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3 years ago

Please help and can you please give an explanation.

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

The third option choice

Step-by-step explanation:

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11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =

sergiy2304 [10]

Answer:

okay, we need to add up for all k=1 till k=22

we could do it like this

(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...

but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum

we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"

the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22

so we could write

"-4 * (1+2+3+4+5+6+7...+21+22l

alot simpler and faster, but not fast enough

let's add up all numbers from 1 to 22 into one number

1 + 22 = 23

2 + 21 = 23

3 + 20 = 23

...

this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just

23*11= 230+23 = 252

now let's construct the final calculation

-4 * 252 -13*22 = -1294

there's your sum.

hope it helps you overall.

brainliest would be very kind ic some else leaves an answer, may it be just a greeting

4 0

3 years ago

Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

Which values of a and b make the following equation true? a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10

lora16 [44]

A = 11, b = 7
You just needed to multiply the terms together

6 0

3 years ago

Read 2 more answers

» What is Mary's running speed in<br> miles per hour?<br> 10/2 = ?

defon

The answer is 5 because 10 divided by 2 is 5

7 0

2 years ago

Three friends went apple picking and then counted the apples they picked.Who had the largest red to green apple ratio? Use compl

antoniya [11.8K]

Answer:

Carmen had the largest red to green apple ratio of 5 : 3

Step-by-step explanation:

Red apples : Green apples

Carmen = 20 red apples : 12 green apples

= 20 / 12

= 5 / 3 = 1.67

= 5 : 3

Dylan = 12 red apples : 10 green apples

= 12 / 10

= 6 / 5 = 1.2

= 6 : 5

Eli = 16 red apples : 20 green apples

= 16 / 20

= 4 / 5 = 0.8

= 4 : 5

Carmen had the largest red to green apple ratio of 5 : 3

7 0

3 years ago