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Ostrovityanka [42]

4 years ago

14

Write your own story problem using mixed numbers that need to be scaled up. The problem should

1 answer:

Neko [114]4 years ago

5 0

Jack has a cake and another half of a cake, Jill has 2 and 2/3rds cakes, Blake has 3 and 2/3rds of a cake, Peter has 4 and 2/3rds of a cake, and Daniel has 2 and a half cakes. How many cakes do they have in total?

1+1/2+2+2/3+3+2/3+4+2/3+2+1/2 = 6/6 (finding the least common multiple of 1, 2, and 3)+3/6+12/6+4/6+18/6+4/6+12/6+3/6= 90/6=15 cakes

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Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where <em>p</em> and <em>q</em> are the zeros.

We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.

First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when <em>x</em> = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for <em>a</em>. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

7 0

3 years ago

Help please :( and thanks!!!

Oxana [17]

C is the correct answer

4 0

3 years ago

Read 2 more answers

Please help me, Please answer all 5 questions (please)

Reptile [31]

1.) D.

2.) D.

3.) B.

4.) A.

5.) A.

Hope it helps :)

btw i already answered this :)

4 0

3 years ago

What is the distance from point Yto wx in the figure below?

vovikov84 [41]

Answer:

C

Step-by-step explanation:

The distance YZ is sqrt(34^2-30^2)=16

6 0

3 years ago

Read 2 more answers

What do tge coefficents on the second and first degree terms in the original equation tell you about the arrows flight

kati45 [8]

-4:9 - This is half of the local gravitational constant, -9.8 m/s^2.

29:4 - The initial velocity of the arrow as it was shot upward was 29.4 m/s <u>(approximately 66 mph)</u>

6 0

3 years ago