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3 years ago

Fully simplify. (3x+y)^2

Mathematics

2 answers:

makkiz [27]3 years ago

8 0

9 2 + 6 + ^2 --- HOPE THIS HELPS :))

mamaluj [8]3 years ago

7 0

(3x)^2+2*3xy+y^2
9x^2+6xy+y^2

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In an arithmetic sequence, the nth term an is given by the formula An=a1+(n−1)d, where a1

Gnesinka [82]

Answer:

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term $a_n$ is given by the formula

$A_n=a_1+(n-1)d$

Where $a_1=first term$

d=Common difference

In an geometric sequence, the nth term is given by

$a_n=a_1r^{n-1}$

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

$a_1=1,a_2=4,a_3=7,a_4=10$

$d=a_2-a_1=4-1=3$

$d=a_3-a_2=7-4=3$

$d=a_4-a_3=10-7=3$

$r_1=\frac{a_2}{a_1}=\frac{4}{1}=4$

$r_2=\frac{a_3}{a_2}=\frac{7}{4}$

$r_1\neq r_2$

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

$a_{30}=1+(30-1)(3)=1+29(3)=1+87=88$

Hence, the 30th term of sequence is 88.

5 0

3 years ago

The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see

Bond [772]

Answer:

$Total = 18\frac{1}{4}$

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

$Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

Convert fractions to improper fraction

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6$

Add fractions

$Total = 18\frac{1}{4}$

<em>Hence, the total amount is: </em> $18\frac{1}{4}\b$ <em> pounds</em>

4 0

3 years ago

Write the quantity as percentage of the second (give answers to the nearest whole number).

GarryVolchara [31]

Answer:

Step-by-step explanation:

We need our two numbers to have the same units. Since one number is in cents and the other is in dollars, we should change one of them. It could be either one.

Both numbers in cents:

50/4000

OR, both numbers in dollars:

.50/40.00

Either of these will work. Divide, you will get a decimal answer. Then multiply by 100 to change to a percent.

50÷4000 (OR .5/40)

= 0.0125

times by 100

0.0125 × 100

= 1.25% but the directions said to round to the nearest whole number, that's 1%

4 0

1 year ago

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Point A(-7,-2) is rotated 270 degdees counterclockwise and then shifted down 3 units. What are the coordinates of K'?

Gekata [30.6K]

I don’t know I’m sorry I need points look it up on online

4 0

3 years ago

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GEOMETRY IM STUCK! PLEASE HELP!!

Elza [17]

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4 years ago