Two functions are defined by the equations f(x)=5−0.2x and g(x)=0.2(x+5). all statements that are true about the functions.

Answers

Answer 1

Answer:

The true statements are -: A f(3)>0 , C g(-1)=0.8 and D g(-1)< f(-1)

Step-by-step explanation:

  Given f(x)= 5- 0.2x and g(x)= 0.2(x+5)

(A)  f(3) > 0

    Putting this value in the given equation -

     f(3) =5 -0.2(3)

      f(3)=5 - 0.6

  f(3) =4.4

Therefore , f(3) > 0  . This is a true statement .

(B)  f(3) > 5

     We got the value of f(3) from the above equation,

     Therefore , f(3) = 4.4 , hence f(3) > 5 option is False.

(C)  g(-1) = 0.8

  Taking the second given equation ,

  g(-1) = 0.2 ( -1+ 5)

  g(-1) = 0.2 (-4)

Therefore,  g(-1) = -0.8 . Hence , this statement is true.

(D) g(-1) < f(-1)

  g(-1) = -0.8

f(-1) =5 - 0.2(-1)

f(-1) = 5 +0.2

f(-1) = 5.2

Therefore , g(-1) < f(-1) , Hence this option is true.

(E) f(0) =g(0)

  f(0) = 5 + 0.2(0)

  f(0) = 5

g(0) = 0.2(0+5)

g(0) =  0.2 +5

g(0) = 1

Therefore , f(0)[tex]\neq[/tex] g(0) , Hence , the option is false .

Hence , true statements about the functions are - A , C , D .  

     


Related Questions

which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair?

Answers

A line is one dimensional straight indefinite path on plane that has no width. A plane is a two-dimensional flat surface that extends upto infinity. So, the undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) is A point.

50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.

How many pairs of rational numbers have a geometric mean of 4?

please help and don't say something random just for the points :)​

Answers

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

What type of correlation the
scatter plot shows?

Answers

Answer:

I would need to see the attached lesson to answer this question.

Find the measure of C to the nearest tenth of a degree

Answers

81.2 mostly likely will me the answer

Plz help will mark brainliest if right

Answers

Answer:

Domain:{-9,-4}

Range:{-1,-8,6}

Step-by-step explanation:

I dont really understand what you're trying to ask, it seems like you already have the answer i got.

Solve the equation.
[tex] {3}^{4(m + 1)} + {3}^{4m} - 246 = 0 \\ [/tex]

Answers

[tex]3^{4m+4}+3^{4m}=246\\ (3^{4}+1)*3^{4m}=246\\82*3^{4m}=246\\3^{4m}=3\\m=\frac{1}{4}[/tex]

You group them since they have the same base (3). (3^4+1)*3^4m since they have almost the similar characters (ex. 3^4(m+1) is 3^4m+4). In the brackets we get (81+1) since 3^4 is 81, then we do the sum in the brackets (81+1) is 82 multiplied by 3^4m. Then we divide both sides with /82. 82/82 is one, 256/82 is 3. Since 3^4m and 3^1 have the same bases we just use 4m=1 where we get that m is 1/4.

Pls help me I need some help.

Answers

Answer:

scale factor is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5:15. 8:24. 9:27. they are all a ratio of 3

Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?

Answers

Answer:

1.41 kilograms

Step-by-step explanation:

Given data

290-gram bag of gummy worms

450-gram bag of sour keys

670-gram bag of chocolate-covered almonds

In all, she bought

=290+450+670

=1410grams of candy

Now let us convert from grams to kilograms

1000grams is equal to 1 kilogram

hence 1410 grams  will be x

cross multiply

1000x= 1410

x= 1410/1000

x= 1.41 kilograms

what is the value of 8 3/5 + (-4 2/5) - 11 1/5​

Answers

Answer:

Its right infront of you.....

1/5

Step-by-step explanation:

What do you know about a triangle with an adjacent leg to hypotenuse ratio value of 0.839?

Answers

Step-by-step explanation:

Use soh cah toa to solve

it is cos(α)=.839

so the angle of α is 32.9653

Hope that helps :)

Trigonometric identity is cosine. And a is 32.965327740597°.

What are the trigonometric identities?

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

Given:

A triangle with an adjacent leg to hypotenuse ratio value of 0.839.

Assume the triangle is a right-angled triangle.

In the right-angled triangle,

the ratio of adjacent leg to hypotenuse is cosine.

So,

Cos(a) = Adjacent leg/Hypotenuse

Cos(a) = 0.839

a = Cos⁻¹(0.839)

a = 32.965327740597°

Therefore, angle measure of a is 32.965327740597°.

To learn more about the trigonometric identities;

https://brainly.com/question/24377281

#SPJ2

someone help, what’s 1+1?

Answers

It's 2 sir/ Maam Your Welcome

Help me with this please

Answers

Answer:

x = 138

Step-by-step explanation:

Exterior angle thm:

68 + 70 = x

x = 138

A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?

Answers

Answer: This is what I have tried --

5 gallons : 3 weeks = x gallons : 52 weeks

5/3 = x/52 (cross multiply)

3x = 260 (divide by 3)

x = 86.6 or 87 gallons

Step-by-step explanation: hope this is right

Answer:

10 gallons of milk

Step-by-step explanation:

This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.

