Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
Answers
9514 1404 393
Answer:
y = -x^2 +3x -4
Step-by-step explanation:
We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...
x = (1 +2)/2 = 3/2
Then the vertex form of the equation can be written ...
y = a(x -3/2)^2 +k
__
We can use two of the points to find the values of 'a' and 'k'.
For (x, y) = (1, -2)
-2 = a(1 -3/2)^2 +k = a/4 +k
For (x, y) = (3, -4)
-4 = a(3 -3/2)^2 +k = 9a/4 +k
Subtracting the first of these equations from the second, we have ...
(9a/4 +k) -(a/4 +k) = (-4) -(-2)
2a = -2
a = -1
Then k can be found from the first equation.
-2 = -1/4 +k
k = -1 3/4
So, the vertex form equation is ...
y = -(x -3/2)^2 -7/4
__
Expanding this, we can find the standard form.
y = -(x^2 -3x +9/4) -7/4)
y = -x^2 +3x -4
Related Questions
3x - 2y = 38
x = 6 - y
Choose a solving method to find the solution
(if possible provide explanation I do not understand this!)
Answers
3(6-y)-2y=38
distribute
18-3y-2y=38
combine like terms
18-5y=38
subtract and divide
y=-4
plug y in
x=6-(-4)
solve
x=10
y= -4
x=10
Please find the measure of the exterior angle
Answers
Answer:
exterior angles:
144°and 36°
126° and 54°
90° and 90°
Step-by-step explanation:
we know that each angle in a triangle adds up to 180°.
so,
2x+3x+5x=180
10x=180
x=180/10
x=18
the interior angles are:
2x=36°
3x=54°
5x=90°
and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)
If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!
Answers
Answer:
x = 8
Step-by-step explanation:
36 - 12 = 24
24/3 = 8
whats 20+1 :3 i hope you lie it!
Answers
Answer:
201
Step-by-step explanation:
dat is the answer or is it fish hmmmmm
jk it's 21 if you actually want the real answer
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answers
Answer:
15.
Step-by-step explanation:
L + L + W + w = 66
L= w+3
W+3 + w+3 + w + w = 66
4xw + 6 = 66
4xw = 66 - 6
4xw = 60
W + W +w +w =60
W= 60/4
W=15
L = 15+3 (=18)
15+15+18+18=66
530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help
Answers
Answer:
6% of 530 is 31.8 hope this is what you ment
Which is a graph of a proportional relationship?
Which one?
Answers
Answer:
third graph (choice three/bottom left)
Step-by-step explanation:
Anything with a proportional relationship will always have a constant ratio (ratios will always be equivilent).
you can eliminate any graph that has an x or y intercept other than zero, or does not have a straight line.
The two main rules of a proportional graph or direct proportion is that:
the line must go through the origin (0,0)the graph must be linearAnswer:
the bottom left one
Step-by-step explanation:
it starts at the origin and as the x value increases, the y value increases too
you can easily rule out out the top two just because it doesn't start at the origin
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Answers
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]
Therefore, it will take 88.2 months to accumulate the amount.
Wilma Workerette worked 43.5 hours last week. Her base pay is $9.00 per hour and she gets time-and-a-half for any hours beyond 40. Using Method 1:
Answers
Answer:
9$
Step-by-step explanation:
Hope this helps!
Good luck on ur assignment/test!‼️
-3(n-3)????????????????!!!
Answers
Determine the slope
(4,12) and (6,20)
Answers
Answer:
4
Step-by-step explanation:
The perimeter of a square is 36cm
What is the area?
Answers
Answer:
81cm²
Step-by-step explanation:
36/4=9
9×9=81
I will mark BRAINLIEST
Answers
Answer:
Im cochie man and give me points plz i need em im sorry :(
Step-by-step explanation:
How do I Answer this question ? using the following directions.
