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Which of the following situations could be modeled by an linear function?

Question 17 options:

The number of people in a stadium is decreasing at a rate of 45% every 10 minutes


The water level of a tank doubles every day


The population of a small town grows at a rate of 2.4% each year


A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year

Answers

Answer 1

A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.

Hope this helps!

Answer 2

Answer: D

Step-by-step explanation:


Related Questions

Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.

Answers

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]

So, there are 3 terms, which is a trinomial.

A car travels 15 km in 13 minutes. What is its average speed in km/h?

Answers

Answer:

69.45 km/h

Step-by-step explanation:

Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)

Conclusion:

Therefore, the speed is 69.45 km/h (Approximate)

Hoped this helped.

The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?

Answers

25% decrease
Hope this helps!

Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look

Answers

Answer:

≈ 98.7

Step-by-step explanation:

What you want to use is Pythagorean Theorem

96 squared + 23 squared = c squared

≈ 98.7

I need help on this last question

Answers

Answer:

They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.

Step-by-step explanation:

Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.

While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.

slope = 1/2 goes through (2,6)

Answers

I’m not sure what the question is but I’m just gonna assume that you need the equation: y=1/2x+5

that was sooo good !

Answers

yea, what was good? you cant just say that something is good with no explanation lol

Solve the following system of equations.

3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28

Solution(s):

Answers

Answer:

[see below]

Step-by-step explanation:

I graphed the system of equations.

When graphed, the two equations intercept 4 times.

(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.

Hope this helps.

Can someone plss help me with this!!!

Answers

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above

Answers

D Extending the application of (a method or conclusion, especially one based on statistics) to an unknown circumstance by assuming that existing trends will continue or that similar procedures will be applicable

the fraction 26/5 is between which two numbers​

Answers

Answer:

[tex]\huge\boxed{5,6}[/tex]

Step-by-step explanation:

The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.

Hope it helps :) and let me know if you want me to elaborate.

simplify the following 2 √5 *5 √5

Answers

Answer: 50!!!

Step-by-step explanation:

PLEASEEEEE HELPPPP ASAPPP

Answers

Answer:

  40.5°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this triangle, that means ...

  tan(x°) = 4.7/5.5

The angle is found using the inverse function:

  x° = arctan(4.7/5.5) ≈ 40.5°

Hey can yall help me asap

Answers

Answer:

4 pieces of fruit

Step-by-step explanation:

48 divided by 12 = 4

28 divided by 7 = 4

Help help help help pls

Answers

This is all simple division rules. U have 2 different values so you divide the larger value with the smaller value.

question 4 algebra maths

Answers

Answer:

30

Step-by-step explanation:

4(3)^2 +(3*-2)

4*9-6=36-6=30

Answer:

30

Step-by-step explanation:

Substitute x = 3 and y = - 2 into the expression

4x² + xy

= 4(3)² + 3(- 2)

= 4(9) - 6

= 36 - 6

= 30

2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)

Answers

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

The +2 moves the  parent 2 units to the left and the + 6 moves it up 6 units.

Will mark brainliest

Answers

Answer:

The purple square

Step-by-step explanation:

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.​

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

7 grade math hellp me

Answers

Answer:

P=25

Step-by-step explanation:

May I please receive help?

Answers

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

A town doubles its size every 35 years. If the population is currently 50000, we will the
population be in 140 years?


please help

Answers

140/35= 4. so it will double 4 times in the next 140 years. so it’s 50000 x 2= 100k 100k x 2 = 200k 200k x 2= 400k 400k x = 800k so the population in 140 years will be ~800k people

Car Miles Driven Gallons Used

Car A 84 2

Car B 90 4.5

Car C 108 3

Car D 185 5

Which car can travel the furthest on one gallon of gas?
Car A
Car B
Car C
Car D

Answers

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Car A

Explanation:
Miles Driven / Gallons Used

A: 84 / 2 = (42 mi per gallon)
B: 90 / 4.5 = (20 mi per gallon)
C: 108 / 3 = (36 mi per gallon)
D: 185 / 5 = (37 mi per gallon)

Evaluate the expression for u = -15.
-2(-12 – u) =

Answers

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

u = -15

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

40% of 58 and 34% of 76

pls subscribe to aphmau it'll help her alot

Answers

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84


Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answers

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

150 - 0.5 = 120 + 0.25

Answers

Answer:

149.5 = 120.25

Step-by-step explanation:

yall i need help asap! its due in 1hr!!​

Answers

[tex] \frac{7}{20} \times 100 = \\ [/tex]

[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]

[tex]5 \times 7[/tex]

[tex] 35 \: \: percent[/tex]

_____________________________________________

Suppose that number is x thus twice a number means :

[tex]2 \times x[/tex]

Plus 6 :

[tex]2x + 6[/tex]

Gives a result 28 :

[tex]2x + 6 = 28[/tex]

_____________________________________________

Have a great day ♡

help pls i don't know how to do it

Answers

Answer:

y=5x-8

Step-by-step explanation:

Slope=m=(7-3)/(3-2)

y=5x+b=>2=5*2+c=>c=-8

So y=5x-8

[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]

Please help look at the picture below

Answers

Answer:

I’m sorry I don’t know

Step-by-step explanation:

☹️☹️☹️☹️☹️

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