How much blue and yellow paint should a store mix to make 98 gallons of glowing green paint

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

49 each! 49+49= 98

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What is the completely factored form of d4 -8d2 + 16

irinina [24]

According to Vieta's Formulas, if $x_1,x_2$ are solutions of a given quadratic equation:

$ax^2+bx+c=0$

Then:

$a(x-x_1)(x-x_2)$ is the completely factored form of $ax^2+bx+c$ .

If choose $x=d^2$ , then:

$\displaystyle x^2-8x+16=0\\\\x_{1,2}= \frac{8\pm \sqrt{64-64} }{2}=4$

So, according to Vieta's formula, we can get:

$x^2-8x+16=(x-4)(x-4)= (x-4)^2$

But $x=d^2$ :

$d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2$

8 0

3 years ago

Which answer describe the type of sequence? 3,9,15,21

Alenkinab [10]

Answer:

The sequence is arithmetic

we know that

In an arithmetic sequence, the difference between consecutive terms is always the same and is called common difference

In this problem we have

3,9,15,21,...

Let

a1=3, a2=9,a3=15,a4=21