Is an enlargement

The answer is 645,000

Answer:

Step-by-step explanation:

[tex](-4a^2)(2a^{-3})^{-4}\qquad\text{use}\ (xy)^n=x^ny^n\ \text{and}\ (x^n)^m=x^{nm}\\\\=(-4a^2)\bigg(2^{-4}a^{(-3)(-4)}\bigg)\qquad\text{use}\ 4=2^2\\\\=(-2^2a^2)(2^{-4}a^{12})\\\\=-(2^2)(2^{-4})(a^2a^{12})\qquad\text{use}\ x^nx^m=x^{n+m}\\\\=-2^{2+(-4)}a^{2+12}\\\\=-2^{-2}a^{14}\qquad\text{use}\ x^{-n}=\dfrac{1}{x^n}\\\\=-\dfrac{1}{2^2}a^{14}\\\\=-\dfrac{a^{14}}{4}[/tex]

Answer:

get it down to a unit rate firstt by dividing the 129.5 by 7 dvds

$18.50

18.5x2=37

the 2 dvds were 37 dollars

Step-by-step explanation:

The basic operation that is used in finding the cost of n number of products is multiplication, if we know the cost of 1 article then we can find the cost of n numbers of articles by multiplying it with the cost of one article. Therefore, the cost price of 2 DVD's is $37.

Amee buys 7 DVDS for $129.50.

Thus,

The cost price of 7 DVDs is $129.50

We need to find the cost price of 2 DVDs.

First let us find the cost price of 1 DVD.

Therefore,

[tex]7 \;\rm{DVD's}= \$129.50\\1 \; \rm{DVD}=\frac{129.50}{7}\\1 \; \rm{DVD}=\$18.5[/tex]

Therefore, the cost price of 2 DVDs is $37.

To know more about cost price, please refer to the link:

https://brainly.com/question/20286603

there is no help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

For this case we must resolve the following expression:

[tex]9 ^ {\sqrt {3}}[/tex]

We have to, by definition:

[tex]\sqrt {3} = 1.732050808[/tex]

So:

[tex]9 ^ {1.732050808} =[/tex]

Evaluating in a calculator we have to:

[tex]9 ^ {1.732050808} = 44.95691576[/tex]

Rounding the obtained expression:

[tex]9 ^ {\sqrt {3}} = 44.9569[/tex]

Answer:

Option C

Answer:

C. asymptotes

Step-by-step explanation:

In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)

Function in the example:

[tex]\frac{(-2x-2)(2x-10)}{-9x-81} [/tex]

Final answer:

To complete a sign chart accurately, one needs to use test numbers surrounding each of the function's zeros and asymptotes, determining the sign of the function in those intervals. This helps in understanding the behavior of the function and solving inequalities.

Explanation:

To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and C. asymptotes which fills the blank correctly. When you're dealing with functions, especially rational functions, the sign of the function can change around its zeros and asymptotes. Zeros are the points where the function crosses the x-axis, and the function's value is zero. Asymptotes, on the other hand, are lines that the function approaches but never touches; the function's value heads towards positive or negative infinity as it gets close to an asymptote.

When creating a sign chart, you select test numbers from intervals between these critical points -- zeros and asymptotes -- to determine if the function is positive or negative in those intervals. This process helps to understand the behavior of the function across its domain and is essential in solving inequalities.

Here's an example:

Identify the zeros and asymptotes of the function.

Place these values in increasing order on a number line to define test intervals.

Choose a test number from each interval and substitute it into the function to check the sign.

Fill in the sign chart with the corresponding signs for each interval.

Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes

Step-by-step explanation:

Dylan,

If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.

To set up the "equation" think about it this way:  (1 mile/ t) = (4 mile/ 1 hr)

so 1/t = 4/1 hr  

now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)

t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.

The answer is 15 minutes because if he can walk 4 miles for only an hour and we know that an hour is 60 minutes

4. 60m

1. 15m

So what I have done there is just divide it by 4 to get one mile and divide 60 by 4 to get the 15 minutes

Answer:

D

Step-by-step explanation:

the slope is 12/10 which simplifies to 6/5 and the y intercept is 2

To find the largest of two numbers when given their product and sum, we can use the quadratic formula.  Let's denote the numbers as 'a' and 'b'. We know that 'a * b = 24' and 'a + b = 10'. We can rewrite the second equation as 'b = 10 - a' and substitute it into the first equation.  Solving the quadratic equation, we find that the larger of the two numbers is 6.

To find the largest of two numbers when given their product and sum, we can use the quadratic formula. Let's denote the numbers as 'a' and 'b'. We know that 'a * b = 24' and 'a + b = 10'. We can rewrite the second equation as 'b = 10 - a' and substitute it into the first equation.

Substituting 'b' into the equation 'a * b = 24', we get 'a * (10 - a) = 24'. Expanding and rearranging the equation, we have 'a^2 - 10a + 24 = 0'. Solving this quadratic equation, we find that the values of 'a' are 4 and 6. Therefore, the larger of the two numbers is 6.

Answer:

85

Step-by-step explanation:

15 times 6 is 90. This is how much money he spends on 6 DVDs if they're all $15. 90 subtracted by 5 (remember - he gets $5 off his entire purchase, not just each individual DVD) would be 85!

Answer:

The central angle ADC = 81°

Step-by-step explanation:

From the figure we can see a circle with circumference = 200 cm and arc ABC length = 45 cm

To find the central angle ADC

Circumference = 200 cm

Length of arc ABC = 45

we have

arc length = circumference * (central angle /360)

central angle = (arc length * 360)/circumference

   = (45 * 360)/200

   = 81 cm

Therefore the central angle ADC = 81°

Answer:

ADC=81

Step-by-step explanation:

Answer:

[tex]486\ toy\ boxes[/tex]

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

step 1

Convert the dimensions of the boxes to feet

[tex]4\ in=4/12=(1/3)\ ft[/tex]

step 2

Find the volume of the toy boxes

[tex]V=b^{3}[/tex]

[tex]V=(1/3)^{3}=(1/27)\ ft^{3}[/tex]

step 3

Find the volume of the crate

[tex]V=LWH[/tex]

[tex]V=(3)(3)(2)=18\ ft^{3}[/tex]

step 4

Divide the volume of the crate by the volume of the toy boxes to find the number of toy boxes

[tex]\frac{18}{(1/27)}= 486\ toy\ boxes[/tex]

Answer:

B .22

Step-by-step explanation:

The number of people who are male and attended an action movie is 105

There were 479 people who attended

P(male and attended an action movie) = male and attended an action movie

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

                                                                       attended

P(male and attended an action movie)=105/479

                                                               =.219206681

Rounded to two decimal places

                                                               =.22

Answer:

292

Step-by-step explanation:

The block is a rectangle with 80 yd length and 66 yd width. We need the perimeter of the block, which is the perimeter of the rectangle.

P = 2L + 2W

P = 2(80 yd) + 2(66 yd)

P = 160 yd + 132 yd

P = 292 yd

To calculate the distance of one lap around Danny's rectangular block (66 yards wide and 80 yards long), we find the perimeter, which is 292 yards.

The question asks about finding the distance Danny must run when doing a lap around his block, which is shaped as a rectangle. To find the distance around a rectangular path, we calculate the perimeter. The formula for the perimeter of a rectangle is 2 * (length + width). Given that the block is 66 yards wide and 80 yards long, the perimeter is 2 *(66 + 80) yards.

First, we add the length and width: 66 + 80 = 146 yards. Then, we multiply by 2: 2 * 146 = 292 yards. Therefore, one lap around Danny's block is 292 yards.

"The correct operation to perform is the subtraction of the two given polynomial terms:

[tex]\[ \frac{4}{7}x^2 - \frac{3}{2}x^3 \][/tex]

To subtract these terms, we simply combine them, keeping in mind that subtraction requires us to change the sign of the term being subtracted and then add the terms together. Since the terms are already in descending powers of \( x \), we do not need to rearrange them. The subtraction then yields:

[tex]\[ -\frac{3}{2}x^3 + \frac{4}{7}x^2 \][/tex]

This is the simplified expression after performing the indicated operation. There are no like terms to combine further, so this is the final answer.

The answer is: [tex]\[ -\frac{3}{2}x^3 + \frac{4}{7}x^2 \]"[/tex]

Here is your answer

B) [tex]\huge{10}^{-2}[/tex]

REASON:

0.01

=1/100

=1/

[tex] {10}^{2} [/tex]

=

[tex] {10}^{ - 2} [/tex]

HOPE IT IS USEFUL

Answer: 10 to the negative second power

Step-by-step explanation: To write 0.01 as a power of 10, first notice that 0.01 is a decimal which means that the exponent on our power of 10 will be negative.

To determine the value of the exponent, count the number of places we would need to move the decimal point in order to get 1.0.

In this problem, we would need to move the decimal point 2 places to get 1.0 which means that the exponent on our power of 10 will b -2.

Therefore, 0.01 can be written as 10 to the negative 2nd power.

Answer: 62 in²

Step-by-step explanation:

You must apply the formula for calculate the surface area of a rectangular prims, which is shown below:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, l is the lenght and h is the height.

Based on the information given in the problem, you know that:

[tex]l=5in\\w=3in\\h=2in[/tex]

Therefore, when you substitute these values into the formula, you obtain that the surface area of the rectangular prism is:

[tex]SA=2[(3in*2in)+(5in*3in)+(5in*2in)]\\SA=62in^2[/tex]

Answer:

0.5

Step-by-step explanation:

0.47058824

the 4 is in the tenths place

the 7 makes it turn to a 5

the answer would be 0.5 :)

Answer:

50 tiles

Step-by-step explanation:

The area of a square is the square of the side. The area of each tile is

a = (20 cm)^2 = 20 cm * 20 cm = 400 cm^2

Now we convert 2 square meters into square centimeters.

2 m^2 * (100 cm)/m * (100 cm)/m = 20,000 cm^2

2 m^2 = 20,000 cm^2

Now we divide the total area by the area of one tile.

(20,000 cm^2)/(400 cm^2) = 50

Answer: 50 tiles

Answer:

a) 20 ways

b) 10 ways

Step-by-step explanation:

When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.

Part a)

We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2

General formula of permutations of n objects taken r at time is:

[tex]nPr=\frac{n!}{(n-r)!}[/tex]

Using the value of n=5 and r=2, we get:

[tex]5P2=\frac{5!}{(5-2)!} =20[/tex]

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.

Part b)

Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.

The general formula of combinations of n objects taken r at a time is:

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Using the value of n=5 and r=2, we get:

[tex]5C2=\frac{5!}{2!(5-2)!} =10[/tex]

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.

Answer:

20

10

Step-by-step explanation:

just took the test

Answer:

g(x) is the image of f(x) after translated horizontally 2 units to the right

Step-by-step explanation:

∵ f(x) = √x

∵ g(x) = √(x - 2)

∴ The x-coordinate of f(x) becomes (x - 2)

∴ f(x) translated horizontally 2 units to the right

Answer:  $183.71

Step-by-step explanation:

Original amount is $5,175.00

1st year: Increase of 9%

→  $5175(1 + 0.09)

=   $5175(1.09)

=  $5640.75

                                       2nd year: Decrease of 5%  

                                       → $5640.75(1 - 0.05)

                                       =  $5640.75(0.95)

                                       = $5358.71

                                                                              Gain: 2nd year - Original  

                                                                               → $5358.71 - $5175.00

                                                                               = $183.71

Answer:

$183.7

Step-by-step explanation:

We know that $5,175.00 was invested in a stock plan.

It increased by 9% in the first year:

[tex] 9% \times 5175.00 = 465.75 [/tex]

So value reached to (5175 + 465.75 = ) $5640.75

Then it second year, it lost 5% of its value:

[tex] 95% \times 5640.75 = $5358.7 [/tex]

Therefore, the gain compared to the initial original investment will be:

$5358.7 - $5175.0 = $183.7

Answer:

first one is D

second is B

third is B

Step-by-step explanation: