use the functions f(x)= 3x-4 and g(x)= x^2-2 to answer the following questions

a) complete the table
x l f(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______



x l g(x)
______
-3 l
______
-1 l
______
0 l
______
2 l
______
5 l
______

b) for what value of the domain (-3, -1, 0, 2, 5) does f(x)= g(x)

answer:

Answer: 140 degree

Step-by-step explanation: The line LMU is basically 180, so what you'll do is 90 degree KLM plus 50 degree LMK which will give you 140 degree. A whole triangle is a supplementary angle so it's 180 degree. To find KMU, you do (180 - 140) - (180 - 40) = 140. So the answer for angle KMU is 140.

The answer is:

The speed of the wind is 150mph.

To calculate the speed of the wind, we need to write two equations using the given information about the speed when the airplane was traveling with the wind and against the wind, considering that it travel the same length of time.

So, writing the equations, we have:

Traveling with the wind:

We know that the speed of the airplane is 325 mph and it travels 1360 miles with the wind, so, for the equation, we have:

[tex]distance=(AirplaneSpeed+WindSpeed)*t[/tex]

[tex]1360miles=(325mph+WindSpeed)*t[/tex]

[tex]t=\frac{1360miles}{325mph+WindSpeed}[/tex]

Traveling against the wind:

We know that the speed of the airplane is 325 mph and it travels 1240 miles with the wind, so, for the equation, we have:

[tex]distance=(AirplaneSpeed-WindSpeed)*t[/tex]

[tex]1240miles=(325mph-WindSpeed)*t[/tex]

[tex]t=\frac{1240miles}{325mph-WindSpeed}[/tex]

Then, making making equal the time, we have:

[tex]\frac{1360miles}{325mph+WindSpeed}=\frac{1240miles}{325mph-WindSpeed}[/tex]

[tex]\frac{1360miles}{325mph+WindSpeed}=\frac{1240miles}{325mph-WindSpeed}\\\\(1360miles)*(325mph-WindSpeed)=(1240miles)*(325mph+WindSpeed)\\\\442000miles.mph-1360miles*WindSpeed=403000miles.mph+1240miles*WindSpeed\\\\442000miles.mph-403000miles.mph=1240miles*WindSpeed+1360miles*WindSpeed\\\\39000miles.mph=2600miles*Windspeed\\\\WindSpeed=\frac{39000miles.mph}{2600miles}=150mph[/tex]

Hence, we have that the speed of the wind is 150mph.

Have a nice day!

Answer:

the second step in solving a system of nonlinear equations by substitution is usually:

solve one equation for either variable of the given equation

Answer:

substituting a value in place of one of the variables to find the remaining variable.

Step-by-step explanation:

Answer:

11.4 mixture:26 and 2/3

7.8 mixture: 53 and 1/3

Step-by-step explanation: Sorry if this is hard to underestand. This is my first answer. This is a RSM question that has been checked.

11.4+7.8=9

 x+80-x=80

Multiply

11.4x+624-7.8x=720

3.6x=96

1.2=32

0.6x=16

6x=160

x=26 2/3

80-26 2/3= 53 1.3

Answer:

53 1/3 for $7.80, and 26 2/3 for $11.40

Step-by-step explanation:

x*11.4=11.4x

(80-x)*7.8=624-7.8

9*80=720

Those three steps are because he wants to make 80 pounds out of $9, $11.40 for a pound, and then a pound for $7.80. Since the total is 80 pounds, it could be 11.4 for x pounds and 7.8 for 80-x pounds. Then the equation is:

11.4x+624-7.8x=720

Simplify:

3.6x=96

Times both times by 10:

36x=960

x=26 2/3

80-x=53 1/3

Answer:

C

Step-by-step explanation:

The equation represents speed as a function of time. The point (3,120) implies that the car with a speed of 40 miles per hour, travelled a total of 120 miles in a time span of 3 hours.

In this scenario, the equation ys = 40x relates the speed of the car (40 miles per hour) to the time travelled (x in hours). The 'y' in the equation represents the distance travelled by the car. So, when interpreting the point (3,120) on the graph for this equation, '3' refers to time (hours) and '120' refers to distance travelled (miles).

Thus, the point (3,120) on the graph signifies that the car travelled 120 miles in 3 hours, so the correct answer is C. The car traveled 120 miles In 3 hours.

https://brainly.com/question/1638242

#SPJ3

Answer: 1/2, because its 0.583 and 1/2 is 0.5

Step-by-step explanation:

Answer:

Final answer is 1/2.

Step-by-step explanation:

Given numbers are 0, 1/2 and 1.

Now we need to find about which one of those three numbers is close to 7/12.

Since 7/12 has denominator 12 so let's convert each of the given number into their equivalent fractions with denominator 12.

0=0/12

1/2=6/12

1=12/12

Now we can easily compare them with 7/12 and find that 6/12 or 1/2 is closest.

Hence final answer is 1/2.

Combing like terms you have 0.25k - k = -0.75k

and 1.5 - 3.5 = -2.0

The answer would be -0.75k - 2.0

0.25k + 1.5 - k - 3.5

You must combine like terms. Like terms are the numbers with the same variable (letter) attached (in this case the numbers with the letter k are like terms)

(0.25k + (-k) )+ 1.5 - 3.5 <<<Remember that a variable with no number in front of it still has and invisible 1

(0.25k + (-1k) ) + 1.5 - 3.5

-0.75k + 1.5 - 3.5  

Numbers without any variable are also like terms

-0.75k + 1.5 - 3.5

-0.75k -2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y = 2x - 5

Step-by-step explanation:

The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.

Now we have y = 2x - k.

Then, we plug in the coordinates to our new equation to solve for k.

-1 = 2(2)-k

-1 = 4-k

k = 5

So the final equation would be y = 2x - 5

The table that best shows the impacts resulting from human activity is:

Impact of Human Activities

Human Activity Impact

Forest area cleared to construct an airport Increase in sound pollution

Vegetation cleared to construct a power plant Contamination of water

Hence the correct option is 2.

In the table illustrating the impacts resulting from human activities, the most fitting combination is the one stating that clearing forest areas to construct an airport leads to an increase in pollution, while the vegetation cleared for a power plant results in the contamination of water.

This pairing accurately reflects the environmental consequences associated with these specific human actions. When forests are cleared for airport construction, it often involves disrupting ecosystems, releasing pollutants, and contributing to air pollution.

On the other hand, clearing vegetation for a power plant can lead to water contamination, potentially through the release of pollutants into nearby water sources. This representation effectively highlights the diverse environmental impacts of human activities on both air and water quality, emphasizing the importance of responsible practices to mitigate these detrimental effects. Hence the correct option is 2.

Option 2 is correct. It directly links human activities to negative environmental consequences like sound pollution from airport construction and water contamination from power plant development.

Forest area cleared to construct an airport leading to an increase in sound pollution: This illustrates a direct impact of human activity on the environment. Clearing forests for infrastructure development like airports often leads to increased noise pollution due to aircraft operations and associated activities.

Vegetation cleared to construct a power plant leading to contamination of water: Again, this demonstrates a direct consequence of human activity. The clearance of vegetation for industrial purposes such as power plants can result in soil erosion and runoff, which may contaminate nearby water sources with sediments, chemicals, or pollutants.

Both of these impacts highlight tangible and negative consequences of human activities on the environment, emphasizing the importance of considering the environmental impacts of development and infrastructure projects. Therefore, option 2 effectively portrays the impacts resulting from human activities.

Complete Question:

Which table best shows the impacts resulting from human activity?

1) Impact of Human Activities:

Human Activity ; Impact

Forest area cleared to construct an airport  ; Increase in oxygen level

Vegetation cleared to construct an oil mine  ;  Increase in pollution

2) Impact of Human Activities:

Human Activity  ;    Impact

Forest area cleared to construct an airport  ;  Increase in sound pollution

Vegetation cleared to construct a power plant  ;  Contamination of water

3) Impact of Human Activities:

Human Activity  ;  Impact

Beehives cleared from urban areas  ;  Increase in vegetation

Dams constructed on a river    ;    Increase in fish population

4) Impact of Human Activities

Human Activity   ;  Impact

Beehives cleared from urban areas   ;  Increase in bird population

Dams constructed on a river    ;   Better quality of water

Answer:

I dont know the answer

Step-by-step explanation:

But you can find the answer by figuring out what a domain and a range iss and chose which one is a domain and a range you can find what a domain and a range is on google

-The domain has all possible values of S so is the amount of sugar transported.

-The range has all possible values of C so is the cost to transport sugar

Answer:

There are 26 different possible outcomes. the probability of the computer choosing the first letter of your name is 1 out of 26.

Answer:

B

Step-by-step explanation:

Given

[tex]\left[\begin{array}{ccc}-2&3&0\\-4&2&6\\6&-5&6\end{array}\right][/tex]

The product of 3x2 will be six.. We have a scalar which has to be multiplied by the matrix. The method of multiplying a scalar with a matrix is to multiply each element of the matrix by the scalar.  

After multiplication the matrix will be:

[tex]\left[\begin{array}{ccc}-12&18&0\\-24&12&36\\36&-30&36\end{array}\right][/tex]

So, B is the correct answer..

To solve this question, you need to perform a scalar multiplication of the matrix by 3*2. Scalar multiplication involves multiplying every element of the matrix by the scalar value.
First, let's find the scalar value:
3 * 2 = 6
Now, let's multiply every element in the matrix by the scalar value 6:
Original matrix:
[ -2,  3,  0 ]
[ -4,  2,  6 ]
[  6, -5,  6 ]
After scalar multiplication by 6:
[ -2*6,  3*6,  0*6 ]
[ -4*6,  2*6,  6*6 ]
[  6*6, -5*6,  6*6 ]
Performing the multiplication for each element gives us:
[ -12,  18,   0 ]
[ -24,  12,  36 ]
[  36, -30,  36 ]
The resulting matrix after multiplying by the scalar value of 6 is:
[ -12,  18,   0 ]
[ -24,  12,  36 ]
[  36, -30,  36 ]
So the correct answer to the given matrix question is the matrix displayed above.

the answer to this question is 110°

ANSWER

A. <AKC and <TKI

D. <IKR and <AKP

EXPLANATION

Vertical angles are also called X-angles.

They are angles in the opposite corners of a figure that looks like X.

From the diagram, the options that are vertical angles are:

A. <AKC and <TKI

D. <IKR and <AKP

The correct answers are A and D.

Answer:

A and D.

Step-by-step explanation:

A pair of angles are vertical if both measure the same and both are opposite by a vertex. Then, in the figure we have that

∠AKC and ∠TKI are vertical angles

∠AKP and ∠PKI are not vertical angles (∠PKI measures more than ∠AKP and these angles are not opposite by a vertex).

∠AKT and ∠PKC are not vertical angles (same reason as the second option).

∠IKR and ∠AKP are vertical angles.

Answer:

x = 0.417 or x = -0.917

Step-by-step explanation:

We are given the following expression and we are to solve it for the variable x:

[tex] x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 } [/tex]

We will find the least common multiple of 2. 6 and 9:

[tex]x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144[/tex]

Simplifying it to get:

[tex]144x^2+72x+9=64[/tex]

[tex]144x^2+72x+9-64=0[/tex]

[tex]144x^2+72x-55=0[/tex]

Using the quadratic formula to solve for x:

[tex]x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}[/tex]

[tex]x=\frac{5}{12}[/tex] or [tex]0.417[/tex]

[tex]x=-\frac{11}{12}[/tex] or [tex]-0.917[/tex]

Answer:

Final answer is [tex]W=\frac{CL}{100}[/tex].

Step-by-step explanation:

Given equation is [tex]C=\frac{100W}{L}[/tex].

Now we need to solve the given equation [tex]C=\frac{100W}{L}[/tex] for indicated variable W.

That means we need to isolate W. In other words move 100 and L to the right side of the equation.

[tex]C=\frac{100W}{L}[/tex]

[tex]CL=100W[/tex]

[tex]\frac{CL}{100}=W[/tex]

[tex]W=\frac{CL}{100}[/tex]

Hence final answer is [tex]W=\frac{CL}{100}[/tex].

Answer:

Step-by-step explanation: 4+3 =7 126/7= 18 (Ethan is 4*18) and (Aiden is 3*18) because 72+54=126 so aiden gets 54

Adíen gets 54 dollars hope this helps

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. ... Divide the sum of the absolute values of the differences by the number of data values.

Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.

The key to solve this problem is using ratios and proportions.

Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So:  The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.

Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means.  In every proportion the product of the extremes is equal to the product of the means: a.d = b.c

A student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice.

The ratio of 4 oranges to 6 fluid ounces of juice is 4/6.

The ratio of x oranges to 24 fluid ounces of juice is x/24

Writing the proportion

4/6 = x/24

Clear x to obtain the oranges needed

x = (4)(24)/6 = 96/6 = 16

Then, the proportion is:

[tex]\frac{4}{6} = \frac{16}{24}[/tex]

The error in the student's work was that they reversed the reason, 24/16 instead of 16/24.

The student's error is in setting up the proportion and not cross multiplying correctly. The correct proportion is 4/6 = x/24. By cross multiplying and solving for x, we find that 16 oranges are needed to make 24 fluid ounces of juice.

The error in the student's work is in setting up the proportion. The correct proportion should be:

4/6 = x/24

To find the number of oranges needed to make 24 fluid ounces of juice, we can cross multiply and solve for x.

Cross Multiplying: 4 * 24 = 6 * x

Simplifying the equation: 96 = 6x

Dividing both sides by 6, we find x = 16.

Therefore, the correct answer is that 16 oranges are needed to make 24 fluid ounces of juice.

https://brainly.com/question/31204010

#SPJ3

Answer:

Subtract 360° to find a negative coterminal angle. Angles that measure 240° and –480° are coterminal with a –120° angle. For an angle θ in standard position, the reference angle is the positive acute angle formed by the terminal side of θ and the x-axis.

Step-by-step explanation:

Answer:

C.  d × 15 = 100

Step-by-step explanation:

The distance d in meters that Martin covers per second is 100 m/15 sec.

We write this as: d= 100/15. It is the same as:

d × 15 = 100

Thus, the correct answer would be C.

Answer:

The answer is C for sure . Hope everyone has a good day .

Step-by-step explanation:

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

[tex] - \frac{10}{19} \div ( - \frac{5}{7} )[/tex]

We multiply by the reciprocal of the second fraction:

[tex]- \frac{10}{19} \times ( - \frac{7}{5} )[/tex]

We cancel out the common factors to obtain:

[tex]- \frac{2}{19} \times ( - \frac{7}{1} )[/tex]

We multiply to get

[tex]\frac{ - 2 \times - 7}{19 \times 1} [/tex]

This simplifies to :

[tex] \frac{14}{19} [/tex]

The correct answer is C

The answer is:

Option C.

[tex]\frac{14}{19}[/tex]

To perform fraction division, we need to follow the convert the expression and multiply the first fraction (numerator) by the inverse of the second fraction (denominator).

For example:

[tex]\frac{\frac{a}{b} }{\frac{c}{d} }=\frac{a}{b}*\frac{d}{c}[/tex]

So, we are given the following expression:

[tex]-\frac{10}{19}\div (-\frac{5}{7})[/tex]

Which is equal to:

[tex]\frac{-10}{19}\div (\frac{-5}{7})[/tex]

Then, calculating we have:

[tex]\frac{-10}{19}\div (\frac{-5}{7})=\frac{10}{19}*\frac{7}{5}\\\\\frac{10}{19}*\frac{7}{5}=\frac{10*7}{19*5}=\frac{70}{95}\\\\\frac{70}{95}=\frac{5*14}{5*19}=\frac{14}{19}[/tex]

Hence, we have that the correct option is:

Option C.

[tex]\frac{14}{19}[/tex]

Have a nice day!

Answer:

the equation of circle is x²  + y² + 6x - 24y + 128 = 0

Step-by-step explanation:

To find the general form of the equation of the circle with center A (-3, 12) and radius r=5,  we simply use this formula;

General Equation of a circle is   (x - a)²  +  (y-b)² = r²

(a,b) are the two point at the center of the circle which are (-3, 12)

which implies a = -3 and b = 12

r is the radius of the circle which is given as 5 from the above diagram

to get r², we simply square 5 and so r²  = 25

We can now plug in the values of our variables into the equation

(x - a)²  +  (y-b)² = r²

(x - [-3])²   +   ( y  -  12)²  =   5²

(x +3)²   +   ( y  -  12)²  =   5²

we will expand all the brackets

x² +  6x +  9  + y² -24y + 144 = 25

x² +6x + y² -24y + 153 = 25

Take 25 to the left hand side of the equation

x² +6x + y² -24y + 153  -  25 = 0

x² +6x + y² -24y + 128 = 0

Rearranging the equation to give us a standard form of the equation of the circle, we have;

x² + y² + 6x - 24y  + 128 =0

{Note:  (x + 3)²  =  (x+3)(x+3) = x² + 6x + 9 and  

(y - 12)²  = (y -12)(y-12) = y² - 24y + 144}

Therefore the general form of the equation  of a circle with center(-3, 12) and radius 5 is x² + y² + 6x - 24y  + 128 =0

Answer:

If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).

Step-by-step explanation:

Where are the answer choices?  Please share them.

If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).

If (x+k) is a factor of f(x), then f(-k) = 0

from the question, we have the following parameters that can be used in our computation:

(x + k) is a factor of f(x)

If (x+k) is a factor of f(x), then f(-k) = 0. This is known as the factor theorem.

It states that if a polynomial f(x) has a factor of (x-a), then f(a) = 0.

In this case, since (x+k) is a factor of f(x), we can substitute -k for x in the factor theorem to get f(-k) = 0.

Read more about remainder theorem at

https://brainly.com/question/27749132

#SPJ3

Answer: 1110 grams

Step-by-step explanation: see the paper attached. (:

3.82 E+7  is just an engineering format, another way to write it will  be 3.82 x 10⁷ in scientific format, or just 3.82 x 10000000   <--- notice, seven zeros.

and the product of the above is just 38200000, or standard form.

Answer:

The correct answer option is [tex] \frac { 4 } { 4 9 } [/tex].

Step-by-step explanation:

We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).

Total number of days in a week = [tex] 7 [/tex]

Number of days in weekend = [tex] 2 [/tex]

Probability of being born on weekend = [tex] \frac { 2 } { 7 } [/tex]

P (both parents were born on weekend) = [tex]\frac{2}{7} \times \frac{2}{7}[/tex] = 4/49

Answer:

Step-by-step explanation:

Vertex of y = |x| have the coordinates (0, 0).

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

nf(x) - stretches/shrinks vertically

f(nx) - stretches/shrinks horizontally

We have

f(x) = |8x + 8| - 3 = |8(x + 1)| - 3 = |8| · |x+1| - 3 = 8|x + 1| - 3

g(x) = |x| → f(x) = 8g(x + 1) - 3

vertically streched by 8      (0, 8 · 0) → (0, 0)

shifted 1 unit to the left    (0 - 1, 0) → (-1, 0)

shifted 3 units down       (-1, 0 - 3) → (-1, -3)

No because 9:6 is 1.5 and 4:3 is 1.333...

Answer:

Step-by-step explanation:

[tex]9:6=\dfrac{9}{6}=\dfrac{9:3}{6:3}=\dfrac{3}{2}\neq\dfrac{4}{3}=4:3\\\\\text{Other method:}\\\\9:6=\dfrac{9}{6}\\\\4:3=\dfrac{4}{3}\\\\\dfrac{9}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\(9)(3)=(6)(4)\\\\27=24\qquad\bold{FALSE}[/tex]

Answer:

Bianca can make 28 pans of brownies in 7 hours

Step-by-step explanation:

As we know, 1 hour = 60 minutes

so, 1/2 hour = 30 minutes

Bianca takes 1/2 hour to make pans of brownies = 2 pans

Bianca takes 1 hour to make pans of  brownies = 2 / (1/2) pans

Bianca takes 7 hour to make pans of  brownies = 4 * 7 pans

                                                                                = 28 pans

So, Bianca can make 28 pans of brownies in 7 hours.