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3 years ago

I need help right now, because this is due tomorrow!!!

Mathematics

1 answer:

omeli [17]3 years ago

3 0

Answer:

mean 13.8 / median 14.5

25.86 / 25

14.43 / 15

4.875 / 4.5

5.78 / 6

34.11 / 34

28.29 / 28

14.43 / 14

Please Giiive Brillianst!!!!!!!!!!!

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The equation for a parabola has the form y=ax2+bx+c, where a, b, and c are constants and a≠0. find an equation for the parabola

IRISSAK [1]

The equation of parabola is

$y= ax^2 + bx +c$

For point (-1,-9), equation of parabola is

$-9 = a(-1)^2 +b(-1)+c
\\
-9 = a -b+c$

For point (1,7), equation of parabola is

$7 = a(1)^2 + b(1)+c
\\
7 = a + b +c$

For point (-6,-14), equation of parabola is

$-14 = a(-6)^2 +b(-6)+c
\\
-14 = 36a -6b +c$

So we have three equations , which are

$a - b + c =-9,
\\
a + b + c = 7
\\
36a -6b+c = -14$

Subtracting first two equation will give

$-2b = -16
\\
b=8$

Subtracting second and third equation gives

$a+b+c-36a+6b-c = 7+14
\\
-35a +7b = 21
\\
-5a + b =3$

Substituting 8 for b, we will get

$-5a + 8 =3
\\
-5a = -5
\\
a =1$

back substituting 8 for b and 1 for a, we will get

$1+8+c = 7
\\
c = -2$

So we have

$a=1, b=8 and c=-2$

Therefore required equation is

$y= x^2 +8x-2$

7 0

3 years ago

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 p

nikklg [1K]

X = large boxes and y = small boxes

x + y = 70.....x = 70 - y
60x + 65y = 4300

60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs

x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs

5 0

3 years ago

Write the equation of the line in slope intercept form:

Alina [70]

I hope this helps you