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3 years ago

Must a function that is decreasing over a given interval always be negative over that same interval ? Explain

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

Answer:

For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.

Leno4ka [110]3 years ago

5 0

Check the picture below.

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One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], wh

kiruha [24]

Answer:

2.16 * (10^-5).

Step-by-step explanation:

5 = -log H+

5 = log (1 / H+)

1/ H+ = 10^5

H+ = 10^-5

In a similar fashion the other brand has H+ of 10^-4.5.

So the difference in hydrogen ion concentration = 10^(-4.5) - 10^(-5)

= 2.16 * (10^-5).

4 0

3 years ago

Read 2 more answers

The length of a sticky note measures 77 millimeters.express this length in meters explain your thinking include an equation with

Eva8 [605]

The length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

Further explanation:

Given:

The length of sticky notes is measured as 77 millimeters.

Calculation:

Since 1 meter contains 1000 mm, it can be written as follows:

$\begin{aligned}1000{\text{mm}}&\to{\text{1meter}}\\{\text{1mm}}&\to\frac{{\text{1}}}{{1000}}{\text{meter}}\\{\text{1mm}}&\to{10^{-3}}{\text{meter}}\\x\,{\text{mm}}&\to x \times {10^{-3}}{\text{meter}} \\ \end{aligned}$

Now, substitute 77 for x in above expression to obtain the length of sticky notes in meter as follows:

$77\,{\text{mm}}\to77\times{10^{-3}}{\text{meter}}$

Thus, the length of the sticky notes is $\bf77\times{10^{-3}}{\text{meter}}$ .

Learn more:

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

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2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12

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3. what are the domain and range of the function f(x) = 3x + 5?

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:

Millimeters, meter, equation, sticky notes, measurements, length, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, scientific notation.

3 0

3 years ago

Read 2 more answers

Find f(−2) given that f(x)=2x2−3x+7.

Sedaia [141]

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

= 2(4) - (-6) + 7