Let / f(x)= -5x + 3 and g(x) = 6x - 2. Find f*g and its domain.

Answer:

Let's find out!

Step-by-step explanation:

**There is 128 fl oz in a gallon**

To solve, we will try and find the unit rate of 1 fl oz of both the cost of the water and the cost of the gasoline. A unit rate is when the denominator of a fraction is 1, showing how much of something equals 1 of the denominator. For example, if the cost was $1 for 1 fl oz, the cost of a gallon of gasoline would be $128.

[tex]\frac{cost(dollars)}{fl|oz}[/tex]

[tex]\frac{1.50}{16}[/tex] ÷ [tex]\frac{16}{16} = \frac{0.09375}{1} = \frac{0.09}{1}[/tex]

[tex]\frac{3.50}{16}[/tex] ÷ [tex]\frac{128}{128} = \frac{0.02734375}{1} = \frac{0.03}{1}[/tex]

For every 1 fl oz of water, it will cost $0.09

For every 1 fl oz of gasoline, it will cost $0.03

Which costs more?

I hope this helps!

- sincerelynini

Final answer:

Line a and line b, being parallel, have the same slope which is the defining feature of parallel lines.

Explanation:

When two lines, line a and line b, are parallel, they will never intersect and will have the same slope. Therefore, if line a is parallel to line b, the statement 'Line a and line b have the same slope' is true.

In the context of the slope of lines, the sum of the slopes of line a and line b would not be 0 unless both slopes are zero, which is typically not the case for non-horizontal lines. The product of the slopes would not be 1 or -1 either, unless one of the lines is perpendicular to the other, which would imply that the lines are not parallel. Therefore, the characteristic feature of parallel lines is that their slopes are identical.

Answer:

No, primes cannot be divided by anything else then the number itself and one. Therefor you cannot divide it by any other prime.

Final answer:

A fraction with a numerator and denominator that are both prime numbers and different from each other cannot be simplified because there are no common factors to remove, as prime numbers only have 1 and themselves as factors.

Explanation:

If the numerator and denominator of a fraction are both prime numbers and are not equal to each other, the fraction cannot be simplified further. This is because prime numbers have only two factors: 1 and themselves. To simplify a fraction, you would prime factorize both the numerator and the denominator and then remove any common factors found in both.

However, since prime numbers have no other factors besides 1 and the number itself, and the two primes in our fraction are not equal, there are no common factors to remove. For example, in the fraction ⅓, both 3 and 5 are prime and there is no number other than 1 that can divide both. Hence, ⅓ is already in its simplest form.

Answer:

64! For those of you that really need help!

Step-by-step explanation:

Answer:64

Step-by-step explanation:64

There are [tex]\frac{5}{12}[/tex] of these components together

Solution:

As a science experiment Mo and Jo want to send their rocket into space

They need 1/4 cup of water and 1/6 cup of a secret component

From given question,

[tex]\text{Cup of water} = \frac{1}{4}\\\\\text{Cup of secret component } = \frac{1}{6}[/tex]

How much is there of these two components together?

So we need to add these together

[tex]\text{Cup of water}+ \text{Cup of secret component } = \frac{1}{4} + \frac{1}{6}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{1 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4}\\\\\text{Cup of water}+ \text{Cup of secret component } =\frac{6}{24} + \frac{4}{24}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{6+4}{24} = \frac{10}{24} = \frac{5}{12}[/tex]

Thus there are [tex]\frac{5}{12}[/tex] of these components together

Answer:

[tex]x=3.1950[/tex]

Step-by-step explanation:

Given:

The equation to solve is given as:

[tex]\log_8 12=x-2[/tex]

In order to solve this, we use the base change formula of logarithms.

The base change formula is given as:

[tex]\log_a b=\frac{\log b}{\log a}[/tex]

Therefore, the equation can be rewritten as:

[tex]\frac{\log 12}{\log 8}=x-2[/tex]

Adding 2 on both the sides, we get:

[tex]x=2+\frac{\log 12}{\log 8}[/tex]

Now, we know that, [tex]\log 12=1.07918\ and\ \log 8=0.9031[/tex]

Plug in these values and solve for 'x'. This gives,

[tex]x=2+\frac{1.07918}{0.9031}\\\\x=2+1.19497=3.19497\approx3.1950[/tex]

Therefore, the value of 'x' is 3.1950 rounded to four decimal places.

Answer:x=3.1950 on ed yw

Step-by-step explanation:

Answer:

Step-by-step explanation:

-(-(-65))

a neg times a neg times a neg = negative

ur answer is -65

Answer:

- 65

Step-by-step explanation:

–(–(–65))?

Note: - × - = +

- × + = -

So, +(-65) = -65

Answer:

X= 2, -8

Step-by-step explanation:

Hope this helps ;)

Answer:

-8, 2

Step-by-step explanation:

Answer:

Jiao's total swimming time is 59.73 seconds

Step-by-step explanation:

i) Ava took 31.49 seconds to finish her first lap.

ii) Ava took 30.03 seconds to finish her second lap.

iii) Therefore Ava took 31.49 + 30.03 = 61.49 seconds to complete her two laps.

iv) Jiao finished her two-lap swimming race 1.76 seconds before Ava.

v) Jiao's total swimming time = 61.49 - 1.76 = 59.73 seconds

Answer:

ax = 20 - 5

ax = 15

Hope it helpss!!

