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love history [14]
3 years ago
8

Chloe collected 4 times as many bags of cans as her friend. If her friend collected 1/6 of a bag, how much did Chloe collect?

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
2/3 of a bag might be the anwser
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The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa
vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:  

(-1,14)

14 = a*(-1)^2 + b*(-1) + c  

(2,-7)

-7 = a*2^2 + b*2 + c  

(5, 8)  

8 = a*5^2 + b*5 + c  

Rearranging:

a - b + c = 14  

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1    -1  1

4    2  1

25  5  1

x =

a  

b

c

b =

14

-7

8

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =  

0.055555556 -0.111111111   0.055555556

-0.388888889 0.444444444   -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

2

-9

3

So, a = 2, b = -9, c = 3

5 0
3 years ago
0.2x + 0.3y = 0.5 need help plzz​
krok68 [10]

Answer:

y = − 0.  6 x + 1.6

Step-by-step explanation:

Write in slope-intercept form,  

y = m x + b

Note:

  • The decimals (0.6) and (1.6) ARE repeating...

If you need any other form of working it out let me know!

Glad I could help!!

6 0
3 years ago
Find the value of k if (x-3) is a factor of P(x)=2x3-5x2+3x+k
blsea [12.9K]

Answer:

k = -18

Step-by-step explanation:

If x-3 is a factor, what this means is that if we substitute;

x = 3 into the equation, we should get 0

This is from the factor theorem

Thus ;

P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k

0 = 54 - 45 + 9 + k

k + 18 = 0

k = -18

4 0
3 years ago
The diameter of the sun is about is about 1 390 000 km;
sattari [20]

Answer:

1.39 × 10¹² or 1.39 × 10^12

Step-by-step explanation:

3 0
2 years ago
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For each value of x, determine whether it is a solution to -2=x/8-5
faust18 [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
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