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jeyben [28]
3 years ago
11

A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?

Mathematics
1 answer:
Aneli [31]3 years ago
3 0
There are 10 deciliters in 1 liter (deci means 10).

Divide 5.25 by 10 to find how many liters are needed.

5.25/10 = 0.525

0.525 liters of milk are needed for the cake.
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M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

\Rightarrow a = \frac{53.12}{64}

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Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

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Step-by-step explanation:

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Read 2 more answers
Using f(X)=x+2 and g(x)=10x-4 , what is f(2) + g(4) ?
Ksivusya [100]
F(2)+g(4)
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g(4)=40-4
g(4)=36

f(2)+g(4)=4+36=40
3 0
3 years ago
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