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
Vinil7 [7]
3 years ago
15

Write the equation of a parabola with a vertex and (-5, 2) and a directrix y = -1

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

y=(x+5)²/6 + 1/3

Step-by-step explanation:

Use the distance formula to plug in the values you know:

√(y+1)² =√(x+5)² +( y-2)²

the square roots cancel out

(y+1) ²= (x+5)² +(y-2)²

(y+1) (y-1)= (x+5)² + (y-2) (y-2)

y²+2y+1= (x+5)² + y² -4y+4

the y² cancel out

2y+ 4y = (x+5)² + 4-1

6y= (x+5)² +3

y= (x+5)² /6+ 1/3

You might be interested in
One quarter of Steve's baseball cards are from his dad's collection. Another 0.2 are from his uncle , and 0.5 are from his broth
irina [24]
.25+ .2 +.5= .95 so cousins cards make up 5% so 30 cards is half of that so that make 30 cards 2.5%. So 2.5 x 40 = 100% and 30 x 40=1200..... So Steve has 1200 baseball cards...... Hopefully I'm right... it just feels like it too much cards...;)
4 0
3 years ago
Which of the following ratios are proportional?<br>9/12<br>12/15<br>16/20<br>20/24<br>24/35​
8_murik_8 [283]

9/12 is the correct answer

6 0
3 years ago
A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

p_v =P(t_{70}>1.874)=0.033

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
3 years ago
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distr
andrew11 [14]

Answer:hiiiiiiiii

Step-by-step explanation:

8 0
3 years ago
The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
pishuonlain [190]
Let the height of the kiwi be x, then the height of the ostrich is 20 + 4x.
20 + 4x = 108
4x = 108 - 20 = 88
x = 88/4 = 22
The height of the kiwi is 22 inches.
6 0
3 years ago
Other questions:
  • Please answer. And explain. 20pts
    8·2 answers
  • Which of the following does not have a solution of x ≤ 2?
    10·1 answer
  • Like please help I’m a dummy Yesterday Jack drove 35 1/2 miles used 1 1/4 gallons of gasoline what is the unit rate for miles pe
    8·1 answer
  • Write 3 fraction equivalents for 4/9
    12·1 answer
  • Find all solutions<br> 2cos(theta)+1=0<br> write in radians in terms of pi.
    12·1 answer
  • What is the value of y?
    12·2 answers
  • Anyone.....................​
    9·1 answer
  • Jeremiah's tutor gave him a math problem to solve. The problem was 546÷−6. His tutor said he solved the problem correctly. What
    7·1 answer
  • Find the value of x. Round to the nearest degree as needed.
    6·1 answer
  • Help!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!