Evaluate: 3(2f - g) + 4h for f = 2, g = -1 and h = 3

Answer:

1000 calories

Step-by-step explanation:

2000-(1400-400)

Answer:

800

Step-by-step explanation:

2000−1200

=2000−1200

=2000+−1200

=800

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

[tex]\rm\frac{dB}{dt} = 3.5[/tex]

We can frame a linear function such that:

[tex]\rm y = 2 + n(\frac{dB}{dt})[/tex]

[tex]\rm y = 2 + 3.5n[/tex]

Where y represents the total data stored at n years.

And n represents the [tex]\rm n^{th}[/tex] year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

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Answer:

16 boxes in 10 minutes

Step-by-step explanation:

2/5 = 15 sec

15 ÷ 2=7.5              1/5 = 7.5 seconds

7.5 × 5 = 37.5            37.5 = 1 box

60 × 10 = 600 secs

600 ÷ 37.5 = 16

16 boxes of toffee were made in 10 minutes

Answer:

[tex] \frac{7a}{2} - 5 = h[/tex]

Step-by-step explanation:

[tex]7a = 10 + 2h[/tex]

Isolate 2h

[tex]7a - 10 = 2h[/tex]

Divide both sides of the equation by 2

[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]

Simplify

[tex] \frac{7a}{2} - 5 = h[/tex]

Step-by-step explanation:

Using the f(x) defined in the question,

f(0) = -(0) + 2 = 2.

Answer:

table A

Step-by-step explanation:

side note: if the outputs have the same numbers there not a function

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term [tex]a_{1} =11[/tex]

second term [tex]a_{2}=7[/tex]

Common difference = 7-11 = -4

Third term [tex]a_{3}=3[/tex]

Common difference = 3-7 =- 4

Fourth term [tex]a_{4}=-1[/tex]

Common difference = -1-3= -4

Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]

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Answer:

Length of fencing needed = 4x + 45

Step-by-step explanation:

Assume;

Width of rectangle = x

So,

Length of rectangle = x + 45

Find:

Length of fencing needed

Computation:

Length of fencing needed = 2(l+b) + b

Length of fencing needed = 2(x+45+x) + x

Length of fencing needed = 2(2x+45) + x

Length of fencing needed = 4x + 45

Answer:

30x - 18y + 24

Step-by-step explanation:

When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).

Answer:

2 places after the decimal point.

Step-by-step explanation:

Answer:

2 places after the decimal point

Step-by-step explanation:

[tex]\frac{1}{100}[/tex] =0.01

Hav a nice day

Answer: Maria did not divide correctly

Step-by-step explanation:

Answer:

Maria did not divide correctly

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.

Answer:

no

Step-by-step explanation:

just to make you clear...

to check if two terms or expression are equivalent or equal

just divide them and if quotient is 1 then they are equal

but in this case.their quotient will be (x-3)

Answer:  

Slope-int form: y = mx + b

x/10 + y/1000 = 1

y/1000 = -x/10 + 1

y = 1000(-x/10 + 1)

y = -100x + 1000

Step-by-step explanation:

Answer:

Y-axis = scoops sold

X-axis = month

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

14, 13, 12, 11, 10, 9.

5+4 = 9

Answer:

5

Step-by-step explanation:

You're given 14 - [something] = 5 + 4.

You can start out by making sure you understand what you see.

If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?

And you can figure out that 5 + 4 = 9.

So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:

14 - [something] = 9

Now you can just think about this. Fourteen minus what equals 9?

You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.

Or, you can also think like this:

You know that 10 is just one more than 9.

14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

Answer:

x = 15

Step-by-step explanation:

3x-7=x+23

Subtract x from each side

3x-x-7=x-x+23

2x -7 = 23

Add 7 to each side

2x-7+7 = 23+7

2x = 30

Divide by 2

2x/2 = 30/2

x = 15

Answer:

x=15

Step-by-step explanation:

3x-x=23+7

2x=30 divide by 2

x=15

Answer:

Each friend will need to contribute $20

Step-by-step explanation:

For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:

Cost per friend = Total cost / # of friends

We are given that the Total cost is $100 and that there are 5 friends.  So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):

Cost per friend = Total cost / # of friends

Cost per friend = $100 / 5

Cost per friend = $20

Hence, each friend will need to contribute $20.

Cheers.

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = x² - 10x + 22

Now, We know that;

Domain of a function is defined as a set of value for which the value of function is real and defined.

Here, There is no points for x where the function f(x) is non defined.

Hence, Whole number line is the domain for the given function.

So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

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Answer:

50,25

Step-by-step explanation:

you continue to divide by 2 so 100/2 is 50 then 50/2 is 25

Answer:

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

Step-by-step explanation:

let the number be x , then

[tex]\sqrt{x}[/tex] = 2x ( square both sides )

x = (2x)² = 4x² ( subtract x from both sides )

4x² - x = 0 ( factor out x from each term )

x(4x - 1) = 0

Equate each factor to zero and solve for x

x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Assuming x > 0 then the number is [tex]\frac{1}{4}[/tex]

As a check

[tex]\sqrt{\frac{1}{4} }[/tex] = [tex]\frac{1}{2}[/tex] and 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y _{1} = m(x - x _1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]

We have the final answer as

Hope this helps you

Answer:

19

Step-by-step explanation:

All you have to do is add 14 to 5 to find out x-5=14

can u plzz explain me the question

Answer:

5/10, or 1/2

Step-by-step explanation:

If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.

3/10+2/10=5/10

10/10-5/10=5/10

Simplified: 1/2

Answer:

A

Step-by-step explanation:

the other options have a common difference

Answer:

A is not arithmetic series

Step-by-step explanation:

In B,C and D there is arithmetic series as a2-a1=a3-a2

In A. there is no such series.....

Answer:

The x coordinate is 2

Step-by-step explanation:

Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)

The x-coordinate of the point plotted is (2, 0)

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

We need to find the x-coordinate of the point plotted  in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.

The point is at 2 on x axis and y value will be zero

(2, 0) is the x coordinate of the given point

Hence,  the x-coordinate of the point plotted is (2, 0)

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