Ask question

Ask question

All categories

3 years ago

6

Multiply a trinomial and a binomial (2x-5)(-3x2+4x-7)

1 answer:

fiasKO [112]3 years ago

5 0

Answer:

-6x3+23x2-34x-35

Step-by-step explanation:

You might be interested in

A table top is shaped like a rectangle whose perimeter is 78in The length is 2 times as long as the width What is the length and

Kisachek [45]

I think the width is 13 and the length is 26 because 13*2=26 26*2=52 52+26=78

7 0

3 years ago

The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constrai

sammy [17]

The Lagrangian is

$L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(4x^2+4y^2-z^2)+\mu(2x+4z-2)$

with partial derivatives (set equal to 0)

$L_x=2x+8\lambda x+2\mu=0\implies x(1+4\lambda)+\mu=0$

$L_y=2y+8\lambda y=0\implies y(1+4\lambda)=0$

$L_z=2z-2\lambda z+4\mu=0\implies z(1-\lambda)+2\mu=0$

$L_\lambda=4x^2+4y^2-z^2=0$

$L_\mu=2x+4z-2=0\implies x+2z=1$

Case 1: If $y=0$ , then

$4x^2-z^2=0\implies4x^2=z^2\implies2|x|=|z|$

Then

$x+2z=1\implies x=1-2z\implies2|1-2z|=|z|\implies z=\dfrac25\text{ or }z=\dfrac23$

$\implies x=\dfrac15\text{ or }x=-\dfrac13$

So we have two critical points, $\left(\dfrac15,0,\dfrac25\right)$ and $\left(-\dfrac13,0,\dfrac23\right)$

Case 2: If $\lambda=-\dfrac14$ , then in the first equation we get

$x(1+4\lambda)+\mu=\mu=0$

and from the third equation,

$z(1-\lambda)+2\mu=\dfrac54z=0\implies z=0$

Then

$x+2z=1\implies x=1$

$4x^2+4y^2-z^2=0\implies1+y^2=0$

but there are no real solutions for $y$ , so this case yields no additional critical points.

So at the two critical points we've found, we get extreme values of

$f\left(\dfrac15,0,\dfrac25\right)=\dfrac15$ (min)

and

$f\left(-\dfrac13,0,\dfrac23\right)=\dfrac59$ (max)

5 0

4 years ago

In a packet of 40 skittles , 30% are red . How many skittles are not red ?

algol13

Answer:

12

Step-by-step explanation:

I just did the math on how much 30% is in 40 and I got the answer 12 I hope this helps you!

7 0

3 years ago

Daniela has money automatically deposited into a saving account each week.After 3 weeks,she has $18.After 5 weeks,she had $30.Th

umka21 [38]

Answer:

Step-by-step explanation:

the answer is six you divide 18 by three and boom

7 0

3 years ago

Simplify (x^3/8)^3/4

Viktor [21]

When an exponent is raised to another exponent, you can multiply the powers to simplify them.

3/8*3/4

<em>*Multiply numerators*</em>

3*3=9

<em>*Multiply denominators*</em>

8*4=32

x^9/32

Hope this helps!!

4 0

3 years ago

Read 2 more answers