The table shows a function. Is the function linear or nonlinear?

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30

Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.

An exponential function, with a doubling time of d, after t hours, is given by:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

In this problem:

Then:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]

After 13 hours:

[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]

The population of bacteria in the culture after 13 hours is of 1,491,747.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]

The number of soda bottles Katie bought is 6

The given parameters are:

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

Read more about linear equations at:

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Answer:

y= 1/2

Step-by-step explanation:

      y=-4 -3y+x

<=> y + 3y = -4 + x

<=> 4y = -4 + 6

<=> 4y = 2

<=> y = 1/2

Answer:

2x+6

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

12x+ 4= 2(length + 4x-4)

2(6x+2)= 2(length + 4x-4)

divide both sides by 2

6x+2= length+4x-4

length = 2x +6

Answer:

6 1/10 (6.1)

Step-by-step explanation:

2 3/5 + 3 1/2  (2.6 + 3.5= 6.1)

2 6/10 + 3 5/10

5 11/10

6 1/10 (6.1)

Answer: 17/2

Step-by-step explanation: 2/3 of 12 3/8 = 8.25

8.25 as a fraction= 17/2.

Answer:

17 divided by two

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].

So we'll remain with: 5 * 2 * 3 = 30.

:)

Answer:

30

Step-by-step explanation:

First multiply 2 square root with 2 square root and since they are identical the answer will be 2.

Now multiply 3 and 5:

3×5= 15

Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30

I couldn't explain well but I hope you understand

Answer:

: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2

Answer:

XD yall all ways doing this to me so yall somthings don't give me the Answer

Step-by-step explanation:

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

Answer:

No, they can NEVER make supplementary angles.

Step-by-step explanation:

Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.

Therefore, the answer is no.

Answer:

Adding two obtuse angles can never make supplementary angles.

Step-by-step explanation:

An obtuse angle has a measure of greater than 90°, and less than 180°.  

Supplementary angles are two angles whose sum add up to 180°.

We must determine whether adding two obtuse angles can make them supplementary angles through the following example.

Suppose that we have two obtuse angles:

m ∠ 1 = 90.1°

m∠ 2 = 90.1°

Let us add these two obtuse angles together to determine whether their sum is at most 180°.

m ∠ 1 + m ∠ 2 = ?

90.1° + 90.1° = 180.2°

Since their sum is greater than 180°, then it means that they are not supplements.

Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.

Answer:

63 degrees

Step-by-step explanation:

Angle IGH is 40 degrees because it is vertical to angle BGD.

Angle HIG is 77 degrees because it is a linear pair with CIH.

Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees

Answer:

cogratulation you're the best math

Answer:

10

x

2

−

x

−

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

Have a nice day/night/afternoon.  

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Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

Answer:

x=-3

Step-by-step explanation:

x^2+6x+9=0

Factor

(x+3)(x+3) =0

Using the zero product property

x+3 =0  x+3=0

x=-3   x=-3

Solution

x=-3

Answer:

1) C = 105.8°

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think that it is either -7 - -8 or -7 + 8 or -7+-8.

Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are

Expression a  = 7 - 8

Expression b = -8 - (-7)

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

Greg records deposit of $7

He records purchase of $8 b

Total change = 7 + (-8)

Expression a  = 7 - 8

Expression b = -8 - (-7)

Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.

Learn more about expression here:

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Answer:

A, B, D

Step-by-step explanation:

from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).

Answer:

Cost of each share is [tex]6Rs[/tex]

Step-by-step explanation:

Let the cost be [tex]5x,7x,4x[/tex]

We have

[tex]5x+7x+4x=96\\\\16x=96\\\\x=6[/tex]

Cost of each share is [tex]6Rs[/tex]

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Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.