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Monica [59]
4 years ago
11

Think about the function f(x) = 3 - 2x

Mathematics
2 answers:
Angelina_Jolie [31]4 years ago
6 0

f(0) means the function output when the input is x = 0. This is the same as saying the y value when x = 0.

f(x) = 3-2x

f(0) = 3-2(0)

f(0) = 3

The point (0,3) is on the graph. This is the y intercept which is where the graph crosses the y axis. The y intercept always occurs when x = 0.

So in other words, the special name for f(0) is the y intercept.

valentinak56 [21]4 years ago
5 0

Answer:

The answer to the first one is :  The output (y-value) when x = 0

f(0) = 3

What is the special name of f(0)?  The y-intercept

Step-by-step explanation:

on edg.  Good Luck!!!

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A cake recipe calls for 30 milliliters of water for every 20 milliliters of cooking oil. How many milliliters of water are neede
NikAS [45]
To solve this problem we can set up a proportion, letting x represent the unknown amount of cooking oil.

30 milliliters water/20 milliliters cooking oil = x milliliters water/ 50 milliliters cooking oil

30/20 = x/50

To solve this proportion, we can use cross products, also called the means extremes products theorem.  This takes the products of the numerator and denominator from the separate fractions and sets them equal to one another.  In this circumstance, it results in the equation:

(30)(50) = (x)(20)

When we multiply we get:

1500 = 20x

Finally, we have to divide both sides of the equation by 20 to get our variable x alone on the right side of the equation.

x = 75 milliliters

Therefore, the proportion is completed, as 30/20 = 75/50.

Answer: You need 75 milliliters of water.


7 0
4 years ago
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What does 11x-7y=-14
Kryger [21]
11x-7y=14
-11x       -11x

-7y=-11x+14
 /-7     /-7    /-7

y=11-2  <<<< The is the final answer. Hope it helps!!
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4 0
3 years ago
Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

=\frac{72}{n^2}

According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

that is there exist no error. So n=0.

6 0
3 years ago
If it takes you seven minutes to read a page in a book, how many words can you read in one minute? WHAT NECCESSARY PIECE OF INFO
Neko [114]

Answer:

The number of words per page.

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3 years ago
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If f(x) = 4x + 3 and g(x) = 3x, evaluate for X = -1/2
miskamm [114]

Answer:

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Step-by-step explanation:

Given the function f(x) = 4x + 3 and the function g(x) = 3x, to evaluate for x=-\frac{1}{2}, you need to substitute it into each function.

Then, for the function f(x), when  x=-\frac{1}{2}, you get:

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 f(-\frac{1}{2}) = 4(-\frac{1}{2}) + 3

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g(-\frac{1}{2} ) = 3(-\frac{1}{2})

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3 years ago
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