The following are on a parabola defining the edge of a ski
(-4, 1), (-2, 0.94), (0.1)
The general form for the equation of a parabola is:
Ax^2+ Bx +C= y
Required:
a. Use the x- and y-values of 1 of the points to build a linear equation with 3 variables: A, B, and C.
b. Repeat this process with 1 of the other to build a 2nd linear equation.
c. Record your equation here. Repeat this process with the other point to build a 3rd equation.

Answers

Answer 1

9514 1404 393

Answer:

  a) 16A -4B +C = 1

  b) 4A -2B +C = 0.94

  c) C = 1

Step-by-step explanation:

Substitute the x- and y-values into the general form equation.

a. A(-4)² +B(-4) +C = 1

  16A -4B +C = 1

__

b. A(-2)² +B(-2) +C = 0.94

  4A -2B +C = 0.94

__

c. A(0)² +B(0) +C = 1

  C = 1

_____

Additional comment

Solving these equations gives A=0.015, B=0.06, C=1. The quadratic is ...

  0.015x² +0.06x +1 = y


Related Questions

Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0

Answers

Answer:

[tex][1, -4 ,5][/tex]

Step-by-step explanation:

In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.

To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.

[tex]a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1[/tex]

[tex]b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4[/tex]

[tex]c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5[/tex]

Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT

Answers

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

What is the solution to the equation fraction 1 over 3x = 6?

x = 18
x = 2
x = fraction 1 over 2
x =

Answers

Hi there!

[tex]\large\boxed{\frac{1}{18}}[/tex]

1/3x = 6

Begin by multiplying both sides by 3 to cancel the fraction:

1/x = 18

Take the reciprocal of both sides:

x = 1/18

Answer:

1/18

Step-by-step explanation:

I N E E D P O I N T S :O)

properties of exponents. the answer is 1/2^12 i need help with the work

Answers

Step-by-step explanation:

Answer in attached image...

hope it helps

(2^-1 -2^-1 × 2^-4)^2

(1/2 - 1/2 × 1/2^4)^2

(1/2 - 1/2^5)^2

(1/2 - 1/32)^2

(16/32-1/32)^2

(15/32)^2

(15/2^5)^2

Must click thanks and mark brainliest

convert the following decimals to a simplified fraction. showing all work

Answers

Hello.

Answer:

1/200, 667/500

I hoped this helped

A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From the 10,000 businesses listed in the telephone book, the committee chooses 150 businesses at random. Of these, 72 return the questionnaire mailed by the committee. The nonresponse rate is ______ percent. (Give your answer as a whole number.)

Answers

Answer:

The nonresponse rate is 52 percent.

Step-by-step explanation:

150 sampled:

72 returned and 150 - 72 = 78

The nonresponse rate is

Percentage that 78 is out of 150, that is:

78*100%/150 = 52%

The nonresponse rate is 52 percent.

Help only #31,33, please thank you

Answers

Answer:

31) 4d + 28            33) 10 + 5

Step-by-step explanation:

31) 4 ( d + 7) = 4 x 7 = 28 = 4d + 28

33) 5 ( 2m + 1 ) = 5. 2m + 5 . 1: 10m + 5

I need to know how to find the area and to simplify it

Answers

Area of parallelogram = b × h

Base = x + 7

Height = x + 3

ATQ

Area = (x + 7) ( x + 3)

x² + 3x + 7x + 21

x² + 10x + 21

Answered by Gauthmath must click thanks and mark brainliest

William sold tooth pick for €2 a pack.On Selling 60% of his ware he still had 200 left.How much money did he collect from his entire sales?

Answers

Answer:

.......................

Please help me with this someone

Answers

9514 1404 393

Answer:

   79 23/24 yards

Step-by-step explanation:

  10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)

  = 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards

_____

Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.

47/24 = 1 23/24

Solve for x.
2(3x - 7) = 16
Simplify your answer as much as possible.
X =

Answers

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

2(3x - 7) = 16

Step 2: Solve for x

[Division Property of Equality] Divide 2 on both sides:                                  3x - 7 = 8[Addition Property of Equality] Add 7 on both sides:                                     3x = 15[Division Property of Equality] Divide 3 on both sides:                                  x = 5

Answer:

X=5

Step-by-step explanation:

divide by 2 on both sides first then you have

3x-7 = 8

take 7 to the other side so that you have an X factor on one side, thus

3x =15

then divide by 3 to remain with X

X = 5


Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.

Answers

Answer: y = -3/2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = -3/2b = y-intercept = 5

y = -3/2x + 5

Answer:

y = -3/2x + 5 totally

Step-by-step explanation:

The two countries with the highest cocoa production are the
Ivory Coast and Ghana. The Ivory Coast produces three times the amount of cocoa
produced in Ghana. (Source: International Cocoa Organization) Express the
amount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana.

Answers

Answer:

38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.

Step-by-step explanation:

the
Calculate the consumer Surplus, if the
demand function is given as pdf=Q²-3q-4 at
the equilbrum
Price of
6.00

Answers

Answer:

2

Step-by-step explanation:

33

2 that should be it i think

a swimming pool is 130 feet long and the length is 3 times the width plus 10 feet. Let x be the width of the pool. how wide is the pool?

Answers

Answer:Perimeter of a rectangle is 2*the length plus 2*the width

P = 2L + 2W and P = 130, so

L + W = 65

Three times the length is equal to 10 times the width, giving

3L = 10W

Substituting into the above for L = 65 – W,

3(65 – W) = 10W

195 – 3W = 10W

195 = 13W

W = 195/13 = 15

W = 15 yards,

And L = (10/3)W = (10/3)*15 = 50

L = 50 yards

Step-by-step explanation:

Convert the following numbers into scientific notation. ( i did them but I feel like they wrong can y’all correct them if they are?)

Answers

Answer:

only 4 is incorrect...

1,450,000 = 1.45 x [tex]10^{6}[/tex] NOT

1,450,000 = 1.45 x [tex]10^{7\\}[/tex]

Step-by-step explanation:

If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum​

Answers

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

Help? Thanks!!!!!!!! If possible show work please!

Answers

Answer:

[tex]B =102[/tex]

[tex]Y = 32[/tex]

Step-by-step explanation:

Solving (47):

To solve for B, we have:

[tex]B + 50 + 28 = 180[/tex] --- sum of angles in a triangle

This gives

[tex]B + 78 = 180[/tex]

Collect like terms

[tex]B =- 78 + 180[/tex]

[tex]B =102[/tex]

Solving (48):

To solve for Y, we have:

[tex]X + Y+ Z = 180[/tex] --- sum of angles in a triangle

This gives

[tex]Y = 180 - X - Z[/tex]

Where

[tex]W+ X=180[/tex] -- angle on a straight line

Solve for X

[tex]X=180 -W[/tex]

[tex]X=180 -100 = 80[/tex]

So, we have:

[tex]Y = 180 - X - Z[/tex]

[tex]Y = 180 - 80 - 68[/tex]

[tex]Y = 32[/tex]

This is Some next level Geometry

Answers

Step-by-step explanation:

Measure of Angle 1 is 115 due to corresponding angles postulate

Measure of Angle 2 is 65 is linear pair postulate.

1 is 115 degrees and 2 is 65 degrees

I need you guy’s help answer thanks so much

Answers

Answer:

(c) (f-g ) (x) = 6x*3 -2x*2 +4x -8

Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2

Answers

Answer:

Option (D) x≥ 0 is absolutely correct

Step-by-step explanation:

The reason is that the square root function is defined for only non negative numbers.

Answer: x is greater than or equal to 0

Step-by-step explanation:

A ladder leans against the side of the a house. The ladder is 19 feet long and forms an angle of elevation of 75 degree when leaned against the house. How far away from the house is the ladder? Round your answer to the nearest tenth.

Answers

Answer: 18.35259

Hope it helps!

Describe what is the most difficult part of solving equations, for you personally.

Answers

What do you personaly feel like is most dificult.

For me its rembering minus signs

Getting everything in the proper spot. Like forming them as according to the formula because after that it’s pretty simple

Determine whether the following polygons are similar. If yes, type 'yes' in the Similar box and type in the similarity statement and scale factor. If no, type 'None' in the blanks. For the scale factor, please enter a fraction. Use the forward dash (i.e. /) to create a fraction (e.g. 1/2 is the same as 12
1
2
).

Answers

Answer:

Step-by-step explanation:

No because the measurement of their angles are different. If the angle measurements were the same, they would have been similar.
You see in the smaller triangle, the given angle is 55 degrees while in the bigger triangle the given angle is 30 degrees.
The angles are in the same place in both triangles. So we will get to the conclusion that they are DIFFERENT.

A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 9 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. ​(a) What is the probability that the two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

Answers

Answer:

36% on first

Step-by-step explanation:


Which is the solution to-x/2<-4
A x<-8
B x2-8
C x <8
D x 8

Answers

Answer:

A.x<-8

Step-by-step explanation:

=1/2x<−4

=2*(1/2x)< (2)*(-4)

= x<-8

Please Help! I will give you the brainiest and a lot of points!

Answers

Ok so I am gonna help you with this question I hope it helps you okay!

To host an event at a popular convention center, it costs $300 plus $45 per person attending. Step 1 of 3 : Write a rational expression that represents how much you would need to charge each attendee in order to cover the cost of hosting the event. Let x be the number of attendees.

Answers

Answer: (300 + 45x) / x

Step-by-step explanation:

Based on the information given in the question, the total cost will be the addition of the fixed cost and the variable cost which will be:

= 300 + (45 × x)

= 300 + 45x

The amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:

= (300 + 45x) / x

f(x)=|x| to the graph of g(x)=∣∣4+x∣∣?

Answers

For this set the inside equal to 0.

4+x=0
x=-4

So from the original function, the graph shifts over 4 units to the left.

(2√8)(√2) =
Select one:
a. 128
b. none of these
c. 6√10
d. 32
e. 8√16

Answers

the answer is B none of these the real answer is 8. hope this helps :)
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