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3 years ago

Place the indicated product in the proper location on the grid. -4x 3 y 2 (7xy 4 )

Mathematics

2 answers:

Nikitich [7]3 years ago

4 0

<h3>-28x4y6 is the answer</h3>

8_murik_8 [283]3 years ago

3 0

Answer:

-28x^4y^6

Step-by-step explanation:

Given are two terms as

$-4x^3y^2$ and

$7xy^4$

To find the product

we group like terms and find their product

Here we have -4 and 7 for coefficients : Product =-28

x terms are x^3 and x hence product = x^(1+3) =x^4

y terms are y^2 and y^4 hence product = y^(2+4) = y^6

Hence product is

$-28x^4y^6$

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What is true about the solution above.

Masja [62]

ANSWER

$x = \pm \sqrt{3}$

and they are actual solutions.

EXPLANATION

The given equation is:

$\frac{ {x}^{2} }{2x - 6} = \frac{9}{6x - 18}$

Cross multiply

${x}^{2} (6x - 18) = 9(2x -6 )$

This implies;

${x}^{2} (6x - 18) - 9(2x - 6) = 0$

$3{x}^{2} (2x - 6) - 9(2x - 6) = 0$

Factor

$(3 {x}^{2} - 9)(2x - 6) = 0$

$3 {x}^{2} - 9 = 0 \: or \: 2x - 6= 0$

$3 {x}^{2} = 9 \: or \: 2x = 6$

${x}^{2} = 3\: or \: x = 3$

${x} = \pm \sqrt{3} \: or \: x = 3$

The domain of the given equation is

$x \ne3$

Therefore the actual solutions are

$x = \pm \sqrt{3}$

NB: x=3 is not in the domain of the given equation. It cannot be an extraneous solution.

7 0

3 years ago

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0

3 years ago

4x + 3y - z = -6<br> 6x - y + 3z = 12<br> 8x + 2y + 4z = 6

Ket [755]

Answer:

(x, y, z) = (1, -3, 1)

Step-by-step explanation:

Any number of calculators and/or web sites can be used to solve this system of equations. It can be helpful to familiarize yourself with your graphing calculator's capabilities in this area. The solution from one such site is shown below:

(x, y, z) = (1, -3, 1)

Both y and z show up in these equations with coefficients that have a magnitude of 1. This means you can easily use one of those equations to create a substitution for y or for z.

Using the first equation to write an expression for z, we have ...

z = 4x +3y +6

Substituting that into the second and third equations gives ...

6x -y +3(4x +3y +6) = 12 ⇒ 18x +8y = -6

8x +2y +4(4x +3y +6) = 6 ⇒ 24x +14y = -18

Now, we can subtract 4 times the first equation from 3 times the second to eliminate x:

3(24x +14y) -4(18x +8y) = 3(-18) -4(-6)

10y = -30

y = -3

Substituting into the first equation (of the equations in x and y), we have ...

18x +8(-3) = -6

18x = 18

x = 1

Finally, substituting into the equation for z gives ...

z = 4(1) +3(-3) +6 = 1

The solution is (x, y, z) = (1, -3, 1).

___

The equations can also be solved using Cramer's rule, elimination, matrix methods, and other means. When solving by hand, the method of choice will often depend on what you're familiar with and what the coefficients are.

3 0

3 years ago

Help pls!! Is triangle ABC similar to triangle DEF

Paladinen [302]

Answer:

Step-by-step explanation:

NO because all the angles are not congruent.

5 0

3 years ago

Tickets to Disney World are $100..The price is going to increase on January ,What is the cost percentage of change if the cost i

bearhunter [10]

Answer:

I am not so sure but if I were to choose it went up from an 200% increase.

Step-by-step explanation:

8 0

3 years ago