What is the primary difference between exponential and linear functions?

A: The growth of an exponential function is proportional to the previous growth while the growth of a linear function is constant.

B:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is constant.

C:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is proportional to the quadratic growth.

D:The growth of an exponential function is proportional to the quadratic growth while the growth of a linear function is constant.

Answer:

y = 3x - 2

Step-by-step explanation:

Parallel lines have the same gradient in this case 3 is the gradient.

We will use the point (2,4) to form our own equation.

4 will be y, 3 will be m, 2 will be x

All we need is to find the C in the equation y=mx + c

4 = 3(2) + c

4 = 6 + c

C = -2

Therefore;

y = 3x - 2

Answer:

f(5) = -6

Step-by-step explanation:

Answer:

brother

Step-by-step explanation:

Answer:

$600

Equation:

(Base) x (percent as a decimal) x (years) = interest

(B x .16 x 7.5 = 720)

Steps:

(Base) x (percent as a decimal) = (interest) / (years)

(B x .16 = 96)

Base = (interest / years) / (percent as a decimal)

(B = 600)

Answer:

This cinder block has gravitational potential energy.

This cinder block has 15 484 joules of potential energy

Step-by-step explanation:

PE = mass*gravity*height and g= 9.8 m/s^2

PE = 79 * 9.8 * 20

PE = 15 484

Answer:

(-11[2-25/ l-2l + 5]

(11[2-25/2+5]

(11[23/7]

11(3.28571428571)

36.1428571429

Answer: gas left after 4 hours :8

Gas left after t hours: 13-1.25t

Step-by-step explanation:

The gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

It is given that Ryan has 13 gallons of gas in his car and car uses 1.25 gallons of gas per hour.

We have to find out the amount of gas left after 4 hours and expression for the gas left after t hours.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

Ryan has 13 gallons of gas in his car.

The gas used per hour = 1.25 gallons

The gas used by car in 4 hours will be ;

= 1.25 × 4

= 5 gallons

So ,

The gas left after 4 hours will be equal to ;

= 13 - 5

= 8 gallons

Also ;

The gas left after t hours can be represented by equation ;

= 13 - 1.25 t

Thus , the gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

#SPJ2

Answer:

60 ft

after subtracting the motor car

Answer: -14.5

What I did was Subtract 3.5 from -11.

When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.

Answer:

-14.5

Step-by-step explanation:

-11 - 3.5

Because 11 is already negative, when you subtract a number from a negative, think of -11 becoming "smaller" (smaller being -14, or -25).

When doing -11 - 3.5, think if it as adding 11 and 3.5 together !

When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.

You add a negative sign to said -14.5, and that's your answer !

Subtracting from a negative is confusing, so I taught myself to think of it as adding the numbers as if they were positive and adding a negative sign !

Answer:

Mao will say more numbers.

Step-by-step explanation:

Think about it like this, 5x6=30 Mao will be saying 6 numbers

10x4=40... Alana will be saying 4 numbers.

Answer:

Student A: y=3+2x

Student B: y=5+1x

Answer:

31

Step-by-step explanation:

you're just subtracting by two's as the pattern goes on.

In the given pattern 41,39,37,35,33​,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:

41, 39, 37, 35, 33

The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.

So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31

The next number in the pattern is 31.

To know more about pattern:

https://brainly.com/question/30571451

#SPJ3

Answer:

[tex]216[/tex]

Step-by-step explanation:

Remember that [tex]a^{b}=a*a*a*a*... b~~times[/tex].

So, [tex]6^3=6*6*6=(6*6)*6=36*6=\boxed{216}[/tex]

The sum of the interior angles of a triangle is 180 degrees. Therefore, we can add up angles E, F and G, set the sum equal to 180, and solve.

(8x - 16) + (x + 8) + (2x - 10) = 180

11x - 18 = 180

11x = 198

x = 18

Hope this helps!! :)

==========================================================

Explanation:

Note that 2^4 = 16 is one less than 17.

Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.

In terms of modular arithmetic, we can say,

[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]

Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81

[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]

Lastly, we'll multiply both sides by 2 to get to the final answer

[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]

So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2

Answer:

Step 2: Commutative Property

Step 3: Associative Property

Step-by-step explanation:

According to the Commutative Property of Addition: Two real numbers can be added in either order.

a + b = b + a

Therefore, she used the Commutative Property in Step 2.

In Step 3, she used the Associative Property, in which the grouping of the addends does not change the sum.

Answer:

c

Step-by-step explanation:

Answer:

A 33

Step-by-step explanation:

135 - 3 = 132 photos for other pages

132/4 = 33 pages

Answer:

32

Step-by-step explanation:

Answer:

[tex]2) \: \: \frac{11}{2} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5} + \frac{18}{20} \\ \\ \frac{4}{5 \times 4} + \frac{18}{20} \\ \\ \frac{4}{20} + \frac{18}{20} \\ \\ \frac{4 + 18}{20} \\ \\ \frac{22}{20} \\ \\ \frac{11}{2} [/tex]

Answer:

20

Step-by-step explanation:

The GCF of 4 and 16 is 4.

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

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

We can rewrite this using the distribute property like so:

[tex] 4(1 + 4)[/tex]

Using the distribute property:

[tex] = 4 + 16[/tex]

[tex] = 20[/tex]

We can also add inside the parentheses and multiply we'll get the same answer.

[tex] = 4(5) \\= 20[/tex]

Answer:

Sorry i don't know but i need these points *Lol* i am honest

Step-by-step explanation:

Answer: C

Step-by-step explanation: The surface of the lake.

Answer:

The answer would be , less than one .

The difference of 1.4 - 0.95 is less than one as per the concept of subtraction.

To determine this, we can simply subtract the two values:

1.4 - 0.95 = 0.45

Since the result of the subtraction is 0.45, which is less than one, we can conclude that the difference of 1.4 - 0.95 is indeed less than one.

In numerical terms, the difference is 0.45, which is 45 hundredths or less than half of one whole unit.

When comparing the two original values, 0.95 is almost half of 1.4, making the difference smaller than one.

In summary, the difference of 1.4 - 0.95 is less than one, specifically 0.45. It is essential to pay attention to the decimal values and their magnitudes when determining the difference between two numbers.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ3