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3 years ago

Perform the indicated operation. (2x + y)(3x^2 + y)

Mathematics

1 answer:

alekssr [168]3 years ago

4 0

Answer:

$(2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)$

Step-by-step explanation:

The given expression is $(2x+y)(3x^2+y)$ .

We expand the parenthesis using the distributive property to obtain;

$(2x+y)(3x^2+y)=2x(3x^2+y)+y(3x^2+y)$

We expand further to get;

$(2x+y)(3x^2+y)=6x^3+2xy+3x^2y+y^2)$

This gives us;

$(2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)$

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0.04 is 1/10 0f what

PSYCHO15rus [73]

0.04, or 4 hundredths is 10 percent of 0.40
10 times 0.04 gives you 0.40

8 0

3 years ago

Read 2 more answers

Which could be the function?

sladkih [1.3K]

Answer:

$f(x)=(x-4)^{2}$

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

Verify each case

case a) we have

$f(x)=(x+4)^{2}$

The vertex is the point (-4,0)

therefore

Cannot be the function

case b) we have

$f(x)=x^{2}+4$

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

case c) we have

$f(x)=(x-4)^{2}$

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

case d) we have

$f(x)=x^{2}-4$

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

8 0

3 years ago

Read 2 more answers

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0

3 years ago

Help me on this one guys. I’m so bad at math as well as some other subjects

Svetradugi [14.3K]

Hey smart cookie ;)

So with this all we need to do is factor the expression.
Our answer is going to be 2x(16x^4+15)

Let me know if you have other questions!
Have a terrific day.
~Brooke❤️

7 0

3 years ago

What is 4 1/2 pint to quart?

Ivanshal [37]

There are two pints every quarter.

So let's convert pints to quarter

$\frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}$

There 4 1/2 pint is to 9/4 quarter.

Hope that helps!

p.s. look at my diagram to help you remember

5 0

2 years ago