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insens350 [35]
3 years ago
14

F(x)=-2x+13 for f(-4) Evaluate

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

<h2>f( - 4) = 21</h2>

Step-by-step explanation:

f(x)=-2x+13

To find f(-4), substitute the value of x that's - 4 into f(x). That is for every x in f(x) replace it with - 4

We have

f( - 4) =  - 2( - 4) + 13 \\  = 8 + 13 \\  = 21 \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>f(-4) = 21</h3>

Hope this helps you

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The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e
labwork [276]

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

\sinh(x)=\frac{e^{x}-e^{-x}}{2}

\cosh(x)=\frac{e^{x}+e^{-x}}{2}

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that e^{0}=1. Then,

\sinh(0) = \frac{1-1}{2}=0

\cosh(0) = \frac{1+1}{2}=1

For the end behavior, recall the following:

\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0

\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty

Using the properties of limits, we have that

\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty

\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty

\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty

\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty

8 0
3 years ago
6 sweets cost 42p altogether how much do 8 sweets cost?
Inessa05 [86]
The best thing to do is to find the cost of one sweet, and to do this, divide 42 by 7.
42/7= 6
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To find the cost of 8 sweets, you've got to multiply 6 by 8, and this gives you 54p.
Therefore, 8 sweets cost 54p
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6 0
3 years ago
A traveling with thrill rides charges $9 for admission plus $1.50 for each ride you take. If you pay $19.50 total, how many ride
vichka [17]

Answer:

7 rides

Step-by-step explanation:

1. find the amount of money you spent on rides (total money spent - admission fee) = $19.50 - $9 = $10.50

2. find the number of rides you rode (money spent on rides/cost of each ride) = $10.50/$1.50 = 7

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In y=kx , subst. -30 for x and 3 for y.  Then solve the resulting equation for k:

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The constant of proportionality is k = -1/10.

3 0
4 years ago
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