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Morgarella [4.7K]
3 years ago
13

Consider the expression: (x + 3)•(y + 1)•(x + 2)

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

First we multiply x through (y+1). This equals xy +x.

Second we take 3 through (y+1). This equals 3y+3.

Next we take xy + x through (x+2). This equals 2x squared, y + 2x squared.

Fourth we take 3y+3 through (x+2). This equals 6xy + 6x.

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The city of Raleigh has 9500 registered voters. There are two candidates for city
kotykmax [81]

Answer:

Population = All registered voters in Raleigh city

Population size = 9500

Sample size = 360

Proportion of sample statistic for brown = 0.3167

3008 voters

Step-by-step explanation:

Population refers to all elements which meets the requirement for a specific experiment or research interest.

Number of voters for brown = 114

Number of voters for Feliz = 210

Undecided = 36

Sample statistic for proportion in support of brown :

Proportion = x / n

x = number who said they'll vote for brown

n = sample size

Sample statistic for proportion in support of brown = 114 / 360 = 0.3167

Using the proportion ; number from population who'll vote brown :

Sample proportion * population size

0.3167 * 9500 = 3008 voters

3 0
3 years ago
Find the product -mnp(3m-5n+7p)
allochka39001 [22]
(−m)(n)p(3m−5n+7p)

=((−m)(n)p)(3m+−5n+7p)

=((−m)(n)p)(3m)+((−m)(n)p)(−5n)+((−m)(n)p)(7p)

=−3m^2np+5mn^2p−7mnp^2

5 0
3 years ago
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Nostrana [21]
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees. 

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180      Substitute the given values for angles A and C
    x+2+x-2=180       Combine like terms
             2x=180       Divide by 2 in both sides to isolate x
               x=90

Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10             Substitute the value of x
m<D=90-10           Combine like terms
m<D=80

m<B=180-m<D       Substitute the value of angle D
m<B=180-80           Combine like terms 
m<B=100

The measure of angle B is 100 degrees, and the value of x is 90.
7 0
3 years ago
Can you help me with explanation will give brainiest
Ipatiy [6.2K]

Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

6 0
2 years ago
Diego's family spends $87 on 4 tickets to the fair and a $39 dinner.
svlad2 [7]

Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

Step-by-step explanation:

Lin buys 87 pencils which is why the entire number line adds up to 87.

She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.

The rest of the number line is a set of 4 spaces which are equal.

Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.

6 0
3 years ago
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