1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
3 years ago
12

Which statement correctly describes the relationship between the graph of f(x) = 2x and the graph of g(x) = f(x) - 4?

Mathematics
1 answer:
katrin [286]3 years ago
8 0
The graph of g(x) is the graph of f(x) translated 4 units up
You might be interested in
Find the center-radius form of the equation of the circle described. Then graph the circle. Center (0,0), radius 8
Pani-rosa [81]
If the center is (0, 0), then there is no side to side or up or down motion. The center is at the origin. The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Your h and your k are both 0's, so just fill in and square the radius:
x^2 + y^2 = 64
7 0
3 years ago
Suppose you have $10,000 to invest. Which of the two rates would yield the larger amount in 4 years. 7% compounded quarterly or
GalinKa [24]
K=\$10,000\ \ \ and\ \ \ Sum=K\cdot(1+ \frac{p}{100})^n\\----------------------- \\1)\ \ \ 7\%\ quarterly\\\\ \ \Rightarrow\ \  \frac{1}{4} \cdot7\% =1.75\%\ \ annually\ \ \Rightarrow\ \ p=1.75\\\\ quarterly\ \Rightarrow\ \  4\ times\ annually\ \Rightarrow\ \ 16\ times\ in\ 4\ years\ \Rightarrow\ \ n=16\\\\Sum(7\%)=\$10,000\cdot(1+ \frac{1.75}{100})^{16}=\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ =\$10,000\cdot(1+0,0175)^{16}\approx\$13199.29\\------------------------\\

2)\ \ \ 6.94\%\ daily\\\\ \ \Rightarrow\ \  \frac{1}{365} \cdot6.94\% \approx0.019\%\ \ annually\ \ \Rightarrow\ \ p=0.019\\\\ daily\ \Rightarrow\  365\ times\ annually\ \Rightarrow\ 1420\ times\ in\ 4\ years\ \Rightarrow\ n=1420\\\\Sum(6.94\%)=\$10,000\cdot(1+ \frac{0.019}{100})^{1420}=\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ =\$10,000\cdot(1+0,00019)^{1420}\approx\$13096.69\\---------------------------\\\$13,199.29 > \$13,096.69\\\\Ans.\ the\ larger\ amount\ gives\ the\ compounded\ quarterly.
5 0
3 years ago
According to the University of Nevada Center for Logistics Management, 6% of all mer-
Fudgin [204]

Answer:

a) The point estimate of the proportion of items returned for the population of

sales transactions at the Houston store = 12/80 = 0.15

b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].

c) Yes.

We set an hypothesis and construct a test statistics. The test statistics result gives us:

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

Step-by-step explanation:

a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.

b) By formula of confident interval:

CI(95%) = p ± Z*\sqrt{\frac{p*(1-p)}{n} }  =  0.15 \pm 1.96 *\sqrt{\frac{0.15*(1-0.15)}{80} },

CI(95%) = [0.0718 < p < 0.2282]

c) The hypothesis:

H_{0}: The proportion of returns at the Houston store is not significantly different from the returns  for the nation as a whole.

H_{a}: The proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

The test statistics:

Z = \frac{\hat{p} - p_{0}}{\sqrt{\frac{p*(1-p)}{n} }}, where p_{0} is the proportion of nation returns.

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

6 0
2 years ago
Which expression is equivalent to 3x + 2.5(4x + 2)?
Alex787 [66]

Answer:

I think its B

Step-by-step explanation:

Hope this helps:)

6 0
2 years ago
Read 2 more answers
Number 20 pls I need help with this one
Norma-Jean [14]
He uses 5/8 tanks of gas in one week.

In 5 he will use, 5/8 *5 = 25/8 in 5 weeks 
This can be simplified too:
3.125 tanks of gas

The answer is, 25/8 tanks of gas or 3.125 tanks of gas

3 0
3 years ago
Other questions:
  • The quadratic equation x2 + mx + q = 0, where m and q are real numbers, has the complex root a + bi.?
    5·1 answer
  • Help me i dont understand this question
    12·1 answer
  • The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each s
    15·2 answers
  • Can some answer these math questions asap thanks
    7·1 answer
  • Jeff is meeting billy at the park to play basketball at 2:30 p.m on the way to the park Jeff took 5 minutes stop and talk to his
    13·2 answers
  • Which inverse trig function could I use to solve this problem?
    13·1 answer
  • February has 28 days. It rained on <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1" title="\frac{3}{4}"
    15·2 answers
  • Plz help me with this
    8·1 answer
  • Write a numerical expression that represents the total amount of money that Giorgio spent on his dinner ingredients. Use parenth
    10·2 answers
  • Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!