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
Alexeev081 [22]
3 years ago
5

using three data points (x,y) that we know Evil passed through and the general quadratic equation, create three corresponding eq

uations:
Mathematics
1 answer:
Katen [24]3 years ago
7 0
The general quadratic equation is y = ax^2 + bx + c.

Let's see whether it's possible to invent 3 separate points thru which the graph of a quadratic passes and then to create 3 equations in a, b and c:

Suppose the points are (-3,2), (-1,1) and (2,4).

Focus on (-3,2):  Here x= -3 and y= 2.  Then 2 = a(-3)^2 + b(-3) + c, or
                                                                        2 = 9a - 3b + c

Do the same thing for the other 2 points, (-1,1) and (2,4).

When you're done, you'll have 3 linear equations in the variables a, b and c.

You were not asked to solve for a, b and c.

If you want, however, we could go thru that process.
You might be interested in
Convert n √a into pure surds​
Brrunno [24]

Answer:

√n²a

Step-by-step explanation:

aaand this app needs 20 characters

4 0
2 years ago
How do i evaluate it????
Kitty [74]

Answer:

1 for all evaluate questions

Step-by-step explanation:

just remember anything to the zero power is 1

4 0
3 years ago
I NEED HELP PLEASE! ITS DUE TOMORROW!! THANKS!
Aleksandr-060686 [28]

Answer:

Katie is not cheating. From the question, it sounds like Katie's spinner is 1-12. James has two dice so he has two sets of each number 1-6. This means that Katie can roll two numbers greater than six but James can only roll up to six. Using probability, I think there is a 50% chance that Katie's number will be bigger than James every time she spins. A fairer way would be for them both to play with the same dice or spinner.

Step-by-step explanation:

3 0
2 years ago
A rectangle prism is shown below. What is the volume of the prism?
8_murik_8 [283]
I can help with the formula just do the math on a calculator you multiply length x width x height
8 0
2 years ago
A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?
kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

f(x)=\frac{1}{2^{2x}}   (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]  (2)

To solve this derivative you use the following derivative formula:

\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

-2(ln2)2^{-2x}=-1

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235

With this value you calculate f(a):

f(a)=\frac{1}{2^{2(0.235)}}=0.721

Next, you use the general equation of line:

y-y_o=m(x-x_o)

for xo = a = 0.235 and yo = f(a) = 0.721:

y-0.721=(-1)(x-0.235)\\\\y=-x+0.956

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

0=-x+0.956\\\\x=0.956

hence, the x-intercept of the tangent line is 0.956

5 0
2 years ago
Other questions:
  • Resultado de x/12 = 9/x+2
    10·1 answer
  • CD is the perpendicular bisector of both XY and ST, and CY=20. Find SX.
    14·2 answers
  • What is the length of the base of a right triangle with an area of 20 m^2 and a height of 4 m?
    11·1 answer
  • Question #2 MultipleChoice
    13·2 answers
  • The equivalent resistance of R1 = 1000 ohms and R2 = 1500 ohms connected in parallel is _____ ohms.
    12·1 answer
  • 0.4 divided by 7.29
    13·1 answer
  • Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
    15·1 answer
  • What is 6 divided by 3/8?
    8·2 answers
  • A number cube was rolled as part of an experiment. The results are displayed in the table below.
    6·2 answers
  • PLEASE HELP IN MATH URGENT..
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!