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3 years ago

Multiply the binomials: (x + 3y) (3x - 2y)

Mathematics

1 answer:

4vir4ik [10]3 years ago

7 0

multiply the binomials:

(x + 3y) (3x - 2y)

Answer:

Simplify the expression:

3x^2+7xy−6y^2

Steps:

3x·2+7xy-6y·2

Multiply the numbers: 3·2=6

=6x+7xy-6·2y

Multiply the numbers: 6·2=12

=6x+7xy-12y

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Traces of surface x2 + y2 − z2 = 1. Determine the equation for the family of traces in x = n.

pickupchik [31]

Answer:

$\mathbf{y^2 -z^2 =1- n^2}$

Step-by-step explanation:

Give that:

the surface equation is $x^2 +y^2 -z^2 =1$

from the family of traces in x = n given that $x^2 +y^2 -z^2 =1$ , the equation can be represented as :

$n^2 +y^2 -z^2 =1$

$\mathbf{y^2 -z^2 =1- n^2}$

This represents a family of hyperbola for all values of n expects that n = ± 1

So, if n = ± 1,

Then

$y^2 - z^2 = 0$

(y-z) (y+z) = 0

y = ± z

So, for n = ± 1, it is a pair of line for y = z, y = -z

6 0

3 years ago

Solve for the variable:<br> √5-x= √6-x

maxonik [38]

Answer:

There are no solutions. this equation seems wrong

Step-by-step explanation:

5 0

2 years ago

What does simplifying the ratio of am to 250 mm to 50 cm give?

notka56 [123]

If simplifying it means breaking it down with the answer it would be 1/5

7 0

1 year ago

ANSWER PLEASE...

liraira [26]

Answer: The median is 28208 the mean is 28234.6

Step-by-step explanation:

The mode is the number that is repeated the most there can be more than one mode.

4 0

3 years ago

Read 2 more answers

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

6 0

3 years ago