All categories

1 year ago

Assume f(x) = g(x). Which of the following pairsof functions may be used to represent theequation 3^x+^2 = 7x + 6?

Mathematics

1 answer:

Aloiza [94]1 year ago

4 0

Functions and equations

We have that:

$3^{x+2}^{}=7x+6$

Let's name each side of it with f(x) and g(x):

Then, we have that:

$\begin{gathered} f(x)=3^{x+2} \\ \text{and} \\ g\mleft(x\mright)=7x+6 \end{gathered}$

Then, the answer is C

<h2>Answer: C</h2>

You might be interested in

A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0

3 years ago

If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and one king

NeX [460]

There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.

8 0

3 years ago

Read 2 more answers

What is the slope of y = -3x + 3?

AnnZ [28]

Use the slope intercept form y=mx+b, where m is the slope and b is the y-intercept. So with saying that plug your problem in so y = -3x+3 so your answer would be m=-3 which is the slope.

~Hope this Helps! Good Luck!~

8 0

3 years ago

Read 2 more answers

The maximum speed of the Tupolev Tu-144 airliner is 694m/s what is the speed in kilometers per hour

saw5 [17]

Best Answer: 694 m = 0.694 km
1hr = 3600 s
3600 × 0.694 = 2498.4 km/h

6 0

4 years ago

Help is appreciated!! ❤ Simplify the expression (5 + √3)(5 - √3)

Mademuasel [1]

Here’s a photo on how to do it! If you need help in more problems like this use a website called Symbolab!! It’s really helpful!!

5 0

4 years ago