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Masja [62]
3 years ago
10

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) an

d g(x)? The two functions have no points in common. The two functions have the same initial value. The two function have opposite output values of each other for any given input value. The graph of the two functions would look exactly the same.
Mathematics
2 answers:
Natalija [7]3 years ago
5 0

We are given

An exponential function f(x) is reflected across the y-axis to create function g(x)

we know that whenever we have to reflect any function about y-axis , we will always replace x as -x

so, we reflect f(x) about y-axis

so, we can replace x as -x

we get new function as

f(-x)

and that is g(x)

so, we get

g(x)=f(-x)

Initial value means value of function at x=0

so, we will plug x=0

we get

g(0)=f(-0)

g(0)=f(0)

we can see that both f(x) and g(x) have same initial value

so,

The two functions have the same initial value............Answer

denis23 [38]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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I will give brainiest to whoever answers correctly !!
IgorC [24]

Answer:

Interest rate, R = 244%

Step-by-step explanation:

Given the following data;

Principal = $270

Simple interest = future amount - principal = 309.60 - 270 = $39.60

Time = 22/360 = 0.06 years

To find the interest rate?

Mathematically, simple interest is calculated using this formula;

S.I = \frac {PRT}{100}

Where;

  • S.I is simple interest.
  • P is the principal.
  • R is the interest rate.
  • T is the time.

Substituting into the equation, we have;

39.60 = \frac {270*R*0.06}{100}

Cross-multiplying, we have;

39.6 * 100 = 16.2*R

3960 = 16.2R

R = \frac {3960}{16.2}

<em>Interest rate, R = 244.44 ≈ 244%</em>

<em>Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.</em>

5 0
3 years ago
If the p-value is smaller than the level of significance, what conclusion should we reach?
marshall27 [118]

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

Learn more about p-value here

brainly.com/question/15855760

#SPJ4

7 0
2 years ago
Who prescribed the most medicine and why explain
Veronika [31]
The answer is either Dr Tanenbaum or Dr hong.<span />
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
3 years ago
A scale reports a 15-pound weight as weighing 12.375 pounds. Which of the following is true?
rusak2 [61]

Answer:

C

Step-by-step explanation:

If it is accurate then it would have gotten the correct weight, but by going down to the thousandths it would be precise


4 0
4 years ago
Read 2 more answers
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