answer.
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
PolarNik [594]
2 years ago
11

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? 4 units to the

left 4 units to the right 8 units to the left 8 units to the right
Mathematics
2 answers:
Mama L [17]2 years ago
8 0
Left is plus right is negative -11-(-15)=4  so you know 4 to the left
ira [324]2 years ago
4 0

we have

y=2(x-15)^{2}+3

this is the equation of a vertical parabola open up with vertex at point (15,3)

y=2(x-11)^{2}+3

this is the equation of a vertical parabola open up with vertex at point (11,3)

so

the rule of the translation is

(x,y)---------> (x-4,y)

that means

the translation is 4 units to the left

therefore

<u>the answer is</u>

4 units to the left

You might be interested in
Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno
tensa zangetsu [6.8K]
<h2>Answer with explanation:</h2>

As per given , we have

\hat{p}=0.48   , n=331

Critical value for 90% Confidence interval : z_{\alpha/2}=1.645

a) Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : (0.45254,\ 0.50746)

b) Margin of error : E=1.5%=0.015

Formula for sample size : n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

For p =0.48 , we  have

n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002

Hence, the required sample size to survey = 3002

6 0
2 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
2 years ago
What is the minimum number of points needed to determine the equation of a line containing those points?. The choices are the fo
vodomira [7]
I believe the correct answer among the choice presented above is the second option. The minimum number of points needed to determine the equation of a line containing those points is two. This is because two points is also needed to make or define a line.
5 0
2 years ago
Read 2 more answers
Write a word problem that involves multiplication and addition. Include extra numerical information
Darya [45]
Sally bought 5 apples at the store. Her friend, jenny, bought 4 times as many apples as Sally. Jonathan bought 6 more apples than Sally. How many apples did Jenny buy?
8 0
2 years ago
Read 2 more answers
Tara and Levi are trying to decide between homeowners insurance policies offered by two different agencies. AAA Insurance has of
nlexa [21]
Given:
House valued at $ 425,000
AAA Insurance: $0.38 per 100 with a $500 deductible
425,000 / 100 = 4,250
4,250 x 0.38 = 1,615 annual premium

Thompson’s insurance: $0.26 per 100 with a $1000 deductible
425,000 / 100 = 4,250
4,250 x 0.26 = 1,105 annual premium
If an incident occurs that results to damage or loss to their home, the couple shall shell out 500 before AA Insurance can take over payment for expenses. On the other hand, the couple will shoulder 1,000 before Thompson’s insurance take over payment for expenses in the event there is an incident that results to damage or loss to their home.

c. Thompson’s Insurance is cheaper even if Tara and Levi experience an incident that results in severe damage or loss to their home.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Using the line of best fit, estimate how may miles Jack ran the 10th week; show work.
    9·2 answers
  • A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If
    10·2 answers
  • Find the illegal values of b in the fraction 2b^2+3b-10/b^2-2b-8
    6·2 answers
  • Find the percent of change from 78 pounds to 19 pounds. Round to the nearest tenth of a percent if necessary.
    9·1 answer
  • A cell phone company collected data if texting speed in words per minute according to time in minutes. explain why a scatter plo
    7·2 answers
  • A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
    9·1 answer
  • The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
    13·1 answer
  • A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
    9·1 answer
  • Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integ
    15·1 answer
  • PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!