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bezimeni [28]
3 years ago
10

How can you factor out the coefficient of a variable? Please help , Thank you

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
The coefficient of b (that is, 2) divides into 2b and also into 8, so it is a factor (a value that is multiplied by another value to produce a term in an expression)
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With a fair die, the probability of rolling any number 1 through 6 is the same.
yaroslaw [1]
The probability of all possible outcomes is always 1, meaning 100%.

In this case the probability of rolling a 1,2,3,4,5, or 6 is:

1/6+1/6+1/6+1/6+1/6+1/6

6(1/6)

6/6

1
7 0
4 years ago
Read 2 more answers
URGENT!!! I NEED MATH HELP ASAP!!! I don't understand this assignment at all! It has 5 parts, the first four are charts or graph
Vika [28.1K]
First off, 23+12 isn't 45.

Anyways, Part A, graphing should be pretty simple, just match the corresponding values together as shown by the table on the left. For example, for the crop size that says "200," go up to where the value is seven, and mark it. 

The function is also not that hard. Make "x" equal the value of the crop size. (Square yards) Thus for "x" crop size, the function B(x) = 3.5/100.

Part B<span>
W(x) = 60*x

</span>For the completing the table, just plug in some values for "x" (remember "x" is "Bushels of corn in a shipment") like 1, 2, 3, 4 etc, and write the corresponding output next to it.

Part C
The given information literally tells you the answer. P(x) = 4x. That's ur function. So for the graph, say "x" ("Bushels of Corn") is 1, than the corresponding "y" value ("Selling Price") is 4, since P(x) = 4*x. 
<span>
As for completing the table, once again, just write in several values, geez. For example, "Bushels of Corn" = 5, than "Selling Price" = 20. 

The function basically is the key to all the answers. </span>

Part D
Alright, remember, once you get the function, you have all the answers. 5 Bushels of corn equals 14 gallons of ethanol, so the function is <span>
<span>E(x) = 14/5. (And remember, the "x" value is "bushels of corn")
</span></span>
The table and graph are easy to do, since you know the function, however the "y" axis values on the graph are kind of challenging to deal with, but I have faith that you can estimate and mark the values close enough.<span>

</span>

Here's my best explanation for Part E,<span>

Proportional relationships have graphs that always pass through the origin of a graph, while non-proportional graphs don't. And also, proportional relationships always have consistent ratios, while non-proportional relationships don't. And for their equations, proportional relationships equations are always one step, (Ex: y = 5x) while non proportional equations are two-step equations, which means they contain a constant value that is added or subtracted on the left side. (Ex: y = 3x - 12)</span>


4 0
3 years ago
Read 2 more answers
Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov
Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

  • Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
  • Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

x_1 -\mu= 76-81 = -5\\&#10;x_2-\mu = 87-81 = 6\\&#10;x_3-\mu = 65-81 = -16\\&#10;x_4-\mu = 88 -81 = 7\\&#10;x_5-\mu = 67-81 = -14\\&#10;x_6 -\mu= 84-81 = 3\\&#10;x_7 -\mu= 77-81 = -4\\&#10;x_8 -\mu= 81-81 = 1\\&#10;x_9 -\mu= 91-81 = 10\\&#10;x_{10}-\mu=85-81 = 4\\&#10;x_{11} -\mu= 90-81 = 9

\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2

                 =  25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

                 = 785

\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}

                             \sigma= \sqrt{\dfrac{785}{11}}\\\\&#10;\sigma = 8.4477

<h3>Variance</h3>

Variance = \sigma ^2

              = 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0
3 years ago
The parabola opens upward has x = 2 as an axis of symmetry and contains the non -vertex points (1, 9) and (4, 27) write the equa
Sedaia [141]

Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

4 0
3 years ago
The sum of 2 numbers is 164. the larger exceeds 3 times the smaller by 36.
crimeas [40]
Explain more plez i dont under shand this anymore
3 0
4 years ago
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