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
inessss [21]
2 years ago
12

Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.

Mathematics
1 answer:
quester [9]2 years ago
8 0
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
You might be interested in
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
grandymaker [24]

The ratio 9:7 gives you following statement:

  • Carl will win in 9 cases from 9+7=16;
  • Carl will lose in 7 cases from 16.

Then the probability that Carl will lose is

Pr(\text{Carl will lose})=\dfrac{7}{16}.

Answer: Pr(\text{Carl will lose})=\dfrac{7}{16}.


7 0
3 years ago
If Owen and Eliza had a combined taxable income of $68,200 and filed their federal income tax return with the Married Filing Joi
tangare [24]

Answer:

9425

D

Step-by-step explanation:

They are in the third tax bracket down. That means that their joint income is over 67900 but less than 137050.

The base rate is 9350. But they are 68200 - 67900 = 300  over the minimum.

So 25% of that 300 is also to be paid to the government 25/100 * 300 = 75 dollars

Now they must pay 9350 + 75 = 9425

Answer D


7 0
3 years ago
Read 2 more answers
How many Erving of 3/4 cup of beans are in half a cup?
jenyasd209 [6]
Well a half cup is 2/4 and if the serving size is 3/4 there is only 66.66% of the serving size needed hope this helps!
7 0
3 years ago
At a team meeting, 80% of the tennis team was there. If there were 12
Illusion [34]

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

8 0
3 years ago
PLZ HELP! 20 POINTS!!
ivann1987 [24]
Given list of values
A = {23, 34, 19, 10, 9, 20, 40, 43, 28, 29, 36, 13, 27, 23, 36, 37, 7}

Sort list A to get list B
B = {7, 9, 10, 13, 19, 20, 23, 23, 27, 28, 29, 34, 36, 36, 37, 40, 43}

The smallest value is 7, so the min is 7
The largest value is 43, so the max is 43

Look through list B to find the middle-most value. What you can do is cross off each pair of outer values (see figure 1 in the attached images) until you are left with the middle value
Or you can note how there are 17 values so the median is at slot 9 (there are 8 values below the median; 8 values above the median; the 8 is from 17/2 = 8.5)

Once you know the median is 27, we split the list B into two parts
The first part, we'll call it L for lower half is
L = {7, 9, 10, 13, 19, 20, 23, 23}
which is the list of all values lower or smaller than the median.
The median of list L is 16 because its the midway point between 13 and 19. We can compute (13+19)/2 = 32/2 = 16. This is the value of Q1

The upper half U is
U = {28, 29, 34, 36, 36, 37, 40, 43}
this list shows all the values larger than the median.
The value of Q3 is 36. We find the midpoint of 36 and 36 which is just 36.
The value of Q3 is the same as the median of list U

------------------------------------------------

Five Number Summary:
Min = 7
Q1 = 16
Median = 27
Q3 = 36
Max = 43

This five number summary is then used to construct the box-and-whisker plot. See figure 2 in the attached images. The diagram shows how each piece of the boxplot is put together (eg: the left edge of the box is the value of Q1). 

5 0
2 years ago
Other questions:
  • Can we listen to Iggy Fancy
    11·1 answer
  • if an amount of $100 in a savings account increases by 10% , then increases by 10% again, is that the same as increasing by 20%
    9·2 answers
  • Please help me out , Currently stuck on this problem
    6·1 answer
  • What is the value of x? Enter your answer in the box. x =
    9·1 answer
  • In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
    5·1 answer
  • A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that min
    12·1 answer
  • 3
    13·1 answer
  • Lin Ying belongs to an athletic club. In 800 m races her times are normally distributed with mean 128 seconds and standard devia
    11·2 answers
  • Find the sum of the first 10 terms of the sequence -8, -2, 4, 10, ...
    10·1 answer
  • Simplify the exponential equation.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!