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3 years ago

I just need help with 6c. If you can, please explain how you got the answer.

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

she could do multiplication AND division

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What is the fourth term of the binomial expansion for (3x-2y)6

Thepotemich [5.8K]

One way is to just expand it by using binomial theorem
or to use pascal's triangle

ok so

to find the nth term of a binomial, (a-b). where the binomial is to the r power you do
n-1=k

rCk times $(a)^{r-k}(-b)^k$
and rCk= $\frac{r!}{k!(r-k)!}$

so

4th term
4-1=3
6 is exponent

6C3 $(3x)^{6-3}(-2y)^3$ =
$( \frac{6!}{3!(6-3)!} )((3x)^3(-8y^3)$ =
$( \frac{6*5*4}{1*2*3} )(27x^3)(-8y^3)$ =
$(20)(27)(-8)(x^3)(y^3)=-4320x^3y^3$

the 4th term is $-4320x^3y^3$

7 0

2 years ago

How would I graph this inequality?<br> <img src="https://tex.z-dn.net/?f=7x%2B3y%5C%20%20%5Ctextless%20%5C%206-5x" id="TexFormul

Anon25 [30]

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

$7x+3y$

isolate the variable y

Subtract 7x both sides

$3y$

Divide by 3 both sides

$y$

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is $y=-4x+2$

The slope of the dashed line is negative $m=-4$

The y-intercept of the dashed line is the point $(0,2)$

The x-intercept of the dashed line is the point $(0.5,0)$

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure

3 0

2 years ago

00:00

irina [24]

Answer:

the answer is 16

Step-by-step explanation:

its 16 because 2 quart= 8 cups

and 4pints = 8 cups

5 0

2 years ago

describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give th

SSSSS [86.1K]

We have been given a parent function $f(x)=x^{3}$ and we need to transform this function into $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

We will be required to use three transformations to obtain the required function from $f(x)=x^{3}$ .

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to $g(x)=(x-4)^{3}$ .

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes $g(x)=\frac{1}{2}(x-4)^{3}$ .

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

6 0

3 years ago

How do I solve 34-5x+2(x-2)=15

LenKa [72]

34-5x+2(x-2)=15 1st get rid of () by distributing the 2.
34-5x+2x-4=15 Now collect like terms.
30-3x=15 Get -3x by itself by subtracting 30 in both sides.
-3x=-15 You want X by itself so divide by -3 on both sides.
x=5

8 0

2 years ago

I just need help with 6c. If you can, please explain how you got the answer.​

I just need help with 6c. If you can, please explain how you got the answer.