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4 years ago

I'm using double number lines. Martin bought 3 DVDs for $15.00 on Black Friday. At this price, how much would 8 DVDs cost?

1 answer:

6 0

First of all, I find it easiest to write n equation.

3 / 15 x 8 =

Now that we have an equation, we can figure out a solution.

3 / 15 = 5
5 x 8 = 40

So 8 DVD's would cost $40.00.

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If f(x) is a third degree polynomial function, how many distinct complex roots are possible?

monitta

Answer:

0 or 2

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots.

Since degree 3 then there are 3 possible roots

Since complex roots occur in conjugate pairs then

There can be 0 or 2 complex roots.

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3 years ago

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A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)

Ray Of Light [21]

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

$y=Ab^x$ (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x = $\dfrac{t}{3}$ , where t= number of months.

Substitute the value of b and x in (1) , we get

$y=A(2)^{\dfrac{t}{3}}$ , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A = $\dfrac{1600}{100}\times A=16A$

At y= 16 A , $16A=A(2)^{\dfrac{t}{3}}$

$\Rightarrow\ 16=2^{\dfrac{t}{3}}$

$\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}$

$\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12$

Hence, it will take 12 months to be 1600% in weight.

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3 years ago

.........................

Anastasy [175]

Y = 12x where x is the # of students and y is the # of adults

Or for every 12 students there's 1 adult

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3 years ago

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What is 4534 rounded to rhe nearest hundred

vichka [17]

The answer is 4500 because 3 is less than 5 so we dont have to add one to five

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3 years ago