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3 years ago

The curve y=ax2+bx+c passes through (2,5) (3,12) and (-1,-4).find the equation of the curve

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

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Aproximately 1 in 28 people of ashkenazi jewish descent are tay-sachs carrier. ... from this population, what is the probability

zmey [24]

If we randomly pick two persons from the population, each one will have a probability of 1-1/28=27/28 of being a non-carrier.
Thus for neither to be non-carrier, the probability is the product of the individual probabilities since the picks are assumed independent (with a large enough population).

Probability = (27/28)*(27/28) = 729/784
or approximately 0.930

8 0

3 years ago

Find g(x), where g(x) is the translation 1 unit up of f(x)=x.

Lilit [14]

Answer:

$\orange{ \rule{40pt}{555555pt}}$

7 0

3 years ago

A book has 150 pages and you read 3 pages per day.after a certain number of days,there are 60 pages left.write an equation to sh

kotegsom [21]

3x+60=150 can be used to determine the number of days you read. Solving the equation determines that you have been reading for 30 days.

Step-by-step explanation:

Total pages = 150

Pages per days = 3

Pages left to read = 60

Let,

x be the number of days.

According to given statement;

Total pages = Pages per day*number of days + Pages left to read

$150=3x+60\\150-60=3x\\90=3x\\3x=90\\$

Dividing both sides by 3

$\frac{3x}{3}=\frac{90}{3}\\x=30$

3x+60=150 can be used to determine the number of days you read. Solving the equation determines that you have been reading for 30 days.

Keywords: linear expression, division

Learn more about linear expression at:

#LearnwithBrainly

7 0

3 years ago

Lupe sold 40 tickets for a play. She sold some tickets at $3 each and other tickets at $5 each. She collected $136. How many $3

GrogVix [38]

Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136

Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40 (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
-----------------------------------------
5x + 5y = 200
3x + 5y = 136
------------------ -
2x = 64
x = 64/2
x = 32
The value of x is 32. She sold 32 tickets worth $3

8 0

3 years ago

Find the missing side of the triangle :)

kati45 [8]

Answer:

x=15

Step-by-step explanation:

Hey There!

So what we want to do is inverse operations from the formula of area of a triangle

The area is equivalent to

$A=\frac{hb}{2}$

h=height

b=base

now we setup an equation with what we are given

we are given A (area) and h(height)

so the equation looks like...

$75=\frac{10b}{2}$

now we solve for b (x)

step 1 multiply each side by 2

75x2=150

/2x2 cancels out

now we have

150=10b

step 2 divide each side by 10

150/10=15

10/10 cancels out

b=15

We can conclude that the base (aka x) is equal to 15

7 0

3 years ago