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Serjik [45]
3 years ago
6

What transformation is made from f(x) → f(-x)?

Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

A) reflection across the y-axis

Step-by-step explanation:

If f(x)=f(-x), then this says that two y-coordinates are equal for opposite values of x.

Let (a,b) a point on f.

Then f(a)=b.

We also know that f(-a)=b and therefore (-a,b) is also a point on the graph.

If you graph [/tex](-a,b)[/tex] and (a,b) you will see they are symmetrical to each about the y-axis.

Example if given both f(x)=f(-x) and f(2)=3, then f(-2)=3. This means both (2,3) and (-2,3) are points on the graph.

Here is what those two points look like on a Cartesian Plane (please see graph in picture).

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Traveling at 65 mph how many feet can you travel in 22 minutes?
baherus [9]
If you are travelling at 65 mph, you have to think of it as if you are moving at a constant speed.  By dividing 65 by 60, you are calculating how many miles you are moving each minute.  In doing so, you can calculate that you are moving at 1.083333 miles each minute.  That's approximately 5720 feet per minute.  (This is calculated by multiplying 1.083333 by 5280 (the number of feet in a mile)).  5720 x 22 minutes, you will have traveled 125,840 feet.

Hope this helps!
6 0
3 years ago
Read 2 more answers
The graph shows the relationship between time and distance is Pam rides her bike. During which time period was the rate of chang
tensa zangetsu [6.8K]
Where is the graph ?
4 0
3 years ago
Read 2 more answers
Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dog
LiRa [457]

\\
\text{Ezra works two summer jobs to save for a laptop that costs at least }\$1100\\
\\
\text{also given that he charges 15 dollars per hour to mow lawns and }\\
\text{10 dollars per hour to walk dogs.}\\
\\
\text{so if he mow lawns for x hours and walk the dogs for y hours in summer,}\\
\text{then the inequality that modeles this data is}\\
\\
15x+10 y \geq 1100

\text{now suppose Ezra decides to also spend more than }\$80 \text{ on a printer,}\\
\text{so the total expences he want for laptop and printer is}=1100+80=1180\\
\\
\text{so now the inequality becomes: }

15 x+10 y >1180

6 0
3 years ago
Read 2 more answers
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
faltersainse [42]

Answer:

The predictive value of a positive test is 18.2%.

Step-by-step explanation:

The population screened is 300.

The true prevalence value of the Lyme disease among clinic attendees is 10\% \Rightarrow 0.10.10% = 0.10.

The proportion that sensitivity is 60\% \Rightarrow 0.6060% = 0.60

The proportion of the specificity is 70\% \Rightarrow 0.70.70% = 0.70

Step 2 of 2

We have to calculate the probability value of the predictive value of positive test.

\begin{array}{c}\\\left( \begin{array}{l}\\{\rm{Positive Predictive }}\\\\{\rm{value}}\left( {PPV} \right)\\\end{array} \right) = \frac{{{\rm{Prevalence}} \times {\rm{Sensitivity}}}}{{\left( {{\rm{Prevalence}} \times {\rm{Sensitivity}}} \right) + \left( {{\rm{1 - Prevalence}} \times 1 - {\rm{Specificity}}} \right)}}\\\\ = \frac{{0.1 \times 0.60}}{{\left( {0.1 \times 0.60} \right) + \left( {1 - 0.1 \times 1 - 0.70} \right)}}\\\\ = \frac{{0.06}}{{0.33}}\\\\ = 0.181818\\\\ = 0.182{\rm{ }}\left( {{\rm{Round to 3 decimal place}}} \right)\\\end{array}  

(Positive Predictive  value, PPV) =

(Prevalence×Sensitivity)/Prevalence×Sensitivity +(1−Prevalence×1−Specificity)  

=   (0.1×0.60)/0.1×0.60  + (1−0.1×1−0.70) ​  

=    0.06 /0.33    

=   0.181818

(Positive Predictive  value, PPV) = 0.182 (3decimals)    

We have to convert the PPV into percentage,

\begin{array}{c}\\PPV = 0.182 \times 100\\\\ = 18.2\% \\\end{array}  

PPV=0.182×100

= 18.2% ​  

Therefore, the predictive positive value is 18.2%.

7 0
3 years ago
18 out of the 25 students are going on the field trip. What percent of the students are going on the field trip?
il63 [147K]
Hello.
To find the percentage of how many students went on the field trip, we simply divide 18 by 25. 
18/25 = 0.72

Convert decimal into fraction.
0.72 = 72%

Thus, 18 out of 25 students = 72% of students who are going on the field trip.

You're welcome.
6 0
3 years ago
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