Answer:

Nearest whole is 4

Step-by-step explanation:

The answer is 4

The complete set of natural numbers along with '0' are called whole numbers. The examples are: 0, 11, 25, 36, 999, 1200, etc.

Given here: The decimal number 4.356

Thus rounding to nearest whole number we get 4

Hence, The answer is 4

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To rewrite the equation 4^5 = 1024 as a logarithmic equation, we use the definition of a logarithm to get log4(1024) = 5, which indicates that 4 raised to the power of 5 equals 1024.

To rewrite the exponential equation 4^5 = 1024 as a logarithmic equation, we need to apply the definition of a logarithm which states that if b^y = x, then logb(x) = y. In this case, our base (b) is 4, the exponent (y) is 5, and the result (x) is 1024. Therefore, the equivalent logarithmic equation is log4(1024) = 5.

Remember that a logarithm essentially answers the question: To what exponent must the base be raised to produce a given number? Here, we are saying that 4 must be raised to the power of 5 to get 1024. This transformation from an exponential to a logarithmic form is a fundamental concept in mathematics, particularly when dealing with logarithmic scales and operations.

Answer:

The slope of g(x) is: [tex]m=0[/tex]

The slope of f(x) is: [tex]m-1[/tex]

Step-by-step explanation:

For this exercise you need to know that:

1. By definition the slope of any horizontal line is zero ([tex]m=0[/tex])

2. The slope of a line can be calculated using the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line.  Then, based on the explanation given before, you can conclude that its slope is:

[tex]m=0[/tex]

To find the slope of the function f(x) shown in the table attached, you need to follow these steps:

- Choose two points  from the table:

[tex](0,3)[/tex] and [tex](4,-1)[/tex]

- You can say that:

[tex]y_2=-1\\y_1=3\\\\x_2=4\\x_1=0[/tex]

- Substitute values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]:

[tex]m=\frac{-1-3}{4-0}[/tex]

- Finally, evaluating, you get:

[tex]m=\frac{-4}{4}\\\\m=-1[/tex]

Answer:

The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

Step-by-step explanation:

See the graph attached.

It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.

Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.

So, the dragonfly will travel 528 miles. (Answer)

Answer:

The answer is C. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

I did the test, oh yeah and good luck on the test!!!!!!

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

[tex]\cos A=\dfrac{b}{h}[/tex]

Where, h is the hypotaneous = x

⇒ [tex]\cos 28=\dfrac{11}{x}[/tex]

⇒ [tex]x=\dfrac{11}{\cos 28}[/tex]

The value of [tex]\cos 28[/tex] = 0.8829

⇒ x = [tex]\dfrac{11}{0.8829}[/tex]

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.

Answer:

The slope is 4, and the y-intercept is Negative five-halves

Step-by-step explanation:

we have

[tex]8x-2y=5[/tex]

This is the equation of the line in standard form

Convert the equation in slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

Isolate the variable y

Subtract 8x both sides

[tex]-2y=-8x+5[/tex]

Divide by -2 both sides

[tex]y=4x-\frac{5}{2}[/tex]

therefore

[tex]m=4\\b=-\frac{5}{2}[/tex]

The slope is 4, and the y-intercept is Negative five-halves

Given that,

Based on the above information, the calculation is as follows:

8x - 2y = 5

We know that y = mx + b

Here  

m is the slope

b is the y-intercept

Isolate the variable y

So,

-2y = -8x + 5

Now divide 2 by both sides

[tex]y = 4x - \frac{5}{2}[/tex]

So,

m = 4

And b [tex]= \frac{-5}{2}[/tex]

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Answer:

A

Step-by-step explanation:

You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.

Answer:

Nein, du schlauer Penner

Step-by-step explanation:

Answer:

83 yards

Step-by-step explanation:

We are given;

We are required to determine the length;

That is;

P = 2 (L + W)

P = 2L + 2W

Rearranging the formula;

2L = P - 2W

Therefore;

2L = 294 yards - 2 (64 yards)

     = 294 - 128

     = 166

L = 166 ÷ 2

  = 83 yards

Thus, the length of the rectangle is 83 yards.

Final answer:

To calculate the number of absent students at Medin Middle School, multiply the total number of students, 625, by 8%, which results in 50 absent students.

Explanation:

The question is asking to calculate the number of students who were absent from Medin Middle School on a given Tuesday when 8% of the student body did not attend. To find out how many students were absent, multiply the total number of students, 625, by the percentage of absentees, which is 8%.

The calculation is as follows:

Absent students = Total students × Percentage of absence
Absent students = 625 × 0.08
Absent students = 50

Therefore, there were 50 students absent from Medin Middle School on Tuesday.

Answer:

Step-by-step explanation:

Answer:

Nathan use scale of 5 inches : 2 feet.

Step-by-step explanation:

Given:

Nathan drew a scale drawing of a hotel.

A room in the hotel is 55 inches long in the drawing.

The actual room is 22 feet long.

Now, to find the scale Nathan use.

The scale drawing of room = 55 inches.

The actual room = 22 feet.

Now, to get the scale Nathan use we set the ratio:

The scale drawing of room : The actual room.

= [tex]55\ inches:22\ feet[/tex]

[tex]=\frac{55}{22}[/tex]

[tex]=\frac{5}{2}[/tex]

[tex]=5\ inches:2\ feet.[/tex]

Therefore, Nathan use scale of 5 inches : 2 feet.

The scale factor Nathan used is 2/5.

To find the scale factor, we can set up a proportion using the length in the drawing and the actual length. Let x represent the scale factor. The proportion can be set up as follows:

55 inches / 1 = 22 feet / x

Cross multiplying, we get:

55 * x = 1 * 22

Simplifying, we have:

x = 22 / 55 = 2 / 5

Therefore, the scale factor Nathan used is 2/5.

Answer:

A compound is two or more types of atoms chemically joined together.

i hope this helps

have a nice day

please mark brainliest

The statement describes a compound: "two or more types of atoms chemically bonded together". The correct answer would be an option (C).

Compounds are pure molecules made up of two or more separate elements' atoms. Compounds can be disassembled into their constituent parts. These compounds are composed of a set number of atoms. Carbon monoxide CO is an example of a chemical compound.

A compound is a substance made up of two or more different types of atoms that are chemically bonded together.

So, two or more types of atoms chemically bonded together describe a "compound".

Hence, the correct answer would be an option (C).

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Answer:

-64

Step-by-step explanation:

-32^(6/5) =-(  [tex]}\sqrt[5]{32}[/tex])^6

               = -(2)^6

               = -64

The Simplification of the given expression is -64.

Simplification is the procedure to utilize and analyze the function or expression to make the function or expression uncomplicated.

The given expression is:

[tex]-32^{6/5} =[/tex]

To simplify this expression, we have to combine like terms.

Combining the like terms  we get:

[tex]-32^{6/5} =[/tex] ( [tex]-( \sqrt[5]{32} )^6[/tex] )^6

              = [tex]-(2)^6[/tex]

              = -64

Therefore, the value of the given expression is -64.

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if you multiply it 4 times it will equal one whole

Step-by-step explanation:

not sure if that's what ya wanted but yeah

Answer: 18.241

Step-by-step explanation:you have to take 17 times .073. Which is 1.241. Then add that to 17

Final answer:

To calculate a 7.3% increase on 17, multiply 17 by 0.073 to find the increase amount of 1.241 and add it to the original number, leading to a final result of 18.241.

Explanation:

To find the result when the number 17 is increased by 7.3%, we need to calculate the percentage increase and add it to the original number. The calculation is as follows:

Performing the calculation:

Therefore, when the number 17 is increased by 7.3%, the result is 18.241.

Answer:

y=2x + 3

Step-by-step explanation:

I checked I'm positive this is right lol

Area of Square = 3² = 9 in²

Area of Rectangle = 3x10 = 30 in²

Area of Circle = 3.14(4.5)² = 63.585 in²

Add them all up and you get... 102.585.

answer: second choice

Answer: 0.1359

Step-by-step explanation:

mean = $400

Standard deviation = $50

Since the wages is normally distributed , the first thing is to find the z - score.

z = [tex]\frac{x-mean}{standard deviation}[/tex]

finding the z - value for 300 and 350 , we have

z = [tex]\frac{300-400}{50}[/tex]

z = [tex]\frac{-100}{50}[/tex]

2 = -2

also

z = [tex]\frac{350-400}{50}[/tex]

z = [tex]\frac{-50}{50}[/tex]

z = -1

The next thing is to check the calculated value on z - table.

From z - table :

P (z[tex]\leq[/tex] -2 ) = 0.0228

P ( z [tex]\leq -1[/tex] ) = 0.1587

combining the two

P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1587 - 0.0228

P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1359

Therefore , the the probability that a worker

selected at random makes between

$300 and $350 = 0.1359

Answer:13.5

Step-by-step explanation:

Answer:

The original price of the skirt is $24

Step-by-step explanation:

The complete question is

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Let

x ----> the original price of the blouse

y ---> the original price of the skirt

we know that

Three fourth of the sum of the original price of the blouse and the original price of the skirt, must be equal to the total paid for the two items

so

The linear equation that represent this situation is

[tex]\frac{3}{4}(x+y)=31.50[/tex]

we have

[tex]x=18[/tex] ----> given problem

substitute the value of x in the expression above and solve for y

[tex]\frac{3}{4}(18+y)=31.50\\[/tex]

Multiply by 4 both sides

[tex]3(18+y)=4(31.50)\\54+3y=126\\3y=126-54\\3y=72\\y=24[/tex]

therefore

The original price of the skirt is $24