Please help me it’s due today

Answers

The answer should be 15 times 9 equals four

HELPPPPPPPP
What is the value of x in the triangle?

Answers

Answer:

82

Step-by-step explanation:

it's very easy the answer is 82

Answer:

65°+75°+x°=180°(sum of an angle of triangle is 180°

or, 140°+x°=180°

or, x°=180°-140°

therefore,x°=40°

A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all

Answers

Answer:

5670 yards

Step-by-step explanation:

Length of first race = 2 miles

Since, 1 mile = 1760 yards

Therefore, 2 miles = 1760 × 2

                               = 3520 yards

Length of second race = 1300 yards

Length of third race = 850 yards

Total distance to be run by the horse = 3520 + 1300 + 850

                                                              = 5670 yards

Someone help me with this its in the picture!!!

Answers

Answer:

JK < KI < IJ

Step-by-step explanation:

The length of the side of a rectangle corresponds with the size of the angle opposite it.

m<K = 180 - (50 + 44) (sum of triangle)

m<K = 86°

IJ is opposite m<K = 86°

JK is opposite to m<1 = 44°

KI is opposite to m<J = 50°

The bigger the measure of an angle, the larger the side opposite it.

Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:

JK < KI < IJ

What ordered pair represents the y-intercept for the function y=2^x

Answers

Answer:

(0, 1)

Step-by-step explanation:

[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]

help me please it's due tonight

Answers

Answer:

π

Step-by-step explanation:

S = rФ

Arc length = radius x theta

S = (3)([tex]\frac{\pi }{3}[/tex]) = [tex]\pi[/tex]

how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

can someone please help me with this question?? (no links!!!)

Answers

Answer:

960

Step-by-step explanation:

it says use 3 for pi, so you plug the values into given equation

V = 3·(4)²·20

r is 4 because it is half of 8.

Then multiply

3·16·20 = 48·20 = 960

Answer:

960 cm

Step-by-step explanation:

8/2 = 4 (radius)

3 (since we're using 3 for pi) * 4^2 * 20

3 * 16 * 20

48 * 20

= 960 cm

I hope this helps heh :)

how do i get all my points and brainlest back

Answers

.....um...i think u can't do this

Answer:

u should probably contact support or the creator of this site

Step-by-step explanation:

Helpppppp! No links please, thank you!

Answers

32, 60, 68

Hope this helps

What is the surface area of the rectangular prism below
7 7 14

A.496 B.490 C.980 D.248

Answers

Answer:

B.490

Step-by-step explanation:

Correct me if im wrong

Answer: 490

Step-by-step explanation:

Computer world has all computer has all computers on sale for 20% off. If the regular price of a laptop is $750, what is the sale price?

Answers

Answer:

Selling price of the laptop is $600.

Step-by-step explanation:

Let the sale price of the laptop = $x

Regular price of the laptop = $750

Discount on each computer = 20%

Selling price of the laptop 'x' = 750 - (20% of 750)

                                                = 750 - [tex](\frac{20}{100}\times 750)[/tex]

                                                = 750 - 150

                                                = $600

Therefore, selling price of the laptop is $600.

THIS WILL HELP A LOT OF PPL PLZ HLP!!!!!!
Determine the interval where the graph of the function is negative.

ANSWER CHOICES AND GRAPH IN IMAGES

Answers

Answer:

If I'm correct I think its answer B

Step-by-step explanation:

I'm not sure but i hope this help

Answer:

second option

-∞ < x < 1

Step-by-step explanation:

Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.

Answers

What is his average amount of money that he earns per day so then we can solve this problem.

What is the median of the data set? {5, 3, 4, 2, 6} Enter your answer in the box. Round to the nearest tenth.

The best answer will receive brainiest.

Answers

Answer:

4

Step-by-step explanation:

To find median, arrange the data set in ascending order. Then the middle term is the median

2 , 3 , 4 , 5 , 6

Median = 3rd term  = 4

Answer:

4 is the median

Step-by-step explanation:

From least to greatest:

2,3,4,5,6

Since the total values is odd, the middle number is the median

4 is the median

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

Question 3: 8000

Question 4: 300

Answer:

3. 8,000

4. 300

Step-by-step explanation:

3.

2/5 * 20,000 = 2 * 20,000/5 = 2 * 4,000 = 8,000

Answer: 8,000

4.

Use a proportion.

10/2 = x/60

5/1 = x/60

x = 5 * 60

x = 300

Answer: 300

A small town is trying to establish a transportation system of large and small vans.
It can spend no more than $100,000 for purchasing both sizes of vehicles and no
more than $500 per month for maintenance. The town can purchase a small van for
$10,000 and maintain it for $100 per month. The large vans cost $20,000 each and
can be maintained for $75 per month. Each large van carries a maximum of 15
passengers and each small van carries a maximum of 7 passengers. Find the
maximum number of passengers the transportation system can handle given the
constraints. How many large and small vans will they need to maximize the
number of
passengers
it can service?

Answers

its a           .......................................Step-by-step explanation:

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