Evaluate f(x)= -3x+8 at the following values.


Box #1: x=3


Box #2: x=0


Box #3: x=-2
High school idk why it says college

The equation representing the relationship in the table is y = 2x - 3. The correct option is C.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.

Given data in the table:-

x              y

0              -3

1               -1

2              1

3              3

The equation satisfying the values of the table will be:-

y = 2x - 3

-3 = 2 x  0 - 3=-3

-1 = 2 x 1 - 3 =-1

1 = 2 x 2 - 3 = 1

3 = 2 x 3 - 3 = 3

Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.

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Answer:

4

Step-by-step explanation:

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

Answer: I'm not sure If i'm right because I did this since 8th grade.

For number 7, I think it would be (the equation form)= 6 x  +  16

For number 8, I think it would be nothing because there is no solution.

Hope this helps:)

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

Answer:

A = 12.56 m²

General Formulas and Concepts:

Pre-Alg

Geometry

Step-by-step explanation:

Step 1: Define

d = 4 m

Step 2: Find r

Step 3: Find Area

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

Answer:

5 week

Step-by-step explanation:

13.75/ 2.75

=5

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

divide the value in feet by 5280 because 1 mile equals 5280 feet.

Answer:There are 5280 feet in one mile; thus

1320/5280 = 1/4

Step-by-step explanation:

sorry if its not correct }:

In the case of Jonas and his washing machine the independent variables are:

The dependent variables are:

The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.

Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.

The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.

According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.

For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.

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Answer:

u have to put the pic of it then only we can understand this please put a pic

Answer:

730%

Step-by-step explanation:

Answer:

60 m^3.

Step-by-step explanation:

3*4*5.

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

Answer:

18

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.

We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.

Answer:

Tree 3

Step-by-step explanation:

The equation for the height of tree 1 is given as:

h = 3.5m

The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)

Hence:

[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\[/tex]

From the graph of tree 3, we get the points (2,4) and (4, 8)

Hence:

[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\[/tex]

Therefore tree 3 grows the slowest

Answer:

1) 90 mi

2) 4 inch

Step-by-step explanation:

1)

Given that the distance between Fairview and Abbots Rise on the map = 5 in

Scale of the map = 1 in: 18 mi

i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.

Given that the map has a distance of 5 inches.

Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi

2) A particular satellite is 12 ft wide.

Model's scale = 1 in : 3 ft

i.e. 1 inch on map is equivalent to actual distance of 3 ft.

OR

3 ft of actual distance = 1 in on map

1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map

12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]

Answer:

The answer is B

Step-by-step explanation:

look it up on google.

Answer:

The answer is B

Mostly its of B but some clouds are also made up of cmulus(option C)

Answer:

The value of x would be 15

Explanation:

10/x = 2/3

Cross multiply:

10 · 3 = x · 2

30 = 2x

30 ÷ 2 = x

15 = x

Answer:

Acute angle between the two planes: approximately [tex]43^\circ[/tex].

Step-by-step explanation:

Find the normal vector of each plane:

As the name suggests, there is a [tex]90^\circ[/tex] angle between a plane and its normal vector. The following four angles will correspond to the vertices of a quadrilateral:

The sum of these four angles should be [tex]360^\circ[/tex]. Two of these four angles were known to be [tex]90^\circ[/tex]. Once the third angle (the angle between the two normal vectors) is found, subtractions would give the measure of the other angle (the smallest angle between these two planes.)

Make use of the dot product to find the angle between these two normal vectors. Let [tex]\theta[/tex] denote the angle between these two vectors.

[tex]\displaystyle \cos \theta = \frac{\begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix} \cdot \begin{bmatrix}2 \\ 1 \\ -3\end{bmatrix}}{\sqrt{1^2 + (-2)^2 + 5^2} \cdot \sqrt{2^2 + 1^2 + (-3)^2}} \approx -0.73193[/tex].

Before continuing, notice that the smallest angle between the two planes would be [tex]360^\circ - 90^\circ - 90^\circ - \theta = 180^\circ - \theta[/tex].

Consider the identity: [tex]\cos\left(180^\circ - \theta\right) = -\cos \theta[/tex].

In other words, [tex]\cos\left(180^\circ - \theta\right)[/tex], the cosine of the smallest angle between the two planes (which the question is asking for) will be the opposite of [tex]\cos \theta[/tex], the cosine of the angle between the two normal vectors.

Therefore, the cosine of the smallest angle between the two planes will be [tex]-(-0.73193) = 0.73193[/tex].

Apply the inverse cosine function to find the size of that angle:

[tex]\arccos(0.73193) \approx 43^\circ[/tex].

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

Answer:

c

Step-by-step explanation:

It shows that The x intercept values are under the time label

Answer:

C

Step-by-step explanation:

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

Answer:

AYOOOOO MONEY CHECK

Step-by-step explanation:

This question was not written properly

Complete Question

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/6, 5/3, 13/6, 8/3

Answer:

a) Common difference = 1/2

b) Fifth term = 19/6

c) nth term = 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term = 152/3

Step-by-step explanation:

We solve using the formula for arithmetic sequence

an = a1 + (n - 1)d

a1 = First term

n= nth term

d = common difference

a) Common difference = Second term - first term or Third term - second term

= d = 5/3 - 7/6

d = LCD (Lowest Common Denominator = 15

d = 5 × 6 - 3 × 7/18

d = 30 - 21/15

d = 9/18

d = 1/2

b) Fifth term =

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 5

d = 1/2

a5 = 7/6 + (5 - 1)1/2

a5 = 7/6 + (4)1/2

a5 = 7/6 + 4/2

a5 = 7/6 + 2

a5 = LCD = 6

= 7× 1 + 2 × 6/6

= 7 + 12/6

= 19/6

c) nth term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = n

d = 1/2

= 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 100

d = 1/2

a5 = 7/6 + (100- 1)1/2

a5 = 7/6 + (99)1/2

a5 = 7/6 + 99/2

a5 = 7/6 + 99/2

a5 = LCD = 6

= 7× 1 + 3 × 99/6

= 7 + 297/6

= 304/6

= 152/3

Answer:

The total is $28.50

Step-by-step explanation:

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

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Answer:

6%

Step-by-step explanation:

I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.

Answer:

6%

Step-by-step explanation:

108           x%

-------  =   --------

225          100%