Number 13 is what I need done

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Instead of using an = sign we use $\leq$ becuase its less than or equal to 100 dollars.

The equation of the line is y=10x+7

sub in 100 for y and the inequallity sign

10x+7 $\leq$ 100

solve so x is isolated

10x $\leq$ 93
x $\leq$ 9.3

technically the answer is 9 because you cant buy a fraction of a CD

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For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i

Makovka662 [10]

<h2>Hello!</h2>

The answers are:

a) The name of the function is f.

b) Independent variable : t , dependent variable : y/f(t)

c) The rule that assings exactly one output to the very input is called "function".

d) $f(-5)=-3t^{2}-2t=-3*(-5)^{2}-2*(-5)=-75+10=-65$

Usually, the name of a function $f(x)$ is what is out of the parentheses, so the name of the function is "f".

The independent variable of a function is the variable we assign the different values, so, for this case, the independent variable is "t"

The dependent variable is the function itselft, it's also called "y", it's called "dependent" variable because its values will always depends of the "independent variable"

Function is the rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

Evaluating a function consists of assign values to the independent variable, so:

$f(-5)=-3t^{2}-2t=-3*(-5)^{2}-2*(-5)=-75+10=-65$

Have a nice day!

3 0

3 years ago

Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

vodka [1.7K]

The average rate of change for the function f(x) can be calculated from the following equation
$\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }$

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
\frac{\pi}{2} } = \frac{4}{\pi}$

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>

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3 years ago

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Alika [10]

So it can be written as 2x + 5 = 11, and x = 3

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3 years ago

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coldgirl [10]

Answer:

The answer I have to say would be D. Please correct me if I am wrong but I am positive with my answer!

Step-by-step explanation: