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3 years ago

Which of the following is(are)the solution(s) to |x+3|=12?

1 answer:

3 0

For the equation, we only know that x+3= 12 or x+3 = -12.

(X+3=12) First possible solution.
X +3 = 12
Add -3 to each side which will get rid of 3 and leave X= 12-3
Which leads to X= 9.
(X+3= -12) Second possible solution.
X+3= -12
Add -3 to both sides which will get rid of 3 and leave x= -12 -3
Which leads to x= -15

Answer: x= 9 or x= -15

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J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

Step 1 :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

verification:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

3 0

3 years ago

Find the distance between the parallel lines m and n whose equations are

MA_775_DIABLO [31]

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4 = x - 6 add x, 6 to both sides

10 = 2x divide both sides by 2

5 = x

So...using -x + 4, the y value at intersection = -1.......

So...we just need to find the distance from (0,4) to ( 5, -1) =

√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units

Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)

Step-by-step explanation:

8 0

3 years ago

A description of different houses on the market includes the following three variables. Which of these variables is quantitative

Grace [21]

Answer:

Step-by-step explanation:

D.All of the above

6 0

3 years ago

Make s the subject, v squared = u squared + 2as

tatiyna

v² = u²+2as

2as = v²-u²

s = (v²-u²)/2a

6 0

3 years ago

Read 2 more answers

(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost

xeze [42]

Answer:

f(x)= $70 - $1.5*x

Step-by-step explanation:

You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:

$5 + $15= $20

Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:

$1.5*x

So the money spent after x rides can be expressed as:

$20 + $1.5*x

Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:

$90 - ($20 + $1.5*x)

$90 -$20 -$1.5*x

$70 - $1.5*x

By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:

f(x)= $70 - $1.5*x

5 0

3 years ago