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Makovka662 [10]
3 years ago
9

Find the quadratic polynomial whose graph goes through the points (-1,8), (0,6), and (2, 26). f(0) = x^2+ x+

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

4x² + 2x + 6 = 0

Step-by-step explanation:

The polynomial which has highest degree 2 is known as quadratic polynomial. It is of the form:

ax² + bx + c = 0

where, a ≠ 0 and a, b & c are any constant.

We have given three points (-1, 8), (0, 6), and (2, 26)

Putting these value of (x, y) in quadratic equation one by one.

We get, three equations:

8 = a - b + c

6 = c

26 = 4a + 2b + c

Solving these equations, We get,

a = 4, b = 2 and c = 6

Now putting these values of a, b, and c in standard quadratic equation.

We get,

4x² + 2x + 6 = 0

which is required equation.

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Serial numbers for a product are to be made using 2 letters followed by 2 digits. The letters are to be taken from the first 6 l
Andru [333]
Alright so I'm coming up with this on the fly; you have the first six letters (a,b,c,d,e,f) and 0-9 and your ten numbers. calculate the amount of possible combinations for the letters by simply writing them down.
ab, ac, ad, ae, a f- five
bc, bd , be, bf- four
cd, ce, cf- three
de, df- two
ef,- one.
adding these all together gets a total of 15 for the letters. now the numbers
01, 02, 03, 04, 05, 06, 07, 08, 09- nine
12, 13, 14, 15, 16, 17, 18, 19- eight
23, 24, 25, 26, 27, 28, 29- seven
34, 35, 36, 37, 38, 39- six
45, 46, 47, 48, 49- five
56, 57, 58, 59- four
67, 68, 69- three
78, 79- two
89- one
added together with a total of 45 combinations.
alright so, 45 different number combinations and 15 letter combinations. multiplying 15 by 45 should tell you the total possible combinations for a two letter and two number serial-number

5 0
3 years ago
Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.
Liula [17]

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

5 0
3 years ago
What is the area of a 14 centimeter long and 10 centimeters wide in square meters
JulsSmile [24]

Step-by-step explanation:

Area = length × width

= 14 × 10

= 140cm^2

6 0
3 years ago
Read 2 more answers
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___
JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

9 0
3 years ago
Jimmy has $350,and he spends $320.76 on a television .How much money does he have left?
Kitty [74]

Answer:

$29.24 THIS IS 100% CORRECT!!!!!!!!

Step-by-step explanation:

350-320.76=29.24

3 0
4 years ago
Read 2 more answers
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