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3 years ago

What is the constant of proportionality from the following equation: s = 0.75u

Mathematics

1 answer:

QveST [7]3 years ago

7 0

Answer:

0.75

Step-by-step explanation:

The equation representing direct proportion is

y = kx ← k is the constant of proportionality

s = 0.75u ← is in this form

with k = 0.75

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What is the anwer of 40+678

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Answer:

718

Step-by-step explanation:

just add the two numbers

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3 years ago

Read 2 more answers

Cual es la fracción de 0.7

kakasveta [241]

Answer:

La fracción de 0.7 es 7/10

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3 years ago

Evaluate the function f(x) at the given numbers (correct to six decimal places).

3241004551 [841]

Answer:

The function $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ has the following set of solutions:

$f(4.1) = 0.506173$ , $f(4.05) = 0.503106$ , $f(4.01) = 0.500624$ , $f(4.001) = 0.500062$ , $f(4.0001) = 0.500006$ , $f(4.0001) = 0.500006$

$f(3.9) = 0.493671$ , $f(3.95) = 0.496855$ , $f(3.99) = 0.499374$ , $f(3.999) = 0.499937$ , $f(3.9999) = 0.499994$

Step-by-step explanation:

Let be $f(x) = \frac{x^{2}-4\cdot x}{x^{2}-16}$ , we proceed to simplify the expression by Algebraic means:

1) $\frac{x^{2}-4\cdot x}{x^{2}-16}$ Given

2) $\frac{x\cdot (x-4)}{(x-4)\cdot (x+4)}$ Associative, commutative and distributive properties/ $a^{2}-b^{2} = (a+b)\cdot (a - b)$

3) $\frac{x}{x + 4}$ Commutative, associative and modulative properties/Existence of multiplicative inverse/Result

Now we evaluate the function for each value:

$x = 4.1$

$f(4.1) = \frac{4.1}{4.1+4}$

$f(4.1) = 0.506173$

$x = 4.05$

$f(4.05) = \frac{4.05}{4.05 + 4}$

$f(4.05) = 0.503106$

$x = 4.01$

$f(4.01) = \frac{4.01}{4.01 + 4}$

$f(4.01) = 0.500624$

$x = 4.001$

$f(4.001) = \frac{4.001}{4.001+4}$

$f(4.001) = 0.500062$

$x = 4.0001$

$f(4.0001) = \frac{4.0001}{4.0001 + 4}$

$f(4.0001) = 0.500006$

$x = 3.9$

$f(3.9) = \frac{3.9}{3.9+4}$

$f(3.9) = 0.493671$

$x = 3.95$

$f(3.95) = \frac{3.95}{3.95+4}$

$f(3.95) = 0.496855$

$x = 3.99$

$f(3.99) = \frac{3.99}{3.99+4}$

$f(3.99) = 0.499374$

$x = 3.999$

$f(3.999) = \frac{3.999}{3.999 + 4}$

$f(3.999) = 0.499937$

$x = 3.9999$

$f(3.9999) = \frac{3.9999}{3.9999 + 4}$

$f(3.9999) = 0.499994$

4 0

3 years ago

Expand and simplify: (-7y - 8) (y - 4)

ZanzabumX [31]

<h2><u>Simplification</u></h2>

<h3>Expand and simplify: (-7y - 8) (y - 4)</h3>

To expand an expression, use FOIL method.

<h3><u>F - First</u></h3>

Multiply the first term in each expression inside the parentheses.

<u>-7y</u> and <u>y</u> are the first terms in <u>each expression</u>.

<h3><u>O - Outside </u></h3>

Next is to multiply the terms outside. (The first term in the first expression and the last term in the second expression)

<u>-7y</u> is the first term in the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

<h3><u>I - Inside</u></h3>

The next step is to multiply the terms inside. (The last term in the first expression and the first term in the last expression)

<u>-8</u> is the last term in the <u>first expression</u>

<u>y</u> is the first term in the <u>second expression</u>

Last step is to multiply the last term in each expression.

<u>-8</u> is the last term of the <u>first expression</u>

<u>-4</u> is the last term of the <u>second expression</u>

Combine all simplified terms.

-7y² + 28y - 8y + 32
-7y + 20y + 32

<u>Answer:</u>

<u>-7y + 20y + 32</u>

Wxndy~~

8 0

2 years ago

Drag the correct description to tell whether the graph represents a function.

nadezda [96]

Answer:

1) Not a function 2) function 3) function

Step-by-step explanation:

Use the vertical line test. If you draw a line on every vertical line on the graph and you see two points, it is not a function.

5 0

3 years ago