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loris [4]
3 years ago
6

A Kettle holds 2 litres of water , how many millilitres are equal to 1 cup?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0
Kettle = 2L cup = 1L 1L = 1000mm tell me if this was helpful thanks
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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
Find x and y please!!! I need help!!
jonny [76]

Answer

Step-by-step explanation:

(15x-8y)=52

180=90+52+x

x=38

System of equations:

15x-8y=52

6x+14y=38

y=-6.5+15/8x

6x+14(-6.5+15/8x)=38

6x-91+26.25x=38

32.25x=129

x=4

15(4)-8y=52

60-8y=52

-8y=-8

y=1

x=4

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Step-by-step explanation:

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