Answers
Answer:
12-2n
Step-by-step explanation:
Difference means to subtract
Times means to multiply
A number would be the variable
hurry i only got 15 min
Answers
-2 is -1 + -1
3= +1+1+1
Answer:
Its the A
first
Step-by-step explanation:
3 is positive ( + )
2 is Negative ( - )
what is 0.3% of 3.7%? round to the nearest hundredth
Answers
Explain to Alana why she might not want to blast her boss on social media just yet.
Answers
What is the value of (-5)^4?
Answers
Answer:
-20
Step-by-step explanation:
Answer:
-625
Step-by-step explanation:
-5× -5 = 25
25 × 25= 625
Identify the x and y intercepts 10x+4y=-20
Answers
Answer:
(-2,0) and (0,-5) on the graph for the interprets x and y.
Note: I need points lol, pls put thanks and vote your stars for me! Thx!
The required x and y-intercept of the given equation is x = -2 and y = -5.
Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,
First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2
Second for y-intercept x = 0
10(0) + 4y = -20
y = -5
Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.
learn more about function here:
brainly.com/question/21145944
#SPJ3
The equation for line w is y = 2x – 3. Line d contains the point (4, -1) and is parallel to line w. Which equation
describes line d?
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
y = 2x - 3
Gradient of line w = 2
Gradient of line d = 2
i.e line w and d are parallel.
Equation of line d is:
y - (-1) = 2(x - 4)
y + 1 = 2x - 8
y = 2x - 7
find the difference between the actual values of the two sixes in the number 6036
Answers
how many hundredths are in 11 wholes?
how many hundredths are in 3 tenths?
how many hundredths are in 11.3?
pls help!!!
Answers
Answer:
1) 11/100 or 0.11
2) 3/1000 or 0.003
3) 113/1000 0.113
Step-by-step explanation:
Firstly, hundredths is the same as 1/100.
Multiply every number by 1/100.
11/1 • 1/100 = 11/100 or 0.11
(Remember, 11 over 1 is the same as 1. Multiply the numerators and denominators and you get 11/100).
3/10 • 1/100 = 3/1000 or 0.003
11.3/1 • 1/100 = 113/1000 or 0.113
(Move the decimal once to the right to get rid of the decimal point).
Hope this helps!
what is x and y equal to if x divided by y = 6
Answers
Answer:
x=12 a and y=2
Step-by-step explanation:
In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.
Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?
a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.
b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.
c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.
d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.
e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.
Answers
Estimate the value of 13 (between which two whole number)
Answers
Answer:
C
Step-by-step explanation:
between three and four
plz help me will mark brainlest 1 hour and two or more have to answer must get every one correctt and must answer all three
Answers
page one step three=. 5x/5=15/5
page one step four=. x=3
page two step one=. 6n+3-3=9-3
page two step two=. 6n=6
page two step three=. n=1
page three step one=. m/3+4-4=7-4
page three step two=. m/3=3
page three step three=. m/3*3=4*3
page three step four=. m=9
A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume
Answers
Answer:
44.53
Step-by-step explanation:
I'm smort
Write the point-slope form of an equation for a line that passes through the point with the given slope.
(-6, -2), m = -2
y+2 = 2(x + 6)
y + 2 = -2(x + 6)
y + 2 = -2(x-6)
y - 2 = -2(x + 6)
Answers
y+2=-2(x+6)
Explanation:
Point-slope form: y-b=m(x-a) when the points are (x,y) and (a,b)
“M” means the slope.
Because we are already given a point, we just need to plug in the values as a and b. We can also plug in the value for the slope as m.
y-b=m(x-a)
y-(-2)=-2(x-(-6))
Two negatives make a positive
y+2=-2(x+6)
I hope this helps! Please comment if you have any questions.
what is 2 days to 12 hours in a ratio
Answers
Answer:
1:4 ? not really sure entirely what this question is asking. more context pls ?
Step-by-step explanation:
Answer:
2 to 12?
Step-by-step explanation:
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Answers
Answer:
$80 - $20 = $60 left.
Step-by-step explanation: